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Basic Java Programming for Developers New to OO (TT2120)

By Nexus Human

Duration 5 Days 30 CPD hours This course is intended for In order to be successful in this course you should have incoming hands-on experience with another programming language. This course is not for non-developers or new developers. Possible roles that may attend this course include: Software Developers: Professionals who have been working with other programming languages and want to expand their skillset by learning Java and its object-oriented features. Web Developers: Those who work on web applications and want to enhance their back-end development capabilities with Java. Mobile App Developers: Developers who wish to enter the world of Android app development, where Java is a widely used language for creating mobile applications. Overview This 'skills-centric' course is about 50% hands-on lab and 50% lecture, designed to train attendees in core OO coding and Java development skills, coupling the most current, effective techniques with the soundest industry practices. Our engaging instructors and mentors are highly experienced practitioners who bring years of current 'on-the-job' experience into every classroom. Working in a hands-on learning environment, guided by our expert team, attendees will learn to: Understand what OO programming is and what the advantages of OO are in today's world Work with objects, classes, and OO implementations Understand the basic concepts of OO such as encapsulation, inheritance, polymorphism, and abstraction Understand not only the fundamentals of the Java language, but also its importance, uses, strengths and weaknesses Understand the basics of the Java language and how?it relates to OO programming and the Object Model Learn to use Java exception handling Understand and use classes, inheritance and polymorphism Understand and use collections, generics, autoboxing, and enumerations Become familiar with the concept of functional programming using Lambda Expressions Process large amounts of data using the Stream API introduced in Java 8 Discover the new Date/Time API Use the JDBC API for database access Work with annotations Take advantage of the Java tooling that is available with the programming environment being used in the class Java 8 Features: Lambda Expressions, Method and Constructor references, The Streams API, Collectors, The Optional class Geared for experienced developers, Basic Java Programming for Developers New to OO, this hands-on, workshop-style course will provide you with an immersive learning experience that will expand your skillset and open doors to new opportunities within the ever-growing technology landscape. Mastering Java and its powerful capabilities will provide you with the competitive edge you need to stand out in today's fast-paced development world. Working in a hands-on learning environment led by our expert coach, you?ll thoroughly explore the foundations of the Java platform, essential programming concepts, and advanced topics, ensuring you acquire a strong understanding of the language and its ecosystem. The object-oriented programming principles taught in this course promote code reusability and maintainability, enabling you to streamline development processes and reduce long-term costs. As you progress through the course, you will also gain familiarity with using an IDE, enhancing your development workflow and collaboration with other Java developers, enabling you to integrate seamlessly into new projects and teams. You?ll also gain practical experience in applying the concepts and techniques learned, solidifying your newly acquired skills and facilitating their direct application in real-world scenarios. You?ll exit this course empowered to create robust, scalable, and efficient Java-based applications that drive innovation and growth for your organization THE JAVA PLATFORM * The Java Platform * Lifecycle of a Java Program * Responsibilities of JVM * Documentation and Code Reuse USING THE JDK * Explain the JDK?s file structure * Use the command line compiler to compile a Java class * Use the command line Java interpreter to run a Java application class THE INTELLIJ PARADIGM * Introduce the IntelliJ IDE * The Basics of the IntelliJ interface * IntelliJ Projects and Modules * Creating and running Java applications WRITING A SIMPLE CLASS * Write a Java class that does not explicitly extend another class * Define instance variables for a Java class * Create object instances * Primitives vs Object References * Implement a main method to create an instance of the defined class ADDING METHODS TO THE CLASS * Write a class with accessor methods to read and write instance variables * Write a constructor to initialize an instance with data * Write a constructor that calls other constructors of the class to benefit from code reuse * Use the this keyword to distinguish local variables from instance variables OBJECT-ORIENTED PROGRAMMING * Real-World Objects * Classes and Objects * Object Behavior * Methods and Messages INHERITANCE, ABSTRACTION, AND POLYMORPHISM * Encapsulation * Inheritance * Method Overriding * Polymorphism ESSENTIAL JAVA PROGRAMMING * Essential Java Programming LANGUAGE STATEMENTS * Arithmetic operators * Operators to increment and decrement numbers * Comparison operators * Logical operators * Return type of comparison and logical operators * Use for loops * Switch Expressions * Switch Expressions and yield USING STRINGS AND TEXT BLOCKS * Create an instance of the String class * Test if two strings are equal * Get the length of a string Parse a string for its token components * Perform a case-insensitive equality test * Build up a string using StringBuffer * Contrast String, StringBuffer,and StringBuilder * Compact Strings * Text Blocks SPECIALIZING IN A SUBCLASS * Constructing a class that extends another class * Implementing equals and toString * Writing constructors that pass initialization data to parent constructor * Using instanceof to verify type of an object reference * Pattern matching for instanceof * Overriding subclass methods * Safely casting references to a more refined type FIELDS AND VARIABLES * Discuss Block Scoping Rules * Distinguish between instance variables and method variables within a method * Explain the difference between the terms field and variable * List the default values for instance variables * Final and Static fields and methods * Local Variable type inference USING ARRAYS * Declaring an array reference * Allocating an array * Initializing the entries in an array * Writing methods with a variable number of arguments RECORDS * Data Objects in Java * Introduce records as carrier of immutable data * Defining records JAVA PACKAGES AND VISIBILITY * Use the package keyword to define a class within a specific package * Discuss levels of accessibility/visibility * Using the import keyword to declare references to classes in a specific package * Using the standard type naming conventions * Visibility in the Java Modular System Correctly executing a Java application class * The Java modular system * Defining Modules INHERITANCE AND POLYMORPHISM * Write a subclass with a method that overrides a method in the superclass * Group objects by their common supertype * Utilize polymorphism * Cast a supertype reference to a valid subtype reference * Use the final keyword on methods and classes to prevent overriding INTERFACES AND ABSTRACT CLASSES * Define supertype contracts using abstract classes * Implement concrete classes based on abstract classes * Define supertype contracts using interfaces * Implement concrete classes based on interfaces * Explain advantage of interfaces over abstract classes * Explain advantage of abstract classes over interfaces * Static, default and private methods in interfaces SEALED CLASSES * Introduce Sealed classes * The sealed and permits modifiers * Sealed Interfaces Exception Handling INTRODUCTION TO EXCEPTION HANDLING * Introduce the Exception architecture * Defining a try/catch blocks Checked vs Unchecked exceptions EXCEPTIONS * Defining your own application exceptions * Automatic closure of resources * Suppressed exceptions * Handling multiple exceptions in one catch * Helpful Nullpointers * Enhanced try-with-resources Java Developer's Toolbox DEVELOPING APPLICATIONS * Introduce the wrapper classes * Explain Autoboxing and Unboxing * Converting String representations of primitive numbers into their primitive types * Defining Enumerations * Using static imports * Deprecating methods Advanced Java Programming INTRODUCTION TO GENERICS * Generics and Subtyping * Bounded Wildcards * Generic Methods * Legacy Calls To Generics * When Generics Should Be Used LAMBDA EXPRESSIONS AND FUNCTIONAL INTERFACE * Understanding the concept of functional programming * Writing lambda expressions * Understanding functional interfaces COLLECTIONS * Provide an overview of the Collection API * Review the different collection implementations (Set, List and Queue) * Explore how generics are used with collections * Examine iterators for working with collections USING COLLECTIONS * Collection Sorting * Comparators * Using the Right Collection * Lambda expressions in Collections * Bonus Topics: Time Permitting STREAMS * Understanding the problem with collections in Java * Thinking of program solutions in a declarative way * Use the Stream API to process collections of data * Understand the difference between intermediate and terminal stream operations * Filtering elements from a Stream * Finding element(s) within a Stream * Collecting the elements from a Stream into a List takeWhile and dropWhile intermediate operations COLLECTORS * Using different ways to collect the items from a Stream * Grouping elements within a stream * Gathering statistics about numeric property of elements in a stream

Basic Java Programming for Developers New to OO (TT2120)
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Oracle 12c SQL Fundamentals

By Nexus Human

Duration 5 Days 30 CPD hours This course is intended for The target audience for this textbook is all Oracle professionals, both business and systems professionals. Among the specific groups for whom this textbook will be helpful are: ? Business and non-IT professionals ? Application designers and database developers ? Business Intelligence (BI) analysts and consumers ? Database administrators ? Web server administrators Overview The first portion of this textbook considers the logical models upon which a relational database is based and the various configurations and environments in which you may work with the Oracle database. The next segment focuses on the actual SQL syntax for writing database queries. You will begin with the simplest of queries and then proceed onto moderately complex query scenarios. Finally, this textbook covers the DDL, DML and transaction control portions of the SQL language that allow one to create, maintain and manipulate application database objects and application data. This textbook takes a unique approach to SQL training in that it incorporates data modeling theory, relational database theory, graphical depictions of theoretical concepts and numerous examples of actual SQL syntax into one learning vehicle. RELATIONAL DATABASES & DATA MODELS * About Data Models * About the Relational Model * The Electronics Data Model * About the Relational DBMS SELECTION & SETUP OF THE DATABASE INTERFACE * Considering Available Tools * Selecting the Appropriate Tool * Oracle Net Database Connections * Oracle PAAS Database Connections * Setup SQL Developer * Setup SQL*Plus * Setup Jdeveloper USING THE DATABASE INTERFACE * About Bind & Substitution Variables * Using SQL Developer * Using SQL*Plus INTRODUCTION TO THE SQL LANGUAGE * About the SQL Language * Characteristics of SQL * Introducing SQL Using Select * SQL Rules THE SELECT STATEMENT * The Select Statement * Distinct/Unique Keyword * Using Alias Names RESTRICTING RESULTS WITH THE WHERE CLAUSE * About Logical Operators * Equality Operator * Boolean Operators * REGEXP_LIKE() * In Operator SORTING DATA WITH THE ORDER BY CLAUSE * About the Order by Clause * Multiple Column Sorts * Specify the Sort Sequence * About Null Values within Sorts * Using Column Aliases PSEUDO COLUMNS, FUNCTIONS & TOP-N QUERIES * Rowid Pseudo Column * ORA_ROWSCN PSEUDO Column * ROWNUM Pseudo Column * About the Built-In Functions * SYSDATE * User & UID * SESSIONTIMEZONE Function * Using the Dual Table * Row Limiting & Top-N Queries * FETCH First x Rows Only Clause * OFFSET x Rows Clause * FETCH?PERCENT Clause * The WITH TIES Option JOINING TABLES * About Joins * Inner Joins * Reflexive Join * Non-Key Join * Outer Join USING THE SET OPERATORS * About the Set Operators * SQL Set Operator Examples * UNION Example * INTERECT Example * MINUS Example * UNION All SUMMARY FUNCTIONS USING SUB-QUERIES * Finding Data with Sub-Queries * Standard Sub-Queries * Correlated Sub-Queries * The EXISTS Operator AGGREGATING DATA WITHIN GROUPS * About Summary Groups * Find Groups within the Tables * Select Data From the Base Tables * Select Groups from the Results USE DDL TO CREATE & MANAGE TABLES * Create Table Statement * Column Data Types * Not Null * Default * Describe * Alter Table Statement * Drop Table Statement * Table DDL Using SQL Developer * Alter User Statement * Alter Session Statement * NLS_Language * NLS_Date USE DML TO MANIPULATE DATA * The Insert Statement * The Delete Statement * The Update Statement * About Transactions * Transaction Rollback * Transaction Commit * Transaction Savepoint * The Set Transaction Statement * Set Transaction Read Only Statement Rules UNDERSTANDING THE DATA MODELS * The Company Data Model * The Electronics Data Model ABOUT THE SQL-99 STANDARD * SQL-92 & SQL-99 * Cross Joins * Natural Joins * Inner Joins * Implicit Inner Join * Outer Joins * Anti Joins * Named Sub-Queries * ENHANCING GROUPS WITH ROLLUP & CUBE * Using Rollup * The Grouping() Function * Using Cube SQL FUNCTIONS: CHARACTER HANDLING * What are the SQL Functions? * String Formatting Functions * UPPER(), LOWER() Example * INITCAP() Example * Character Codes Functions * CHR((), ASCII() Examples * PAD & TRIM Functions * RPAD() Example * RTRIM() Example * TRIM() Example * String Manipulation Functions * DECODE () Example * SUBSTR() Example * INSTR() Example * TRANSLATE() Example * REPLACE() Example * String Comparison Functions * LEAST() Example * Phonetic Search Function * SOUNDEX() Example SQL FUNCTIONS: NUMERIC HANDLING * About the Numeric Data Functions * GREATEST() Example * ABS() Example * ROUND() Example * TRUNC() Example * SIGN() Example * TO_NUMBER() Example & Data ype Conversions * NULL VALUES FUNCTIONS * NVL() & NVL2() Function * NVL() Example (Character) * NVL() Example (Numeric Loss of Data) * NVL() Example (Numeric Output) * NVL2() Example * COALESCE() Function * NULLIF() Function SQL FUNCTIONS: DATE HANDLING * Date Formatting Functions * TO_CHAR() & TO_DATE() Format Patterns * TO_CHAR() Examples * TO_DATE() Examples * EXTRACT() Example * Date Arithmetic Functions * MONTHS_BETWEEN() Example * ADD_MONTHS() Example * LAST_DAY() Example * NEXT_DAY() Example * TRUNC(), ROUND() Dates Example * NEW_ TIME() Example * About V$TIMEZONE_NAMES * CAST() FUNCTION & TIME ZONES DATABASE OBJECTS: ABOUT DATABASE OBJECTS * About Database Objects * About Schemas * Making Object References DATABASE OBJECTS: RELATIONAL VIEWS * About Relations Views * The Create View Statement * Why Use Views? * Accessing Views with DML * Maintaining View Definitions * Alter View * Drop View * DDL Using SQL Developer * DATABASE OBJECTS: INDEXES * About Indexes * Create & Drop Index Statements * Indexes & Performance * Data Dictionary Storage DATABASE OBJECTS: CREATING OTHER OBJECTS * About Sequences * Referencing NEXTVAL * Referencing CURRVAL * Within the DEFAULT Clause * Alter Sequence & Drop Sequence * ALTER SEQUENCE * DROP SEQUENCE * About Identity Columns * CREATE TABLE?GENERATED AS IDENTITY * ALTER TABLE?GENERATED AS IDENTITY * Start With Limit Value * ALTER TABLE...DROP IDENTITY * About Synonyms * CREATE & DROP SYNONYM Statements * CREATE SYNONYM * DROP SYNONYM * Public Vs Private Synonyms * CREATE SCHEMA AUTHORIZATION DATABASE OBJECTS: OBJECT MANAGEMENT USING DDL * The RENAME Statement * TABLESPACE Placement * CREATE TABLE?TABLESPACE * The Comment Statement * The TRUNCATE TABLE Statement DATABASE OBJECTS: SECURITY * About Object Security * Grant Object Privileges * Revoke Object Privileges * Object Privileges & SQL Developer DATA INTEGRITY USING CONSTRAINTS * About Constraints * NOT NULL Constraint * NOT NULL Example * CHECK Constraint * UNIQUE Constraint * PRIMARY KEY Constraint * REFERENCES Constraint * ON DELETE CASCADE Example * ON DELETE SET NULL Example * Constraints on Existing Tables * Constraints & SQL Developer MANAGING CONSTRAINT DEFINITIONS * RENAMING & DROPPING Constraints * ENABLING & DISABLING Constraints * DEFERRED Constraint Enforcement * SET CONSTRAINTS * Handling Constraint Exceptions * Constraints with Views * DATA Dictionary Storage THE DATA DICTIONARY STRUCTURE * More About the Data Dictionary * OBJECT-SPECIFIC Dictionary Views * USER_UPDATABLE_COLUMNS * The Dictionary Structure * METADATA & SQL Developer ADDITIONAL COURSE DETAILS: Nexus Humans Oracle 12c SQL Fundamentals training program is a workshop that presents an invigorating mix of sessions, lessons, and masterclasses meticulously crafted to propel your learning expedition forward. This immersive bootcamp-style experience boasts interactive lectures, hands-on labs, and collaborative hackathons, all strategically designed to fortify fundamental concepts. Guided by seasoned coaches, each session offers priceless insights and practical skills crucial for honing your expertise. Whether you're stepping into the realm of professional skills or a seasoned professional, this comprehensive course ensures you're equipped with the knowledge and prowess necessary for success. While we feel this is the best course for the Oracle 12c SQL Fundamentals course and one of our Top 10 we encourage you to read the course outline to make sure it is the right content for you. Additionally, private sessions, closed classes or dedicated events are available both live online and at our training centres in Dublin and London, as well as at your offices anywhere in the UK, Ireland or across EMEA.

Oracle 12c SQL Fundamentals
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WordPress Academy: Learn WordPress Step by Step

By Packt

This course will help you to master all the skills you require to become a successful web designer using WordPress.

WordPress Academy: Learn WordPress Step by Step
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Certificate in Data Science and Visualisation with Machine Learning at QLS Level 3

5.0(2)

By Studyhub UK

Are you ready to be at the helm, steering the ship into a realm where data is the new gold? In the infinite world of data, where information spirals at breakneck speed, lies a universe rich in potential and discovery: the domain of Data Science and Visualisation. This 'Certificate in Data Science and Visualisation with Machine Learning at QLS Level 3' course unravels the wonders of extracting meaningful insights using Python, the worldwide leading language of data experts. Harnessing the strength of Python, you'll delve deep into data analysis, experience the finesse of visualisation tools, and master the art of Machine Learning. The need to understand, interpret, and act on this data has become paramount, with vast amounts of data increasing the digital sphere. Envision a canvas where raw numbers are transformed into visually compelling stories, and machine learning models foretell future trends. This course provides a meticulous pathway for anyone eager to learn the data representation paradigms backed by Python's robust libraries. Dive into a curriculum rich with analytical explorations, visual artistry, and machine learning predictions. LEARNING OUTCOMES * Understanding the foundations and functionalities of Python, focusing on its application in data science. * Applying various Python libraries like NumPy and Pandas for effective data analysis. * Demonstrating proficiency in creating detailed visual narratives using tools like matplotlib, Seaborn, and Plotly. * Implementing Machine Learning algorithms in Python using scikit-learn, ranging from regression models to clustering techniques. * Designing and executing a holistic data analysis and visualisation project, encapsulating all learned techniques. * Exploring advanced topics, encompassing recommender systems and natural language processing with Python. * Attaining the confidence to independently analyse complex data sets and translate them into actionable insights.   Video Player https://studyhub.org.uk/wp-content/uploads/2021/03/Data-Science-and-Visualisation-with-Machine-Learning.mp4 00:00 00:00 00:00 Use Up/Down Arrow keys to increase or decrease volume. WHY BUY THIS CERTIFICATE IN DATA SCIENCE AND VISUALISATION WITH MACHINE LEARNING AT QLS LEVEL 3? 1. Unlimited access to the course for a lifetime. 2. Opportunity to earn a certificate accredited by the CPD Quality Standards after completing this course. 3. Structured lesson planning in line with industry standards. 4. Immerse yourself in innovative and captivating course materials and activities. 5. Assessments are designed to evaluate advanced cognitive abilities and skill proficiency. 6. Flexibility to complete the Certificate in Data Science and Visualisation with Machine Learning at QLS Level 3 Course at your own pace, on your own schedule. 7. Receive full tutor support throughout the week, from Monday to Friday, to enhance your learning experience. WHO IS THIS CERTIFICATE IN DATA SCIENCE AND VISUALISATION WITH MACHINE LEARNING AT QLS LEVEL 3 COURSE FOR? * Aspiring data scientists aiming to harness the power of Python. * Researchers keen to enrich their analytical and visualisation skills. * Analysts aiming to add machine learning to their toolkit. * Developers striving to integrate data analytics into applications. * Business professionals desiring data-driven decision-making capabilities. CAREER PATH * Data Scientist: £55,000 - £85,000 Per Annum * Machine Learning Engineer: £60,000 - £90,000 Per Annum * Data Analyst: £30,000 - £50,000 Per Annum * Data Visualisation Specialist: £45,000 - £70,000 Per Annum * Natural Language Processing Specialist: £65,000 - £95,000 Per Annum * Business Intelligence Developer: £40,000 - £65,000 Per Annum PREREQUISITES This Certificate in Data Science and Visualisation with Machine Learning at QLS Level 3 does not require you to have any prior qualifications or experience. You can just enrol and start learning. This Certificate in Data Science and Visualisation with Machine Learning at QLS Level 3 was made by professionals and it is compatible with all PC's, Mac's, tablets and smartphones. You will be able to access the course from anywhere at any time as long as you have a good enough internet connection. CERTIFICATION After studying the course materials, there will be a written assignment test which you can take at the end of the course. After successfully passing the test you will be able to claim the pdf certificate for £4.99 Original Hard Copy certificates need to be ordered at an additional cost of £8. Endorsed Certificate of Achievement from the Quality Licence Scheme Learners will be able to achieve an endorsed certificate after completing the course as proof of their achievement. You can order the endorsed certificate for only £85 to be delivered to your home by post. For international students, there is an additional postage charge of £10. Endorsement The Quality Licence Scheme (QLS) has endorsed this course for its high-quality, non-regulated provision and training programmes. The QLS is a UK-based organisation that sets standards for non-regulated training and learning. This endorsement means that the course has been reviewed and approved by the QLS and meets the highest quality standards. Please Note: Studyhub is a Compliance Central approved resale partner for Quality Licence Scheme Endorsed courses. COURSE CURRICULUM Welcome, Course Introduction & overview, and Environment set-up Welcome & Course Overview 00:07:00 Set-up the Environment for the Course (lecture 1) 00:09:00 Set-up the Environment for the Course (lecture 2) 00:25:00 Two other options to setup environment 00:04:00 Python Essentials Python data types Part 1 00:21:00 Python Data Types Part 2 00:15:00 Loops, List Comprehension, Functions, Lambda Expression, Map and Filter (Part 1) 00:16:00 Loops, List Comprehension, Functions, Lambda Expression, Map and Filter (Part 2) 00:20:00 Python Essentials Exercises Overview 00:02:00 Python Essentials Exercises Solutions 00:22:00 Python for Data Analysis using NumPy What is Numpy? A brief introduction and installation instructions. 00:03:00 NumPy Essentials - NumPy arrays, built-in methods, array methods and attributes. 00:28:00 NumPy Essentials - Indexing, slicing, broadcasting & boolean masking 00:26:00 NumPy Essentials - Arithmetic Operations & Universal Functions 00:07:00 NumPy Essentials Exercises Overview 00:02:00 NumPy Essentials Exercises Solutions 00:25:00 Python for Data Analysis using Pandas What is pandas? A brief introduction and installation instructions. 00:02:00 Pandas Introduction 00:02:00 Pandas Essentials - Pandas Data Structures - Series 00:20:00 Pandas Essentials - Pandas Data Structures - DataFrame 00:30:00 Pandas Essentials - Handling Missing Data 00:12:00 Pandas Essentials - Data Wrangling - Combining, merging, joining 00:20:00 Pandas Essentials - Groupby 00:10:00 Pandas Essentials - Useful Methods and Operations 00:26:00 Pandas Essentials - Project 1 (Overview) Customer Purchases Data 00:08:00 Pandas Essentials - Project 1 (Solutions) Customer Purchases Data 00:31:00 Pandas Essentials - Project 2 (Overview) Chicago Payroll Data 00:04:00 Pandas Essentials - Project 2 (Solutions Part 1) Chicago Payroll Data 00:18:00 Python for Data Visualization using matplotlib Matplotlib Essentials (Part 1) - Basic Plotting & Object Oriented Approach 00:13:00 Matplotlib Essentials (Part 2) - Basic Plotting & Object Oriented Approach 00:22:00 Matplotlib Essentials (Part 3) - Basic Plotting & Object Oriented Approach 00:22:00 Matplotlib Essentials - Exercises Overview 00:06:00 Matplotlib Essentials - Exercises Solutions 00:21:00 Python for Data Visualization using Seaborn Seaborn - Introduction & Installation 00:04:00 Seaborn - Distribution Plots 00:25:00 Seaborn - Categorical Plots (Part 1) 00:21:00 Seaborn - Categorical Plots (Part 2) 00:16:00 Seborn-Axis Grids 00:25:00 Seaborn - Matrix Plots 00:13:00 Seaborn - Regression Plots 00:11:00 Seaborn - Controlling Figure Aesthetics 00:10:00 Seaborn - Exercises Overview 00:04:00 Seaborn - Exercise Solutions 00:19:00 Python for Data Visualization using pandas Pandas Built-in Data Visualization 00:34:00 Pandas Data Visualization Exercises Overview 00:03:00 Panda Data Visualization Exercises Solutions 00:13:00 Python for interactive & geographical plotting using Plotly and Cufflinks Plotly & Cufflinks - Interactive & Geographical Plotting (Part 1) 00:19:00 Plotly & Cufflinks - Interactive & Geographical Plotting (Part 2) 00:14:00 Plotly & Cufflinks - Interactive & Geographical Plotting Exercises (Overview) 00:11:00 Plotly & Cufflinks - Interactive & Geographical Plotting Exercises (Solutions) 00:37:00 Capstone Project - Python for Data Analysis & Visualization Project 1 - Oil vs Banks Stock Price during recession (Overview) 00:15:00 Project 1 - Oil vs Banks Stock Price during recession (Solutions Part 1) 00:18:00 Project 1 - Oil vs Banks Stock Price during recession (Solutions Part 2) 00:18:00 Project 1 - Oil vs Banks Stock Price during recession (Solutions Part 3) 00:17:00 Project 2 (Optional) - Emergency Calls from Montgomery County, PA (Overview) 00:03:00 Python for Machine Learning (ML) - scikit-learn - Linear Regression Model Introduction to ML - What, Why and Types.. 00:15:00 Theory Lecture on Linear Regression Model, No Free Lunch, Bias Variance Tradeoff 00:15:00 scikit-learn - Linear Regression Model - Hands-on (Part 1) 00:17:00 scikit-learn - Linear Regression Model Hands-on (Part 2) 00:19:00 Good to know! How to save and load your trained Machine Learning Model! 00:01:00 scikit-learn - Linear Regression Model (Insurance Data Project Overview) 00:08:00 scikit-learn - Linear Regression Model (Insurance Data Project Solutions) 00:30:00 Python for Machine Learning - scikit-learn - Logistic Regression Model Theory: Logistic Regression, conf. mat., TP, TN, Accuracy, Specificityetc. 00:10:00 scikit-learn - Logistic Regression Model - Hands-on (Part 1) 00:17:00 scikit-learn - Logistic Regression Model - Hands-on (Part 2) 00:20:00 scikit-learn - Logistic Regression Model - Hands-on (Part 3) 00:11:00 scikit-learn - Logistic Regression Model - Hands-on (Project Overview) 00:05:00 scikit-learn - Logistic Regression Model - Hands-on (Project Solutions) 00:15:00 Python for Machine Learning - scikit-learn - K Nearest Neighbors Theory: K Nearest Neighbors, Curse of dimensionality . 00:08:00 scikit-learn - K Nearest Neighbors - Hands-on 00:25:00 scikt-learn - K Nearest Neighbors (Project Overview) 00:04:00 scikit-learn - K Nearest Neighbors (Project Solutions) 00:14:00 Python for Machine Learning - scikit-learn - Decision Tree and Random Forests Theory: D-Tree & Random Forests, splitting, Entropy, IG, Bootstrap, Bagging. 00:18:00 scikit-learn - Decision Tree and Random Forests - Hands-on (Part 1) 00:19:00 scikit-learn - Decision Tree and Random Forests (Project Overview) 00:05:00 scikit-learn - Decision Tree and Random Forests (Project Solutions) 00:15:00 Python for Machine Learning - scikit-learn -Support Vector Machines (SVMs) Support Vector Machines (SVMs) - (Theory Lecture) 00:07:00 scikit-learn - Support Vector Machines - Hands-on (SVMs) 00:30:00 scikit-learn - Support Vector Machines (Project 1 Overview) 00:07:00 scikit-learn - Support Vector Machines (Project 1 Solutions) 00:20:00 scikit-learn - Support Vector Machines (Optional Project 2 - Overview) 00:02:00 Python for Machine Learning - scikit-learn - K Means Clustering Theory: K Means Clustering, Elbow method .. 00:11:00 scikit-learn - K Means Clustering - Hands-on 00:23:00 scikit-learn - K Means Clustering (Project Overview) 00:07:00 scikit-learn - K Means Clustering (Project Solutions) 00:22:00 Python for Machine Learning - scikit-learn - Principal Component Analysis (PCA) Theory: Principal Component Analysis (PCA) 00:09:00 scikit-learn - Principal Component Analysis (PCA) - Hands-on 00:22:00 scikit-learn - Principal Component Analysis (PCA) - (Project Overview) 00:02:00 scikit-learn - Principal Component Analysis (PCA) - (Project Solutions) 00:17:00 Recommender Systems with Python - (Additional Topic) Theory: Recommender Systems their Types and Importance 00:06:00 Python for Recommender Systems - Hands-on (Part 1) 00:18:00 Python for Recommender Systems - - Hands-on (Part 2) 00:19:00 Python for Natural Language Processing (NLP) - NLTK - (Additional Topic) Natural Language Processing (NLP) - (Theory Lecture) 00:13:00 NLTK - NLP-Challenges, Data Sources, Data Processing .. 00:13:00 NLTK - Feature Engineering and Text Preprocessing in Natural Language Processing 00:19:00 NLTK - NLP - Tokenization, Text Normalization, Vectorization, BoW. 00:19:00 NLTK - BoW, TF-IDF, Machine Learning, Training & Evaluation, Naive Bayes 00:13:00 NLTK - NLP - Pipeline feature to assemble several steps for cross-validation 00:09:00 Resources Resources - Data Science and Visualisation with Machine Learning 00:00:00 Order your QLS Endorsed Certificate Order your QLS Endorsed Certificate 00:00:00

Certificate in Data Science and Visualisation with Machine Learning at QLS Level 3
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High School Math (Pure Mathematics 1)

5.0(2)

By Studyhub UK

Dive into the enthralling world of numbers and equations with 'High School Math (Pure Mathematics 1),' a course designed to unravel the mysteries of mathematics. Your journey begins with an Introduction that lays the foundation, not just in terms of concepts but igniting a passion for the beauty of math. As you progress, Functions become more than just equations; they turn into a language that describes the universe. Imagine the elegance of Quadratic Equations unfolding before your eyes, revealing patterns and solutions that were once hidden. Embark on an adventure through Co-ordinate Geometry, where every point and line tells a story of space and dimensions. Sequence and Series will no longer be just about numbers; they will be about the rhythm and flow of mathematical logic. The course takes a deeper dive with the Binomial Theorem, Differentiation, Tangents and Normals, each module building on the last, turning complexity into simplicity. Stationary Points & Curve Sketching, and the Second Derivative Test open new vistas in understanding the nature of graphs. As you master Simultaneous Linear Equations, you're not just solving problems; you're unlocking a new perspective on mathematical relationships. The Essential Revision at the end is your bridge to excellence, consolidating your knowledge and skills. Learning Outcomes * Develop a foundational understanding of key mathematical concepts and functions. * Master the intricacies of quadratic equations and co-ordinate geometry. * Explore and apply the principles of sequences, series, and the binomial theorem. * Gain proficiency in differentiation and its practical applications in tangents and normals. * Understand and implement techniques in curve sketching, stationary points, and optimisation. WHY CHOOSE THIS HIGH SCHOOL MATH (PURE MATHEMATICS 1) COURSE? 1. Unlimited access to the course for a lifetime. 2. Opportunity to earn a certificate accredited by the CPD Quality Standards and CIQ after completing this course. 3. Structured lesson planning in line with industry standards. 4. Immerse yourself in innovative and captivating course materials and activities. 5. Assessments designed to evaluate advanced cognitive abilities and skill proficiency. 6. Flexibility to complete the Course at your own pace, on your own schedule. 7. Receive full tutor support throughout the week, from Monday to Friday, to enhance your learning experience. 8. Unlock career resources for CV improvement, interview readiness, and job success. WHO IS THIS HIGH SCHOOL MATH (PURE MATHEMATICS 1) COURSE FOR? * High school students seeking to excel in mathematics. * Individuals preparing for college-level math courses. * Math enthusiasts looking to deepen their understanding of pure mathematics. * Students requiring a comprehensive revision of key mathematical concepts. * Anyone aspiring to pursue a career involving advanced mathematics. CAREER PATH * Mathematician: £30,000 - £60,000 * Data Analyst: £25,000 - £50,000 * Actuarial Analyst: £28,000 - £55,000 * Research Scientist (Mathematics): £32,000 - £60,000 * Engineering Consultant: £27,000 - £55,000 * Academic Tutor (Mathematics): £24,000 - £40,000 PREREQUISITES This High School Math (Pure Mathematics 1) does not require you to have any prior qualifications or experience. You can just enrol and start learning.This High School Math (Pure Mathematics 1) was made by professionals and it is compatible with all PC's, Mac's, tablets and smartphones. You will be able to access the course from anywhere at any time as long as you have a good enough internet connection. CERTIFICATION After studying the course materials, there will be a written assignment test which you can take at the end of the course. After successfully passing the test you will be able to claim the pdf certificate for £4.99 Original Hard Copy certificates need to be ordered at an additional cost of £8. COURSE CURRICULUM Introduction Introduction 00:03:00 Functions What is Function? 00:07:00 Vertical Line Test 00:04:00 Value of a Function Graphically 00:08:00 Domain Range of a function Algebraically 00:13:00 Domain Range of a function Graphically 00:06:00 Even & Odd Functions 00:07:00 One to one Function 00:05:00 Composite Functions 00:09:00 How to draw Rational Functions- 1 00:04:00 How to draw Rational Functions- 2 00:10:00 Inverse of a function Algebraically 00:05:00 Inverse of a function Graphically 00:09:00 Practice Problems 00:15:00 Practice Problems 00:11:00 Resources Downloads 00:40:00 Quadratic Equations Introduction to Quadratic Equations 00:04:00 Solving Quadratic Equations by Factorization method 00:10:00 Writing in completed square form 00:08:00 Solving by completed square method 00:08:00 Sketching of Quadratic Graphs 00:11:00 Quadratic graphs using Transformations 00:06:00 Quadratic inequalities 00:11:00 Deriving Quadratic formula 00:05:00 Solving problems using Quadratic Formula 00:06:00 Equations reducible to Quadratic 00:07:00 Nature of Roots of Quadratic Equations 00:04:00 Nature of roots continues 00:12:00 Quadratic Equations (Resources) 00:50:00 Co-ordinate Geometry Distance formula 00:15:00 Mid point formula 00:05:00 Gradient of a line 00:10:00 Graphing using gradient and y intercept 00:02:00 Some standard lines 00:04:00 Slope intercept form y = m x +c 00:05:00 Point slope form and two point form 00:10:00 Intersection of line and parabola 00:09:00 Practice Problems from past papers (part 3) 00:12:00 Sequence and series Sequence and series ( video) 00:08:00 Arithmetic Sequence 00:10:00 General term of an A.P. 00:07:00 Finding given term is which term? 00:05:00 Writing sequence when two terms are known 00:08:00 Condition for three terms to be in A.P. 00:05:00 Sum to n terms of A.P. 00:06:00 Practice Problems 1 (A.P.) 00:08:00 Practice problems 3 (A.P.) 00:07:00 Practice problems 4 (A.P.) 00:10:00 Geometric Progressions 00:11:00 Sum to n terms in G.P. 00:14:00 Sum to infinite Terms in G.P. 00:13:00 Practice Problems 1 (GP) 00:13:00 Practice Problems 2 (GP) 00:06:00 Practice Problems based on AP and GP both 00:15:00 Sequence and series Text 1 00:40:00 Sequence and series Text 2 00:55:00 Binomial Theorem What is Factorial? 00:06:00 n-choose -r problems 00:06:00 Properties of n - choose -r 00:05:00 Expanding using Binomial Theorem 00:11:00 Finding the indicated term in the Binomial expansion 00:10:00 Finding the indicated term from end 00:09:00 Finding the coefficient for given exponent (index) of the variable 00:08:00 Finding the term independent of variable 00:05:00 Expanding in increasing and decreasing powers of x 00:09:00 Practice problems 1 00:12:00 Practice Problems 2 00:09:00 Practice problems 3 00:10:00 Past papers problems 1 00:15:00 Past Paper problems 2 00:13:00 Past Paper problems 3 00:09:00 Resources in this section 00:50:00 Differentiation What is Derivative? 00:07:00 Derivation of formula for Derivative 00:06:00 Differentiation by definition or First Principle 00:06:00 Power Rule 00:20:00 Practice Problems on Power Rule 1 00:07:00 Practice Problems on Power Rule 2 00:07:00 Practice Problems on Power Rule 3 00:05:00 Practice Problems on Power Rule 4 00:11:00 Practice Problems on Power Rule 5 00:07:00 Tangents and Normals Tangents and Normals- Basics 00:12:00 Practice- Tangents and Normals Part 1 00:16:00 Practice- Tangents and Normals Part 2 00:13:00 Practice- Tangents and Normals Part 3 00:11:00 Practice- Tangents and Normals Part 4 00:14:00 Stationary Points & Curve Sketching Stationary Points - Basics 00:13:00 Practice- Increasing Decreasing & Maxima Minima part 1 00:11:00 Practice- Increasing Decreasing & Maxima Minima part 2 00:12:00 Practice- Increasing Decreasing & Maxima Minima part 3 00:10:00 Second Derivative Test (Maximum & Minimum Points) Concavity-Basics 00:02:00 Concavity & Second Derivative 00:08:00 Second Derivative Test 00:09:00 Practice Problems on second derivative 00:04:00 Practice Problem of Maxima Minima using second derivative test Part 1 00:17:00 Practice Problem of Maxima Minima using second derivative test Part 2 00:10:00 Practice Problem of Maxima Minima using second derivative test Part 3 00:07:00 Practice Problem of Maxima Minima using second derivative test Part 4 00:07:00 Applications of Maxima and Minima Part 1 00:09:00 Applications of Maxima and Minima Part 2 00:07:00 Applications of Maxima and Minima Part 3 00:10:00 Applications of Maxima and Minima Part 4 00:09:00 Applications of Maxima and Minima Part 5 00:10:00 Applications of Maxima and Minima Part 6 00:08:00 Past Paper Problems on applications of maxima and minima Part 1 00:09:00 Past Paper Problems on applications of maxima and minima Part 2 00:09:00 Past Paper Problems on applications of maxima and minima Part 3 00:08:00 Past Paper Problems on applications of maxima and minima Part 4 00:07:00 Chain Rule 00:12:00 Rate of change part 1 00:05:00 Rate of change part 2 00:10:00 Rate of change part 3 00:07:00 Past Paper Problems using chain rule -1 00:06:00 Past Paper Problems using chain rule - 2 00:07:00 Past Paper Problems using chain rule 3 00:07:00 Past Paper Problems using chain rule -4 00:04:00 Simultaneous Linear equations Graphical Method of solving pair of linear equations 00:10:00 Video lecture on Graphical method 00:05:00 Method of elimination by substitution 00:10:00 Video lecture on substitution method 00:06:00 Method of elimination by equating the coefficients 00:10:00 Video lecture on equating coefficients method 00:09:00 Practice Problems on Linear equation 00:20:00 Essential Revision How to take up this course? 00:10:00 Background of Algebra 00:10:00 Language of Alg ebra 00:10:00 Finding Values of algebraic expressions 00:14:00 Fractional Indices 00:10:00 Higher Indices 00:07:00 Rules of Brackets 00:04:00 Simplification by removing brackets (BODMAS) 00:11:00 Simplifications of Algebraic Fractions 00:07:00 Solving complex Linear Equations in one variable 00:10:00 Factorization by taking out common factor 00:10:00 Factorization by grouping the terms 00:09:00 Factorize using identity a ² - b ² 00:07:00 Factorization by middle term split 00:12:00

High School Math (Pure Mathematics 1)
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R Ultimate 2023 - R for Data Science and Machine Learning

By Packt

Get involved in a learning adventure, mastering R from foundational basics to advanced techniques. This course is a gateway to the realm of data science. Explore statistical machine learning models and intricacies of deep learning and create interactive Shiny apps. Unleash the power of R and elevate your proficiency in data-driven decision-making.

R Ultimate 2023 - R for Data Science and Machine Learning
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Modern JavaScript from The Beginning [Second Edition]

By Packt

This second-edition JavaScript course covers fundamental concepts, including variables, data types, functions, and control flow, as well as advanced topics such as object-oriented programming, modules, and testing. With practical projects and clear explanations, learners can gain a solid understanding of the language and develop their skills.

Modern JavaScript from The Beginning [Second Edition]
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PHP Crash Course 2021

4.7(160)

By Janets

Register on the PHP Crash Course 2021 today and build the experience, skills and knowledge you need to enhance your professional development and work towards your dream job. Study this course through online learning and take the first steps towards a long-term career. The course consists of a number of easy to digest, in-depth modules, designed to provide you with a detailed, expert level of knowledge. Learn through a mixture of instructional video lessons and online study materials. Receive online tutor support as you study the course, to ensure you are supported every step of the way. Get an e-certificate as proof of your course completion. The PHP Crash Course 2021 is incredibly great value and allows you to study at your own pace. Access the course modules from any internet-enabled device, including computers, tablet, and smartphones. The course is designed to increase your employability and equip you with everything you need to be a success. Enrol on the now and start learning instantly! WHAT YOU GET WITH THE PHP CRASH COURSE 2021  * Receive a e-certificate upon successful completion of the course * Get taught by experienced, professional instructors * Study at a time and pace that suits your learning style * Get instant feedback on assessments  * 24/7 help and advice via email or live chat * Get full tutor support on weekdays (Monday to Friday) COURSE DESIGN The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace. You are taught through a combination of * Video lessons * Online study materials CERTIFICATION Upon successful completion of the course, you will be able to obtain your course completion e-certificate free of cost. Print copy by post is also available at an additional cost of £9.99 and PDF Certificate at £4.99. WHO IS THIS COURSE FOR: The course is ideal for those who already work in this sector or are an aspiring professional. This course is designed to enhance your expertise and boost your CV. Learn key skills and gain a professional qualification to prove your newly-acquired knowledge. REQUIREMENTS: The online training is open to all students and has no formal entry requirements. To study the PHP Crash Course 2021, all your need is a passion for learning, a good understanding of English, numeracy, and IT skills. You must also be over the age of 16. COURSE CONTENT Unit 01: Introduction Introduction 00:07:00 Unit 02: Installation Installing Xampp 00:10:00 Installing Sublime 00:03:00 Unit 03: Basic Syntax and First Steps Basic Syntax 00:12:00 Echo 00:04:00 Print and Differences between Echo and Print 00:08:00 Variables 00:07:00 Constants 00:06:00 Comments 00:05:00 Single vs Double Quotes 00:04:00 Unit 04: Data Types Integers 00:05:00 Floats 00:01:00 Booleans 00:02:00 Strings 00:03:00 Nulls 00:02:00 Unit 05: Operators Arithmetical Operators 00:05:00 Assignment Operators 00:06:00 Comparison Operators 00:06:00 Increment and Decrement Operators 00:04:00 Unit 06: Statements If Elseif Else 00:09:00 Switch 00:06:00 Unit 07: Loops While 00:09:00 For 00:06:00 Unit 08: Arrays Arrays and Indexed Arrays 00:06:00 Associative Arrays 00:06:00 Multidimensional Arrays 00:08:00 Unit 09: Functions Functions 00:07:00 Functions with Arguments 00:06:00 Unit 10: Super Globals Intro to Super Globals 00:04:00 Post 00:11:00 Get 00:14:00 Sessions pt. 1 00:09:00 Sessions pt. 2 00:08:00 Unit 11: Date and Time Date 00:04:00 Time 00:09:00 FREQUENTLY ASKED QUESTIONS Are there any prerequisites for taking the course? There are no specific prerequisites for this course, nor are there any formal entry requirements. All you need is an internet connection, a good understanding of English and a passion for learning for this course. Can I access the course at any time, or is there a set schedule? You have the flexibility to access the course at any time that suits your schedule. Our courses are self-paced, allowing you to study at your own pace and convenience. How long will I have access to the course? For this course, you will have access to the course materials for 1 year only. This means you can review the content as often as you like within the year, even after you've completed the course. However, if you buy Lifetime Access for the course, you will be able to access the course for a lifetime. Is there a certificate of completion provided after completing the course? Yes, upon successfully completing the course, you will receive a certificate of completion. This certificate can be a valuable addition to your professional portfolio and can be shared on your various social networks. Can I switch courses or get a refund if I'm not satisfied with the course? We want you to have a positive learning experience. If you're not satisfied with the course, you can request a course transfer or refund within 14 days of the initial purchase. How do I track my progress in the course? Our platform provides tracking tools and progress indicators for each course. You can monitor your progress, completed lessons, and assessments through your learner dashboard for the course. What if I have technical issues or difficulties with the course? If you encounter technical issues or content-related difficulties with the course, our support team is available to assist you. You can reach out to them for prompt resolution.

PHP Crash Course 2021
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Best Techniques to Speed up your Math

By iStudy UK

DESCRIPTION First of all how long will it take you to multiply 10005 and 10008? Even if you are using calculator, pressing the keys will take you a few seconds although you might be very quick with the calculator. But with Vedic Math you can do this within 2 seconds orally. 10005 × 10008 = 100130040 You won't believe I can write the answer of this problem as soon as I have a first look at it. Wondering How?  So that's the beauty of Vedic Math. It's not because I know Math and I'm very fast with it, everybody can do this. It's simple Vedic Math. In fact you can do bigger numbers also orally like the below example 1000004 × 1000005=1000009000020 If you try calculating the above problem on your calculator it will show you 1.000009e12, we know that it's not the full answer. WHAT YOU'LL LEARN * You will be able to perform calculations many many times faster without the help of calculators. * Most of the Calculations are happening in your memory so you will be able to perform Math operations without the help of pen and paper. * These tricks, improve your visual skills of doing Math power and activate your left and right brain. * You will be able to develop more concentration abilities that decreases the chance of errors in calculations. * These Math tricks are amazing and learning is full of fun and just by watching video lectures three or four times,these tricks will become part of your calculations. * These mental Math tricks eradicates fear and phobia of Math, brings out hidden potential in you and improves overall academic performance. REQUIREMENTS * Knowledge of mathematics up to fifth grade * Knowledge of the Times Tables up to 9 Introduction Introduction 00:02:00 How to take up this course 00:02:00 Addition by Dropping Ten's and Grouping Methods Fastest method to add single digit numbers 00:07:00 Fastest method to add two digit numbers 00:04:00 Fastest method to add any digit numbers 00:07:00 Addition by grouping to ten's method single digit numbers 00:04:00 Addition by grouping to ten's method two digit numbers 00:06:00 Addition by grouping to ten's method three digit numbers 00:03:00 Addition (Using world's Fastest Technique) Left to right addition Part 1 00:12:00 Left to right addition Part 2 00:05:00 Left to right addition Part 3 00:13:00 Downloadable resources - 1 00:30:00 Subtraction (Using world's Fastest Technique) Left to Right Subtraction Part 1 00:09:00 Left to Right Subtraction Part 2 00:10:00 Left to Right Subtraction Part 3 00:10:00 Left to Right Subtraction Using Nikhilam Sutra 00:09:00 Multiplication Tricks by 11, 22, 33 Multiplying any digit number by 11,22,33 etc 00:11:00 Remainder Trick by 9 Finding remainder when a number of any digits is divided by 9 00:04:00 Multiplication Tricks by 9, 99, 999, 9999 Multiplying any digit number by series of 9; 99 ; 999 ; 99999 etc 00:08:00 Multiplying any digit number by series of 9; 99 ; 999 ; 99999 Part 2 00:07:00 Multiplying any digit number by series of 9; 99 ; 999 ; 99999 Part 3 00:06:00 Multiplication Tricks for Numbers near to base Product of two numbers below the base number 100; 1000 etc 00:08:00 Multiplication of Numbers above the base 1000; 10000; 100000 etc 00:08:00 Multiplication of numbers one above the base and second less than the base 00:06:00 Multiplication short Tricks by 5, 25, 125 Multiplying any digit number by 5, 25, and 125 faster than calculator 00:07:00 Multiplication by vertically & crosswise Multiplying any two digit numbers using Vertically and Crosswise 00:04:00 Multiplying three digit numbers using Vertically and Crosswise 00:05:00 Multiplying four digit numbers using Vertically and Crosswise 00:08:00 Multiplying different digit numbers using Vertically and Crosswise 00:05:00 Division Tricks by Nikhilam Technique of Vedic Math Division by 9 in 2 seconds 1223 00:05:00 Division by 9 continues...... 00:06:00 Division by Nikhiliam Sutra in single line in 2 seconds 00:14:00 Straight Division Technique Straight Division by Vedic Math 00:09:00 Division by two-digit number 00:07:00 Division by three-digit number 00:07:00 Division - when answers are decimals 00:12:00 Division by three or four digit numbers 00:09:00 Straight Division - Two special problems 00:08:00 Squaring Numbers Tricks Squaring numbers that end in 5 using Vedic Math 00:04:00 Squaring two digit numbers mentally Using Vedic Math technique 00:06:00 Squaring three digit numbers mentally Using Vedic Math technique 00:05:00 Tricks of finding cubes of numbers Finding cube of any two-digit number faster than calculator 00:10:00 Square Roots and Cube Roots Tricks Approximation method of finding square root of numbers which are perfect squares 00:12:00 Approximate value of square root of numbers which are not perfect squares 00:09:00 Approximation method of finding cube root of numbers which are perfect squares 00:03:00 Approximate value of cube root of numbers which are not perfect cubes 00:07:00 Tricks of Counting Squares, Rectangle and Triangles Short tricks to count Number of Squares in given figure 00:05:00 Short tricks to count Number of Rectangles in given figure 00:03:00 Short tricks to count Number of triangles in given figure 00:04:00 Tricks of finding Day of the week (Calendar) Finding Day of the week when any date is given in 2 Seconds mentally 00:12:00 Digital Sum Tricks of finding answers in multiple choice problems Digital sum of a number 00:04:00 Digital sum- Addition and Subtraction 00:10:00 Digital sums- Multiplication 00:07:00 Digital sum- divisions 00:08:00 Simplification short cuts for complicated fractions and square root problems Simplification short tricks for complicated fractions 00:10:00 Simplification short tricks for fractions series part 1 00:07:00 Simplification short tricks for fractions series part 2 00:05:00 Simplification short tricks for complicated square root problems 00:09:00

Best Techniques to Speed up your Math
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Pefect your Algebra Fundamentals

By iStudy UK

Algebra is one of the most common and malleable types of mathematics, and it is also one of the most significant since primary algebra used by electricians, engineers, and nearly everyone in between. This Pefect your Algebra Fundamentals is intended for individuals with no prior knowledge of Algebra. This course includes all the fundamental concepts of Algebra, and each step-by-step arranged modules will explain topics in a mild and an approachable manner. You will understand the basic terminology of Algebra, following with finding the numerical value of Algebraic expressions, addition, subtraction, multiplication and division of Algebraic expressions, directed numbers, higher indices, use of brackets in Algebra and many more. To sum up, theories explained in an interactive and practical format and then further demonstrated with questions to ensure you have a good understanding of the topics by the end of this course. WHAT WILL I LEARN? * Apply laws of Indices ( Exponents) on algebraic expressions. * Algebraic Identities used in algebra and their application like ( a - b ) ² , ( a + b ) ³ , a ³ - b ³ , ( a + b + c ) ² etc * Factorize using common factors, regrouping , splitting the middle term, using identity a² - b² , (a+b)² , (a+b)² ,a ³ + b ³ + c ³ - 3 a b c etc * Solve all types of Linear equations in one variable * Word problems based on linear equations * Knows about adding and removing brackets in algebraic expressions * Change the subject of formula * simplify fractions with denominators algebraic expression and bring them to its lowest form * Add , subtract , multiply and divide any algebraic expression * Divide one polynomial by another by long division method * Find value of any algebraic expression when value of variable is known * Fully familiar with rarely used identity a ³ + b ³ + c ³ - 3 a b c * Learn to draw line graph * Solve Linear Inequalities * Able to solve all the problems of simultaneous linear equations by applying different methods * Able to solve linear equations with 1/2 variables graphically * Able to solve real world problems with the help of simultaneous linear equations * Solve Quadratic equations using Factorization method and Quadratic Formula * Solve Quadratic using squaring complete method * Solve all types of complex Quadratic equations and reducible to quadratic equation * Knowledge of nature of roots of quadratic equations * Learn to solve different types of word problems on Quadratic equations REQUIREMENTS * Knowledge of Mathematics till 5th grade WHO IS THE TARGET AUDIENCE? * GMAT , GRE and MBA entrance exams students looking for revision of Algebra fundamentals * Wants to brush up basics of algebra in Mathematics * Current IGCSE students because course is designed to cover topics of Algebra * Current Algebra students of CBSE , ICSE board . * Middle school, High school or early college level students * If Algebra is always trouble for you then this course is specially for you as it will teach from very basics to in depth knowledge giving lots of practice through solving problems * Students who wants to learn all types of factorisation especially middle term split * High school students who have gaps in their knowledge and would like to fill them with basics Introduction Lecture 1 Intro video Algebra Introduction final 00:02:00 Fundamental concepts on Algebraic Expressions Lecture 2 Terminology used in Algebra 00:05:00 Lecture 3 Language of Algebra 00:06:00 Lecture 4 Practice Questions 00:06:00 Lecture 5 Finding numerical value of an algebraic expression 00:14:00 Operations on Algebraic Expressions Lecture 6 Revision of Directed number ( integers 00:06:00 Lecture 7 Addition and subtraction of monomial expressions 00:06:00 Lecture 8 Addition of algebraic expressions with many terms 00:10:00 Lecture 9 Subtraction of algebraic expressions 00:10:00 Indices ( Exponents) Lecture 10 The rules of Indices in algebra 00:11:00 Lecture 11 Fractional indices 00:10:00 Lecture 12 Understanding indices (practice questions) 00:07:00 Lecture 13 Problems from IGCSE Last year papers 00:09:00 Multiplication and Division of Algebraic expressions Lecture 14 Multiplication of monomial algebraic expressions 00:05:00 Lecture 15 Multiplication of monomial with binomials and trinomials 00:11:00 Lecture 16 Division of algebraic expression by a monomial 00:07:00 Lecture 17 Division of algebraic expression by another polynomial 00:09:00 Lecture 18 Division of a polynomial by another polynomial with remainder 00:11:00 Brackets in Algebra Lecture 19 Rules of brackets 00:04:00 Lecture 20 Simplification by removing brackets 00:11:00 Linear equations in one variable Lecture 21 Simplification of algebraic fractions 00:07:00 Lecture 22 Rules to solve linear equations in one variable 00:03:00 Lecture 23 Solving linear equations in one variable 00:07:00 Pefect your Algebra Fundamentals 00:10:00 Lecture 25 Word problems on linear equations in one variable 00:13:00 Algebraic Identities Lecture 26 Standard Identities (a + b )² and (a - b )² identities 00:11:00 Lecture 27 Standard Identity ( a - b ) ( a + b) = a ² - b ² 00:08:00 Lecture 28 Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c 00:07:00 Lecture 29 Standard Identities ( a + b ) ³ and ( a - b ) ³ 00:09:00 Lecture 30 Standard Identities a ³ + b ³ and a ³ - b ³ 00:06:00 Lecture 31 Standard Identities a ³ + b ³ + c ³ - 3 a b c 00:10:00 Formula : Change of subject of formula Lecture 32 -Changing the subject of formula 00:08:00 Linear Inequalities Lecture 33 Linear Inequalities 00:12:00 Resolve into factors Lecture 34 Factorization by taking out common factor 00:10:00 Lecture 35 Factorization by grouping the terms 00:09:00 Lecture 36 Factorize using identity a ² - b ² 00:07:00 Lecture 37 Factorize using identity (a + b )² and (a - b )² 00:08:00 Lecture 38 Factorize using identity ( a + b + c ) ² 00:05:00 Lecture 39 Factorization by middle term split 00:12:00 Algebraic Fractions Lecture 40 Simplification of algebraic fractions 00:06:00 Coordinate axis - points and Line graph Lecture 41 All that you need to know about co ordinate axis 00:04:00 Lecture 42 Some important facts needed to draw line graph 00:03:00 Lecture 43 How to draw a line graph on coordinate plane 00:03:00 Lecture 44 Drawing line graphs 00:06:00 System of simultaneous linear equations in two variables Lecture 45 Simultaneous Linear Equations in two variables- intro 00:03:00 Lecture 46 Graphical method of solving linear equations 00:06:00 Lecture 47 Graphical method - more sums 00:10:00 Lecture 48 Method of Elimination by substitution 00:09:00 Lecture 49 Method of Elimination by Equating coefficients 00:11:00 Lecture 50 Method of Elimination by cross multiplication 00:07:00 Lecture 51 Equations reducible to simultaneous linear equations 00:12:00 Lecture 52 Word Problems on Linear equations 00:18:00 Polynomials Lecture 53 Polynomials and Zeros of polynomials 00:10:00 Lecture 54 Remainder Theorem 00:04:00 Lecture 55 Factor Theorem 00:08:00 Lecture 56 Practice problems on Remainder and Factor Theorem 00:09:00 Lecture 57 Factorization using factor Theorem 00:10:00 Quadratic Polynomials Lecture 58 Zeros of polynomials α, β & γ 00:10:00 Lecture 59 Relation between zeros and coefficients of a polynomials 00:13:00 Lecture 60 Writing polynomials if zeros are given 00:06:00 Lecture 61 Practice problems on zeros of polynomials 00:10:00 Lecture 62 Problems solving with α and β (part 1) 00:11:00 Lecture 63 Problems solving with α and β (part 2) 00:10:00 Quadratic Equations Lecture 64 what are Quadratic equations 00:03:00 Lecture 65 Solutions by factorization method 00:12:00 Lecture 66 Solutions by completing square formula 00:06:00 Lecture 67 Deriving Quadratic formula 00:05:00 Lecture 68 Practice problems by Quadratic formula 00:07:00 Lecture 69 Solving complex quadratic equations by Quadratic Formula 00:11:00 Lecture 70 Solutions of reducible to Quadratic Formula 00:09:00 Lecture 71 Skilled problems on Quadratic Equations 00:07:00 Lecture 72 Exponential problems reducible to Quadratic Equations 00:06:00 Lecture 73 Nature of Roots of Quadratic Equations 00:09:00 Lecture 74 Word problems on quadratic Equations Part 1 00:13:00 Lecture 75 Word problems on quadratic Equations Part 2 00:11:00 lecture 76 word problems on Quadratic 00:12:00 Mock Exam Final Exam

Pefect your Algebra Fundamentals
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Educators matching "Arithmetic"

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Akks Private Tuition And Education Consultancy

akks private tuition and education consultancy

London

My company “AKKS Private Tuituon And Education Consultancy Limited” was established On 17 / 06 / 2021,My company is private tutoring and consultancy in London UK. My company's system: my first lesson is free for demonstration purposes. (I trust my training and work experience) The satisfied student continues his/her course. made my introductions from web and Gave free lessons, Online lessons ( Via Webex Meeting System ) and face-to-face lessons continued in Anywhere in th World. I searched and examined separately for each level. We have good knowledge and Experiences about UK’s Education system for Each School Years.We moved in UK and very good location in London. The satisfied students and Adults told his neighbour, relative or friend, After 15 years of active work in private lessons, We have improved myself. My system is very simple first lessons (Mathematics / Science / Mental Arithmetic / Turkish Language ) are given free of charge for promotional purposes. Afterwards, the satisfied students continue the lesson. Then, private lesson training in friends will continue after the free trial. Right Now we have enough Private lessons but Our Company have 3 Main goal form y company.First one is Private lessons (Online / Face to Face) , Second one is Group Lessons, Final one is the Education Consultancy in UK. My company and Myself UK has a lot of competitors in the information accumulation main criteria to choose me but to use similar methods is that active communication and lessons of experience. I will apply the same method while giving private tutoring in the UK and In this way, I will be more successful in private lessons in England. I also received mental arithmetic training and I am studying intelligence games. After the training in intelligence games, the lessons will be even more fun.I think , with my Experiences and methods we will step into very successful education-related businesses in England. With my company , I am adapting my More Than 10 Years experiences in the education system in England . We are doing my best to contribute to the UK's education system. The work We have done while I am here is the guarantee of my future success . My main philosophy is to touch the world of many more students and contribute to them.

Azure Charitable Enterprises

azure charitable enterprises

Cramlington

In recent years, our ability to generate funds from our charitable businesses has become increasingly important to our clients as budgets for the provision of care services (for our clients) have been progressively reduced (since 2009/10). Years of significant under funding (of Local Authorities across the country), coupled with rising demand and costs for care and support, have combined to push adult social care services to breaking point. Since 2010, Local Authorities have had to bridge a £6 billion funding shortfall just to keep the adult social care system going. In addition the Local Government Association estimates that adult social care services face a £3.5 billion funding gap by 2025, just to maintain existing standards of care, while latest figures show that councils in England receive 1.8 million new requests for adult social care a year – the equivalent of nearly 5,000 a day. Decades of failures to find a sustainable solution to how to pay for adult social care for the long-term, and the Government’s recent decision to delay (again) publication of its long-awaited green paper on the issue is increasingly problematic as political leaders (national and local) remain reluctant to discuss and inevitably determine that increases to income tax (e.g. 1p on basic rate income tax), and/or national insurance premiums (e.g. 1p increase) and/or council tax (e.g. 3%) are unavoidable and entirely necessary. While Azure is a non-political organisation, we are naturally concerned by the failure of policy-makers to grip what is, after all, a fairly rudimentary exercise in basic arithmetic. Moreover, from a practitioner perspective, the fragility of the system is illustrated most starkly by the number of care providers that are reluctantly closing their operations or returning contracts to Local Authorities with the result that there is significantly less choice and a lack of capacity to support the rising number of people with care needs. The Centre for Economics and Business Research have recently reported (December 2018) that 59% of the providers they surveyed (nationally) have said that they have had to hand back contracts over the past year and 68% have said they will need to do so in the near future. Service closures are obviously the last resort for any provider; and it is at odds with the way Azure and the majority of our fellow providers usually operate, particularly when we have supported individuals for the majority of their adult lives. It is, however, the clearest indication yet that the under funding of social care is having a deeply negative impact on providers and their ability to deliver critical support to vulnerable adults. We are indeed fortunate (to an extent) that the charitable businesses we operate - and public support for them – helps to sustain our care services. We are however concerned (and for many of our fellow care providers) that there is now: an untenable, over-reliance on the goodwill of an already-overstretched charity sector (that is already subsidising the delivery of care services); an entirely ill-advised presumption that the funding gap can be met by armies of unpaid or under-paid carers; an assumption that the approach to the delivery of care can be re-designed to balance budgets and deliver economies without having an adverse impact on the nature and level of care clients need.

iStudy UK

istudy uk

We understand more than anyone how important it is for you to get the right qualifications at the right time. We also understand that when you have a lot to do, you might not always have the time free to go to a place of study. That is why we created this site, so you can take all the time you need to learn more about your chosen topics as well as be able to do the whole thing from home. We believe in empowering people by offering them opportunities to expand and extend their knowledge and skill set as well as giving them the support they need to achieve great things. With thousands of courses available and a team who will do just about anything to help you, it is safe to say that you will not find a better course provider on the internet and so we would love to work with you to make sure that you get the best experience and best results out of your education. WHAT WE DO Here at iStudy we provide a range of online training courses for those who want to gain new skills, and qualifications and update their knowledge. iStudy training courses are delivered entirely online through our sophisticated student learning portal. The student learning portal is an online learning management system that allows students to study for their courses online. This innovative technology means there is no need to attend any classes or take time off work to study. Professionally accredited courses All our courses are delivered in partnership with nationally recognised awarding bodies so be assured that what you learn with us matters when it comes to achieving your career goals. Study that suits you You do not have to give up your job or your life to get a new qualification, you can learn anytime, anywhere.

Black's Academy

black's academy

London

AQA A level Mathematics 7357 AS level Mathematics 7356 GCSE higher level Mathematics 8300H GCSE foundation level Mathematics 8300F Edexcel A level Mathematics 9MA0 AS level Mathematics 8MA0 GCSE higher level Mathematics 1MA1H GCSE foundation level Mathematics 1MA1F OCR A level Mathematics H240 AS level Mathematics H230 GCSE higher level Mathematics J560 GCSE foundation level Mathematics Other courses IGCSE extended level Mathematics 0580 Scholastic Apititude Test (USA Exam) GED (USA Exam) All other exams Click on any of the above links to obtain free resources Book free diagnostic now blacksacademy symbol Director Peter Fekete Educational consultancy | Curriculum design | Courses for adults | Public speaking | Publications CONTACT a CONTENT OF THE REMOTE LEARNING SYSTEM * US GRADE 6 / UK GCSE GRADE 2–3 1. Addition and subtraction 2. Starting number sequences 3. Further number sequences part I 4. Multiplication to 8 x 8 5. Further number sequences part II 6. Multiplication to 12 x 12 7. Square numbers 8. Positive and negative numbers 9. Sums 10. Shapes and perimiters 11. Measurement and areas 12. Reading information 14. Understanding fractions 15. Decimals 16. Percentages 17. Long multiplication 18. Beginning algebra 19. Beginning probability 20. Beginning geometry 21. Properties of numbers 22. Telling the time 23. Geometry in three dimensions US GRADE 7 / UK GCSE GRADE 4 1. Deeper understanding of number 2. Combinations 3. Long division 4. Operations 5. Practical problems 6. Order and type of numbers 7. Measurement 8. Time and time management 9. Fractions 10. Organising information 11. Ratio and proportion 12. Probability 13. Angles 14. Visual reasoning 15. Bearings 16. Working in two dimensions 17. Working in three dimensions 18. Transformation geometry 19. Continuing algebra US GRADE 8 / UK GCSE GRADE 5–6 1. Patterns and pattern recognition 2. Lines, regions and inequalities 3. Mastering fractions 4. Types of number 5. More about triangles 6. Measurement and computation 7. Proportionality 8. Working with space 9. Indices 10. Further work with ratio 11. Investments 12. Further algebra 13. Quadrilaterals and polygons 14. Speed and displacement 15. Continuing with probability 16. Describing data US GRADE 9 / UK GCSE GRADE 6–7 1. Further proportionality 2. Congruency 3. The tricky aspects of algebra 4. Lines and equations 5. Basic formal algebra 6. Analysis and display of data 7. Graphing functions 8. Dimension and algebra 9. Algebraic fractions 10. Circle theorems 11. Algebraic factors 12. Simultaneous equations 13. Velocity and acceleration 14. Proportionality and scatter 15. Number puzzles US GRADE 10/ UK GCSE GRADE 7–8 1. Transpositions 2. Patterns and pattern recognition 3. Algebraic manipulations 4. Quadratics 5. Surds 6. Linear inequalities 7. Functions 8. Trigonometry 9. Systems of linear equations 10. Further presentation and analysis of data 11. Polynomial functions 12. Algebraic products 13. Finding roots 14. Intersection of lines and curves 15. Indices and index equations US GRADE 11/ UK GCSE GRADE 8–9 1. Completing the square 2. Venn diagrams 3. Coordinate geometry with straight lines 4. Further trigonometry 5. Transformations of curves 6. Modulus 7. Basic vectors 8. Quadratic inequalities 9. The quadratic discriminant 10. Arcs, sectors and segments 11. Circles, curves and lines 12. Probability and Venn diagrams 13. Functions, domains and inverses 14. Trigonometric functions 15. Recurrence relations 16. Further elementary vectors FREE LEGACY RESOURCES Business Studies, Economics, History, Mathematics, Philosophy, Sociology Business Studies PEOPLE AND ORGANISATIONS 1. Management structures and organisations 2. Leadership and management styles 3. Classical theory of motivation 4. Human relations school 5. Management by objectives 6. Workforce planning 7. Recruitment 8. Payment systems MARKETING 1. The economic problem 2. Money and exchange 3. Price determination 4. Determinants of demand 5. Market analysis 6. Marketing and the product life cycle 7. Objectives and marketing EXTERNAL INFLUENCES 1. Stakeholders 2. Business ethics 3. Market conditions 4. Business and the trade cycle 5. Business and technological change 6. Business and inflation 7. Business and exchange rates 8. Business and unemployment ACCOUNTING & FINANCE 1. Cash Flow Management 2. Costs, Profits & Breakeven Analysis 3. Budgeting & Variance Analysis 4. Sources of Finance 5. Profit & Loss Account 6. The Balance Sheet 7. Depreciation by the fixed-rate method 8. Reducing Balance Method 9. Stock Evaluation 10. Working Capital and Liquidity 11. Accounting Principles and Window Dressing 12. Costing and Management Accounting 13. Investors and the Corporate Life Cycle 14. Investment Appraisal: Average Rate of Return 15. Investment Appraisal: Payback Method 16. Investment Appraisal: Net Present Value 17. Investment Appraisal: Internal Rate of Return 18. Profitability Ratios 19. Liquidity Ratios 20. Efficiency and shareholder ratios 22. Gearing and Risk 23. Net Asset Value Economics MARKETS & MARKET FAILURE 1. The economic problem 2. Productive and allocative efficiency 3. Money and exchange 4. Price determination 5. The money market 6. Introduction to the labour market 7. The determinants of demand 8. Supply and elasticity of supply 9. Excess supply and excess capacity 10. Elasticity of demand 11. Market structures 12. Income and cross elasticity 13. Market failure 14. Factor immobility 15. Public and private goods 16. Merit and non-merit goods 17. Cost-benefit analysis 18. Competition policy 19. Market failure and government intervention History ANCIENT HISTORY 1. Prehistory of Greece 2. Mycenae, the Heroic Age c.1550—1125 BC 3. The Greek Middle Ages c.1125—c.700 BC 4. The Greek Tyrannies c. 650—510 BC 5. Sparta 6th and 7th centuries BC 6. Athens and Solon 7. The early inhabitants of Italy 8. The Etruscans 9. Early Roman History up to Tarquin GERMANY & EUROPE 1870—1939 1. Social Change from 1870 to 1914 2. Socialism in Europe 1870 to 1914 3. The Balance of Power in Europe 1870 4. Anti Semitism in Europe 1870 to 1914 5. The Structure of Wilhelmine Germany 6. Bismarck and the Alliance System 7. Weltpolitik 8. Colonial Rivalries 9. First and Second Moroccan Crises 10. The First World War triggers 11. The Causes of the First World War 12. Germany and the First World War 13. Military history of the First World War 14. The Treaty of Versailles 15. The Domestic Impact of the First World War 16. The German Revolution 17. The Weimar Republic 18. The Early Years of the Nazi Party 19. The Rise of the Nazi Party 20. The Establishment of the Nazi Dictatorship 21. Nazi Rule in Germany 1934 to 1939 22. The Economics of the Third Reich 23. Appeasement RUSSIA & EUROPE 1855—1953 1. Alexander II and the Great Reforms 2. Imperial Russia under Alexander III 3. Nicholas II and the 1905 revolution 4. Social and economic developments in Russia 5. Russia: the Great war and collapse of Tsarism 6. Provisonal Government & October Revolution 7. The Era of Lenin 8. The Development of Lenin's Thought 9. New Economic Policy and the Rise of Stalin 10. Stalin and the Soviet Union 1924 to 1953 11. Stalin and the Soviet Economy 12. Stalin and International Relations BRITAIN 1914—1936 1. The Great War and Britain 1914—15 2. Britain during the Great War, 1915—16 3. Lloyd George & the Great War, 1916—1918 4. Great Britain after the War, 1918—22 5. British Politics, 1922—25 6. Class Conflict & the National Strike, 1926 7. Britain & International Relations, 1925—29 8. Social Trends in Britain during the 1920s 9. Social Issues during the late 1920s 10. British Politics 1926—29; Election of 1929 11. Britain — the crisis of 1929 12. The Labour Government of 1929—31 13. Britain and economic affairs, 1931—33 14. Britain and Foreign Affairs, 1931—36 15. Social Conditions in Britain during the 1930s Advanced level Mathematics ALGEBRA & GEOMETRY 1. Simultaneous Equations 2. Polynomial Algebra 3. Cartesian Coordinates 4. The equation of the straight line 5. Intersection of lines and curves 6. Remainder and Factor Theorems 7. Functions 8. Quadratic Inequalities 9. Graphs of Inequalities 10. Indices 11. Polynomial Division 12. Velocity-Time Graphs 13. Tally Charts 14. Absolute and relative errors 15. Sequences and Series 16. Arithmetic Progressions 17. Proof by Contradiction 18. Geometric Progressions 19. The Cartesian Equation of the Circle 20. Transformations of graphs 21. Plane Trigonometry 22. Modulus 23. Trigonometric Functions 24. Inverse Trigonometric Functions 25. Linear Inequalities 26. Proportionality 27. Probability 28. Surds 29. Special Triangles 30. Quadratic Polynomials 31. Roots & Coefficients of Quadratics 32. Radian measure 33. Permutations and Combinations 34. Set Theory and Venn Diagrams 35. Sine and cosine rules 36. Elementary Trigonometric Identities 37. Roots and curve sketching 38. Graphs and roots of equations 39. Picards Method 40. Small Angle Approximations 41. Simultaneous equations in three unknowns 42. Linear relations and experimental laws 43. Conditional Probability 44. Pascal's Triangle and the Binomial Theorem 45. Index Equations and Logarithms 46. The Binomial Theorem for Rational Indices 47. Exponential Growth and Decay 48. Exponential and Natural Logarithm 49. Compound Angle Formulas 50. Sinusoidal functions 51. Vector Algebra 52. The Vector Equation of the Straight Line 53. The Scalar Product of Vectors 54. Axiom Systems 55. Introduction to Complex Numbers 56. The algebra of complex numbers 57. Complex Numbers and the Argand plane 58. De Moivres Theorem 59. Eulers formula 60. Further loci of complex numbers 61. Further graph sketching 62. Mathematical Induction 63. Proof of the Binomial Theorem 64. Polar Coordinates 65. Conic sections 66. Partial Fractions 67. First-order linear recurrence relations 68. Summation finite series with standard results 69. Method of differences 70. Trigonometric Equations 72. Series Expansion 73. Lagrange Interpolating Polynomial 74. Error in an interpolating polynomial 75. Abelian groups 76. Geometrical uses of complex numbers 77. Cyclic Groups 78. The Cayley-Hamilton Theorem 2x2 Matrices 79. Cayley Theorem 80. Determinants 81. Isomorphisms 82. Lagrange theorem 83. Properties of groups 84. Group structure 85. Subgroups 86. Homomorphisms 87. Matrix Algebra 88. Determinant and Inverse of a 2x2 matrix 89. Gaussian elimination 90. Matrix representation of Fibonacci numbers 91. Matrix groups 92. Inverse of a 3 x 3 Matrix 93. Singular and non-singular matrices 94. Properties of Matrix Multiplication 95. Induction in Matrix Algebra 96. Properties of Determinants 97. Permutation groups 98. First Isomorphism Theorem for Groups 99. Roots of Polynomials of Degree 3 100. Scalar Triple Product 101. Systems of Linear Equations 102. Matrix Transformations 103. Mappings of complex numbers 104. Cross product of two vectors 105. Vector planes 106. Eigenvalues and Eigenvectors CALCULUS 1. Introduction to the Differential Calculus 2. Stationary points and curve sketching 3. Applications of Differentiation 4. Differentiation from First Principles 5. The Trapezium Method 6. Integration 7. Direct Integration 8. Applications of integration to find areas 9. Graphs of Rational Functions 10. Derivatives of sine and cosine 11. Products, Chains and Quotients 12. Volumes of Revolution 13. Exponential and Logarithmic Functions 14. Integration by Parts 15. Parametric Equations 16. The Integral of 1/x 17. Integration by Substitution 18. Implicit Differentiation 19. Formation of a differential equation 20. Separation of variables 21. Integrals of squares of trig functions 22. Maclaurin Series 23. Techniques of Integration 24. Integrating Factor 25. The Newton-Raphson formula 26. Errors in Numerical Processes 27. Roots and Recurrence Relations 28. Derivatives of Inverse Trig. Functions 29. Second order homogeneous equations 30. Second order inhomogeneous equations 31. Implicit differentiation — second derivative 32. Integrands to inverse trigonometric functions 33. Integrands to logarithmic function 34. Integration of Partial Fractions 35. Logarithms and Implicit Differentiation 36. Implicit differentiation and MaClaurin series 37. Separation of variables by substitution 38. Trigonometric Substitutions for Integrals 39. Truncation Errors 40. Euler and Trapezoidal Method 41. Numerical methods for differential equations 42. Simpson Method 43. Proof of Simpson Formula 44. Richardson Extrapolation 45. Arc length of a curve in Cartesian coordinates 46. Arc length of a curve in Polar coordinates 47. Arc length of a curve: Parametric form 48. Curves in Euclidean space 49. Functions and continuity 50. The gradient of a scalar field 51. The derivatives of the hyperbolic functions 52. Hyperbolic Functions 53. Inverse Hyperbolic Functions 54. Hyperbolic Identities 55. Integrals with inverse hyperbolic functions 56. Reduction formulae 57. Simultaneous differential equations 58. Surface of Revolution 59. Vector differential calculus 60. Scalar Fields and Vector Functions STATISTICS & PROBABILITY 1. Central Tendency: Mean, Median and Mode 2. Standard Deviation 3. Cumulative Frequency 4. Discrete Random Variables 5. Mutually exclusive and independent events 6. The Binomial Distribution 7. The Normal Distribution 8. Standardised Normal Distribution 9. Regression Lines 10. Correlation 11. The Geometric Distribution 12. Hypothesis Testing — Binomial Distribution 13. Index Numbers 14. Time Series Analysis 15. Bayes Theorem 16. Confidence interval mean — known variance 17. The Central Limit Theorem 18. Pearsons product moment correlation 19. Spearmans Rank Correlation Coefficient 20. Hypothesis Testing — Normal Distribution 21. The Poisson Distribution 22. The Normal Approximation to the Binomial 23. The Normal Approximation to the Poisson 24. The Poisson Approximation to the Binomial 25. Type I and type II errors 26. Scalar multiples of a Poisson variable 27. Test for the Mean of a Poisson distribution 28. Random Number Sampling 29. Estimating Population Parameters 30. Random Samples and Sampling Techniques 31. The Concept of a Statistic 32. Hypothesis test for the population variance 33. Central Concepts in Statistics 34. Continuous Probability Distributions 35. Modeling: Chi squared goodness of fit 36. Chi squared test for independence 37. Degrees of Freedom 38. Difference Sample Means Unknown Variance 39. Moment generating functions 40. Probability generating functions 41. Linear Combinations of Random Variables 42. Maximum Likelihood Estimators 43. Wilcoxon signed rank test on median 44. Non-parametric significance tests 45. Single-sample sign test of population median 46. Paired-sample sign test on medians 47. Paired sample t-test for related data 48. Paired sample Wilcoxon signed rank test 49. Difference of two sample means 50. Pooled sample estimate 51. Testing the Sample Mean 52. The Uniform Distribution MECHANICS 1. Velocity-Time and Displacement-Time Graphs 2. Force diagrams 3. Representation of Forces by Vectors 4. Static Equilibrium 5. Equilibrium of coplanar forces 6. Weight and Free Fall 7. Normal Reaction and Friction 8. Newtons First and Second Laws 9. Relative Motion 10. Projectiles 11. Calculus and Kinematics 12. Motion of a Particle: Vector calculus form 13. Work 14. Energy Conversions 15. Gravitational potential and kinetic energy 16. Connected Particles 17. Moments 18. Linear momentum 19. Power 20. Hookes Law 21. Simple Harmonic Motion 22. Simple Harmonic Motion and Springs 23. Calculus, Kinematics in Three Dimensions 24. Sliding, toppling and suspending 25. Impulsive Tensions in Strings 26. Angular Velocity 27. Motion in a Horizontal Circle 28. Centre of Mass of a Uniform Lamina 29. Motion in a Vertical Circle 30. Motion under a Variable Force 31. Conservation of Angular Momentum 32. Centre of Mass of a Composite Body 33. Motion under a central force 34. Centre of Mass of a Uniform Lamina 35. Centre of Mass Uniform Solid of Revolution 36. Equilibrium of Rigid Bodies in Contact 37. Damped Harmonic Motion 38. Moment of Inertia 39. Impulse, elastic collisions in one dimension 40. Parallel and Perpendicular Axis Theorems 41. Motion described in polar coordinates 42. Simple pendulum 43. Compound pendulum 44. Stability and Oscillations 45. Vector calculus 46. Linear Motion of a Body of Variable Mass DISCRETE & DECISION 1. Algorithms 2. Introduction to graph theory 3. Dijkstra algorithm 4. Sorting Algorithms 5. Critical Path Analysis 6. Dynamic Programming 7. Decision Trees 8. The Maximal Flow Problem 9. The Hungarian algorithm 10. Introduction to Linear Programming 11. Simplex Method 12. Matching Problems 13. Game Theory 14. Minimum connector problem 15. Recurrence relations 16. Proofs for linear recurrence relations 17. Simulation by Monte Carlo Methods 18. Travelling and Optimal Salesperson Problems 19. The Travelling Salesperson Problem Philosophy INTRODUCTION TO PHILOSOPHY 1. The problem of evil 2. Introduction to Plato 3. Knowledge, belief and justification 4. Descartes Meditation I 5. Introduction to the problem of universals 6. Introduction to metaethics 7. Subjectivism versus objectivism 8. Aristotle's function argument 9. Natural Law Theory 10. Utilitarianism 11. The Nicomachaen Ethics of Aristotle 12. Virtue Ethics 13. Descartes Meditation II 14. Hume and empiricism 15. The paradox of induction 16. Hume's attack on Descartes 17. The Cosmological Argument 18. The Ontological Argument 19. The Teleological Argument 20. The Argument from religious experience 21. The Moral Argument 22. The argument from illusion 23. Materialism 24. Human Identity Sociology PERSPECTIVES & METHODOLOGY 1. Introduction to Marxism 2. Introduction to Durkheim 3. Weber: classes, status groups and parties 4. Introduction to patriarchy and gender roles 5. Mass culture theory 6. The Frankfurt school STRATIFICATION & DIVERSITY 1. Ethnic groups and discrimination 2. Race, Ethnicity and Nationalism 3. Social Inequality 4. Theories of Racism 5. Class structure 6. Modern Functionalism and Stratification 7. Social Mobility 8. Bottomore: Classes in Modern Britain 9. American exceptionalism ASPECTS OF SOCIETY 1. Definitions of Poverty 2. Theories of Poverty 3. Solutions to Poverty 4. Alienation 5. Leisure 6. Work and Technological Change 7. Conflict and Cooperation at Work 8. Attitudes to Work 9. Unemployment 10. Perspectives on Education 11. Education and Ethnicity 12. Education and Gender 13. The Family and Social Structure 14. The Family and Household Structure 15. Conjugal Roles 16. Marital Breakdown 17. Post War Education in Britain 18. British Social Policy 1945—1990