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An Introduction to Discrete Maths Course
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Highlights
On-Demand course
18 hours 56 minutes
All levels
Description
Overview
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Description
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Why Choose Us?
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Lifetime access to the whole collection of An Introduction to Discrete Maths learning materials.
Online test with immediate results
Enroling in the course has no additional cost.
You can study and complete the An Introduction to Discrete Maths course at your own pace.
Study for the An Introduction to Discrete Maths course using any internet-connected device, such as a computer, tablet, or mobile device.
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Requirements
The An Introduction to Discrete Maths course requires no prior degree or experience. All you require is English proficiency, numeracy literacy and a gadget with stable internet connection. Learn and train for a prosperous career in the thriving and fast-growing industry of An Introduction to Discrete Maths, without any fuss.
Career Path
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Course Curriculum
Sets | |||
Introduction to Sets | 00:01:00 | ||
Definition of Set | 00:09:00 | ||
Number Sets | 00:10:00 | ||
Set Equality | 00:09:00 | ||
Set-Builder Notation | 00:10:00 | ||
Types of Sets | 00:12:00 | ||
Subsets | 00:10:00 | ||
Power Set | 00:05:00 | ||
Ordered Pairs | 00:05:00 | ||
Cartesian Products | 00:14:00 | ||
Cartesian Plane | 00:04:00 | ||
Venn Diagrams | 00:03:00 | ||
Set Operations (Union, Intersection) | 00:15:00 | ||
Properties of Union and Intersection | 00:10:00 | ||
Set Operations (Difference, Complement) | 00:12:00 | ||
Properties of Difference and Complement | 00:07:00 | ||
De Morgan's Law | 00:08:00 | ||
Partition of Sets | 00:16:00 | ||
Logic | |||
Introduction | 00:01:00 | ||
Statements | 00:07:00 | ||
Compound Statements | 00:13:00 | ||
Truth Tables | 00:09:00 | ||
Examples | 00:13:00 | ||
Logical Equivalences | 00:07:00 | ||
Tautologies and Contradictions | 00:06:00 | ||
De Morgan's Laws in Logic | 00:12:00 | ||
Logical Equivalence Laws | 00:03:00 | ||
Conditional Statements | 00:13:00 | ||
Negation of Conditional Statements | 00:10:00 | ||
Converse and Inverse | 00:07:00 | ||
Biconditional Statements | 00:09:00 | ||
Examples | 00:12:00 | ||
Digital Logic Circuits | 00:13:00 | ||
Black Boxes and Gates | 00:15:00 | ||
Boolean Expressions | 00:06:00 | ||
Truth Tables and Circuits | 00:09:00 | ||
Equivalent Circuits | 00:07:00 | ||
NAND and NOR Gates | 00:07:00 | ||
Quantified Statements - ALL | 00:08:00 | ||
Quantified Statements - THERE EXISTS | 00:07:00 | ||
Negations of Quantified Statements | 00:08:00 | ||
Number Theory | |||
Introduction | 00:01:00 | ||
Parity | 00:13:00 | ||
Divisibility | 00:11:00 | ||
Prime Numbers | 00:08:00 | ||
Prime Factorisation | 00:09:00 | ||
GCD & LCM | 00:17:00 | ||
Proof | |||
Intro | 00:06:00 | ||
Terminologies | 00:08:00 | ||
Direct Proofs | 00:09:00 | ||
Proofs by Contrapositive | 00:11:00 | ||
Proofs by Contradiction | 00:17:00 | ||
Exhaustion Proofs | 00:14:00 | ||
Existence & Uniqueness Proofs | 00:16:00 | ||
Proofs by Induction | 00:12:00 | ||
Examples | 00:19:00 | ||
Functions | |||
Intro | 00:01:00 | ||
Functions | 00:15:00 | ||
Evaluating a Function | 00:13:00 | ||
Domains | 00:16:00 | ||
Range | 00:05:00 | ||
Graphs | 00:16:00 | ||
Graphing Calculator | 00:06:00 | ||
Extracting Info from a Graph | 00:12:00 | ||
Domain & Range from a Graph | 00:08:00 | ||
Function Composition | 00:10:00 | ||
Function Combination | 00:09:00 | ||
Even and Odd Functions | 00:08:00 | ||
One to One (Injective) Functions | 00:09:00 | ||
Onto (Surjective) Functions | 00:07:00 | ||
Inverse Functions | 00:10:00 | ||
Long Division | 00:16:00 | ||
Relations | |||
Intro | 00:01:00 | ||
The Language of Relations | 00:10:00 | ||
Relations on Sets | 00:13:00 | ||
The Inverse of a Relation | 00:06:00 | ||
Reflexivity, Symmetry and Transitivity | 00:13:00 | ||
Examples | 00:08:00 | ||
Properties of Equality & Less Than | 00:08:00 | ||
Equivalence Relation | 00:07:00 | ||
Equivalence Class | 00:07:00 | ||
Graph Theory | |||
Intro | 00:01:00 | ||
Graphs | 00:11:00 | ||
Subgraphs | 00:09:00 | ||
Degree | 00:10:00 | ||
Sum of Degrees of Vertices Theorem | 00:23:00 | ||
Adjacency and Incidence | 00:09:00 | ||
Adjacency Matrix | 00:16:00 | ||
Incidence Matrix | 00:08:00 | ||
Isomorphism | 00:08:00 | ||
Walks, Trails, Paths, and Circuits | 00:13:00 | ||
Examples | 00:10:00 | ||
Eccentricity, Diameter, and Radius | 00:07:00 | ||
Connectedness | 00:20:00 | ||
Euler Trails and Circuits | 00:18:00 | ||
Fleury's Algorithm | 00:10:00 | ||
Hamiltonian Paths and Circuits | 00:06:00 | ||
Ore's Theorem | 00:14:00 | ||
The Shortest Path Problem | 00:13:00 | ||
Statistics | |||
Intro | 00:01:00 | ||
Terminologies | 00:03:00 | ||
Mean | 00:04:00 | ||
Median | 00:03:00 | ||
Mode | 00:03:00 | ||
Range | 00:08:00 | ||
Outlier | 00:04:00 | ||
Variance | 00:09:00 | ||
Standard Deviation | 00:04:00 | ||
Combinatorics | |||
Intro | 00:03:00 | ||
Factorials | 00:08:00 | ||
The Fundamental Counting Principle | 00:13:00 | ||
Permutations | 00:13:00 | ||
Combinations | 00:12:00 | ||
Pigeonhole Principle | 00:06:00 | ||
Pascal's Triangle | 00:08:00 | ||
Sequence and Series | |||
Intro | 00:01:00 | ||
Sequence | 00:07:00 | ||
Arithmetic Sequences | 00:12:00 | ||
Geometric Sequences | 00:09:00 | ||
Partial Sums of Arithmetic Sequences | 00:12:00 | ||
Partial Sums of Geometric Sequences | 00:07:00 | ||
Series | 00:13:00 | ||
Assignment | |||
Assignment - An Introduction to Discrete Maths | 00:00:00 |
About The Provider
NextGen Learning
London, United Kingdom
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