Course Highlights
Gain the solid skills and knowledge to kickstart a successful career and learn from the experts with this step-by-step Basic Discrete Mathematics training course. This Basic Discrete Mathematics course for Consistent Profits has been specially designed to help learners gain a good command of Basic Discrete Mathematics, providing them with a solid foundation of knowledge to understand relevant professionals’ job roles.
Through this Basic Discrete Mathematics course, you will gain a theoretical understanding of Basic Discrete Mathematics and others relevant subjects that will increase your employability in this field, help you stand out from the competition, and boost your earning potential in no time.
Not only that, but this Basic Discrete Mathematics training includes up-to-date knowledge and techniques that will ensure you have the most in-demand skills to rise to the top of the industry.
This course is fully CPD-accredited and broken down into several manageable modules, making it ideal for aspiring professionals.
Learning outcome
- Familiar yourself with the recent development and updates of the relevant industry
- Know how to use your theoretical knowledge to adapt in any working environment
- Get help from our expert tutors anytime you need
- Access to course contents that are designed and prepared by industry professionals
- Study at your convenient time and from wherever you want
Course media
Why should I take this course?
- Affordable premium-quality E-learning content, you can learn at your own pace.
- You will receive a completion certificate upon completing the course.
- Internationally recognized Accredited Qualification will boost up your resume.
- You will learn the researched and proven approach adopted by successful people to transform their careers.
- You will be able to incorporate various techniques successfully and understand your customers better.
Requirements
- No formal qualifications required, anyone from any academic background can take this course.
- Access to a computer or digital device with internet connectivity.
Course Curriculum
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Introduction to Sets
00:01:00 -
Definition of Set
00:09:00
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Number Sets
00:10:00
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Set Equality
00:09:00
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Set-Builder Notation
00:10:00
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Types of Sets
00:12:00
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Subsets
00:10:00
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Power Set
00:05:00
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Ordered Pairs
00:05:00
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Cartesian Products
00:14:00
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Cartesian Plane
00:04:00
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Venn Diagrams
00:03:00
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Set Operations (Union, Intersection)
00:15:00
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Properties of Union and Intersection
00:10:00
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Set Operations (Difference, Complement)
00:12:00
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Properties of Difference and Complement
00:08:00
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De Morgan’s Law
00:08:00
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Partition of Sets
00:16:00
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Introduction
00:01:00
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Statements
00:07:00
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Compound Statements
00:13:00
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Truth Tables
00:09:00
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Examples
00:13:00
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Logical Equivalences
00:07:00
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Tautologies and Contradictions
00:06:00
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De Morgan’s Laws in Logic
00:12:00
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Logical Equivalence Laws
00:03:00
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Conditional Statements
00:13:00
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Negation of Conditional Statements
00:10:00
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Converse and Inverse
00:07:00
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Biconditional Statements
00:09:00
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Examples
00:12:00
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Digital Logic Circuits
00:13:00
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Black Boxes and Gates
00:15:00
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Boolean Expressions
00:06:00
-
Truth Tables and Circuits
00:09:00
-
Equivalent Circuits
00:07:00
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NAND and NOR Gates
00:07:00
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Quantified Statements – ALL
00:08:00
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Quantified Statements – THERE EXISTS
00:07:00
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Negations of Quantified Statements
00:08:00
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Introduction
00:01:00
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Parity
00:13:00
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Divisibility
00:11:00
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Prime Numbers
00:08:00
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Prime Factorisation
00:09:00
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GCD & LCM
00:17:00
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Intro
00:06:00
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Terminologies
00:08:00
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Direct Proofs
00:09:00
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Proofs by Contrapositive
00:11:00
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Proofs by Contradiction
00:17:00
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Exhaustion Proofs
00:14:00
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Existence & Uniqueness Proofs
00:16:00
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Proofs by Induction
00:12:00
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Examples
00:19:00
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Intro
00:01:00
-
Functions
00:15:00
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Evaluating a Function
00:13:00
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Domains
00:16:00
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Range
00:05:00
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Graphs
00:16:00
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Graphing Calculator
00:06:00
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Extracting Info from a Graph
00:12:00
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Domain & Range from a Graph
00:08:00
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Function Composition
00:10:00
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Function Combination
00:09:00
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Even and Odd Functions
00:08:00
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One to One (Injective) Functions
00:09:00
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Onto (Surjective) Functions
00:07:00
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Inverse Functions
00:10:00
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Long Division
00:16:00
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Intro
00:01:00
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The Language of Relations
00:10:00
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Relations on Sets
00:13:00
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The Inverse of a Relation
00:06:00
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Reflexivity, Symmetry and Transitivity
00:13:00
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Examples
00:08:00
-
Properties of Equality & Less Than
00:08:00
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Equivalence Relation
00:07:00
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Equivalence Class
00:07:00
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Intro
00:01:00
-
Graphs
00:11:00
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Subgraphs
00:09:00
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Degree
00:10:00
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Sum of Degrees of Vertices Theorem
00:23:00
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Adjacency and Incidence
00:09:00
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Adjacency Matrix
00:16:00
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Incidence Matrix
00:08:00
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Isomorphism
00:08:00
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Walks, Trails, Paths, and Circuits
00:13:00
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Examples
00:10:00
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Eccentricity, Diameter, and Radius
00:07:00
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Connectedness
00:20:00
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Euler Trails and Circuits
00:18:00
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Fleury’s Algorithm
00:10:00
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Hamiltonian Paths and Circuits
00:06:00
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Ore’s Theorem
00:14:00
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The Shortest Path Problem
00:13:00
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Intro
00:01:00
-
Terminologies
00:03:00
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Mean
00:04:00
-
Median
00:03:00
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Mode
00:03:00
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Range
00:08:00
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Outlier
00:04:00
-
Variance
00:09:00
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Standard Deviation
00:04:00
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Intro
00:03:00
-
Factorials
00:08:00
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The Fundamental Counting Principle
00:13:00
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Permutations
00:13:00
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Combinations
00:12:00
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Pigeonhole Principle
00:06:00
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Pascal’s Triangle
00:08:00
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Intro
00:01:00
-
Sequence
00:07:00
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Arithmetic Sequences
00:12:00
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Geometric Sequences
00:09:00
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Partial Sums of Arithmetic Sequences
00:12:00
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Partial Sums of Geometric Sequences
00:07:00
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Series
00:13:00
-
Duration:18 hours, 57 minutes
-
Access:1 Year
-
Units:122
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