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Basic Discrete Mathematics
Course Highlights Gain the solid skills and knowledge to kickstart a successful career and learn from the experts with this …
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
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 | 00:08:00 | ||
| 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 | ||
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1 Year Access 
8 Students 
18 hours, 57 minutes