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This Discrete Mathematics course is designed for professionals who want to thrive in their profession. The course covers all the essential skills and knowledge needed to become specialised in this sector.

£113.00
Course Access

Unlimited Duration

Last Updated

November 5, 2021

Students Enrolled

3

Course Duration

18 hours, 57 minutes

Course Instructor
Certification
This Discrete Mathematics course is designed for professionals who want to thrive in their profession. The course covers all the essential skills and knowledge needed to become specialised in this sector. You will learn real life knowledge and expertise from the industry experts and practitioners from this Discrete Mathematics  course.
 
The Discrete Mathematics course starts with the basic knowledge of Discrete Mathematics and gradually shares expertise knowledge. In this course you will get a complete idea of Discrete Mathematics with key concepts, strategies regarding use of it and in-depth knowledge. The Discrete Mathematics course is completely an online course. You can access this course from any part of the world with just a smart device and the internet.
 
By the end of this course, you will get complete knowledge and marketable skills. The course also comes with an E-certificate, which will add extra value to your resume and help you stand out in the job market. In short, Discrete Mathematics course is the perfect course to fast track your career. So what are you waiting for? Enrol in this course today!
 

What you will learn

  • You will learn and develop the ability to think, read and write abstractly and Mathematically.
  • You will learn the fundamentals of Set Theory including set builder notation, and set operations and properties.
  • You will learn tautologies, contradictions, De Morgan's Laws in Logic, logical equivalence, and formulating quantified statements.
  • You will lear how to create truth tables and tell the falsehood and truthfulness of a compound statements.
  • You will know how to write, read and prove Mathematical statements using a variety of methods.
  • You will understand boolean expressions, black boxes, logical gates and digital circuits.
  • You will understand the Fundamental Theorem of Arithmetics, modular arithmetic, and learn how to find GCD & LCM.
  • You will acquire a solid foundation in functions, function composition & combination, bijective and inverse functions.
  • You will learn how to find equivalence relations and equivalence classes.
  • You will learn essential concepts in Statistics and Combinatorics.
  • You will master arithmetic and geometric sequences, and partial sums.
  • You will learn the fundamental concepts in Graph Theory like incidence and adjacency matrices, walks, eccentricity, hamiltonian paths and circuits, connectedness, and Ore's Theorem.
 

Course Media

Who is this course for?

This course is ideal for those who work in or aspire to work in the following professions:
  • Sets
  • Logic
  • Number Theory
  • Proofs
  • Functions
  • Relations
  • Graph Theory
  • Statistics
  • Combinatorics 
  • and Sequences and Series
 

Why Choose Discrete Mathematics course?

  • Conducted by industry experts
  • Get Instant E-certificate
  • Fully online, interactive course with Professional voice-over
  • Developed by qualified professionals
  • Self paced learning and laptop, tablet, smartphone friendly
  • Tutor Support
 

Certification

By the successful completion of the course, you will get an instant e-certificate. Our courses are fully updated, that aim at making you an expert in the field. The hard copy of the certificate is also available for £4.99 and can be sent to your address. The delivery charge is applicable which will be £3.99.

Instructor

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Course Curriculum

    • Introduction 00:01:00
    • Definition of a 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 00:12:00
    • 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
    • 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
    • Introduction 00:01:00
    • Parity 00:13:00
    • Divisibility 00:11:00
    • Prime Numbers 00:08:00
    • Prime Factorization 00:09:00
    • GCD & LCM 00:17:00
    • 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
    • Intro 00:01:00
    • Functions 00:15:00
    • Evaluating a Function 00:12:00
    • 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
    • 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
    • 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
    • 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
    • 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
    • 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
    • Get Your Certificate & Transcript 00:00:00

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