Maths: Discrete Maths
Accredited by IAO | Complete Video Lessons from Expert Instructor | Tutor Support Included
One Education
Summary
- Exam(s) / assessment(s) is included in price
- Tutor is available to students
Overview
Learn discrete mathematics concepts to gain mastery over various computational techniques by enrolling in our An Introduction to Discrete Maths course. This course will educate you on the right way to have a firm understanding of the discrete mathematics fundamentals.
Discrete mathematics is an exciting subject that forms the mathematical foundation for virtually every area of computer science. Through this course, you will get familiar with a wide range of mathematical objects like sets, number theories, functions, graph theories, statistics and more. You will be able to apply this knowledge into various mathematical forms. Build the relevant skills to reach a certain level of mathematical maturity by enrolling today.
Why People Love And Enrol The An Introduction to Discrete Maths Course From One Education
- Eligibility for an IAO-accredited certificate on successful completion of An Introduction to Discrete Maths Course
- Learning materials of our An Introduction to Discrete Maths course contains engaging voiceover and visual elements for your comfort
- Freedom to study at your own pace
- 24/7 access to the An Introduction to Discrete Maths course materials for 12 months
- Full Tutor support on weekdays (Monday – Friday)
Course media
Description
This masterclass An Introduction to Discrete Maths online training course is designed by industry experts and will give you an in-depth understanding of this topic. The An Introduction to Discrete Maths course features easy-to-digest modules that break down each topic and ensure all our students receive an unrivalled and thorough learning experience.
If you want to work in this rapidly growing sector and stand out from the competition, then our An Introduction to Discrete Maths is the perfect place to kickstart your dream career.
On the An Introduction to Discrete Maths course, we guarantee that you will gain relevant skills and acquire tremendous knowledge on the subject. The certificate you’ll achieve after completing the An Introduction to Discrete Maths course will help you land the job you want in a related field.
Enjoy a pleasant and professional 100% online learning experience and enrol in our An Introduction to Discrete Maths today and take control of your career!
Course Curriculum:
Here is a curriculum breakdown of the An Introduction to Discrete Maths course:
***An Introduction to Discrete Maths***
Sets
- Introduction to Sets
- Definition of Set
- Number Sets
- Set Equality
- Set-Builder Notation
- Types of Sets
- Subsets
- Power Set
- Ordered Pairs
- Cartesian Products
- Cartesian Plane
- Venn Diagrams
- Set Operations (Union, Intersection)
- Properties of Union and Intersection
- Set Operations (Difference, Complement)
- Properties of Difference and Complement
- De Morgan’s Law
- Partition of Sets
Logic
- Introduction
- Statements
- Compound Statements
- Truth Tables
- Examples
- Logical Equivalences
- Tautologies and Contradictions
- De Morgan’s Laws in Logic
- Logical Equivalence Laws
- Conditional Statements
- Negation of Conditional Statements
- Converse and Inverse
- Biconditional Statements
- Examples
- Digital Logic Circuits
- Black Boxes and Gates
- Boolean Expressions
- Truth Tables and Circuits
- Equivalent Circuits
- NAND and NOR Gates
- Quantified Statements - ALL
- Quantified Statements - THERE EXISTS
- Negations of Quantified Statements
Number Theory
- Introduction
- Parity
- Divisibility
- Prime Numbers
- Prime Factorisation
- GCD & LCM
Proof
- Intro
- Terminologies
- Direct Proofs
- Proofs by Contrapositive
- Proofs by Contradiction
- Exhaustion Proofs
- Existence & Uniqueness Proofs
- Proofs by Induction
- Examples
Functions
- Intro
- Functions
- Evaluating a Function
- Domains
- Range
- Graphs
- Graphing Calculator
- Extracting Info from a Graph
- Domain & Range from a Graph
- Function Composition
- Function Combination
- Even and Odd Functions
- One to One (Injective) Functions
- Onto (Surjective) Functions
- Inverse Functions
- Long Division
Relations
- Intro
- The Language of Relations
- Relations on Sets
- The Inverse of a Relation
- Reflexivity, Symmetry and Transitivity
- Examples
- Properties of Equality & Less Than
- Equivalence Relation
- Equivalence Class
Graph Theory
- Intro
- Graphs
- Subgraphs
- Degree
- Sum of Degrees of Vertices Theorem
- Adjacency and Incidence
- Adjacency Matrix
- Incidence Matrix
- Isomorphism
- Walks, Trails, Paths, and Circuits
- Examples
- Eccentricity, Diameter, and Radius
- Connectedness
- Euler Trails and Circuits
- Fleury’s Algorithm
- Hamiltonian Paths and Circuits
- Ore's Theorem
- The Shortest Path Problem
Statistics
- Intro
- Terminologies
- Mean
- Median
- Mode
- Range
- Outlier
- Variance
- Standard Deviation
Combinatorics
- Intro
- Factorials
- The Fundamental Counting Principle
- Permutations
- Combinations
- Pigeonhole Principle
- Pascal's Triangle
Sequence and Series
- Intro
- Sequence
- Arithmetic Sequences
- Geometric Sequences
- Partial Sums of Arithmetic Sequences
- Partial Sums of Geometric Sequences
- Series
Certification
Once you have finished the An Introduction to Discrete Maths course, you will be eligible to apply for an IAO-accredited certificate as proof of your new skills and your continued professional development. Certificates are available as a PDF for £9, or you can request a hard copy to be sent in the post for £15.
Who is this course for?
The An Introduction to Discrete Maths training course is ideal for highly motivated individuals who want to enhance their professional skills and train for the job they want! This An Introduction to Discrete Maths course also suits people aspiring for some in-depth knowledge on this topic and keep up to date with the latest information.
Study the An Introduction to Discrete Maths course today and increase your professional skillset from the comfort of your home!
Requirements
There are no formal entry requirements for the An Introduction to Discrete Maths course, with enrollment open to anyone! Anyone and everyone with a knack for learning can enrol on this course without any hesitation.
Learn online from any internet device, including your computer, tablet or smartphone. Study when it suits you and complete the An Introduction to Discrete Maths course at your own pace.
All students must have a passion for learning and literacy, as well as being over the age of 16.
Career path
Studying the An Introduction to Discrete Maths course is designed to help you get the job of your dreams, or even that promotion you’ve always wanted! Learn the essential skills and knowledge you need to exceed in your professional life with the help & guidance from our An Introduction to Discrete Maths course.
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