An Introduction To Discrete Maths

Our comprehensive program is meticulously crafted to equip you with the essential skills and knowledge required to thrive in your chosen field. Developed by seasoned professionals with years of industry experience, this course is ideal for those seeking to kickstart their careers or enhance their existing skill set.

Featuring an engaging audio-visual presentation and easily digestible modules, our program facilitates a self-paced learning experience. Our dedicated online support team is available on weekdays to provide assistance throughout your journey.

Key Learning Outcomes

• Grasp the fundamentals and their practical applications.
• Cultivate the necessary skills for success in your field.
• Apply newfound knowledge to real-world scenarios.
• Develop effective solutions for relevant topics.
• Elevate your employability and career prospects.

Course Curriculum

• Module 01: Introduction to Sets
• Module 02: Definition of Set
• Module 03: Number Sets
• Module 04: Set Equality
• Module 05: Set-Builder Notation
• Module 06: Types of Sets
• Module 07: Subsets
• Module 08: Power Set
• Module 09: Ordered Pairs
• Module 10: Cartesian Products
• Module 11: Cartesian Plane
• Module 12: Set Operations (Union, Intersection)
• Module 13: Properties of Union and Intersection
• Module 14: Set Operations (Difference, Complement)
• Module 15: Properties of Difference and Complement
• Module 16: Partition of Sets
• Module 17: Statements
• Module 18: Compound Statements
• Module 19: Truth Tables
• Module 20: Logical Equivalences
• Module 21: Tautologies and Contradictions
• Module 22: Logical Equivalence Laws
• Module 23: Negation of Conditional Statements
• Module 24: Converse and Inverse
• Module 25: Biconditional Statements
• Module 26: Digital Logic Circuits
• Module 27: Black Boxes and Gates
• Module 28: Boolean Expressions
• Module 29: Truth Tables and Circuits
• Module 30: Equivalent Circuits
• Module 31: NAND and NOR Gates
• Module 32: Quantified Statements &#; ALL
• Module 33: Quantified Statements &#; THERE EXISTS
• Module 34: Negations of Quantified Statements
• Module 35: Parity
• Module 36: Divisibility
• Module 37: Prime Numbers
• Module 38: Prime Factorisation
• Module 39: GCD &#; LCM
• Module 40: Terminologies
• Module 41: Direct Proofs
• Module 42: Proofs by Contrapositive
• Module 43: Proofs by Contradiction
• Module 44: Exhaustion Proofs
• Module 45: Existence &#; Uniqueness Proofs
• Module 46: Proofs by Induction
• Module 47: Evaluating a Function
• Module 48: Domains
• Module 49: Graphs
• Module 50: Graphing Calculator
• Module 51: Extracting Info from a Graph
• Module 52: Domain &#; Range from a Graph
• Module 53: Function Composition
• Module 54: Function Combination
• Module 55: Even and Odd Functions
• Module 56: One to One (Injective) Functions
• Module 57: Onto (Surjective) Functions
• Module 58: Inverse Functions
• Module 59: Long Division
• Module 60: The Language of Relations
• Module 61: Relations on Sets
• Module 62: The Inverse of a Relation
• Module 63: Reflexivity, Symmetry and Transitivity
• Module 64: Properties of Equality &#; Less Than
• Module 65: Equivalence Relation
• Module 66: Equivalence Class
• Module 67: Subgraphs
• Module 68: Degree
• Module 69: Sum of Degrees of Vertices Theorem
• Module 70: Adjacency and Incidence
• Module 71: Adjacency Matrix
• Module 72: Incidence Matrix
• Module 73: Isomorphism
• Module 74: Walks, Trails, Paths, and Circuits
• Module 75: Eccentricity, Diameter, and Radius
• Module 76: Connectedness
• Module 77: Euler Trails and Circuits
• Module 78: Hamiltonian Paths and Circuits
• Module 79: Ore&#;s Theorem
• Module 80: The Shortest Path Problem
• Module 81: Outlier
• Module 82: Variance
• Module 83: Factorials
• Module 84: The Fundamental Counting Principle
• Module 85: Permutations
• Module 86: Combinations
• Module 87: Pigeonhole Principle
• Module 88: Pascal&#;s Triangle
• Module 89: Arithmetic Sequences
• Module 90: Geometric Sequences
• Module 91: Partial Sums of Arithmetic Sequences
• Module 92: Partial Sums of Geometric Sequences
• Module 93: Assignment &#; An Introduction to Discrete Maths

Designed to give you a competitive edge in the job market, this course offers lifetime access to materials and the flexibility to learn at your own pace, from the comfort of your home.

Why Choose Us?

• Learn at your own pace with 24/7 online access to course materials.
• Benefit from full tutor support available Monday through Friday.
• Acquire essential skills in the convenience of your home through informative video modules.
• Enjoy 24/7 assistance and advice via email and live chat.
• Study on your preferred device – computer, tablet, or mobile.
• Gain a thorough understanding of the course content.
• Improve professional skills and earning potential upon completion.
• Access lifetime course materials and expert guidance.
• Enjoy the convenience of online learning with flexible schedules.

Why Enroll in This Course?

Our program provides a comprehensive introduction to the subject matter, laying a solid foundation for further study. It empowers students to acquire knowledge and skills applicable to both their professional and personal lives.

Assessment

The course incorporates quizzes to evaluate your understanding and retention of the material. These quizzes pinpoint areas for further practice, allowing you to review course materials as needed. Successfully passing the final quiz qualifies you for a certificate of achievement.

Requirements

There are no formal requirements for this course, it is open to anyone who is interested in learning the material.

Career Path

Our course is meticulously designed to equip you for success in your chosen field. Upon completion, you’ll have the qualifications to pursue diverse career opportunities across various industries.