Login Now || Don't have an account yet? Register Now

Total Price ~~$1,000.00~~ $500.00

Overview

Curriculum

Rating & Reviews

Overview

- Understand the basic concepts of sets and their notation.
- Explore different types of sets and set operations.
- Study relations and functions as essential components of set theory.
- Learn about infinite sets and cardinality.
- Discover applications of set theory in various mathematical disciplines.
- Build problem-solving skills through exercises and proofs.
- Develop a solid mathematical foundation for advanced studies.

- Topic 1: What are Sets?
- Topic 2: Set Notation and Terminology
- Topic 3: Subsets and Power Sets

- Topic 4: Union and Intersection of Sets
- Topic 5: Complements and Set Differences
- Topic 6: Cartesian Product of Sets

- Topic 7: Binary Relations
- Topic 8: Equivalence Relations
- Topic 9: Functions and Function Notation

- Topic 10: Countable and Uncountable Sets
- Topic 11: Cardinality of Sets
- Topic 12: Cantor’s Theorem and Diagonalization

- Topic 13: Set Theory in Logic and Computer Science
- Topic 14: Set Theory in Probability
- Topic 15: Set Theory in Number Theory

- Topic 16: Strategies for Solving Set Theory Problems
- Topic 17: Proofs in Set Theory
- Topic 18: Practice Exercises and Proof Examples

- Topic 19: Comprehensive Review of Set Theory Concepts
- Topic 20: Practice Problems and Final Exam Preparation

- Lecture notes, textbook recommendations, and supplementary reading materials for each chapter.
- Weekly assignments and problem sets.
- Access to a discussion forum for course-related questions and discussions.
- Sample proofs and solutions for reference.

- Weekly assignments and quizzes to assess understanding.
- Participation in discussions and peer review of problem-solving exercises.
- Mid-term and final exams covering course content.

Participants who successfully complete the course and meet the assessment criteria will receive a Certificate of Completion in Set Theory Fundamentals.

This course is designed for students, mathematicians, computer scientists, and anyone interested in building a strong foundation in abstract mathematics.

A basic understanding of elementary mathematics is recommended, but no prior knowledge of set theory is required.

Curriculum

**Chapter 1: Introduction to Sets**

- Topic 1: What are Sets?
- Topic 2: Set Notation and Terminology
- Topic 3: Subsets and Power Sets

**Chapter 2: Set Operations**

- Topic 4: Union and Intersection of Sets
- Topic 5: Complements and Set Differences
- Topic 6: Cartesian Product of Sets

**Chapter 3: Relations and Functions**

- Topic 7: Binary Relations
- Topic 8: Equivalence Relations
- Topic 9: Functions and Function Notation

**Chapter 4: Cardinality and Infinite Sets**

- Topic 10: Countable and Uncountable Sets
- Topic 11: Cardinality of Sets
- Topic 12: Cantor’s Theorem and Diagonalization

**Chapter 5: Applications of Set Theory**

- Topic 13: Set Theory in Logic and Computer Science
- Topic 14: Set Theory in Probability
- Topic 15: Set Theory in Number Theory

**Chapter 6: Problem Solving and Proofs**

- Topic 16: Strategies for Solving Set Theory Problems
- Topic 17: Proofs in Set Theory
- Topic 18: Practice Exercises and Proof Examples

**Chapter 7: Review and Practice**

- Topic 19: Comprehensive Review of Set Theory Concepts
- Topic 20: Practice Problems and Final Exam Preparation

Rating & Reviews

(0 Rating)

No Review & Rating Yet

Categories

Copyright Â© 2023 | companyname@companydomain.com

Login Now || Don't have an account yet? Register Now

Connect with

Sign up with Facebook Sign up with Google