This course introduces students to mathematical reasoning through topics such as logic, sets, number theory, rational numbers, mathematical induction, relations, functions, and combinatorics. By the end of the course, students will be able to apply logical reasoning to mathematical problems, work with sets and numbers effectively, and understand fundamental concepts in combinatorics. The teaching method involves lectures, problem-solving exercises, and a final exam. This course is intended for learners who want to develop their mathematical thinking and problem-solving skills.
Overview
Syllabus
- Course Introduction
- Unit 1: Logic
- Unit 2: Sets
- Unit 3: Introduction to Number Theory
- Unit 4: Rational Numbers
- Unit 5: Mathematical Induction
- Unit 6: Relations and Functions
- Unit 7: Sets, Part II
- Unit 8: Combinatorics
- Course Feedback Survey
- Certificate Final Exam