Course Summary
This course is designed to help students develop the critical thinking skills needed to solve complex problems. It covers a wide range of mathematical topics including logic, set theory, and number theory.Key Learning Points
- Develop critical thinking skills
- Learn mathematical concepts and theories
- Apply problem-solving techniques
Related Topics for further study
Learning Outcomes
- Develop the ability to solve complex problems
- Understand mathematical concepts and theories
- Learn how to apply problem-solving techniques
Prerequisites or good to have knowledge before taking this course
- Basic knowledge of algebra and geometry
- Familiarity with mathematical symbols and notation
Course Difficulty Level
IntermediateCourse Format
- Online
- Self-paced
Similar Courses
- Introduction to Logic
- Discrete Mathematics
- Calculus: Single Variable
Related Education Paths
Notable People in This Field
- Terence Tao
- Eugenia Cheng
Related Books
Description
Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands of years.
Outline
- Week 1
- Lecture 0 - Welcome
- Lecture 1 - Introductory Material
- Lecture 2 - Logical Combinators
- Tutorial for Assignment 1
- Tutorial for Assignment 2
- Tutorial for Problem Set 1
- Problem Set 1
- Week 2
- Lecture 3 - Implication
- Lecture 4 - Equivalence
- SUPPLEMENT: Using the course evaluation rubric
- Tutorial for Assignment 3
- Tutorial for Assignment 4
- Tutorial for Problem Set 2
- Problem Set 2
- Week 3
- Lecture 5 - Quantifiers
- SUPPLEMENT - How to Read Mathematical Formulas
- Tutorial for Assignment 5
- Tutorial for Problem Set 3
- Problem Set 3
- Week 4
- Lecture 6A - Working with Quantifiers 1
- Lecture 6B - Working with Quantifiers 2
- Tutorial for Assignment 6
- Tutorial for Problem Set 4
- Problem Set 4
- Week 5
- Lecture 7A - Proofs 1
- Lecture 7B - Proofs 2
- Tutorial for Assignment 7
- Tutorial for Problem Set 5
- Problem Set 5
- Week 6
- Lecture 8A - Proofs with Quantifiers 1
- Lecture 8B - Proofs with Quantifiers 2
- Tutorial for Assignment 8
- Tutorial for Problem Set 6
- Problem Set 6
- Week 7
- Lecture 9A - Number Theory 1
- Lecture 9B - Number Theory 2
- Tutorial for Assignment 9
- Tutorial for Problem Set 7
- Problem Set 7
- Week 8
- Lecture 10A - Real Analysis 1
- Lecture 10B - Real Analysis 2
- Lecture 10C - Real Analysis 3
- Tutorial for Assignment 10
- Tutorial for Problem Set 8
- Problem Set 8
- Weeks 9 & 10: Test Flight
- Test Flight Introduction
- Test Flight Tutorial 1
- Test Flight Tutorial 2
- Test Flight Tutorial 3
- Evaluation Exercise 1
- Evaluation Exercise 2
- Evaluation Exercise 3
Summary of User Reviews
Mathematical Thinking course has received positive reviews from users. The course is highly recommended by students who are interested in developing their logical reasoning and problem-solving skills. One key aspect that many users thought was good is the course's emphasis on problem-solving techniques.Pros from User Reviews
- The course is well-structured and easy to follow.
- The instructors are knowledgeable and engaging.
- The course covers a wide range of mathematical concepts.
- The course provides practical examples to help students understand the concepts better.
- The course encourages critical thinking and problem-solving skills.
Cons from User Reviews
- Some users found the course to be too basic.
- The course may not be suitable for students who are looking for advanced mathematical concepts.
- The quizzes and assignments can be challenging.
- The course may not be suitable for students who prefer traditional classroom-style learning.
- The course requires a significant amount of time and effort.
Dr. Keith DevlinTop Instructor
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