Stanford University - Introduction to Mathematical Thinking
5.0 /5- Offered byCoursera
Introduction to Mathematical Thinking at Coursera Overview
Duration | 39 hours |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Intermediate |
Official Website | Explore Free Course  |
Credential | Certificate |
Introduction to Mathematical Thinking at Coursera Highlights
- Shareable Certificate Earn a Certificate upon completion
- 100% online Start instantly and learn at your own schedule.
- Flexible deadlines Reset deadlines in accordance to your schedule.
- Intermediate Level
- Approx. 39 hours to complete
- English Subtitles: Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, English, Spanish
Introduction to Mathematical Thinking at Coursera Course details
- Learn how to think the way mathematicians do ? a powerful cognitive process developed over thousands of years.
- Mathematical thinking is not the same as doing mathematics ? at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box ? a valuable ability in today?s world. This course helps to develop that crucial way of thinking.
Introduction to Mathematical Thinking at Coursera Curriculum
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
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