Introduction to Mathematical Thinking – FREE Online Math Course
Take advantage of some FREE online learning through Stanford University by enrolling in Keith Devlin‘s course Introduction to Mathematical Thinking. This free online course is one of many offerings from Stanford University without a cost.
While the course officially began on February 3rd, registration is still open. There is no indication of when the course will close for new participants, so I would jump on the opportunity now if you are interested.
What the course covers:
The goal of the course is to help you develop a valuable mental ability – a powerful way of thinking that our ancestors have developed over three thousand 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.
Instructor’s welcome and introduction
1. Introductory material
2. Analysis of language – the logical combinators
3. Analysis of language – implication
4. Analysis of language – equivalence
5. Analysis of language – quantifiers
6. Working with quantifiers
8. Proofs involving quantifiers
9. Elements of number theory
10. Beginning real analysis
Not sure if you really want to take on a course? Register and take what you can from the course. Don’t worry, it won’t cause a blemish on your transcript!
Have you participated in a free online course in the past? What were your thoughts? Share with us in the comments below!