Introduction to Mathematical Thinking online course offered by Stanford

Introduction to Mathematical Thinking is a free online course offered by Stanford conducted by the Coursera.

About this course:

• 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.

Syllabus

• Welcome Lecture
• Formalized parts of language for use in mathematics.
• Analysis of language for use in mathematics.
• Complete our analysis of language
• This week we take our first look at mathematical proofs, the bedrock of modern mathematics.
• This week we complete our brief look at mathematical proofs
• The topic this week is the branch of mathematics known as Number Theory.
• Real Analysis
• Test Flight

Duration: 09 weeks

Self Paced

For more details, please visit: https://www.coursera.org/learn/mathematical-thinking