Relearning Math

By Nilesh Trivedi

This work-in-progress course is for you if you have reached or graduated from university but feel that your maths education has left some foundational gaps. This is also appropriate for students in 8th grade and above.

We will begin from the absolute basics (even counting things is not so easy) and end up somewhere in the undergraduate curriculum. However, unlike typical school curriculum, we will learn using latest math pedagogical advancements and interactive explorables. We will take lots of detours and talk about real-world applications.

Course Outline

• The nature of mathematics

• Counting

• Combinatorics and Probability

• Number Systems

• Shapes

• Exploding Dots

• Algebra and Algebraic Structures

• Functions

• Trigonometry

• Calculus

• Linear algebra & Geometric Algebra

• Topology

• Computing & Type Theory

• Machine Learning

• Open Problems