Richard Wong

Assistant Adjunct Professor in Mathematics at UCLA.

This quarter, I will be teaching Math 115A (Linear Algebra).

Math 115A: Linear Algebra

You can find the course syllabus here.

What does it mean to prove a theorem? Why are the theorems you saw in Math 33A true? How do we generalize the properties of $\mathbb{R}^n$ as a vector space over $\mathbb{R}$?

115A is the second course in linear algebra. In math 33A, you learned the computational tools of linear algebra in $\mathbb{R}^n$. In math 115A, you will learn how to prove the theorems and tools you saw in 33A. Moreover, you will generalize these theorems to the setting of abstract vector spaces.

115A may also be your first exposure to mathematical proofs. In other words, this course will help you develop the mathematical reasoning and questioning skills needed to explore abstract mathematical concepts. Moreover, you will become fluent in communicating your mathematical ideas, and you will develop the ability to prove (or find counterexamples) to mathematical statements.

This course provides the foundation for exploring other topics in advanced mathematics.