Shaoyun Bai

First half of multivariable calculus (Calc III): partial derivatives, optimization, Lagrange multipliers

Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramers rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers.

I learned how to do multiple variable calculus, specifically vector functions and partial derivatives.

I learned about the multivariable as well as derivatives. It was an extended version of Calculus I.

Many people have to take the course for their major, but I don't know if I'd recommend this section specifically.

This class is straight forward, it might be challenging if you struggle with math like I do, but the expectations are clear and the work manageable.

Only do this course for a hard requirement: not necessary if you can substitute for other classes

I'd recommend if its a requirement; don't take it if you don't need to. Prior to taking to taking Calc III, I heard it was better than II, I think the opposite now. 1 Columbia University: Arts & Sciences Spring 2024 Course: MATHUN1201_004_2024_1-CALCULUSIII : MATHUN1201_004_2024_1 - CALCULUS III Instructor: Shaoyun Bai

Introduction to 3D coordinate system, limits and derivatives of multivariable functions, optimization for two-var functions

I learned how too best source and find information to complete the class on my own