Math 53

Math 53 is the lower division course in multivariable calculus, designed for math, physics, and engineering majors. It is a four unit course.

Overview

A foundational multivariable calculus course which explores such useful concepts as partial derivatives, non-Cartesian coordinate systems, and multiple integrals. The crown jewels of the course are the fundamental theorem of line integrals as well as Green’s, Stokes’s, and the divergence theorems, which are all insightful generalizations of the fundamental theorem of calculus. Math 53 is a must for physics majors, who must grapple with such vector calculus-heavy subjects as electrodynamics.

Prerequisites

Math 1B

Student Comments

“I would say that 53 is probably taken as soon as possible, because even 5A uses some concepts such as spherical coordinates and line integrals.” – Teresa Du, undergraduate physics

“Beware of the weekly quizzes during discussion. The curve for Math 53 is tougher than the Physics department so it is even more important to be ahead of the curve. Fear not, the competition in Math 53 is inferior to that of Physics classes so you will be at an advantage. Unlike the Physics Department, the homeworks are graded on completion not on accuracy so you can write made up answers on HW if you don’t have time.” – Andrew Hsu, undergraduate physics