Multivariable Calculus

4 Credits · Level: Undergraduate

Prerequisite: MATH 1360 or equivalent Description: This is a first course in differential and integral calculus of functions of several variables. After the introduction of vectors and the 2 and 3-dimensional Euclidean space, functions of several variables are discussed. Functions of two variables will be visualized by surfaces in the three-dimensional space. Partial derivatives and the total derivative of real-valued and vector-valued functions, the chain rule, directional derivatives, extrema of real-valued functions, constrained extrema and Lagrange multipliers, and double and triple integrals will be covered. Time permitting, the course will conclude with fundamental theorems of vector calculus, including Green’s, Gauss’s, and Stokes’s theorems.