Dec 02, 2023
 HELP 2023-2024 Academic Catalog Print-Friendly Page (opens a new window) Add to Portfolio (opens a new window)

# M 273M - Multivariable Calculus

Credit(s): 5

Prerequisite(s): a grade of “C” or better in M 172  or Math Department consent.
This is the third semester of a three semester sequence in calculus, intended for students majoring in engineering, mathematics, chemistry, or physics. It includes vectors, vector-valued functions, partial derivatives, multiple integrals, and integration in vector fields. (Fall Semester)

Course Learning Outcomes: Upon completion of the course, students will be able to
• Use mathematical techniques to problem solve.
• Explain three-dimensional coordinate systems, dot and cross products, equations of lines and planes, cylinders and quadratic surfaces.
• Explain vector-valued functions and space curves, their derivatives, arc length and curvature, and motion in space.
• Explain limits, continuity and partial derivatives of functions of several variables.
• Explain tangent planes to surfaces and linear approximations.
• Explain the chain rule, directional derivative and gradient vector, extreme values and Lagrange Multipliers.
• Explain double and triple integrals over general regions, and their applications.
• Explain triple integrals in cylindrical and spherical coordinates.
• Explain vector fields, line integrals and the Fundamental Theorem of Line Integrals.
• Define Green’s Theorem.
• Explain curl and divergence of vector fields.
• Explain surface integrals, Stokes Theorem, and the Divergence Theorem.

Add to Portfolio (opens a new window)