MATH 164: Multidimensional Calculus

Note: If this course is being taught this semester, more information can be found at the course home page.

Cross Listed



MATH 162 or MATH 143 or MATH 172

Most science programs require between one and two years of calculus. See Comparing the Calculus Sequences.


This extends the calculus techniques to handle functions of more than one variable. It also concentrates increasingly on the geometric aspect of calculus, the ability to picture what the symbols stand for. This ability to picture the information contained in the equations is particularly important for applying calculus to problems in physics, engineering (e.g. hydrodynamics), computer graphics and in upper level mathematics subjects such as differential geometry (MATH 255).

Topics covered

Equations of lines and planes, quadric surfaces, space curves, partial derivatives, linear approximation, directional derivatives, extrema, lagrange multipliers, double/triple integrals including cylindrical and spherical coordinates. Line, surface, and volume integrals, divergence theorem, Stokes’ theorem.

See Comparing the Calculus Sequences.