Calculus of functions of two and three variables: Parametric
curves and applications to planetary motion. Derivatives, the
gradient, Lagrange multipliers. Multiple integration, area,
volume, and physical applications, polar, cylindrical, and
spherical coordinates. Line and surface integrals, Green's,
Stokes's, and Divergence theorems, with applications to physics.
Athena Title
Calc III Science and Math
Equivalent Courses
Not open to students with credit in MATH 2270H, MATH 2500, MATH 2500E, MATH 2500H
Prerequisite
MATH 2260 or MATH 2310H or MATH 2410 or MATH 2410H
Semester Course Offered
Offered fall, spring and summer
Grading System
A - F (Traditional)
Student learning Outcomes
Students will be able to calculate partial derivatives, directional derivatives, and gradients.
Students will be able to solve maximum and minimum problems using Lagrange multipliers.
Students will learn to calculate area, volume, center of mass, and moment of inertia using multiple integrals.
Students will understand integrals along curves and surfaces, culminating in various generalizations of the Fundamental Theorem of Calculus.
Students will apply the tools learned in this course to areas such as planetary motion, gravitation, data fitting, Gauss's Law, and fluid dynamics.
4. Multiple integration: double and triple integrals, change of order of integration, applications to computations of areas, volumes, center of mass and moments of inertia. Polar, cylindrical, and spherical coordinates.
5. Line integrals, work, path-independence, and Green's Theorem.
6. Surface integrals and flux. Curl, divergence, Stokes's and Divergence Theorems and their applications.
