MATH 2004: Multivariable Calculus for Engineering or Physics

Multivariable calculus for students in engineering and physical science programs. Covers vector-valued functions, partial differentiation, gradient vectors, directional derivatives, multiple integrals in various coordinate systems, line integrals, surface integrals, Green's theorem, and Stokes' theorem.

• Three-dimensional geometry and vector algebra: dot products, cross products, planes, and parametric curves in MATH 2004
• Partial differentiation: tangent planes, directional derivatives, gradient vectors, and Lagrange multiplier optimization
• Multiple integration: double and triple integrals in Cartesian, cylindrical, and spherical coordinate systems
• Vector calculus theorems: line integrals, conservative fields, Green's Theorem, Stokes' Theorem, and Divergence Theorem in Multivariable Calculus for Engineering or Physics