MATH 1920: Multivariable Calculus for Engineers

Covers multivariable calculus for engineers and physical scientists. Topics include partial derivatives, directional derivatives, gradient vectors, multiple integrals in various coordinate systems, vector fields, line and surface integrals, Green’s theorem, Stokes’ theorem, and the Divergence theorem.

• Three-dimensional geometry and vector algebra: dot products, cross products, planes, and parametric curves in MATH 1920
• 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 Engineers