Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and ...

Implementations of the following numerical integration techniques are given below: Left-hand Riemann sum, Right-hand Riemann sum, Midpoint Rule, Trapezoid Rule, and Simpson's Rule. Modify and evaluate ...

chain rule, implicit differentiation, related rate problems, linearization, applied optimization, and curve sketching. Introduction to area and integration. Students are expected to have taken ...