Math 201

MATH 201 : Differential and Integral Calculus (3+1+0)
Cartesian, cylindrical and spherical coordinate systems.  Functions of two and three variables, limits and continuity and partial derivatives.  The chain rule, extrema of functions of two variables and Lagrange multipliers. Double integrals, moments and center of mass, double integrals in polar coordinates, triple integrals, applications of triple integrals, triple integrals in cylindrical and spherical coordinates, surface area. Sequences, infinite series and convergence tests. Representation of functions by power series, Taylor and Maclaurin series and the binomial series.
 Text book:Calculus: The Classic Edition 5th Edition by Earl W. Swokowski