Math 205 Differential and Integral Calculus: So., Tu. and Th. 14:00-15:00

Sequences, infinite series, Convergence tests: Comparison, limit comparison, ratio, root, alternating series tests, Power series (radius and interval of convergence), Taylor and Maclaurin series, power series, representation of functions, Binomial series, Vectors, vector algebra, dot and cross products, lines, planes, surfaces, vector functions and applications, functions of several variables, partial derivatives and Chain Rule, Gradients, local extrema of functions of two variables, Lagrange multipliers, Double integrals and applications (area and volume), double integrals in polar coordinates, details in LMS.

Text Book:

Calculus by E. R. Swokowski, M. Olinic, and D. Pence, PWS Publishing Company, Boston., 6th Edition