206 ريض-Multivariable differential and integral calculus

Functions of several variables, Domains, graph of a function of two variables and level curves Limits, and Continuity. Partial derivatives, Chain rules. Differentiability of a function of two and three variables Extrema of functions of several variables (local and absolute), Lagrange multipliers. Double integrals and applications (areas and volumes). Double integral in polar coordinates. Triple integrals, Triple integrals in cylindrical and spherical coordinates, applications (volumes). Sequences, infinite series. Positive term series Convergence tests (Integral, Comparison, Limit comparison, Ratio and Root). Alternating series, Absolute and Conditional Convergence. Power series, Radius and Interval of convergence, Power series representations of functions. Taylor and McLaurin series.
Text book: Calculus The classic edition By Swokowski