Calculus III

Undergraduate

is an introduction to infinite sequences and series, and to the differential and integral calculus of multivariate functions. Topics include symbolic and numerical computations in calculus using a computer algebra system, convergence of infinite series, power and Taylor series, complex numbers including Euler’s formula and radius of convergence in the complex plane, partial derivatives, optimization and Taylor series for multivariable functions, and double integrals in Cartesian and polar coordinates.