Limits and continuity. Derivatives, Rules of differentiation, Higher order derivatives, Chain rule. Related rates. Rolle's and the mean value theorem. Critical Points. Asymptotes. Curve sketching. Integrals, Fundamental Theorem, Techniques of integraion, Definite integrals. Application to geometry and science. Indeterminate forms. L'Hospital's Rule. Improper integrals. Polar Coordinates.

Power series,Taylor Polynomials, Taylor Series, Maclaurin series, Lines and planes, Functions of Several Variables, Limits and Continuity, Partial Differentiation, Chain Rule, Tangent plane, Critical points, Global and Local Extrema, Directional Derivatives, Gradient, Divergence and Curl, Multiple integrals with applications, Triple integrals with applications, Triple integrals in Cylindrical and Spherical coordinates, Line-, Surface- and Volume Integrals, Independence of path, Green’s Theorem, Conservative Vector Fields, Divergence Theorem, Stoke’s Theorem.