Infinite series with positive terms, alternating series. Taylor series. Definite integrals. Mean Value and Fundamental Theorem of Calculus. Primitive. Working with integrals. Area of regions between curves. Improper integrals.
Functions of several variables. Limits, continuity, partial and directional derivatives. Gradient, differentiability. Hessian matrix. Maximum/minimum problems. Implicit functions. Lagrange multipliers. Multiple integration. Change of variables in multiple integrals.
