Mathematical Methods 1

At the end of the course students should be able to: 1. understand Real-valued functions of a real variable; 2. solve some problems using Mean value Theorem and Taylor Series expansion; and 3. evaluate Line Integral, Surface Integral and Volume Integrals.

Real-valued functions of a real variable. Review of differentiation and integration and their applications. Mean value theorem. Taylor series. Real-valued functions of two and three variables. Partial derivatives chain rule, extrema, lagrangian multipliers. Increments, differentials and linear approximations. Evaluation of line, integrals. Multiple integrals.