Learning Outcomes At the end of the course students should be able to:
Understand the Real-valued functions of a real variable;
Solve some problems using the Mean value Theorem and Taylor Series expansion; and
Evaluate Line Integral, Surface Integral, and Volume Integrals. Course Contents 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.
