MATEMATIKA II

After passing this exam, the student should be able to 1. Defines the notion of definite and indefinite integral and their connection through the Newton-Leibniz formula. 2. Find definite and indefinite integrals using techniques like substitution rule, trigonometric integration, integration by parts, integration of rational functions ... 3. Compute the area bounded by multiple curves and the volume of a solids that are obtained by revolving of that plane region about a horizontal or vertical line. 4. Uses various tests in order to determine the convergence of the series, compute Taylor's representation of certain functions. 5. Defines the basic notions and results related to the Fourier series.