MATH 2160 ANALYSIS & MATHEMATICAL METHODS II

Level: II

Semesters: 2 AND EVENINGS - SEMESTER 2

Course Code: MATH 2160

Course Title: ANALYSIS & MATHEMATICAL METHODS II

Number of Credits: 4

PREREQUISITEs:   MATH 1140 AND MATH 1150 OR MATH 1141, MATH 1142, MATH 1151 AND MATH 1152

Course Description: The Laplace transform and applications to differential and integral equations. Ordinary linear differential equations, Wronskian, linear independence. Existence and uniqueness (no proofs). Classification of points of second-order differential equations. Series solutions about ordinary and regular singular points. Fourier series. Solution of the two-dimensional heat, wave and Laplace equation using the separation of variables technique. Functions of a single complex variable, continuity, differentiability, analyticity and the Cauchy-Riemann equations; power series and contour integrals, Cauchyís theorem and integral formulae. Singularities and their classification. Residue theorem and its application to the evaluation of definite integrals.

Assessment:

Coursework                                                             40%

Final Examination - One 2-hour written paper           60%