### **MATH 2120 ****ANALYSIS & MATHEMATICAL METHODS I**

**ANALYSIS & MATHEMATICAL METHODS I**

**Level: II**

**Semesters: 1 AND EVENINGS - SEMESTER 1**

**Course Code: MATH 2120 **

**Course Title: ANALYSIS & MATHEMATICAL METHODS I**

**Number of Credits: 4**

**PREREQUISITEs: MATH 1140 AND MATH 1150 OR MATH 1141, MATH1142, MATH 1151 and MATH 1152**

**Course Description:** Limits of sequences of real numbers. Convergence of series of real terms. Tests for convergence of positive series. Comparison, quotient, ratio, nth root, integral tests. Absolute convergence. The alternating series test.

Power series: Functions of two (or more) real variables; limits, continuity, partial derivatives, differentiability, stationary points, Lagrange multipliers, Riemann double integral, change of variables and the Jacobian, polar, spherical and cylindrical coordinates, vector calculus, line, surface and volume integrals. Stokes and Gauss Divergence theorems.

**Assessment:**

Coursework 40%

Final Examination - One 2-hour written paper 60%