SECOND YEAR LEVEL

(a) Applied Mathematics

MAP 211: Introduction to Numerical Analysis

Finite differences; polynomial approximations; Collocation and Osculation polynomials; Taylor polynomials; error analysis; interpolation and prediction; introduction to Numerical differentiation and integration; Solutions to non-linear equations; solutions of linear systems. 

24 credits; one 3-hour paper.

Prerequisite: MAT 121 or 60% for MAT 123 (113)

MAP 221: Introduction to Analytical Methods.

Applications of ordinary differential equations; Laplace transforms and their applications to physical problems; Fourier series and Fourier integrals; Gamma, Beta and other special functions.

24 credits; one 3-hour paper.

Prerequisite: MAT 121 or 60% for MAT 123 /113 plus PHY 121/123

(b) Pure Mathematics

Compulsory: MAT211, MAT212 and MAT 223. In addition, students have to choose between MAT224 and MAT225.

MAT 211: Advanced Calculus.

Differential equations; functions of several variables; limits and continuity ;partial derivatives and applications; multiple integrals; vector analysis. [Compulsory module]

16 credits; one 3-hour paper.

Prerequisites: MAT111 and MAT121; or at least 60% final mark for MAT112(MAT122) and MAT113(MAT123)

MAT 212: Fundamentals:

Elementary mathematical logic, number and set theory; introduction to groups, rings and fields. [Compulsory module]

8 credits; one 2-hour paper.

Prerequisites: MAT 111 and MAT 121; or at least 60% final mark for MAT 112(MAT 122) and MAT 123(MAT 113).

MAT 223: Linear  Algebra

Linear systems; Matrix algebra; Determinants; Vector spaces; Linear transformations;

Eigenvalues and eigenvectors; quadratic forms. [Compulsory module].

12 credits; one 2-hour paper.

Prerequisites: MAT 111 and MAT 121; or at least 60% final mark for MAT 112(MAT 122) and MAT 123(MAT 113).

MAT 224: Real Analysis

Cardinality; Order properties; Completeness and topology of the real line; Convexity on R; Sequences and series; Limits and continuities on R; Differentiation; Convergence; Riemann integration. [Optional module].

12 credits; one 2-hour paper.

Prerequisites: MAT 111 & MAT 121; or at least 60% final mark for MAT 112/122 and MAT 113/123.

MAT 225: Geometry

Euclidean and non-Euclidean geometries. [Optional module].

12 credits; one 2-hour paper.

Prerequisites: MAT 111 and MAT 121; or at least 60% final mark for MAT 112(MAT 122) and  MAT 123(MAT 113).

______________________________________________________