### Mathematics (BSc.)

#### Programme Overview

The programme consists of a total of thirty-six (36) advanced credits. This programme will provide, in Level I, a foundation for further study; in Level II a broad based training in core mathematical subjects; and in Level III; the opportunity to pursue advanced courses in specialised areas of pure and applied mathematics. Students who graduate with a major in mathematics will be proficient in the uses of mathematics, especially with calculus, algebra and differential equations. They will also expose to some courses in statistics and higher level mathematical reasoning involving the rigors of mathematical proofs.

#### Programme Objectives

The B.Sc. Major in Mathematics aims to:

1. Equip students with knowledge of the axiomatic nature of mathematics, and enable them to work creatively within this framework;

2. Provide students with a thorough knowledge of fundamental mathematical facts, and solve problems which can be analysed mathematically;

3. Enable students to work either independently or as part of a team;

4. Adequately prepare students to pursue further education and research.

#### Admission Requirements

Entry Requirements

In order to do the BSc Mathematics major Degree, candidates must satisfy the requirements for entrance to the Faculty of Science and Technology they must:

Either:

1. Satisfy the University requirements for Normal Matriculation.

2. Have obtained passes at CSEC Secondary Education General Proficiency level (or equivalent) in Mathematics and two subjects at CAPE (both comprising Units 1 & 2) or at GCE A-level (or equivalent) one of which must be an approved science subject.

Or:

1. Satisfy the University requirements for Lower level Matriculation.

2. Have obtained passes at CSEC Secondary Education General Proficiency level with grades I, II, or since 1998 grade III (or equivalent) in Mathematics and two approved science subjects.

#### Programme Structure

This programme consists of 36 Advanced (Level II/ level III) credits. Level I covers basic courses in Mathematics which provide the foundation for the Level II and III courses. In Level II, 18 credits cover the central areas of pure mathematics, differential equations and probability. In Level III, the compulsory courses explore mathematical analysis.

The course requirements and structure are as tabulated below:

Level I

MATH1141 – Introductory Linear Algebra & Analytic Geometry

MATH1142 – Calculus I

MATH1151 – Calculus II

MATH1152 – Introduction to Formal Mathematics

Level II

MATH2401 – Elements of Mathematical Analysis

MATH2410 – A First Course in Linear Algebra

MATH2404 – Introduction to Probability Theory

MATH2411 – Introduction to Abstract Algebra

MATH2403 – Multivariable Calculus

MATH2420 – Ordinary Differential Equations

Level III

MATH3155 – Complex Variables

MATH3412 – Advanced Linear Algebra

MATH3402 – A course on Metric Spaces & Topology

Plus any two (2) Level 3 courses from the following electives:

MATH3414 -Selected Topics in Operations Research

MATH3421 - Partial Differential Equations

MATH3422 - Mathematical Modelling

MATH3424 - Numerical Methods

MATH3423 – Research Project

STAT3001 - Regression Analysis

MATH3403 - Some Topics in Functional Analyses

MATH3401 - Introduction to the Theory of Integration

MATH3411 - Advanced Abstract Algebra

MATH3404 - Introduction to Differential Geometry with Maple

STAT3002 - Time Series

#### Careers after Graduation

High level positions in the commercial sector, including banking and the broader financial services industry, and the public sector, including education.