HIGHER DIPLOMA IN MATHEMATICS

Program Overview

The Higher Diploma in Mathematics is a one-year full-time program designed for individuals with a primary degree in mathematics or closely related fields. The program offers students the opportunity to specialize in various areas of mathematics, including pure and applied mathematics, statistics, and mathematical finance. Graduates are eligible for membership in the Institute of Mathematics and its Applications and can pursue careers in research, statistics, data science, software development, and education.

Program Outline

Degree Overview:

Program:

Higher Diploma in Mathematics

Overview:

The Higher Diploma in Mathematics is a one-year full-time program designed for individuals with a primary degree in mathematics or closely related fields who seek to deepen their mathematical knowledge and skills. The program offers students the opportunity to specialize in various areas of mathematics, including pure and applied mathematics, statistics, and mathematical finance.

Objectives:

• To equip students with advanced knowledge and skills in mathematics.
• To prepare students for further studies in mathematics or related fields at the postgraduate level.
• To equip students with the mathematical skills and knowledge necessary for employment in various sectors such as industry, finance, and education.

Program Highlights:

• Students who attain First Class Honours or Second Class Grade 1 in the Diploma are eligible to apply to higher postgraduate programs in mathematics or related fields.
• This Diploma can also serve as a final course in mathematics for those seeking employment in various fields such as industry, commerce, banking and finance, insurance, software development, process engineering, or education.
• The program can be taken part-time over two or more years, allowing flexibility for working professionals.
• Upon successful completion of the program, students are deemed to have reached the honours degree standard in Mathematics.
The Diploma is awarded at pass and honours levels.
• Graduates are eligible for membership in the Institute of Mathematics and its Applications.

Outline:

Program Structure:

The program is structured as follows:

• Year 1 (full-time):
• Students complete 60 ECTS credits of coursework, consisting of 10 modules.
• Each module is typically worth 6 ECTS credits.
• Assessment:
• Students are assessed through a combination of coursework, examinations, and projects.

Core Modules:

• Foundations of Real Analysis
• Foundations of Abstract Algebra
• Functional Analysis
• Complex Analysis
• Differential Equations
• Probability Theory
• Statistics

Elective Modules:

• Mathematical Finance
• Numerical Analysis
• Mathematical Modelling
• Operations Research
• Topology
• Group Theory
• Geometry
• Combinatorics
• Logic
• History of Mathematics

Coursework Schedule:

• Semester 1:
• Modules offered: Foundations of Real Analysis, Foundations of Abstract Algebra, Functional Analysis, Complex Analysis
• Semester 2:
• Modules offered: Differential Equations, Probability Theory, Statistics
• Summer:
• Students can choose 2 elective modules from the list above

Teaching:

• The program is taught by experienced and qualified mathematicians who are active in research.
• Teaching methods include lectures, tutorials, and laboratory sessions.
• The program is approved by the Quality Assurance Authority for Higher Education (QAA).

Assessment:

Assessment Methods:

• Coursework (essays, reports, projects)
• Examinations (written, oral)
• Presentations

Assessment Criteria:

• Understanding and application of mathematical concepts
• Problem-solving skills
• Analytical skills
• Written and oral communication skills

Careers:

Career Opportunities:

• Research mathematician
• Statistician
• Actuary
• Data scientist
• Software developer
• Financial analyst
• Teacher of mathematics

Further Study:

• Master of Science in Mathematics
• Doctor of Philosophy in Mathematics

Additional Notes:

• The program content and structure are subject to change.