Bachelor of Science in Mathematics

SMA323 | Ordinary Differential Equations  | 2025 | Year Three | Semester 2  | Mr. Fitler HENRY  
Bachelor of Science in Mathematics

SMA323 | Ordinary Differential Equations  | 2025 | Year Three | Semester 2  | Mr. Fitler HENRY  

Course Descriptions

This unit is an introduction to Ordinary Differential Equations. Differential Equations allow us to connect mathematics with the physical world. There are two main branches of differential equations; Ordinary and Partial Differential Equations and the distinction lies in the type of derivatives involved. The unit requires the use of undergraduate calculus and linear algebra to solve ordinary differential equations (ODE).

SMA413 | Mathematical Research Project | 2025 | Year Four | Semester 2  |
Bachelor of Science in Mathematics

SMA413 | Mathematical Research Project | 2025 | Year Four | Semester 2  | Mr. Knox McKEN/ Mr. Jeffrey AMBELYE  

This course, "Mathematical Research Project," is a continuation of the previous semester's "Mathematical Research Methods" course, where students conducted literature reviews and developed project proposals. In this course, students will implement their research projects, focusing on the practical application of machine learning models across a range of domains. Students will design, develop, and analyze machine learning solutions to real-world problems, culminating in a comprehensive project report and presentation. The course emphasizes hands-on experience, critical analysis, and effective communication of research findings.

SMA422 | Mathematical Modelling | 2025 | Year Four | Semester 2  | Mr. Jeffrey AMBELYE
Bachelor of Science in Mathematics

SMA422 | Mathematical Modelling | 2025 | Year Four | Semester 2  | Mr. Jeffrey AMBELYE  

Mathematical modelling is key to bridging the gap between mathematics and solving real
world problems. Whether used to simulate the spread of an infectious disease or predict the 
trajectory of a falling satellite, mathematical modelling permeates disciplines across academia 
and industry. This course provides an overview of essential mathematical modelling techniques 
using differential equations and their application to real-world problems, providing an 
introduction to the study of Applied Mathematics.  
As well as surveying general techniques, the subject will focus on a number of illustrative case 
studies covering topics across the spheres of the natural world and human endeavour, from 
environmental issues, to biology, ecology, medicine, engineering, business and commerce. 
It involves the use of mathematical ideas to investigate “real-world” problems. Therefore, 
understanding of the role and potential of mathematical modeling is an important part of the 
mathematical knowledge of any student pursuing a career in mathematics or science. 
Mathematical Modeling requires one to describe a real world problem mathematically, then 
solve/analyze the mathematical representation of the problem with help of suitable software, 
and then interpret the mathematical conclusion and relate/compare them to the real world 
conclusions. While any branch of mathematics could be used to describe a real problem 
mathematically, the choice of mathematics depends on the type of problem at hand and the 
expertise of the modeler. However, most often the real world problem involves some 
quantities changing with respect to others and so the mathematical description of the problem 
involves differential equations. This unit requires the use of calculus and ordinary differential 
equations to model simple problems and then using mathematical software to implement and 
study their behaviors. 

SMA423 | Complex Analysis | 2025 | Year Four | Semester 2  | Mr. Knox McKEN 
Bachelor of Science in Mathematics

SMA423 | Complex Analysis | 2025 | Year Four | Semester 2  | Mr. Knox McKEN 

This is a first course on complex analysis and it introduces the theory of functions of a complex variable, focusing on concepts such as complex differentiation and integration, analytic functions, Cauchy-Riemann equations, Cauchy's theorem and integral formula, power series, residues, and applications of contour integration. The course emphasizes the unique properties of holomorphic functions, explores conformal mappings, and develops tools for evaluating difficult real integrals, all while building a foundation for further study in mathematics, physics, and engineering.