**Contents**show

## UNISA Mathematics Course Module 2024-2025

You can register for the Mathematics program at UNISA, which offers a comprehensive range of modules across various levels of study. Below is a breakdown of the modules available at each NQF level:

### NQF Level 5

**MAT1512 – Calculus A**: This module covers basic skills in differential and integral calculus essential for physical, life, and economic sciences, including applications.

**MAT1503 – Linear Algebra I**: Focuses on basic concepts in linear algebra including systems of linear equations, matrix operations, determinants, and vector spaces.

**MAT1510 – Precalculus Mathematics A**: This module develops skills in graphing and solving equations related to linear, quadratic, exponential, logarithmic, and trigonometric functions.

**MAT1511 – Precalculus Mathematics B**: Expands on precalculus concepts, emphasizing polynomial theory, systems of linear equations, matrices, and the complex number system.

**MAT1514 – Precalculus (Engineering)**: Focuses on algebraic and trigonometric skills for analytical problem-solving in more advanced mathematics and related subjects.

**MAT1581 – Mathematics I (Engineering)**: Covers algebra, trigonometry, calculus, complex numbers, coordinate geometry, matrices, and determinants.

### NQF Level 6

**MAT1613 – Calculus B**: Builds on MAT1512 with more advanced techniques in differentiation and integration and applications in Mathematics.

**MAT2611 – Linear Algebra 2**: Advances concepts of vector spaces, matrix eigenvalues and eigenvectors, and linear transformations.

**MAT2613 – Real Analysis I**: Introduces concepts of sequences, series, limits, and differentiability of functions in real analysis.

**MAT2612 – Introduction to Discrete Mathematics**: Covers counting principles, relations, digraphs, functions, order relations and structures, and induction.

**MAT2615 – Calculus in Higher Dimensions**: Deals with vectors in n-space, partial derivatives, multiple integrals, and theorems of Green, Gauss, and Stokes.

**MAT2691 – Mathematics II (Engineering)**: Focuses on differentiation, integration, first-order differential equations, numerical methods, and statistics.

### NQF Level 7

**MAT3701 – Linear Algebra III**: Focuses on inner product spaces, invariant subspaces, operators, and their canonical forms.

**MAT3702 – Abstract Algebra**: Introduces algebraic structures, groups, homomorphism theorems, factor groups, Euclidean rings, and fields.

**MAT3705 – Complex Analysis**: Covers functions of a complex variable, complex differentiation and integration, and singularities.

**MAT3706 – Ordinary Differential Equations**: Teaches methods for solving homogeneous and non-homogeneous systems of differential equations.

**MAT3707 – Discrete Mathematics: Combinatorics**: Deals with graph theory and enumeration, including trees, networks, and counting principles.

**MAT3700 – Mathematics III (Engineering)**: Explores differential equations, Fourier series, and eigenvalues for engineering applications.

**MAT3711 – Real Analysis II**: Expands on metric spaces, Riemann integral, and various theorems in real analysis.

**MAT3714 – Mathematics III B (Engineering)**: Further explores differential equations, Laplace transforms, and Fourier series.

**APM3715 – Numerical Methods for Civil Engineers A**: Introduces numerical methods to solve engineering problems.

### NQF Level 8 (Honours)

**MAT4835 – Set Theory**: Provides foundational knowledge in set theory, including axiomatic approaches.

**MAT4836 – Topology**: Introduces concepts of topology, such as convergence, continuity, and compactness.

**MAT4837 – Introduction to Category Theory**: Covers basics of category theory, functors, and natural transformations.

**MAT4838 – Category Theory**: Explores adjoint functors, limits, monads, and their applications in mathematics.

**MAT4841 – Functional Analysis I**: Focuses on linear and metric spaces, Banach spaces, and linear operators.

**MAT4842 – Functional Analysis II**: Advances concepts in Banach spaces and spectral theory of bounded linear operators.

**MAT4843 – Ordinary Differential Equations I**: Teaches qualitative methods for analyzing nonlinear ordinary differential equations.

**MAT4844 – Ordinary Differential Equations II**: Focuses on advanced analytical methods and qualitative methods in nonlinear systems.

**MAT4845 – Graph Theory I**: Introduces basic concepts and elementary theory in graph theory.

**MAT4846 – Graph Theory II**: Further explores graph theory topics, including planar graphs and graph colorings.

**MAT4847 – Partial Differential Equations I**: Covers analytical techniques for solving partial differential equations in mathematical physics.

**MAT4848 – Partial Differential Equations II**: Advances techniques for solving complex partial differential equations.

**APM4813 – Advanced Engineering Mathematics**: Teaches advanced mathematical concepts and techniques for engineering.

**APM4814 – Numerical Methods for Civil Engineers II**: Continues development of numerical methods for engineering problem-solving.

**HRMAT82 – Honours Research in Mathematics**: Focuses on conducting and presenting research in mathematics.

**HRMMA82 – Honours Report in Mathematics Education**: Guides students in undertaking and reporting research in Mathematics education.

**MAT4857 – Matrix Theory and Linear Algebra I**: Provides an integrated knowledge of concepts in linear algebra.

**MAT4858 – Matrix Theory and Linear Algebra II**: Continues the study of linear algebra with a focus on inner product spaces and bilinear transformations.

**STE4803 – Research Methods in Mathematics, Science, and Technology Education**: Introduces research methods in educational contexts.

For detailed information on each module, including pre-requisites and recommendations, you should refer to the UNISA course catalog or their official website.