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ZUG1025 - Advanced Mathematical Concepts

Undergraduate – Module

Refer to the specific census and withdrawal dates for the semester(s) in which this module is offered.


Business, Engineering and Technology


South Africa

  • Semester 1, 2018
    On-campus block of classes
    (Mainstream & Extended Programme)

12 credits, NQF Level 5


The module introduces the students to various mathematical theorems that are used to solve complex mathematical problems including the use of Cartesian equation in complex numbers. It augments these theorems by explaining the algebraic equations of vector, linear and matrix algebra. Finally it describes the mechanisms that can be used to solve the system of differential equations which are often used in mathematical analysis of engineering problems.


On completion of the module, students will be expected to be able to:

1Understand the mathematical theorems
2Apply the methodologies learnt in the theorems to solve mathematical problems
3Perform arithmetic calculations of vector algebra
4Solve the system of linear equations
5Convert Cartesian equations to polar equations and vice versa in complex numbers
6Solve differential equations


Coursework assessment: 30%
Examination: 70%

Workload requirements

The objective is to progressively introduce students to additional mathematical tools that can be used in conjunction with fundamental concepts of calculus covered in Basic Mathematical Concepts, to solve a broad range of scientific and engineering problems. There will be a combination of lectures, that will include interactive elements, and tutorial work that will be done on an individual basis. All outcomes will be assessed by means of tutorials, class tests and a final examination.

Chief examiner(s)





Basic Mathematical Concepts