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ZUG3029 – Numerical Methods

Undergraduate – Module

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

Faculty

Business, Engineering and Technology

Offered

South Africa
On-campus block of classes

  • Semester 1, 2020 (Mainstream Programme)
  • Semester 1, 2021 (Extended Programme)

12 credits, NQF Level 7

Synopsis

The module is aimed at providing the students with the ability to solve nonlinear equations using iterative methods, solve a linear system of equations by elimination and factorization, as well as solving an initial value problem for a differential equation or system of differential equations by numerical methods. In addition the module enables the students to calculate integrals using composite rules, solve partial differential equations, and understand approximation theory and its application in numerically complex problems. Finally the module gives the students knowledge of employing computational methods using Matlab to solve many of the numerically complex techniques mentioned above which they will come across in their careers.

Outcomes

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

1Use numerical linear algebra for the solution of systems of equations
2Use techniques for numerical interpolation
3Understand how to use techniques for numerical differentiation and integration
4Calculate integrals using composite rule
5Solve initial value problems
6Understand how to solve of boundary value problems
7Solve partial differential equations
8Understand Approximation Theory and its application

Assessment

Coursework assessment: 50%
Examination: 50%

Workload requirements

The objective of this module is to provide the students with the necessary skills and expertise required to solve numerical problems that often require computational methods because of their iterative nature. This module further enables the students to formulate and provide numerical solutions to the complex engineering problems that they will often encounter in their practise of engineering profession in industrial, project or research environment.There will be a combination of lectures, that will include interactive elements, computer-based assignments and tutorial work that will be done as a group. All outcomes will be assessed by means of computer assignments, computer tests, written class tests and a final written examination.

Chief examiner(s)

TBA

Prohibitions

None

Prerequisites

Differential and Integral Calculus, Advanced Differential and Integral Calculus

Co-requisites

None

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