Refer to the specific census and withdrawal dates for the semester(s) in which this module is offered.
Business, Engineering and Technology
This module is a continuation of the Differential and Integral Calculus module, offered in semester 1, and it aims at providing students with advanced knowledge of the theory and application of Laplace and Fourier transforms, special and analytic functions, boundary value problems involving partial differential equations. It further enhances the students’ knowledge of integral calculations by introducing him to complex variables, surface and volume integrals as well as integral theorems of Gauss and Stokes.
On completion of the module, students will be expected to be able to:
|1||Understand and apply theory of Laplace transforms|
|2||Understand and apply theory of Fourier transforms|
|3||Understand the meaning of special functions and analytic functions|
|4||Solve boundary value problems|
|5||Understand complex variables involving conformal transformations & Ideal flow in the plane|
|6||Solve problems involving surface and volume integrals|
|7||Perform calculations on integral theorems like Gauss’ and Stokes’ theorems|
Coursework assessment: 30%
The module equips the students with an ability to use the mathematics of Transforms and Special Functions, including complex variable and integral theorems to formulate and solve problems in calculus in a way that will enable them to extend the application of these transforms, functions and theorems to advanced and specialist modules in engineering.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 tutorial work, class tests and a final examination.
Differential and Integral Calculus