Courses Catalogue

Engineering Mathematics Iii

COURSE CODE: MAT2211
COURSE CREDIT UNIT: 4
ACADEMIC PROGRAMME: Civil Engineering, Bsc
COLLEGE/SCHOOL/FACULTY: School of Engineering and Applied Sciences
STATUS: Core
PROGRAMME TYPE: Undergraduate

Course Description

COURSE DESCRIPTION

This course imparts students with knowledge & skills in Laplace transforms, Fourier Transform, Calculus of Variations, Functions of Complex Variable, Z-Transforms & Applications of Partial Differential Equations; their applications to Engineering fields and analysis using software packages.

 

COURSE JUSTIFICATION/RATIONALE

To Consolidate and advance the material covered in Engineering Mathematics II; Provide the mathematical tools needed in other semesters' course units and Develop the analytical and critical thinking abilities fundamental to problem solving in Engineering.

 

LEARNING OBJECTIVES

By the end of this course, the student should be able to:

·        Understand the concept of Laplace Transforms, differential and integral equations, Fourier series and transforms Z-transform.

·        Acquire knowledge of complex variables

·        Understand the solution to partial differential equations

·        Get exposed to the application of MATLAB in solving engineering problems

 

LEARNING OUTCOMES

A student on completing this course is expected to:

§  Solve partial differential equations using Laplace Transforms.

§  Apply Fourier series and Fourier transform in solving engineering problems.

§  State properties of Laplace transform and it’s inverse.

§  Compute limits and partial derivatives of functions of several variables.

§  Apply change of variables in solving problems.

§  Use analytic functions and their interesting properties.

§  Use conformal mappings with a few standard examples that have direct application.

§  Grasp the basics of complex integration and the concept of contour integration which is important for evaluation of certain integrals encountered in practice.