Courses Catalogue

Engineering Mathematics Iii

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

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.

COURSE OBJECTIVES

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

  •   Know  Laplace  Transforms,  differential  and  integral  equations,  Fourier  series  and transforms Z-transform.
  •   Apply the concepts learnt in transforms 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, andit’s inverse.
  •  Compute limits and partial derivatives of functions of several variables.
  •   Apply change of variables in solving problems.
  •  Outline analytic functions and their interesting properties.
  • Know 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.