Engineering Mathematics Ii

COURSE DESCRIPTION

This course is aimed at developing the basic Mathematical skills of engineering students that are imperative for effective understanding of engineering subjects. It comprises of advanced linear algebra; The Eigenvalue problem and vector spaces. It looks at the applications of complex numbers. Gradient, Divergence and Curl, Differential Equations (DE) (ODEs & PDEs) and Applications in engineering fields.

COURSE JUSTIFICATION/RATIONALE

To Consolidate and advance the material covered in Engineering Mathematics I; 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:

·        Apply differentiation and integration to solve engineering problems.

·        Apply complex numbers, Differential equations in solving engineering problems.

·        Explain the basics of vector calculus comprising of gradient, divergence & curl and line, surface & volume integrals along with the classical theorems involving them.

·        Familiarize with solving problems using ordinary and partial differential equations

LEARNING OUTCOMES

A student on completing this course is expected to:

·         Describe and apply complex numbers;

·         Differentiate and integrate elementary and multiple functions including systems of differential equations;

·         Solve first-order differential equations.

·         Identify algebraic eigenvalue problems from practical areas and obtain the eigen solutions in certain cases.

·         Use eigenvalues in decompositions for solving complex problems in the sciences and engineering.