MATH 251 — Differential Equations

BSc BSc Computer Engineering · Kwame Nkrumah University of Science and Technology

OUTLINE Differential Equations: Ordinary Differential Equations: First and Second Order Linear Differential Equations; System of Differential Linear Equations with Constant Coefficients; Laplace Transforms. Solution in Series, Fourier Series; Classification of Second Order Partial Differential Equations and Reduction to Canonical Forms; Solution of Simple (Boundary and Initial Value Problems by Separation of Variables. COURSE OBJECTIVE(S) This module aims to introduce students to the various classifications, solution methods and applications of first order and higher order ordinary differential equations. LEARNING OUTCOMES On completion of the Math 251 course the students should be able to: Classify first order ordinary differential equations in terms of type, order, degree and linearity. Have the technique to solve most, if not all, first order differential equations. Be able to solve differential equation of higher order with constant coefficient using the appropriate technique for each kind of higher order equations. Apply the technique in solving the differential equation in solving differential equation appears in engineering, actuarial science, economics and finance etc. MODE OF DELIVERY The mode of delivery of this course will be blended i.e., in person and online REQUIRED TEXTBOOKS/READINGS Frank Ayers, JR.: Theory and Problems of Differential Equations, McGraw – Hill Inc. Earl D. Rainville and Philip E. Bedient: Elementary Differential Equations, The Macmillan Company Richard Bronson and Gabriel Costa (2006): Differential Equation (Third Edition), McGraw – Hill Inc. Erwin Kreyszig (2002): Advanced Engineering Mathematics (Eighth Edition), John Wiley and Sons, Inc.

Credits

4

Level

Year Two

Semester

Semester One

Course details from DETAILED COURSE OUTLINE FOR BSC MECHANICAL ENGINEERING - Department of Mechanical Engineering.