MCS252 Differential Equations

1. Prerequisites	:	None
2. Contents	:	Mathematical models related to ordinary differential equations. Linear first order differential equations. Initial value and boundary value problems. Exact and separable differential equations; Bernoulli equation. Numerical approximations: Euler and Runge-Kutta methods. Second order linear equations with constant coefficients; characteristic equation. The method of undetermined coefficients and variation of parameters. Series solutions of linear differential equations. The Laplace transform, Solution of matrix differential equations, Systems of Linear Differential Equations.
3. Objectives	:	The student will learn the concept of differential equations and this course forms a base for engineering applications.
4. Textbook/ Lecture notes	:	William E. Boyce and Richard C. DiPrima: "Elementary Differential Equations and Boundary Value Problems", John Wiley & Sons Inc., 2005.
5. Attendance	:	Compulsory attendance for theory lectures is 70%, for laboratories 80%.
6. Grading	:	3 Midterms 60%, Final 40%
7. Academic dishonesty	:	Academic dishonesty is related to cheating and plagiarism. Copying in whole or in part others’ assignments, lab works or exams, is considered cheating respectively plagiarism. All parties involved will receive a zero score for the lab, assignment or the exam.

William E. Boyce and Richard C. DiPrima, Elementary Differential Equations and Boundary Value Problems, John Wiley & Sons Inc., 2005.