At the end of this course, the students; 1) Learn methods for solving Ordinary Differential Equations. 2) Know Laplace Transforms and apply them to solve differential equations of engineering subjects. 3) Learn Fourier Series, Integrals and Transforms. 4) Recognize and solve partial differential equations. 5) Apply numerical methods in Linear Algebra and Differential Equations. 6) Learn complex functions. 7) Develop problem-solving skills and working together.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
Yes(MAT152)
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
Ordinary Differential Equations (ODE): First order ODE, Linear differential equations of second order, Systems of ODE, Series solutions of ODE. Fourier Series. Partial Differential Equations. Complex Numbers and Functions. Numerical Methods in Linear Algebra. Numerical Methods for Differential Equations.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Ordinary Differential Equations (ODE): First order ODE
2nd Week
Linear differential equations of second order
3rd Week
Linear differential equations of second order
4th Week
Systems of ODE
5th Week
Series solutions of ODE
6th Week
Series solutions of ODE
7th Week
Fourier Series
8th Week
Midterm
9th Week
Partial Differential Equations
10th Week
Complex Numbers and Functions
11th Week
Numerical Methods in Linear Algebra
12th Week
Numerical Methods in Linear Algebra
13th Week
Numerical Methods for Differential Equations
14th Week
Numerical Methods for Differential Equations
RECOMENDED OR REQUIRED READING
1. Greenberg M.D., Advanced Engineering Mathematics, 2/E, Prentice-Hall, 1998 2. Kreyszig E., Advanced Engineering Mathematics, 9/E, John Wiley & Sons Inc., 2006