Learning Outcomes

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

[1]  Describe the basic concept and solution of second order differential equations, Laplace transform and Fourier series.

[2]  Select an appropriate technique to solve problems involving differential equations.

[3]  Apply the concept of differential equations in solving engineering problems.

Synopsis

This course is intended to introduce the concept and theories of differential equations. Second order linear differential equations with constant coefficients will be solved by using the methods of undetermined coefficient, variation of parameters and Laplace transform. Fourier series in relation to periodic functions will be discussed. An introduction to the solution and application of partial differential equations with boundary value problems using the method of separation of variables and Fourier series will also be discussed. 

References

[1]  Muzalna M. J., Irmawani J., Rahifa R., Nurilyana A. A., 2010, Module 2: Differential Equations, Penerbit UTeM.

[2]  Cengel Y. A. & Palm W. J., 2013, Differential Equations for Engineers and Scientists, 1st Ed. McGraw-Hill., U.S.A..

[3]  Nagle R. K., Saff E. B. & Snider A. D., 2011, Fundamentals of Differential Equations and Boundary Value Problems, 6 th Ed. Pearson Education Inc., U.S.A.

[4]  Kohler W. & Johnson L., 2011.  Elementary Differential Equations with Boundary Value Problems.  Pearson Education Inc., U.S.A.

[5]  Edwards C. H. & Penny D. E., 2008.  Differential Equations and Boundary Value Problems, 4 th Ed. Pearson Education Inc., New Jersey, U.S.A.