MTH316A - Partial Differential Equations

Semester: 
Fall

Instructor: Dr. Maha Amin

Course description:

The course intends to provide a general introduction to partial differential equations (PDEs). The course covers both analytical solution methods and numerical methods for solving partial differential equations. It also covers numerical solution of ordinary differential equations (ODE).

Intended Learning Outcomes of Course (ILOs):

At the end of the course the student should be able to:

  1. 1.   Classify  partial differential equations and identify types of linear second-order PDEs
  2. 2.   Use the method of separation of variables to solve simple linear homogeneous and non-homogeneous PDEs in one and two space variables on rectangular and circular domains
  3. 3.   Transform Hard problems to simple problems using transformation
  4. 4.   Solve second order Elliptic PDEs using finite difference method
  5. 5.   Solve Parabolic and Hyperbolic PDEs in one space variable using explicit and implicit finite difference methods.
  6. 6.   Solve systems of ODE using numerical method
  7. 7.   Select appropriate analytical and numerical methods to apply to various types of differential problems in engineering
       

Assessment                              Week                Grade

-Assessment 1; Class test                 4,10                             8

-Assessment 2; Project Assignment            3,11                              7

-Assessment 3; Midterm Exam                    7                                  15

-Assessment 4; Final Exam                           15                                70

Total                                                              100

 

 

References:

[R1] Stanley J. Farlow, Partial Differential Equations for Scientists and Engineers, Dover, 1992.   

[R2] Walter A. Strauss, Partial Differential Equations: An Introduction, John Willey & Sons, 2008. 

[R3] Erwin Kreyszig, Advanced Mathematical Engineering, John Willey & Sons,1997.