CP315 SCIENTIFIC COMPUTATION, WINTER 2016, WLU

Course Description

An introduction to scientific computation, with substantial use of scientific software, such as Maple and Matlab. Scientific problems and models from different disciplines are considered. Numerical methods introduced in this course include interpolation, curve fitting, solving (systems of) linear and nonlinear equations, eigenvalue problems, integration and solving ordinary and partial differential equations.

Important Course Information

Prerequisites

CP104, MA110* (or MA103), MA122, MA205

Instructor

Dr. Ilias S. Kotsireas,  Office 2076A, Office Hours 24/7 and by appointment, Phone 884-0710 ext. 2218# E-Mail: ikotsireATwlu.ca

Maple & Matlab Coordinator

Dr. Sanjay Prabhakar, E-mail: sprabhakarATwlu.ca

Course Topics

  1. equation solving, nonlinear equations, systems of nonlinear equations
  2. systems of linear equations: direct and iterative methods
  3. matrix eigenvalue problems, matrix eigenvector problems
  4. Fast Fourier Transform
  5. interpolation, curve fitting
  6. numerical differentiation, numerical integration
  7. Optimization
  8. Symbolic Computation
  9. Ordinary Differential Equations (ODEs), Initial Value Problems (IVPs), Boundary Value Problems (BVPs)
  10. Partial Differential Equations (PDEs), Discretization, Finite Difference Methods, Collocation, Finite Element Method

Course Software

Maple is a Scientific Computation System that allows the user to perform symbolic and numeric computations, visualization, experimentation and much more. Maple is being developed maintained and distributed by Maplesoft http://www.maplesoft.com/. Maple is available in Wilfrid Laurier University labs and the latest release of Maple 15, can also be obtained individually through the Maple Adoption Program.
Powered by Maplesoft

  1. MaplePrimes A Web community dedicated to sharing experiences, techniques, and opinions about Maple
  2. Application Center Featuring over 2350 applications contributed by the Maplesoft user community
  3. Maple T.A. Content CenterThousands of freely available Maple T.A. questions.
Matlab is a Scientific Computation System developed maintained and distributed by Mathworks http://www.mathworks.com/. Matlab is available in Wilfrid Laurier University labs.

  1. Matlab tutorial links from MathWorks
  2. A Partial List of On-Line Matlab Tutorials and Matlab Books
No prior knowledge of Maple or Matlab is necessary. Maple and Matlab tutorials will be offered, as part of the course.

Introductory 3-hour Maple and Matlab tutorials are scheduled for Saturday January 9, 2016.

Additional Maple and Matlab tutorials will be scheduled as needed.

Class Schedule, Winter Semester Timetable

              |     Mon     |     Wed     |    
              |  5:30-7:00  |  5:30-7:00  | 
              |    BA 202   |    BA 202   |   
______________|_____________|_____________|__
              |             |             |             |
Week 1:       |  Jan 04     |    Jan 06   | 
Week 2:       |  Jan 11     |    Jan 13   | 
Week 3:       |  Jan 18     |    Jan 20   | 
Week 4:       |  Jan 25     |    Jan 27   | 
Week 5:       |  Feb 01     |    Feb 03   | 
Week 6:       |  Feb 08     | Feb 10 (M)  | 
______________|_____________|_____________|_______________
              |
Reading Week  |   Feb 15 - Feb 19   N o   C o u r s e s
______________|___________________________________________

Week 7:       | Feb 22 (P1) |   Feb 24    |   
Week 8:       |  Feb 29     |   Mar 02    |   
Week 9:       |  Mar 07     |   Mar 09    |   
Week 10:      |  Mar 14     |   Mar 16    |   
Week 11:      |  Mar 21     |   Mar 23    |   
Week 12:      |  Mar 28     | Mar 30 (P2) |   
______________|_____________|_____________|__
              |             |             |

Course Requirements/Student Evaluation