CP315 SCIENTIFIC COMPUTATION, WINTER 2012, 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

Course Textbook     

Numerical Analysis, 2/E
Timothy Sauer, 
George Mason University
ISBN-10: 0321783670
ISBN-13:  9780321783677
Pearson 2012

Textbook Support Web Site


Course Topics

  1. 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), 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

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. Matlab tutorials from Mathtools.net
  3. Matlab summary
  4. 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.

Class Schedule, Winter Semester Timetable

              |     Mon     |     Wed     |    Fri      |
              |  8:30-9:20  | 8:30-9:20   | 8:30-9:20   |
              |    N1057    |    N1057    |   N1057     |
______________|_____________|_____________|_____________|_____
              |             |             |             |
Week 1:       |             |    Jan 04   |   Jan 06    |
Week 2:       |  Jan 09     |    Jan 11   |   Jan 13    |
Week 3:       |  Jan 16     |    Jan 18   |   Jan 20    |
Week 4:       |  Jan 23     |    Jan 25   |   Jan 27    |
Week 5:       |  Jan 30     |    Feb 01   |   Feb 03    |
Week 6:       |  Feb 06     |    Feb 08   |   Feb 10    |
Week 7:       |  Feb 13     |    Feb 15   |   Feb 17    |
______________|_____________|_____________|_____________|______
              |
Reading Week  |   Feb 20 - Feb 24   N o   C o u r s e s
______________|_____________________________________________
              |             |             |             |
Week 8:       |  Feb 27     |   Feb 29    |   Mar 02    |
Week 9:       |  Mar 05     |   Mar 07    |   Mar 09    |
Week 10:      |  Mar 12     |   Mar 14    |   Mar 16    |
Week 11:      |  Mar 19     |   Mar 21    |   Mar 23    |
Week 12:      |  Mar 26     |   Mar 28    |   Mar 30    |
              |  Apr 02     |             |             |
______________|_____________|_____________|_____________|______
              |             |             |             |

Course Requirements/Student Evaluation