INTRODUCTION TO SCIENTIFIC COMPUTATION
CP315 FALL 2004 WLU

Course Description

Scientific Computation can be described as the use of numerical methods to solve specific 
problems in engineering and other areas. The course provides an introduction to various methods 
and algorithms in Scientific Computation. Understanding of the material will be solidified 
through programming in C and Maple. Several applications will be analyzed in detail.  

Prerequisites   CP104, MA103, (or MA110*), MA104, MA122, MA205

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

Textbook

Applied Numerical Methods 
for Engineers and Scientists
by Singiresu S. Rao 
ISBN: 0-13-089480-X
Publisher: Prentice Hall
Copyright: 2002

Textbook Support Web Site:
http://www.prenhall.com/rao

Course Website:
http://sauron.wlu.ca/kotsireas/teaching.html

Fall Semester Timetable

              |    Mon     |    Wed     |    Fri     |
              | 1:30-2:20  | 1:30-2:20  | 1:30-2:20  |
              |   BA 111   |   BA 111   |   BA 111   |
______________|____________|____________|____________|_____
              |            |            |            |
Week 1:       |  Sep 13    |   Sep 15   |    Sep 17  |
Week 2:       |  Sep 20    |   Sep 22   |    Sep 24  |
Week 3:       |  Sep 27    |   Sep 29   |    Oct 1   |
Week 4:       |  Oct 4     |   Oct 6    |    Oct 8   |
Week 5:       |  Oct 11*   |   Oct 13   |    Oct 15  |
Week 6:       |  Oct 18    |   Oct 20   |    Oct 22  |
----------------------------------------------------------
Week 7:       |  Oct 25**  |   Oct 27   |    Oct 29  |
Week 8:       |  Nov 1     |   Nov 3    |    Nov 5   |
Week 9:       |  Nov 8     |   Nov 10   |    Nov 12  |
Week 10:      |  Nov 15    |   Nov 17   |    Nov 19  |
Week 11:      |  Nov 22    |   Nov 24   |    Nov 26  |
Week 12:      |  Nov 29    |   Dec 1    |    Dec 3   |
              |  Dec 6***  |            |            | 
______________|__ _________|____________|____________|____
              |            |            |            |
* Thanksgiving, no classes
** Midterm Examination
*** Make-up class for October 11, Thanksgiving

Notes/Overheads

Lecture Topics

nonlinear equations systems of nonlinear equations systems of linear equations matrix eigenvalue problems Fast Fourier Transform

interpolation curve fitting numerical differentiation numerical integration optimization

ordinary differential equations initial-value problems boundary-value problems partial differential equations Finite Elements

Software  

Maple is a Computational Algebra System that allows the user to perform symbolic and numeric computations, visualization, experimentation and much more. Maple will be used extensively in the course assignments as well as the Term Project. Maple is being developed maintained and distributed by Maplesoft. Maple is available in Wilfrid Laurier University labs and the latest release of Maple, Maple 9.5, can also be obtained individually through the Maple Adoption Program.

Course Requirements

• Assignments:
  • Assignment 1 due date: Wednesday, October 20, 2004
  • Assignment 2 due date: Monday, November 22, 2004
  • Late assignments will be marked with 0.
• Midterm Examination: Monday, October 25, 2004, in class.
• Term Project: All students enrolled in CP315 are required to prepare a Term Project.
  

  ---

  Term Project Topic: 
  
  		Nonlinear Optimization of functions of several variables. 
  
  You will have to implement several methods for performing optimization 
  of functions of several variables and test your implementations with 
  specific examples. Self-contained descriptions of the methods and 
  worked out examples as well as exercises are provided in the
  file Term Project files
  This file is called CP315TermProject.tar.gz 
  To unpack the file
  CP315TermProject.tar.gz correctly, 
  ftp the file on a unix server and first do:
  
                          gunzip CP315TermProject.tar.gz
  and then do:
                          tar xvf CP315TermProject.tar
  
  this will extract the directory CP315TermProject with 24 pdf files inside.
  
  You need to form groups to work on the project. As soon as you form the
  groups, send me e-mail with the names of the group members. Each group
  should have no more than 4 people.
  
  The due date for the term project will be in early December. Each group
  will be required to do a demonstration of the term project, in December 
  as well. The exact dates will be announced in class. 
  Each group is expected to put together a design document for the term project. 
  Details on the contents of the design document will be given in class.
  

• Project Specifications

Student Evaluation

• The 2 assignment marks will account for 30% of the course grade.
• The midterm examination mark will account for 30% of the course grade.
• The term project mark will account for 40% of the course grade.
• The course grade will be computed by scaling appropriately the 4 marks (2 assignments + midterm + term project).