Course Instructor |
|
Name: |
Yurai Núñez Rodríguez |
Email: |
yurai [at] cs.queensu.ca |
Website: |
|
Office hours: |
Wednesdays 4:00pm to 6:00pm, at Goodwin Hall 533. For other hours feel free to contact me by email. I am also available for answering questions right after every session or anytime you see me around. Notice: if you come to my office hours after 5pm, you may find the hallway door closed. Please, call my office phone ext: 74671, or if you know in advance at what time you are coming, write me an email and I will open the door for you at the requested time. |
Teaching Assistants (2) |
|
Name: |
Tony Kuo |
Email: |
kuo [at] cs.queensu.ca |
Office hours: |
Thursdays 1:00pm to 2:00pm, at Goodwin Hall 621 |
Name: |
Hung Tam |
Email: |
tam [at] cs.queensu.ca |
Office hours: |
Thursdays 4:00pm to 5:00pm, at Goodwin Hall 627 |
Course Description |
|
One of the main challenges when using computers to solve mathematical problems is that often there is no analytical solution or there is one but it is too complicated. Consequently, no simple formula can be implemented to solve such problem. Moreover, standard computer architectures only allow for finite precision computations, which make it harder to simulate phenomena from our continuous world, even in the presence of analytical solutions. In order to test, implement, and analyze various numerical techniques, we will use MATLAB as an interactive tool and programming language. For a list of those topics that will be covered see our tentative weekly schedule. |
Prerequisites |
|
CISC 101* or 121*; MATH 111 and 121 or equivalents. (Programming, Algebra and Calculus). Note: If you are taking MATH 272* you are excluded from this course. |
Goals |
|
|
Our approach |
|
|
Bibliography |
|
Textbook |
G. Recktenwald, Numerical Methods with MATLAB: Implementation and Application, Prentice Hall, 2000. -This book can be bought from campus book store. Used copies may also be available as it has been used as textbook for this course over the last 3 years. A copy is available in reserve at Douglas library for a 3-hour sign out. |
Other books |
C. B. Moler, Numerical Computing with MATLAB, SIAM, 2004. -This book is free to download from the Mathworks website . A hard copy is available in reserve at Douglas library for a 3-hour sign out. S. C. Chapra, Applied Numerical Methods with MATLAB, McGraw-Hill, 2006. R. L. Burden, and J. D. Faires, Numerical Analysis, 7th Ed., Brooks Cole, 2000. S. M. Dunn, A. Constantinides, and P. V. Moghe, Numerical methods in Biomedical Engineering, Elsevier Academic Press, 2005. |
Other Resources |
|
|
Assessment and Evaluations |
|
The grading scheme will be:
|
Academic integrity |
|
Five core fundamental values: honesty, trust, fairness, respect
and responsibility (as specified by the
Faculty Academic Regulation 1) |
Tentative Weekly Schedule |
||||
Week |
Date |
Topics |
Evaluations |
|
1 |
Sept, 10 - Sept, 14 |
Introduction, MATLAB, Floating point numbers |
|
|
2 |
Sept, 17 - Sept, 21 |
Error analysis, Approximations, Taylor series |
|
|
3 |
Sept, 24 - Sept, 28 |
Root-finding |
Quiz 1 |
|
4 |
Oct, 01 - Oct, 05 |
Root-finding (cont.) |
|
|
5 |
Oct, 08 - Oct, 12 |
Linear systems of equations, Factorization of matrices, Condition number |
|
|
6 |
Oct, 15 - Oct, 19 |
Polynomial interpolation, |
Quiz 2 |
|
7 |
Oct, 22 - Oct, 26 |
Cubic splines, Hermite interpolation |
Assignment 1 is due |
|
8 |
Oct, 29 - Nov, 02 |
Curve fitting |
|
|
9 |
Nov, 05 - Nov, 09 |
Numerical Quadratures |
Quiz 3 |
|
10 |
Nov, 12 - Nov, 16 |
Numerical Quadratures (cont.) |
Assignment 2 is due |
|
11 |
Nov, 19 - Nov, 23 |
Ordinary Differential Equations |
|
|
12 |
Nov, 26 - Nov, 30 |
TBA |
Quiz 4 |