Vancouver Island University
Department of Mathematics
Instructor Dr. Lev V. Idels
MATH -370: Elementary Numerical Mathematics
Spring 2020
General Course Information
Elementary techniques of numerical solution of mathematical problems: solution of algebraic equations, finite differences, interpolation, systems of equations, numerical differentiation and integration, curve-fitting by splines, and numerical methods for initial-value problems. (3:0:0)
Prerequisite: Six credits of 200-level Mathematics courses (excluding Math 203). Additional prerequisites, depending on the topic to be studied, may be in effect.
Course objectives:
Topics (Tentative)
Prelude. Error Analysis. Algorithms and Convergence. Numerical Methods for Nonlinear equations.
Assignment & Homework #1.Due Mon Feb 3 2014
Numerical approximation of functions by simpler computational building blocks (for example - polynomials and splines). Curve fitting.
Assignment & Homework #2. Due March 2
Numerical differentiation and integration (Richardson, Romberg and Gaussian Methods).
Assignment & Homework #3. Due March 19
Numerical solutions of ordinary differential equations and boundary value problems.
Assignment & Homework #4. Due March 31
Numerical Methods for Linear Algebra. Iterative techniques. Ill-conditional Systems.
Assignment & Homework #5. Due April 14
No textbook is required for this course. Lecture notes will not, in general, be provided.If you choose to take this class, you’ll need to attend. Don’t decide to take this class without committing yourself to attending each and every class.
Grading:
40% 5 Assignments & Homework
20% Midterm Test March 19
40% Final exam
Warning:
In the case that the completed assignments of two students are found to be principally copied from each other, the corresponding assignments will not be counted for each of the two students involved, and the cases have to be reported to the university for penalty according to the university's regulations
Class etiquette: Use of cell phones (including text messaging, answered or unanswered ringing etc.), laptops, pagers, Blackberries and most other electronic gizmos during class is highly inappropriate and disrespectful to both the instructor and fellow students. Chit chat with neighbors, even when whispered, is equally unacceptable.
Office: Building: 359
Room: 204
Ph: 7533245 Local 2429
Office hours: TBA or if you need to see me outside of the announced office
hours, please set up an appointment with me, either by speaking to me before or
after class, or by sending me an email message (include "MATH
370 in the subject line, please).
E-mail:
lev.idelsl@viu.ca
Webpage:
http://web.viu.ca/math/lev.html
ENJOY THE COURSE!