University of California
Department of Applied Science
Numerical Methods : 210A (Fall Quarter
2004)
CRN: 63367
Room 211 Wellman
Tu, Th 12.10 to 1.30
Course Description:
A study of numerical methods to model and solve engineering problems using a
computer. Students learn to analyze and interpret the numerical solutions
obtained.
Topics include roots of algebraic and transcendental equations, linear
systems, interploation, approximation, curve
fitting, numerical differentiation and integration, and ordinary differential
equations.
The MATLAB programming language is encouraged. Some prior programming experience
in any language is preferred but not required. MATLAB will not be taught in
the class, but extensive tutorial information is available on the class web
site. MATLAB coding assistance will NOT be available.
Textbook:
Myron B. Allen III and Eli L. Issaacson, Numerical Analysis for Applied Science, WileyInterscience, 1998, ISBN: 047552666
A Useful Reference:
J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, SpringerVerlag, New York 1980.
Topics Covered
210A: Chapters 0, 1, 2, 3, 5, 6, 7 plus MATLAB
(some material is posted on the Web. This will not be taught in the class)
210B: Chapters 0, 4, 8, 9 plus supplemental
material
Prerequisites:
See catalog
Instructor:
Dr. Rao Vemuri, 18 Hertz hall,
Livermore, rvemuri@ucdavis.edu
The instructor comes to Davis only on Tu and Th. Ask for appointment or contact him by email
Homeworks:
Each week, a set of about 10 homework problems will be assigned.
The homework will be due the following week in class. Homework solutions will
be posted. Late homework will not be accepted. No exceptions.
For full credit, your handins MUST be legible and wellorganized. Treat each
homework assignment as a mini takehome examination. Do them without the
assistance of others. You can look at other text books, but not help each
other.
Exams:
One inclass midterm examination and one final will be given.
Course Topics:
 Module 0: Students are strongly
advised to find out the computational infrastructure available on
campus. Learn
MATLAB programming using notes online. Learn about
structured programming using MATLAB. Program logic and flow control
concepts, subroutines and functions, recursion, I/O control, basic data
plotting routines.
 Linear
Algebra Tutorial 1
 Linear
Algebra Tutorial 2
 Linear
Algebra Tutorial 3
4.
ATutorial introduction to MATLAB
5.
MATLAB
Example1
6.
MATLAB
Example 2
7.
Programming
with MATLAB
Interpolation,
Extrapolation
and Approximation
Curve fitting, interpolation and extrapolation,
linear regression, polynomial regression
·
Module 3 (Read Chapter 2)
Direct
methods for Linear Systems and Error Analysis
Solution of linear systems using Gauss elimination
and LU decomposition, matrix inversion
 Module
4 (Read Chapter 3)
Solution of Nonlinear equations
Roots of equations using bisection,
fixed point iteration, NewtonRaphson, Secant
methods
Eigenvalue
problems
Grading:
Homeworks 60 % (about 35%
for paperpencil exercises, 25% computer exercises)
Exam #1 20 %
(will be held late in the quarter, probably closed book to simulate
the Comprehensive Examination)
Final 20%
MATLAB^{®} is a trademark of The MathWorks,
Inc.
rvemuri@ucdavis.edu
Last updated: 11 September 2004
