Math 310 Numerical Analysis

Fall 2004, Ed Bueler

Ed Bueler: felb@uaf.edu, x7693
Office: Chapman 301C (Hours)

Class times and rooms:
     MWF  10:30am--11:30am
     Chapman 104

Text: Leader, Numerical Analysis and Scientific Computation

Link to Syllabus Here

ON RESERVE IN RASMUSSEN (24 hour checkout):
  • Burden & Faires, Numerical Analysis
  • Cheney & Kincaid, Numerical Mathematics and Computing
LINKS:

 Schedule:  (version 12/12/04)

Day

Text Section
Topic (and a few Matlab codes)
Assigned or Due
F 9/3

introduction, syllabus, overview
Assignment #1
M 9/6
no class
(Labor Day)

W 9/8
1.1
bisection

F 9/10

review of three theorems in calculus
M 9/13
ML 1.1
intro to MATLAB
W 9/15
1.2
Newton's method
A#1 due (CHANGE)
F 9/17
1.2
cont
Assignment #2
M 9/20
ML 1.2
more MATLAB: inline functions, m-files, scripts, functions

W 9/22
1.3
fixed points
Assignment #3
A#2 due
F 9/24
1.4
Newton's method as fixed point iteration
mysqrt.m

M 9/27
1.4
convergence: linear, superlinear, and quadratic
W 9/29
1.4
cont.

F 10/1
1.7
finite precision A#3 due
M 10/4
1.8
Newton's method for systems
shownewtsys.m

W 10/6
1.8/2.1
cont
Assignment #4
F 10/8 2.1
Gaussian elimination
M 10/11
2.1/2.2/2.3
Gaussian elimination and LU decomposition using Matlab
A#4 due
W 10/13
2.1
cont
Assignment #5
F 10/15
2.2/2.3
LU decomposition

M 10/18

matrix algebra overview
baddet.m   CHANGED
gooddet.m

W 10/20
2.3 LU w partial pivoting
luexample.m
Assignment #6
F 10/22
2.4
Cholesky A#5 due
M 10/25
2.4
cont

W 10/27
handout tridiagonal systems
tri.m

F 10/29
review review for exam
M 11/1
4.1
polynomial interpolation
A#6 due  CHANGE!
W 11/3
MIDTERM MIDTERM EXAM in class CHANGE!
covers 1.1, 1.2, 1.3, 1.4, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4 (through page 133 only), handout on tridiagonal
histogram of scores
F 11/5
4.1
Lagrange's method; error in poly interp

M 11/8
ML 4.1
MATLAB polynomial tools
Assignment #7
W 11/10
4.1, 4.2
error cont.; piecewise-linear interpolation

F 11/12
4.2
piecewise-linear, cont.

M 11/15
4.3
cubic splines
A#7 due
W 11/17
4.4
cubic splines, cont.
Assignment #8
F 11/19
5.1
trapezoid, Simpson's (closed Newton-Cotes)

M 11/22
5.1
cont.,  midpoint (open Newton-Cotes)

W 11/24
5.1
cont.
YOUR PROJECT
A#8 due
F 11/26
no class
(Thanksgiving break)

M 11/29
5.1
cont.  (& skip 5.2)

W 12/1
5.3
Gaussian quadrature Assignment #9
F 12/3
5.3
Gaussian quadrature, cont.

M 12/6
6.2
Euler's method
Assignment #10
A#9 due
W 12/8



F 12/10
6.2/6.3 improved Euler's method, etc; stiffness
A#10 due
M 12/13
6.5 Runge-Kutta; some review
myerf.m
glint.m

W 12/15
no class
PROJECT DUE 5pm
   in my mailbox (Chapman 101)
REVIEW SESSION 7pm-8:30pm
   in Chapman 104

F 12/17
FINAL
FINAL EXAM 10:15am-12:15pm
covers sections 4.1, 4.2, 4.3, 4.4, 5.1, 5.3, 6.2 and some earlier

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