Day 
Sections 
Topic 
Assigned / Due 
T 8/29 

introductionbyexample 
Assignment #1 
Th 8/31 
1.1 
Matlab introduction; Taylor's theorem 

T 9/5 
2.1, 1.2 
Horner's method; order notation 

Th 9/7 
1.3 
real numbers on computers
worksheet on floatingpoint,
with solutions 
A#1 DUE
Assignment #2 
T 9/12 
2.2 
finite differences
class12sept.m 

Th 9/14 
2.3 
Euler's method 

T 9/19 
3.1, 3.2 
bisection; Newton's method 
A#2 DUE
Assignment #3 
Th 9/21 
3.8, 3.3 
secant method; stopping Newton
worksheet on deriving rootfinders,
with solutions 

T 9/26 
3.4, 3.7 
Newton: applications to reciprocal and square root 
A#3 DUE
Assignment #4 
Th 9/28 
3.5, 3.6 
Newton: theory and rates of convergence 

T 10/3 
3.9 
fixedpoint iteration 
A#4 DUE
Assignment #5 
Th 10/5 
4.1, 4.2 
polynomial interpolation
class5oct.m 

T 10/10 
4.3 
Lagrange error formula
worksheet on polynomial interpolation,
with solutions
class10oct.m 

Th 10/12 
2.4 
linear interpolation 
A#5 DUE
Assignment #6 
T 10/17 
4.6, 4.7, 4.8 
piecewise polynomial interpolation; splines
class17oct.m 

Th 10/19 
4.11 
least squares lines
linefit.m 
A#6 DUE 
T 10/24 

MIDTERM EXAM
review guide for Midterm Exam
solutions to Midterm Exam 
MIDTERM EXAM 
Th 10/26 
5.1, 2.5 
definite integrals; trapezoid rule 
Assignment #7 
T 10/31 
5.2 
an improved trapezoid rule
class31oct.m 

Th 11/2 
5.3 
Simpson's rule; related ideas
trapol.m
simpol.m 
A#7 DUE
Assignment #8 
T 11/7 
5.4, 5.6 
midpoint rule; Gaussian quadrature
worksheet on n=2,3 Gaussian quadrature,
with solutions 

Th 11/9 

Gauss cont. 
A#8 DUE
Assignment #9 
T 11/14 
[5.7, 5.8] 
gloss on Romberg integration and adaptive integration 

Th 11/16 
6.1, 6.2 
initial value problems for ODES; Lipschitz; existence & uniqueness; Euler method 
A#9 DUE
Assignment #10 
T 11/21 
6.3, 6.4 
analysis of Euler's method; better methods 

Th 11/23 

no class: Thanksgiving 
no class 
T 11/28 
6.5 
RungeKutta methods 
A#10 DUE 
Th 11/30 
7.1 
linear algebra
(class ends at 12:30pm because at 1:00pm I give a talk about Optimal solvers for partial differential equations in Chapman 106) 
A#10 DUE
Assignment #11 
T 12/5 
7.2 
Gaussian elimination, back substitution 

Th 12/7 
7.3, 7.4 
operation counts, partial pivoting, GE as LU
review guide for Final Exam 
A#11 DUE 
F 12/8 

A#11 DUE at NOON in my Chapman 101 box 
A#11 DUE at NOON 
M 12/11 

Ed has extra office hours 1pm4pm in Chapman 301C. 

T 12/12 

10:15am12:15pm FINAL EXAM
review guide for Final Exam 
FINAL EXAM 