Day |
Sections |
Topic |
Assigned / Due |
T 8/29 |
|
introduction-by-example |
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 floating-point,
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 root-finders,
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 |
fixed-point 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 |
Runge-Kutta 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 1pm--4pm in Chapman 301C. |
|
T 12/12 |
|
10:15am-12:15pm FINAL EXAM
review guide for Final Exam |
FINAL EXAM |