| Day |
Sect
|
Topic
|
Assigned
or Due
(and more on what you need to know from
lecture)
|
Fri 9/2
|
1.1
|
calculus
problems revisited
|
Assignment #1 (PDF) |
Mon 9/5
|
|
Labor Day
|
no class |
Wed 9/7
|
|
cont
|
|
Fri 9/9
|
|
Taylor's theorem |
|
Mon 9/12
|
|
Taylor examples
|
A#1 DUE
|
Wed 9/14
|
|
cont
|
A#1 DUE
Assignment #2 (PDF)
|
Fri 9/16
|
|
cont; sqrt method
that uses how computers represent numbers
|
An awkward first method
for computing square root using only + and ∗ (PDF)
plotpolysqrt.m
edsqrt.m
|
Mon 9/19
|
1.3 |
computer
representation of numbers |
from
solutions to A#1:
bisectP1.m
midpointP2.m
from in-class session:
class19sept.m
|
Wed 9/21
|
1.5
|
cont.; and another
Taylor example
|
|
Fri 9/23
|
2.1
|
Horner's rule and
Matlab/Octave functions
|
A#2 DUE
example from in class:
horner.m (save as "horner.m"
in current directory; type ">> help horner" to start)
|
Mon 9/26
|
|
Bueler away
online lecture = view PDF slides
|
How to put a polynomial
through points (PDF)
from the slides:
newt4.m
Assignment #3 (PDF)
|
Wed 9/28
|
|
Bueler away
cont
|
same; please start
doing Assignment #3 |
| Fri 9/30 |
|
summary of what
appears on "How to put ..." slides, and the assignment |
|
| Mon 10/3 |
2.4 |
linear interpolation |
A#3 DUE
from solutions to A#3:
randsevenpoly.m
smoothpolyapprox.m
|
| Wed 10/5 |
|
cont
|
Assignment #4 (PDF)
|
| Fri 10/7 |
2.5
|
trapezoid rule
|
|
| Mon 10/10 |
|
cont
|
from in-class
session:
class10oct.m
|
| Wed 10/12 |
3.1
|
bisection
|
from in-class
session:
mybisect.m |
| Fri 10/14 |
3.2 |
Newton's method
|
A#4 DUE
from in-class session:
class14oct.m
from solutions to A#4:
refinetrap.m
mybisect.m
|
Mon 10/17
|
3.5
|
error formula for
Newton's method
|
Assignment #5
(PDF) |
Wed 10/19
|
3.6 |
convergence of
Newton's method |
|
Fri 10/21
|
|
cont
|
|
Mon 10/24
|
3.3, 3.7
|
how to stop Newton;
square roots for real
|
from in-class
session:
fastsqrt.m
Midterm exam study guide
(PDF)
|
Wed 10/26
|
|
review;
square roots cont.
|
A#5 DUE
(make yourself a copy
of what you turn in; I will distribute solutions immediately)
from solutions to A#5:
mynewt.m
exer5newt.m
secant0.m
nthpow.m
nthroot.m
|
Fri 10/28
|
|
MIDTERM EXAM
(in class)
|
MIDTERM EXAM
(in class)
Midterm exam study guide
(PDF) |
Mon 10/31
|
3.8 |
secant method
|
from in-class
session:
trysecant.m
notes:
(1) Subsection 3.10.3 shows secant method has order of
convergence p = (1+sqrt(5))/2 = 1.618...
(2) Subsection 3.10.5 shows how to combine secant method with
bisection to get a "hybrid" method which is robust and fast.
(3) Matlab/Octaves's fzero is a hybrid called "Brent's method" like that in subsection 3.10.5.
|
Wed 11/2
|
4.1
|
polynomial
interpolation
|
Assignment #6 (PDF)
|
Fri 11/4
|
4.3
|
error in polynomial
interpolation
|
from in-class
session:
class4nov.m
|
Mon 11/7
|
|
cont
|
from in-class
session:
chebdemo.m
|
Wed 11/9
|
4.2 |
Newton's divided
differences |
|
Fri 11/11
|
5.1, 5.2 |
what definite
integrals mean; improving the trapezoid rule |
A#6 DUE
from solutions to A#6:
allsolve.m
polyget.m
|
Mon 11/14
|
5.3 |
Simpson's rule
|
|
Wed 11/16
|
5.4
|
cont; midpoint rule
|
Assignment #7 (PDF)
|
Fri 11/18
|
|
cont
|
from in-class
session:
simptrapcos.m
|
Mon 11/21
|
|
Romberg integration
|
|
Wed 11/23
|
|
cont
|
A#7 DUE
from solutions to A#7:
simpfres.m
from in-class session:
class23nov.m
trap.m
romberg.m % calls
trap.m
fastromberg.m
|
Fri 11/25
|
|
Thanksgiving break
|
no class
|
Mon 11/28
|
7.1, 7.2
|
linear systems and
Gaussian elimination
|
Assignment #8 (PDF)
from in-class session:
class28nov.m |
Wed 11/30
|
7.3
|
cont; operation
counts
|
from in-class
session, but completed:
ge.m
|
Fri 12/2
|
|
cont.
|
|
Mon 12/5
|
|
partial pivoting
|
A#8 DUE
from in-class session, but completed
(this code *does* do partial pivoting):
gelessnaive.m
|
Wed 12/7
|
6.1
|
ODE IVP
|
A#8 DUE
REVISED DATE!
from solutions to A#8:
trisolve.m
gerrr.m
rombergmod.m
|
Fri 12/9
|
2.3, 6.2
|
review for final,
and
Euler's method
|
Final Exam study guide (PDF) |
Mon 12/12
|
|
cont
|
last day of instruction
from in-class session:
myeuler.m |
Fri 12/16
|
|
FINAL EXAM
10:15am-12:15
(in-class)
|
FINAL EXAM
10:15am-12:15
(in-class; no notes; no book; no calculator) |