matlab-enhanced Swiki= [View this PageEdit this Page (locked)Uploads to this PageHistory of this PageTop of the SwikiRecent ChangesSearch the SwikiHelp Guide]

Math 2605 Spring 2008, Calc III for CS

Please open the following document to get schedule of tests, coverage, and general course information such as grading policy:
CourseScheduleM2605Spring2008.pdf

FINAL EXAM is first period, Monday of Finals week, at 8AM, unfortunately. Location is same place as our lectures, in Skiles 202.
Test will cover through section 2 of chapter 6 (double integration with polar coordinates), which we did in class Tues.
Be sure also to look at the linearization of non-linear diffeq at the equilibrium points, where you take the jacobian to get the linear approxmiation. See the test 3's from previous semesters for examples, as well as section 3 of chapter 5. That did not make it on to our test three this semester, but is on the final.

Test3 spring08.pdf
Solutions to Test 3


SHORT REVIEW SESSION tonight (Apr 3) at 5:30, in our classroom(if available, might have to move if in use). Test 3 will cover what you were responsible for on quiz 3, plus ch 5 section 2 on diffeqs, plus just the idea of stability of linear systems based on eigenvalues from section 5.3, and the rough shape of trajectories based on eigenvalues. We DID NOT cover the part of section 5.3 on linearization of non-linear systems, for this test.

HERE'S QUIZ 3:
Quiz3 spring08.doc
Solutions to Quiz 3

NOTE: Quiz 3 is postponed until Wednesday, April 9. It will cover ch.4 sections 1-4 plus our review of complex numbers, and ch. 5 section 1.


Test 2 will cover from where test 1 left off through chapter 3. That is, it will cover through the material on Jacobians and Newton's method in ch 1, through chapter 3.

Test2 spring08.pdf
Solutions to Test 2
Quiz2 spring08.pdf
Solutions to Quiz 2
Test1 spring08.pdf
Solutions to Test 1
Quiz1 spring08.pdf
Solutions to Quiz 1



NOTE! Test 1 has been postponed until Monday
I MEANT FEB 11, not Feb. 13,
but will still just cover through section 7 of chapter 1 (on quadratic approximations and functions, and could include level surfaces in R3 which are only treated in the supplement). The rules are the same as for the quiz except you may have 5 sheets instead of 4.

INSTRUCTIONS FOR PROJECT SUBMISSION
InstructionsForProjectsSubmission.pdf

HERE IS THE FIRST COMPUTER PROJECT, based on some ideas about from chapter 0 involving parametric lines and reflections in R2:
PinballProject.pdf
Due date: March 6.
Here is a sample program I wrote in c, you can write yours in java or whatever, maybe this will help you see how it is done. I think this code did a few other things I was messing with not relevant to what your project asked for, like computing the average number of hits before escaping, etc. But you can look at this for what it's worth, if it helps.
Sample c code for Pinball Project
I'll be glad to help you with the math/programming details if you have trouble, but you have to figure out how to get java or c or matlab or whatever language you want to use going on your computer.

HERE IS THE SECOND PROJECT, on Jacobi's algorithm from chapter 3:
projectJacobi.pdf
For this and future projects, the JAMA matrix package is very useful if you are using Java to do matrix operations:
http://math.nist.gov/javanumerics/jama/

Here is the third project, on singular value decomposition from chapter 3:
projSVD1.pdf

NOTE 4 more projects added, last one going beyond where we are:
Here is another one on SVD:
projSVD2.pdf
Here is a project on finding eigenvalues/vects by power method (chapter 4):
POWERproject.pdf
Here is one on QR method from ch. 4:
QRproject.pdf
Here is project on Euler method for diffeq's from ch 5:
EulerMethod.pdf



QUIZ 1 is Monday, Jan. 28. Covers through section 1.4 (but as I said in class, will not cover level surfaces material from the supplement, we'll do that after the quiz). You can look back at quizzes from previous semesters for some idea of what to expect, except I think we had not gotten to tangent planes to a graph on those quizzes, so we are one section ahead.

YOU MAY HAVE 4 pages of cheat sheets, writing on front and back if you want to (so that is 8 sides), and a calculator (not a computer), but you will have to show all your work for it to count. No books.



Here is the text(chapters 0 - 6):
chap0 JE.pdf
chap1.pdf
chap2.pdf
chap3.pdf
chap4.pdf
chap5.pdf
chap6.pdf


Here are some solutions to exercises:
chap0sol.pdf
chap1s1-2sol.pdf
ch2s1sol.PDF
ch2s2sol.PDF
c3SOLNS.pdf

Here is some supplementary material:
DistanceBetweenLines.pdf
Curves supplement to chapter1 section3.pdf
LevelSurfaces supplement to chapter1 section4.pdf
QuadricSurfaces supplement to chapter1 section7.pdf
ConstrainedOptimization supplement.pdf
chap4sec1-3sol.pdf
chap4sec5-6sol.pdf
chap6sol.pdf
Complex1.pdf
complex2.pdf
Complex3.pdf
matrixetA.pdf