Information
Welcome to the Methods of Applied Math Website. This is where you will find important information and updates throught the quarter. Bookmark this page.
12/10/04
Two typos have come to light on the multivariable exam. Question 4 should have r(u,v) not r(u,t) and question 5 should read "a disk of radius 2".
This is a reminder to all students who are leaving the program. Please complete both a self-evaluation and a faculty/program evaluation. I would like your selvevaluation on Friday (Today!). You should have your portfolio ready for me by Friday also.
Students who are staying in the program should hand in their self-evaluation worksheet on Friday, but can bring their portfolio with them to their conference.
12/9/04
The Multivariable Final Exam is ready do download. It is due Friday at noon. Please remember to bring your self-evaluation worksheet with you also.
12/7/04
The Linear Algebra Final Exam is ready do download. It is due Thursday at noon.
12/7/04
The Differential Equations Final Exam is ready in the worksheets folder. Here is a link to the practice exam solutions. The Lay website has useful review exams for linear algebra. For multivariable calculus I recommend looking at the review exerces from Stewart: Ch 11 p. 831 25-29,35-36,47-59,51-54,59,60,66 and Ch 11 p. 911 13-28,35-37
12/2/04
I have now received the winter quarter room schedule so you may want to glance at the tentative week 1 schedule . Notice that we will now spend most of our life in Lab1 1059, so you may want to start packing you sleeping bags.
12/1/04
Please sign-up for an evaluation conference in Week 11 on the Evaluation sign-up list. I would like everybody to submit their portfolio to me by Friday of Week 10, so that I can read it before writing an evaluation. The contents required in your portfolio are listed in the worklist. I would also like everybody to complete a self-evaluation worksheet by Friday of Week 10. If you are leaving the program you should bring a formal self-evaluation and a faculty evaluation with you to your conference.
12/1/04
I have posted links to sign-up lists for the winter quarter math modeling project presentations and for the applications of applied math presentations. Please sign-up for both.
11/29/04
Welcome back from Thanksgiving Break.
I have prepared some information about modeling projects for next quarter which I would like you to start thinking about now. I have also included a list of math modeling books that I will place on closed reserve in the library. This list will grow.
11/10/04
The differential equations take-home test is posted.
It is due on Monday, Nov 15th at 9:30 am.
11/09/04
The multivariable test is posted in the Worksheets section of the website.
Please complete this as a takehome test. It is due this Friday, Nov 12th.
I will post the differential equations take-home test here on Wednesday afternoon
It will be due on Monday, Nov 15th at 9:30 am.
10/31/04
Here is more detailed information about what you should study for the tests this Thursday and Friday. You may bring a single sheet of formulas with you to the test.
- Linear Algebra
- Matrix operations (multiplication,transpose and inverse). Basic manipulations and the proofs of associated identities. eg (AB)-1=B-1A-1.
- Find the inverse of a 3x3 matrix using elementary row operations
- Know the Inverible Matrix Theorem
- Basic calculations involved in the Leontief input-ouput model (Ch. 2.6) and matrix transformations in computer graphics (Ch. 2.7).
- Nullspace/Columnspace/Basis/Dimension and Rank. Be able to calculate the basis vectors for spaces and understand the underlying theorems.
- Coordinate basis. Express a vector in terms of a nonstandard basis.
- Eigenvalues and eigenvectors. Find eigenvalues and eigenvectors for 2x2 and 3x3 matrices. Evaluate identities associated with eigenvalues. Use a basis of eigenvectors to diagonalize a matrix.
- Multivariable Calculus
- Vector Functions. Find paramatric expressions from cartesian equations and vice versa.
- Take derivatives and integrals of space curves relate these calculations to velocity and acceleration.
- Find the arclength and curvature of a space curve.
- Find the Frenet Frame (Tangent Normal and Binormal vectors) and express acceleration in this frame.
- Identify and construci parametric surfaces.
- Find level curves and surfaces for multivariable functions.
- Identify when the limit of a multivariable function exists.
- Take partial deriviatves and apply Clariaut Theorem to test the consistency of a partial differential equation.
10/30/04
I have posted three of the four texts for Winter Quarter in the list of
Class Texts. Now would be a good time to order them.
10/15/04
Here are some reminders:
10/10/04
The Feedback form for giving presentation feedback is posted in the Handouts section. Please read it prior to the presentation. You should complete one of these forms for each presenter and give it to them as soon as possible after their presentation.
9/28/04
The presentation guidlines are posted in the Handouts section. Please read these. Guidelines for presentation papers will be posted by the end of the week. If you need further clarification or advice on how to present please see me after class on Thursday or Monday.
9/27/04
Please signup for two presentations on the presentation signup form by the end of this week at the latest. Also remember to complete the Calculus Assessment as best you can for tomorrow.
In order to prepare for the first week of the program please look at the class texts so you can order your books early. Also check the schedule for meeting times and rooms. Please read the documents that appear in the handouts folder.
In this program we will be using making frequent use of technology.
In particular, all students should own a graphing calculator. We will also use
the computer graphing and algebra package Mathematica in the Computer Applications
Lab (CAL). Students have full access to Mathematica on campus, but if you wish to
complete the assigned Mathematica labs at home you are advised to purchase a
student version of the software. (Available in the Evergreen Book Store.)