Lecture Slides

There are various lecture slides associated with the course. They were developed during the Spring of 2010 and are intended to deliver important bulk concepts while avoiding the need to write down 'every little thing.' Specifically, the slides address:

1. Definitions that are not useful for me to write and students to rewrite during lecture. 2. Derivations that will never need to be reproduced but need to be communicated quickly because they lead to important consequences. 3. Derivations that will need to be reproduced and have been recorded for clarity.

Listed in each slide set are:

   Associated Section/Pages from EK.AEM
   Associated Lecture Notes
   Associated Homework Assignments

Linear Algebra and its Applicationsby Peter D. Lax

Lecture Notes

There is a set of lecture notes associated with the course. They were developed during the Fall of 2008 through the Spring of 2009 and are intended to outline key-points, objectives and goals from the text in the order we cover them. Listed in each set are:

   Associated Sections/Pages from EK.AEM
   Suggested Problems from EK.AEM
   Brief Outline of Lecture Talking Points
   Lecture Objectives
   Lecture Goals  

Assignments

The assignments for this course have reached a steady-state. Consequently, solutions are often available through students who have taken the course in the past. Since these resources might not be available to all students, I have drafted a set of solutions to these homework assignments which I make available through this site. These solutions were, more or less, finalized during the Spring of 2010 and represents the end of an evolution starting around 2006. Outside of the lecture itself, these homeworks and solutions represents some of the oldest parts of the course and many of the ancestors can be found on older ticc pages.

In the past the homeworks tended to have a good deal of discussion providing context to a problem so that both the mechanics and concepts could be gleaned. However, after talking with some students and course reviews I decided to move the commentary to the solutions in favor of a more streamlined problem statement. It is unclear whether this latest incarnation is 'better' than the past but what is clear is that they won't be regressing unless someone else wants to revamp them. If you want to see the previous versions then visit the older ticc pages. If you find any typos in these solutions then I would appreciate you letting me know. They are pretty clean but they could always be `cleaner.'

With that said, I must make emphasize the following point:

     Caveat Emptor : We will work from these problems and since solutions are readily available it is up to the individual user to make sure that they are LEARNING the material. If you buy into a program of procrastination followed by rapid and thoughtless recreation then you may find an inadequate product, which cannot be returned. 

     Graphics for Homework 1
     Geometry of Problem 2 System 1
     Geometry of Problem 2 System 2
     Geometry of Problem 2 System 3
     Geometry of Problem 2 System 4
     Geometry of Problem 2 System 5
     Interpolated Parabolas of Problem 4  Set 1
     Interpolated Parabolas of Problem 4  Set 2
     Geometry of Least Squares Problem of Problem 4  Set 2
     Interpolated Parabolas of Problem 4  Set 3

Fourier Transform

Homework 3 - Note : I have just noticed a pesky typo. Equation (2) from the assignment, (26) from the solutions, should read l_1 u(a) + k_1 u'(a) = 0 and NOT l_1 u(a) + k_1 u'(b) = 0

Exams

Exam I

Exam I will be held on March 1st in class. There will be no notecards or calculators. The exam will have five required questions and contain material outlined in the following review:

The following exams with solutions are posted for your review.

    Exam I -  Statistics
    Mean = 37.15 (74,31%)
    Median = 38 (76%)
    Mode = 47 (94%)
    A's = 34, B's = 17, C's = 24, D's = 18, F's = 25, Total Number of Exams  = 118
    A's = 29%, B's = 14%, C's = 20%, D's = 15%, F's = 21 %

Exam II

Exam II will be held on April 16th in class. There will be no notecards or calculators. The exam will have five required questions and contain material outlined in the following review:

The following are the results of Q+A's from previous semesters:

The following exams with solutions are posted for your review.

    Exam II -  Statistics
    Mean = 36.5 (72.5%)
    Median = 37.5 (75%)
    A's = 9, B's = 32, C's = 38, D's = 19, F's = 16, Total Number of Exams  = 114
    A's = 8%, B's = 28%, C's = 33%, D's = 17%, F's = 14 %

Final Exam

The final exam will be held Saturday May 8th from 7:00pm-9:00pm. The classes will be testing in the following rooms:

   Class    : Meeting Time    : Testing Room   : Proctor 
   MATH348B : 11:00am Section : Petroleum Hall : Jennifer Strong
   MATH348C : 1:00pm Section  : CT 102         : Scott Strong
   MATH348D : 2:00pm Section  : CO209          : Doug Poole

Since we will be in different rooms it is very important that you go to the room associated with your section.

There will be no notecards or calculators. The exam will have ten required questions and contain material outlined in the following review:

The following is an old 50 minute PDE exam, which should give you some idea of the content and structure of the PDE portion of the exam.