Math 312: Linear Algebra |
Fall 2012 |
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Faculty: Jerry L. Kazdan

Telephone: (215) 898-5109

email:kazdan AT math.upenn.edu

Office Hours: Wed. 10:30-11:30 (and also by appointment) in DRL 4E15TA: Soumyashant Nayak

Telephone: (215) 573-9857

email:nsoum AT math.upenn.edu

Office Hours: Wed. 2-4 in DRL 4N49 (and by appointment) in DRL 3C15.Linear Algebra is at the heart of many diverse applications of mathematics. Our goal is to present both the major ideas and technical skill.

To be successful in this course, you should be present for all class meetings and plan to take good notes.

Text:Otto BretscherLinear Algebra with Applications, 4th edition, Pearson (2009), ISBN-10: 0136009263, ISBN-13: 9780136009269

Note that a Blackboard site has been arranged for the course. You may find it useful for communication.

Prerequisites & Review Material:Math 240 or equivalent.

To remove rust from your backgroung I suggest doing the linear algebra problems from recent Math 240 Final Exams

Notes:

Some Applications Using Linear Algebra

Matrices as Maps and Symmetries

Linear maps from R^{2}to R^{3}are just linear equations.

Some Maple Examples

inner products & least squares,

Example: Fourier Series, and Fourier Series for f(x)=x

Markov-Google: Dr. Jauregui's slides (Oct.25, 2012)

Homework and Exams from Dr. Jauregui's Section of Math 312

Quadratic polynomials Max-Min-Saddles

Supreme Court A serious linear algebra application to an analysis of Supreme Court Decisions

A large collection of Linear Algebra Problems

Homework Assignments:

- Set 0 (This will not be collected.)
- Set 1 Due: Thurs., Sept. 13 in class Solutions
- Set 2 Due: Thurs., Sept. 20 in class Solutions
- Set 3 Due: Thurs., Sept. 27 in class Solutions
- Set 4 Due: Thurs., Oct. 4 in class Solutions
- Set 5 Due: Thurs., Oct. 18 in class Solutions
- Set 6 Due: Thurs., Oct. 25 in class Solutions
- Set 7 Due: Thurs., Nov. 1 in class Solutions
- Set 8 Due: Thurs., Nov. 8 in class Solutions
- Set 9 Due: Thurs., Nov. 27 in class Solutions
- Set 10 Due: Never. Solutions

Exams:There will be three in-class exams, from 12:00-1:20.You may always use one 3"×5" card withhandwrittennotes on both sides

- Exam. 1, Oct. 11 Original, Compressed, Solutions
- Exam. 2, Nov. 15 Original, Compressed Solutions
- Exam. 3, Dec. 6 Original, Compressed Solutions
- No Final Exam
- List of Exam Scores
- Final Course Grade Histogram