Penn Math Math 312: Linear Algebra Fall 2012

Faculty: Jerry L. Kazdan
    Telephone: (215) 898-5109
    email: kazdan AT
    Office Hours: Wed. 10:30-11:30   (and also by appointment) in DRL 4E15
TA: Soumyashant Nayak
    Telephone: (215) 573-9857
    email: nsoum AT
    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 Bretscher Linear 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


Course and Homework Grading

Some Applications Using Linear Algebra
Matrices as Maps and Symmetries
Linear maps from R2 to R3 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:

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