|Math 312: Linear Algebra||Fall 2012|
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 4E15
TA: 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 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
- 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 with handwritten notes 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