Instructor: |
Monty (or William)
McGovern
Office: Padelford C-450 Phone: 206-543-1149 Email: mcgovern@math.washington.edu Office Hours: M 1:30, Th 1:30 and by appointment TA Office: Padelford C-115 Office Hours: T 11:30, W 12:30 and by appointment |
Lectures: |
Monday-Friday, 10:30-11:20 a.m., Haggett Hall DS005 |
Required Texts: |
Introduction to Linear Algebra by Johnson, Riess, and Arnold (5th ed., Addison-Wesley, 2002), and Calculus: One and Several Variables by Salas and Hille (10th ed., Wiley, 2007) |
Prerequisites: |
2.0 in Math 135 or the equivalent. |
Exams: |
1st Midterm: Friday, April 23, in
class. |
Grading: |
Your course grade will be based on homework, two midterms, and a final, each of these ingredients accounting for 1/3 of the final grade. Assignments will be given weekly (see the schedule below), and all problems turned in will be graded this term. If you must miss a test due to illness or emergency, I would very much appreciate advance notice. In all tests you may use two letter-sized pages (one sheet front and back of notes in your own handwriting). |
Incompletes and Drops: |
The grade of Incomplete will be given ONLY if a student has been doing satisfactory work until the end of the quarter and then misses the final exam for a documented illness, religious reason, or family emergency. |
What to Expect: |
This quarter we will change direction from Math 135 and spend the greater part of our time on linear algebra, a subject which seems at first glance to have nothing to do with calculus but in fact has many deep connections to it. It is also every bit as useful and applicable as calculus. Some time after the middle of the term we will return to Salas-Hille and finish up the material on multivariable calculus. |
Due: | Problems: |
Apr 2 |
Exercises 1.2.26-29, 49-51: read sections 1.1-1.3,1.5-1.6 |
Apr 9 |
Exercises 1.6.26,28; 1.7.28-30; 1.8.3,5; 1.9.19: finish
Chapter 1 and read 3.1-3.3 |
Apr 16 |
3.3.20; 3.4.21-23; 3.5.31,32; show that R^n is not the union
of m proper subspaces for any m: finish Chapter 3 |
Apr 23
|
study problems, first midterm: 1.2.30-33; 1.7.31-33;
3.3.31-33; 3.8.7-9; 4.1.7-10: read 4.1-4.6,6.3
|
Apr 30 |
4.4.4.13,14; 4.5.22; Salas-Hille 15.3.25, 15.4.15,16: skim
Chapter 5 of Johnson-Riess-Arnold and read 15.1-15.4 of Salas-Hille
|
May 7 |
Salas-Hille 15.4.58; 15.6.24; Project 15.6 #1,2; 16.2.40:
read 15.5-16.3 |
May 14 |
16.4.15,36; 16.5.22; 16.6.28; show for a fixed matrix A and
vector b that the minimum value of ||Ax - b||^2 satisfies A^T A x =
A^T b; finish Chapter 16 and read 17.1-3
|
May 21
|
study problems, second midterm: Johnson-Riess-Arnold 3.8.11, SH
16.3.17,19; 16.4.19-21; 16.7.9-11; 17.4.17,18: finish Chapter 17
|
May 28
|
SH 17.5.1,5; 17.7.40,51; find the volume V_n of the
n-dimensional unit ball B_n, treating the cases of even and odd n
separately: read 18.1-3
|
Jun 4
|
study problems, final: JRA 3.3.31,33; SH 16.9.6-8; 17.5.6-8;
17.9.15-17; 18.5.18-20: read 18.5
|