- (1/6) Welcome to math 307!
- (1/11) Here are scans of 1.1 and 1.2
- (1/22) The last two problems in week 3 homework were moved to week 4 homework.
- (2/1) Exam 1 information has been posted below.
- (2/17) The last two problems in week 7 homework were moved to week 8 homework
- (4/15) The JCF problems in homework 14 are not due since we didn't get a chance to cover it this week.
Math 307
Linear Algebra and Differential Equations - Spring 2023
Meetings: TR 1:30-2:45 pm Watanabe 420
Lecturer: Kenny Corea kcorea@[math.]hawaii.edu
Office Hours: MW 1:30-2:30, TR 12-1 Keller 402E
Announcements
Written Assignments
| Week | Problem Set | Due |
|---|---|---|
| 2 | 1.1 #2, 5, 6, 12, 14, 18, 21, 23, 27 (solutions) | 1/17 |
| 3 |
1.2 #6, 11, 12, 16, 18, 20, 22, 28, 30 1.3 #3, 5, 9, 11, |
1/24 |
| 4 |
1.3 #12, 18 1.4 #2-14 (solutions) |
1/31 |
| 5 |
1.5 #8, 10, 11, 12 1.6 #2, 4, 6, 10, 15 (solutions) |
2/7 |
| 6 |
2.1 #3, 7, 9 2.2 #3, 4, 7, 11, 13, 17, 20 (solutions) |
2/14 |
| 7 |
2.3 #4, 6, 10, 14, 17, |
2/21 |
| 8 |
2.3 #19, 20, 24, 26, 27 2.4 #1, 2, 3 (solutions) |
2/28 |
| 9 |
2.4 #8, 10, 12, 13, 17 2.5 #1, 3, 7, 8, 12, 15 (solutions) |
3/7 |
| 10 | 5.1 #3, 4, 9, 10-13, 20, 27, 28, 36 (solutions) | 3/21 |
| 11 | 5.2 #1, 3, 4, 6-14, 17, 22, 25 (solutions) | 3/28 |
| 12 | 5.3 #4, 6, 10, 11, 12, 16 (solutions) | 4/4 |
| 13 | 5.4 #1-6 (solutions) | 4/11 |
| 14 |
5.4 #8, 10, 17, 18, 23 5.5 #2-10 even, |
4/18 |
| 15 |
5.6 #5, 6 6.1 #4, 6, 8, 10, 12 6.2 #14, 16, 18, 28 (solutions) |
4/25 |
| 16 |
6.3 #12 6.4 #14, 15 |
5/2 |
Exams
Exam 1:
- Your first exam is Thursday 2/16.
- The exam will cover sections 1.1 through 2.2.
- Here are last semester's
practice exam 1
(solutions)
and
exam 1.
Corrections:
- Problem 4: there is a mistake in the last row operation. The entries in the last row should be -7 5 -1. There are also typos in the final answer.
- Problem (5c): entry 2,1 should be 2 not 1.
- Here are some more practice problems (solutions)
- Your second exam is Thursday 4/6.
- The exam will cover sections 2.3 through 5.3.
- Here are last semester's practice exam 2 (solutions) and exam 2. Corrections: None yet.
- Here are some more practice problems (solutions)
- The final is Thursday 12-2 in our usual lecture room
- The final is cumulative.
- Here are some
practice
problems
(solutions)
Corrections:
- The last column in \((AB)^T\) should be \(\begin{bmatrix} 4\\ 8\end{bmatrix}\)
- (4) There is a typo in the calculation of \(\det(A)\). The second term in line two is incorrect. There should be a -2 not a 2 in the upper left corner. This means \(\det(A) = 1\). And, hence, \(\det(2A)=2^4\) and \(\det(A^{-1}B^2C^T) = 24\).
- (11c) There is a typo in the very first line of the solution. It should read \[ [T]_\alpha^\alpha = [~[T(1)]_\alpha~ [T(x)]_\alpha~ [T(x^2)]_\alpha] \]
- (12) In part (ii), finding \(M^{-1}G(x)\) there's a missing \(x\) in the third entry of the resulting vector. The integration that follows requires integration by parts, make the necessary adjustments.
- (17) One of the equilibrium solutions should be \((2,-4)\) not \((2,-2)\). Also, the Taylor expansion of \(F\) at \((0,0)\) should be \[ F(x,y) = -2y + R_F(x,y). \]
Links
- Wolframalpha
- Khan Academy:
- Linear algebra with Sage: