Spring
2008
MATH 3260 Linear Algebra
|
Date |
Section |
Assignment |
|
Jan 7 |
Systems
of linear equations and their solvability. Solving systems with Maple.(Classic worksheet file) |
Suggested
problems: Section 1.1: 1-6; 7, 13, 15, 17, 21, 43, 55, 61, 62, 67, 68, 69,
70, 71, 72, 73. (not a hw assignment) Read
section 1.1. See class notes on the last
problem in class. |
|
Jan 9 |
Gauss
and Gauss-Jordan elimination methods (section 1.2) Gauss elimination and Gauss-Jordan elimination.
(Maple file) |
Read
section 1.2. Hw#1 due Jan 16: section 1.1: 72, 73. section
1.2: 27, 30, 36(use Maple to solve this problem), 40, 43, 57; section 1.3:
13, 21. Suggested
problems: as many as you can from 1.2 |
|
Jan 14 |
Class meets in CL 1003 Applications
of systems of linear equations. |
Read section 1.3. Suggested problems: section 1.3: 9, 10, 11, 13, 21, 23, 27. Do not
neglect the Chapter review problems: 7, 27, 49, |
|
Jan 16 |
Operations
with matrices. Maple file on matrices (.mws
file); (.mw file) |
Hw#1
due Read
section 2.1. Suggested
problems: 5,6, 7, 9, 11, 13, 18, 21, 25, 27, 33, 37,
39. |
|
Jan 17 |
Information
meeting on study
abroad in China 1-2pm: see flyer |
|
|
Jan 23 |
Room change: class meets in CL 1003 Matrix
multiplication. The inverse of a matrix. |
Solutions to hw#1
are now posted on Resources page. Solutions to Quiz 1 are posted on Resources
page. |
|
Jan 24 |
Information
meeting on study
abroad in China 1-2pm
in CL 1009: see flyer |
|
|
Jan 28 |
Elementary
matrices. Notice
new problems added to the Hw assignment and to the suggested problems list. |
Read
sections 2.2 and 2.3. Suggested
problems: 2.2: 7, 11, 17, 18, 23, 24, 25, 29, 30, 32, 33, 35, 36, 41, 53, 54,
55, 57, 59. Note that ex. 53, 59 involve proofs. Do
try them but do not despair if you cannot do them at this time. Section
2.3: 1, 3, 31, 32, 45, 46, 48. Hw#2: due Jan 30 section 2.2: 35, 44, 60. section
2.3: , 26(a), 27(b), 36, 38, 46. |
|
Jan 30 |
More on
elementary matrices. The LU factorization. (Ch 2.4) |
Read
section 2.4. Suggested
problems: 2.4: 1, 2, 5, 9, 11, 16, 19, 21, 25, 29, 30, 39, 45, 48, 51, 55. |
|
Feb 4 |
Determinants
(3.1 and 3.2) |
Read
sections 3.1 and 3.2. Suggested
pb.:3.1: 1, 5, 9, 11, 13, 14, 15, 16, 19, 20, 21,
22, 33, 49, 50, 51.
3.2: 1, 3, 5, 5, 7, 8, 9, 10, 21, 23, 25, 26, 31, 32, 33, 34, 35, 36,
37. Hw#3: due Feb. 11: 3.1: 52. 3.2: 20, 24, 28. 3.3: 20, 24, 36,
39. |
|
Feb 6 |
Properties of determinants. (3.3) |
|
|
Feb 8 |
Review for Exam in CL 2005: 9-10AM |
|
|
Feb 11 |
Exam #1 |
Hw#3 due |
|
Feb 13 |
Introduction
to eigenvalues (3.4). The adjoint
of a matrix and finding the determinant (3.5)
|
Read
pages 152-160. Suggested
problems: 3.4: 1, 3, 5, 6, 11, 12. Section 3.5: 1, 3, 9, 10, 11, 12, 17,
25, 27. Hw#4 due Feb. 20: 3.4: 6, 8; section 3.5: 5, 10, 27(you may use Maple or a
calculator to compute the determinants in pb 27),
37; review problems: 45. |
|
Feb 18 |
Cramer’s
Rule. Introduction
to vector spaces: Chapter 4 |
Solutions to exam1(green version),
(white version) Read ch 4: 174-183. Suggested
pb: page 164: 17, 25, 31; page 168: 43, 44, 45. Page
183: 1, 2, 9, 15, 17, 21, 33, 35, 43, 44, 49, 50, 51, 52. |
|
Feb 20 |
Vector Spaces (4.2) |
Read
4.2. Suggested
problems: section 4.2: 17, 19, 20, 21, 23, 25, 26, 29, 30.
|
|
Feb 25 |
Problems on vector spaces. |
See
some class notes with problems from
the book. Hw#5: due March 12: section 4.2: 23, 25 (b), 28, 29. More to come |
|
Feb 27 |
Subspaces
of a vector space |
|
|
March 1-7 |
Spring break |
I posted some practice problems for Exam 2 on the Resources page. More problems to come. |
|
March 10 |
More on subspaces. Spanning sets. |
Hw#5: due March 12: section 4.2: 23, 25 (b), 28, 29. Section 4.3: 2,
3, 13, (e), 16, 17, 26. Suggested
problems: 4.3: 1-4; 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 23, 25, 26. |
|
March 12 |
Quiz on 4.3 and 4.4. Linear independence and dependence |
Read
4.4: through page 206. The practice test has been updated. Suggested
problems: 1, 5, 7, 9, 10, 11, 13, 35, 38, 41. Hw#5: due |
|
March 17 |
Exam review |
Hw5 solutions are now posted on the
Resources page. So is hw3. |
|
March 19 |
Exam
#2: section 3.4 through 4.4. |
You are
allowed a formula sheet, but do not bring practice test solutions or hw
solutions or any such materials. |
|
March 24 |
Basis
and dimension (section 4.5) |
Read
4.5 Suggested
problems: section 4.5: 1-4, 5, 6, 7, 8, 11, 13, 19, 21, 25, 29, 33, 39, 40,
41, 42, 43, 49, 51, 52, 53, 56. Hw#6: due March 31st: section 4.5: 33, 35, 43, 56. Section
4.6: 6, 9, 12(work with technology is strongly recommended), 15, 23. |
|
March 26 |
Quiz on
4.5 |
|
|
March 31 |
4.6:
Rank of a matrix and systems of linear equations |
Read
4.6. Suggested
pb: 4.6: 27, 33, 35, 43, 51. Check WebCT tomorrow. I may post some notes. |
|
April 2nd |
Coordinates
and change of basis |
See class notes. Please do read them! Read
section 4.7. Solutions
to quizzes 5 and 6 are posted on the Additional Resources page. Suggested
problems: section 4.7: 3,5,7,8,9,11,13,15,17,25. |
|
April 7 |
Change
of basis. Applications of vector spaces to differential equations. |
Read Scetion 4.7 and 4.8 pages 255-258 Suggested
problems: 4.8 1, 3, 9, 11, 12, 13, 15, 17, 19, 22, 23. Review
Ch4: 15, 17, 25, 29, 37, 42, 49, 51, 67, 69.
|
|
April 9 |
Linear Transformations
(Chapter 6) |
Read
6.1 Suggested
problems: 1, 2, 3, 7, 8, 9, 11, 13, 15, 19, 20, 21, 24, 25. Practice
for Exam 3 (with solutions) posted on Additional Resources page. |
|
April 14 |
One-to-one
transformations and range of a linear transformation. |
Read
section 6.2: pages 365-370. Suggested
problems: section 6.2: 1-6, 7, 9, 11, 39 (see pb 4
done in class for comparison) |
|
April 16 |
Exam 3:
section 4.4-4.8; 6.1-6.2:only what was covered in class You are
allowed a formula sheet, but no examples or worked problems on it. |
Solutions to Hw6 are now posted. You may
also see Maple file with work on some problems in
Hw6. A few
more problems have been added to Practice 3. Their solutions have been added
as well. |
|
April 21 |
Isomorphisms. Matrices of linear transformations (6.3) |
Read
6.2 and 6.3. Suggested
pb: page 387: 3, 5, 9, 13, 15, 17, 19, 29, 33, 35,
37, 47, 59. |
|
April 23 |
Application
of Linear Algebra |
Link to
$25,000,000 Eigenvector: the Linear Algebra behind Google is on Additional
Resources page |
|
April 28 |
|
|
|
|
|
|