M369 Section
2
Spring 2007 Course:
Linear Algebra
Instructor: Dr. Iuliana Oprea
Department of Mathematics, Colorado State University
office:Weber
123, phone:1-6751,
url:
http://www.math.colostate.edu/~juliana
email juliana'at'math.colostate.edu
General information
Recommended (on-line free text book
with solutions to all exercises):
Jim Hefferon, Linear Algebra: http://joshua.smcvt.edu/linalg.html
The syllabus below will be updated as the semester progresses.
Week |
Material covered (with page numbers) |
Homework |
1 |
Chapter
1: Systems of linear
equations, Row echelon form, Matrix algebra, Elementary matrices Chapter 2 : The determinant of a matrix, Properties of determinants |
HW1 - due Wednesday 24 January Chapter 1: Section 1: 1b, 2b, 3d, 5b, 6f, Section 2: 1a,f,g, 2 a-e, 5f, Section 3: 1d, 2, 10, 12, Section 4: 10g, 11 |
2 |
Chapter 3 : Vector
spaces: Definition
and examples, Subspaces, Spanning
sets, Linear independence |
HW2 - due Wednesday 31 January Chapter 2, Section 1: 3 Chapter 3, Section 1: 6, 10; Section 2: 1 a,b; 3 a; 4 a,b; 6 a,b; 10a, 11a |
3 |
Basis, Dimension, Change of Basis Solution to Quiz 1
|
HW3 - due Wednesday 7 February S3: 1 a c e, 2 bd, 5, 6ac, 7bd, 8, S4: 4,5,6,10,14 (sorry for the copy/paste typo, S2 was due last week!) |
4 | Change of Basis -
continued Row Space - Column Space |
HW4 - due Wednesday 14
February S5: 1b, 2 b, 3b, 5, 6, 8, 9; S6 1a, b, 2a, c, 3, 4abc, 5,6,10, 12, 13 |
5 |
Chapter 4: Linear Transformations Linear transformation; Matrix representations of linear transformations Solution to Quiz 2 |
HW5
- due Wednesday 21
February Chapter 4: s1:1a,e, 3,4,5,6,9a,17a,b;18 a,b; 21,22; s2: 2ac, 3b, 4,6,14,18 |
6 |
Similarity Matrices; Review
Chapter 4. |
HW 6 due Wed 28 February:
Ch 4, S3: 1,2,3,7; Chapter test B: 1-5, 9, 10 |
7 |
Review, Exam, Chapter 5
Orthogonality, Section 1 |
HW 7 due March 9 (Friday): Ch 5 S1:
1a, 3c, 4, 8c, 9; S2: 1c, 2, 3 , 4 |
8 | Chapter 5 Orthogonality, Sections 1-2, 3 | No HW assigned |
9 | Spring Break |
|
10 | Least Squares, Inner
Product Spaces |
HW 8 (due March 29): Ch.
5, S3: 1c, 2c, 5, 6 , S4: 2,3,7,8,11 |
11 |
Inner Product Spaces,
Sections 4, 5 |
HW9 due April 5: Ch. 5,
S5 1cd, 2, 3, 5, 8, 15, 21,27,28; S6: 1-6 |
12 |
Sections 5-7 |
HW10 Due April 9 Test
Chapter B 1-8, 10-12 |
13 | Chapter 5: Eigenvalues,
Eigenvectors |
HW 11: Ch6 S1: 1 g.h;
3,4,10, 11,13,18,19,28 |
14 |
Chapter
6, sections 1-3 |
HW12 Due Wednesday Ch6 S2: 1a,b,
2 a,b, S3: 1 a,c, 2,3,8 |
15 |
Chapter 6 Section 4,5 |
HW13 Due Wednesday, Ch.
6, S4, 1-4 |
16 |
Review for
the Final Exam |