M369 Linear Algebra (section 1)

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

Lectures: MWF 12:10pm-1:00pm
Syllabus
Course schedule and syllabus:
Office hours: WF11:00-11:50 and by appointment:

Additional Office hours: Prof Painter (Weber 130) MTu: 2:30 - 4:00 pm

Exams:

Midterm one : 12:10-1pm Wednesday 28th February
Midterm two : 12:10-1pm Wednesday 11th April, see review sheet, sample exam (last semester's 2-nd exam)
Final exam : 7-9am Wednesday 9th May sample exam (last semester's final exam)

If you are unable to attend any of these exams because of a legitimate reason (for example, it clashes with an exam for another course), then you must let the instructor know at least one week in advance.

Homeworks and quizzes:

There will be weekly homework, mainly set from the textbook. The homework must be handed in Wednesday at the beginning of the lecture.There will usually be a short quiz on Friday. This will test the concepts we have covered that week, including Friday's lecture.

Grading scheme:

90% - 100% A; 80% - 89% B; 70% - 79% C; 60% - 69% D; 0% - 59% F;
your final grade will be determined from a score out of 600.The homework and quizzes will count for 200 points, the midterms will count for 100 points each, and the final exam will count for 200 points.

Recommended (on-line free text book with solutions to all exercises):
Jim Hefferon, Linear Algebra: http://joshua.smcvt.edu/linalg.html

Course syllabus

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