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

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:
• 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.
• 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