Math 0520 – Linear Algebra   Sections 1 and 3

The Course Head for Math 0520 Sections 1 and 3 is Mei Yin. Questions about course content or everyday logistical questions should be addressed to your professor. However, if you have a more unusual or difficult issue that cannot be properly handled by your professor, you should contact the course head at mei_yin@math.brown.edu.

Lecture Time:
   Section 1, taught by Mei Yin
mei_yin (at) math.brown.edu, meets 2:00pm – 2:50pm (MWF) at Thomas Watson CIT 227.
  
Instructor's office and office hours: Kassar 219, T 2pm4pm

   Section 3, taught by Martin Ulirsch ulirsch (at) math.brown.edu, meets 1:00pm2:20pm (TR) at Barus & Holley 165.
   Instructor's office and office hours: Kassar 016, M 1pm2pm and T 2:30pm4pm

   Note: Section 2 of Prof. Landman is taught independently of Sections 1 and 3.

Textbook: David C. Lay, Linear Algebra and Its Applications 4th Ed. 

Course Description: Math 0520 is an introduction to linear algebra. Topics of study will include vector spaces, linear transformations, matrices, systems of linear equations, bases, projections, rotations, determinants, and inner products. Applications may include differential equations, difference equations, least squares approximations, and models in economics and in biological and physical sciences.

Lecture Schedule: Here is a plan of the course (may be altered for pedagogical reasons as the course develops).

Ch. 1: Linear Equations in Linear Algebra

2 weeks

Ch. 2: Matrix Algebra

1 week

Ch. 3: Determinants
1 week

Ch. 4: Vector Spaces

3 weeks

Ch. 5: Eigenvalues and Eigenvectors

2 weeks

Ch. 6: Orthogonality and Least Squares

3 weeks

Ch. 7: Symmetric Matrices and Quadratic Forms

2 weeks


Tentative Day-to-Day Calendar:

The Week of
Material Covered
Homework Assignments (Due in class) Due (Section 1) Due (Section 3)
September 4 September 6
Sections 1.1, 1.2, 1.3, 1.4



September 9 September 13
Sections 1.5, 1.7, 1.8, 1.9
#1, 2, 3, 4
Wed., Sept. 11 Th., Sept. 12
September 16 September 20
Sections 2.1, 2.2, 2.3
#5, 6, 7, 8 Wed., Sept. 18 Tu., Sept. 17
September 23 September 27
Sections 3.1, 3.2, 4.1
#9, 10, 11
Wed., Sept. 25 Tu., Sept. 24
September 30 October 4
Sections 4.2, Quiz 1, Review
#12, 13, 14
Wed., Oct. 2 Tu., Oct. 1
October 7 October 11
Sections 4.3, 4.4, Midterm 1
Self-check #15. Solutions will be provided.


October 15 October 18
Sections 4.5, 4.6, 4.7
#16, 17
Wed., Oct. 17 Tu., Oct. 16
October 21 October 25
Sections 5.1, 5.2, 5.3, 5.4
#18, 19, 20
Wed., Oct. 23 Tu., Oct. 22
October 28 November 1
Sections 5.5, 5.6, 5.7
#21, 22, 23, 24
Wed., Oct. 30 Tu., Oct. 29
November 4 November 8
Sections 6.1, 6.2, 6.3
#25, 26, 27
Wed., Nov. 6 Tu., Nov. 5
November 11 November 15
Sections 6.4, Quiz 2, Review
#28, 29, 30
Wed., Nov. 13 Tu., Nov. 12
November 18 November 22
Sections 6.5, 6.6, Midterm 2
Self-check #31. Solutions will be provided.


November 25 November 26
Sections 7.1, 7.2
#32, 33
Mo., Nov. 25 Tu., Nov. 26
December 2 December 6
Sections 7.3, 7.4, 7.5
#34, 35
Wed., Dec. 4 Tu., Dec. 2
December 9 December 12
Reading Period, Review
Self-check #36, 37, 38. Solutions will be provided.



Grading
: Your final grade for the course will be determined based on a numerical weighted average calculated as follows: Homework and Quizzes 20% Midterms 40% Final Exam 40%. This average percentage will then be converted into a final letter grade based partially on how other students perform this semester, and partially on typical percentage grades from previous semesters of the course.

Attendance: Students are expected to attend every scheduled class. Attendance in lectures does not affect your grade, but it is strongly encouraged. Not everything that we will cover in class will be in the textbook. Furthermore, there is a strong correlation between success in Math 0520 and regular attendance at the lectures.

Homework: Homework will be assigned every week. Tentative homework assignments (subject to change) are attached below. All problems listed there are from Practice Problems after each section in the textbook. Students are advised to complete their homework assignments as soon as the relevant content is covered. The due date for Section 1 (Yin's class) is every Wednesday at the beginning of the class. The due date for Section 3 (Ulirsch's class) is every Tuesday at the beginning of the class. Homework must be turned in promptly to receive credit. If you turn it in later that day, there will not be time for the grader to get to it, and we will not accept it. For submitted problems, students are expected to show work and justify their answers. Please write your name on the first page and identify which section you belong to. If you are submitting multiple pages, please staple them together. Every homework will be graded on a 10-pt scale. The ten highest homework scores will contribute to 18% of your final grade.

Quizzes: Two short quizzes (each worth 1% of your final grade) are tentatively scheduled one week before the two midterms. The purpose of these quizzes is to help students get ready for the midterms. Every quiz will be graded on a 10-pt scale.

Exams: Two midterms (each worth 20% of your final grade) are tentatively scheduled during class time on Wednesday, October 9 and Wednesday, November 20 (Section 1, Yin's class), and on Tuesday, October 8 and Tuesday, November 19 (Section 3, Ulirsch's class).
Midterm 1 will cover Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 1.9, 2.1, 2.2, 2.3, 3.1, 3.2, 4.1, 4.2.
Midterm 2 will cover Sections 4.3, 4.4, 4.5, 4.6, 4.7, 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 6.1, 6.2, 6.3, 6.4.
The final exam (40% of your final grade) is cumulative. For both Sections 1 and 3, the final is scheduled for Friday, December 20, 9:00am – 12 noon, location TBA.
Every exam will be graded on a 100-pt scale. No make-up exams will be given. Each student may replace the grade of ONE exam by the grade of one of the following exams.

Calculator: Linear algebra is probably more conceptual than the math courses you have previously taken. Calculators may be helpful for centain computations (in fact, calculators/computers are often necessary when doing complicated 'real world' examples), but they will not be necessary for the homework and will not be allowed on quizzes or exams.

Help: Additional handouts will be distributed throughout the semester. Students are also encouraged to ask for individualized help at any time. Make use of the Math Rescource Center and the tutoring program run by the Dean's office too!

Collaboration Policy and the Academic Code: While students are allowed (and even encouraged) to work together and/or ask each other questions about homework problems, it is unacceptable to copy or submit another student's work, calculations, or final answers without solving the problem yourself. The best practice to obey this policy is to start each problem on your own, seek help if you run into difficulties, and then use that help to finish the problem on your own. Violation of this policy, cheating on exams, or any other form of academic dishonesty is prohibited by Brown's Academic Code. All students should be aware of this code, and they should understand that violating the code can have serious consequences.

Accessibility Services: Brown is committed to providing support for students with learning differences, physical impairments, and other disabilities. If you think you may need accommodations due to one of these conditions, contact Student and Employee Accessibility Services for more information.

Note: Homework assignments on this page are subject to change. The website is always the most accurate source for assignments, so if you print out a copy of this page early, check the web each week to make sure the problems have not been changed. Your teacher will also call attention to it whenever any change is made.

Work the following homework problems at the appropriate time.

 Homework Assignment #

Problems

1

Section 1.1, #7, 8, 14, 23, 24

2

Section 1.2, #5, 10, 12, 15, 22, 23, 24

3

Section 1.3, #12, 13, 23, 27

4
Section 1.4, #8, 12, 13, 17, 19, 24, 32
5
Section 1.5, #8, 12, 24
6
Section 1.7, #8, 10, 14, 22, 23
7
Section 1.8, #7, 9, 18, 19, 22
8
Section 1.9, #7, 8, 13, 23, 26

9

Section 2.1, #1, 2, 17, 27, 28

10

Section 2.2, #2, 7, 9, 10, 31, 35, 37, 38

11

Section 2.3, #4, 8, 11, 12, 16, 17, 28, 39

12
Section 3.1, #6, 12, 22

13

Section 3.2, #22, 24, 26, 28

14

Section 4.1, #2, 4, 6, 8, 16, 18, 23, 24

15

Section 4.2, #5, 8, 16, 25, 26, 28, 31

16

Section 4.3, #4, 5, 10, 14, 16, 21, 22

17

Section 4.4, #1, 6, 10, 13, 15, 18, 28

18
Section 4.5, #3, 7, 10, 14, 19, 21, 23, 30
19
Section 4.6, #2, 4, 12, 17, 18, 19, 26
20
Section 4.7, #1, 4, 6, 8, 13, 14, 20a

21

Section 5.1, #1, 6, 10, 21, 22, 27, 31

22

Section 5.2, #4, 10, 14, 17, 19, 21

23

Section 5.3, #2, 4, 6, 13, 21

24

Section 5.4, #1, 5, 8, 12, 16, 17

25

Section 5.5, #4, 7, 10, 16, 23, 24, 28

26
Section 5.6, #2, 3, 4, 10, 12, 14, 17ab, 18a
27
Section 5.7, #1, 6, 8, 12, 13, 14

28

Section 6.1, #9, 14, 19, 20, 24, 26, 28

29

Section 6.2, #6, 9, 12, 13, 23, 24

30

Section 6.3, #2, 5, 7, 12, 14, 21, 22

31

Section 6.4, #1, 4, 10, 11

32

Section 6.5, #2, 4, 5, 17, 18

33
Section 6.6, #1, 2, 4, 9

34

Section 7.1, #17, 25

35

Section 7.2, #11, 17, 27

36

Section 7.3, #3

37

Section 7.4, #11, 13

38

Section 7.5, #1, 3