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 2pm – 4pm
Section 3, taught by
Martin Ulirsch ulirsch (at) math.brown.edu,
meets 1:00pm – 2:20pm (TR) at Barus
& Holley 165.
Instructor's
office and office hours: Kassar 016, M 1pm – 2pm and T 2:30pm – 4pm
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 |
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. |
|
|
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 |