Math 2220 -- Section 201 -- Linear Algebra II
Fall 2019
Instructor: Dan Klain
Lectures: TTh 12:30pm in Olsen 401
Office Hours: TTh 2:00pm and by appointment
Office: OH 416C
Required Text:
Lay, et al.,
Linear Algebra and its Applications, 5th edition,
Pearson, 2015
ISBN-13: 978-0321982384
This course is the second of a two-semester sequence on linear algebra (following Math 2210).
Homework sets will be announced on this page each week.
The homework will not be collected. However,
questions related each problem set will appear in weekly
quizzes, usually given each Thursday (see below for weekly details).
Additional take-home quizzes may be occasionally assigned.
The homework will account for the most
substantial part of your learning, so you should
take the homework very seriously. If you do the homework you will also
find the quizzes and exams much easier.
Quizzes are open book, open notes.
Exams are not open book (see below).
Calculators not permitted during quizzes or exams in this course.
Attendance policy:
Attendance will not be taken, but you are of course responsible for everything covered in every class.
There will be no make-ups for missed quizzes. Instead I will drop the lowest quiz score for each student.
Make-ups for exams require official documentation (doctor's note, letter from coach regarding away games,
letter from the Dean of Students, etc.).
Academic Integrity:
Academic dishonesty is prohibited in all programs of the University, and sanctions may be
imposed on any student who commits an act of academic dishonesty. Details on UML policy
can be found
here.
Examinations:
There will be three exams and a final exam.
Exams are closed book. However, you are allowed to bring one double-sided 8.5" x 11" sheet of notes.
Tentative Exam Schedule
Exam #1 -- 10/01/2019
Exam #2 -- 10/29/2019
Exam #3 -- 11/21/2019
Final Exam: 12/16/2019 at 11:30am
The final grade will be determined by the quiz average (approx 25%), the 3 exams (approx 15% each),
and the final exam (approx 30%). Exact percentages may vary depending on the incidence of quizzes (due to
school cancellations, etc.).
Homework assignments will be announced weekly on this page. Check periodically for updates.
Weeks #1-2
Readings: Lay, Review Sections 1.8, 1.9
Problem Set:
Section 1.8 #1, 3, 5, 7, 9, 13, 17, 31, 34
Section 1.9 #1, 5, 7, 15, 25, 31
The take-home quiz is due in class on Tuesday, September 17 (original date updated).
Weeks #2-3
Readings: Lay, Section 5.1, 5.2, 5.3
Problem Set:
Section 5.1 #1, 5, 7, 9, 13, 21, 25, 27, 31
Section 5.2 #1, 5, 11, 15, 21
There will be
a brief in-class quiz on this material given near the end of class
on Thursday, September 19.
Weeks #3-4
Readings: Lay, Section 5.2, 5.3, 5.5
Problem Set:
Section 5.2 #24
Section 5.3 #1, 3, 5, 7, 11, 15, 21, 25
Section 5.5 #1, 3, 5, 7, 13
There will be
a brief in-class quiz on this material given near the end of class
on Thursday, September 26.
The solutions to recent quizzes are
here:
pdf
and
here:
pdf
The first exam is on Tuesday, October 1.
You may bring a one sheet of notes, double-sided, US letter sized (8.5 x 11 inches).
Calculators will not be permitted.
Weeks #5-6
Readings: Lay, Section 5.7 and Lecture Notes (pdf)
Problem Set:
Section 5.7 #1, 3, 5, 9, 11
Additional Problems from page 4 of Lecture Notes pdf
There will be
a brief in-class quiz on this material given near the end of class
on Thursday, October 10.
Week #7
Readings: Lay, Sections 6.1 and 6.2
Problem Set:
Section 6.1 #1, 3, 5, 7, 9, 11, 13, 24, 25, 27, 31
There is no meeting on Tuesday October 15 because of the holiday schedule.
There are two take-home quizzes due next week:
Take-home Quiz 4
and Take-home Quiz 5
are both due in class on Thursday, October 17.
Weeks #8-9
Readings: Lay, Sections 6.2 and 6.3 and lecture notes on Projections (pdf)
Problem Set:
Section 6.2 #1, 3, 9, 17, 19, 27, 30
Section 6.3 #5, 9, 11, 13, 21 (this material will be covered in lecture on Tuesday, October 22)
Exercises on Projections (this material will be covered in lecture on Tuesday, October 22)
The second exam is on Tuesday, October 29.
You may bring a one sheet of notes, double-sided, US letter sized (8.5 x 11 inches).
Weeks #9-10
Readings: Lay, Sections 6.5 and 6.6
Problem Set:
Section 6.5 #1, 3, 5, 7, 9
Section 6.6 #1, 3, 5, 7a, 9
There will be
a brief in-class quiz on this material given near the end of class
on Thursday, November 7.
The solutions to the second exam are
here:
pdf
There is an
extra credit
assignment due
at the beginning of class
on Thursday, November 7.
Week #11
Readings: Lay, Sections 6.4 (Gram-Schmidt), 6.7, and 7.1
Problem Set:
Section 6.4 #1, 3, 9
Section 6.7 #1, 3, 5, 17, 21, 23
Section 7.1 #1, 3, 5, 7, 9, 11
There will be
a brief in-class quiz on this material given near the end of class
on Thursday, November 14.
Week #12
Readings: Lay, Sections 7.1, 7.2
Problem Set:
Section 7.1 #15, 17, 23, 35
Section 7.2 #1, 3, 5, 7, 9, 11, 13, 23
The third exam is on Thursday, November 21.
You may bring a one sheet of notes, double-sided, US letter sized (8.5 x 11 inches).
Weeks #13
Readings:
Problem Set: Lectures Notes on Optimization
(pdf)
There is a
take-home quiz
on Gram-Schmidt orthogonalization due in class on Tuesday, December 3
(pdf).
Last Weeks
Readings:
Problem Set: Lectures Notes on Optimization
(pdf)
There will be
a brief in-class quiz on the material from pages 1-8 given near the end of class
on Thursday, December 12.
The solution to the third exam is
here:
pdf
The solution to quiz #8 is
here:
pdf
The solution to quiz #9 is
here:
pdf
The Final Exam is at 11:30am on Monday, December 16, 2019.
You may bring a one sheet of notes, double-sided, US letter sized (8.5 x 11 inches).
My homepage (including contact information) can be found here.