Math 2111, Linear Algebra
(1-2:05 PM, Sci 3650)


Last HW assignment: The last HW is now graded and available to be picked up from the envelope outside my office.

Office hours for the rest of the semester:
Final exam: The final is at 1:30-3:30 PM on Dec 19.  Here is some advice on how to prepare for the final.

Cheat sheet policy: You will be allowed to use three standard (3.5" by 5") index cards on the final exam.  You may use both sides of the cards and may write whatever you feel is important on these, but they must be handwritten.

Syllabus: Here is the syllabus.

Online homework: Here is a link to webwork.  You will need your user name and password to login.  Your username is the same as your UMM e-mail username.  If you are logging in for the first time, your password is your student ID.  You should change this as soon as convenient.  Webwork assignments close at midnight on the due date.

Lecture notes: Here they are finally, the long awaited lecture notes on complex numbers, modular arithmetic, operations, and fields.

Homework:

There are three types of homework.  HW labeled Webwork is to be completed and submitted online by midnight on the given deadline.  It is submitted electronically only.  It is a good idea to have the answers written down for your own record, but you do not need to submit a hard copy.  HW labaled Turn in is to be written up neatly on paper and submitted in the envelope on the board next to my office by 5 PM on the given deadline.  HW labeled Prepare for quiz is tested in the form of quizzes.  You are given a quiz which consists of a problem(s) taken directly from this HW in class on the day of the deadline.  It is a good idea to write up the answers on paper neatly for your own records, but you do not neet to submit anything other than the quiz to me.
Assigned
 Due
 Read
 Type of homework
 Exercises
9/2
 9/16
Webwork
 Do this on your own: HW set 0
9/7
 9/12
Turn in
 You may work together: Written assignment 1
9/9


No new homework.  The assignment from Wed should keep you busy over the weekend.  Note that I've added a new hint to problem 2.a.
9/12
 9/19
Prepare for quiz
 You may work together: Quiz problems 1
9/14
 9/19
 3.2
 Prepare for quiz
 You may work together: Problem 6 on Quiz problems 1
9/14
3.2
No new homework.  Prepare for quiz on Mon and enjoy the weekend.
9/19
 9/26
 3.2, 3.1
 Webwork
 Do this on your own: HW set 1, problems 1-15
9/21
 9/26
 3.3
 Turn in
 You may work together: 3.2.8, 12, 15, 16, 19-21.  Be sure to carefully justify everything you claim. 
9/23 9/26
 3.4
 Webwork
 Do this on your own: HW set 1, problems 16-17
Think about
 3.3.1-4, 24.  You don't have to turn these in, just figure out for yourself how to do them.
Turn in
 You may work together: 3.3.15.  Be sure to carefully justify everything you claim. 
9/26
 10/3
 3.4
 Webwork
 Do this on your own: HW set 2, problems 1-7
9/28
 10/3
 3.5
 Webwork
 Do this on your own: HW set 2, problems 8
9/30
3.5
No new homework.  Prepare for the upcoming exam.  Read the lecture notes and work through the examples and exercises.
10/3
3.5
10/3
3.5
No new homework this week.
10/5
3.5
10/7
3.5
10/10
 10/19
 3.5
 Webwork
 Do this on your own: HW set 3, problems 1-7
10/12
 10/14
Look at and attempt
 Practice problems
10/14


No new homework. Do some reading in your book and notes, think more about the practice problems, and enjoy the long weekend.
10/19

 10/24
Webwork
 Do this on your own: HW set 4, problems 1,2
10/21
Look at and attempt
 All practice problems including the new ones
10/21
 11/2
 1.1, 1.2
 Prepare for quiz
 You may work together: Quiz problems 2
10/24
 10/31
 1.2, 1.3
 Webwork
 Do this on your own: HW set 5, problems 1-10
10/26
 10/31
 1.3, 1.4
 Webwork
 Do this on your own: HW set 5, problems 11-20. Also, keep working on those quiz problems.
10/28
 10/31
 1.4, 1.5
 Webwork
 Do this on your own: HW set 5, problems 21-25
10/31
 11/7
 1.5
 Webwork
 Do this on your own: HW set 6, problems 1-7
11/2
 11/7
 1.6
 Webwork
 Do this on your own: HW set 6, problems 8-13
11/4
 11/7
 1.6
 Webwork
 Do this on your own: HW set 6, problems 14, 15

Prepare for quiz Keep working on the Quiz problems 2. It seems that many of you still need to put a lot more work into these problems. Remember, if you are stuck, or just uncertain whether you are doing them right, help is available in office hours.
11/7
 11/14
 2.1
 Webwork
 Do this on your own: HW set 7, problems 1-10
11/9
2.1
No new homework.  Work on HW set 7 in Webwork.
11/11
 11/15
 2.2
 Webwork
 Do this on your own: HW set 8, problems 1-12
11/14-18
2.2
No new homework this week.
11/21
 11/30
 2.2
 Turn in
 Do this on your own: 2.2.4, 18
You may work together: 2.2.24, 26, 27, 30
11/23
2.2
No new homework. Happy Thanksgiving!
11/28
2.3
No new homework. Work on the HW due Wed and on understanding the proofs done in class.
11/30
 12/5
 2.3
 Webwork
 Do this on your own: HW set 9, problems 1-7
12/2
 12/7
 3.6, 3.7
 Turn in
 You may work together: 2.3.6, 8, 9, 11
(You may want to look at 2.3.3 and 7 first for practice. These have solutions in the back of your text.)
12/5
 12/14
 3.8
 Webwork
 Do this on your own: HW set 10, problems 1-10
12/7
 12/14
 5.1, 5.2
 Webwork
 Do this on your own: HW set 11, problems 1-5
12/14 (at 5PM)
 Turn in
 You may work together: 3.8.39 and problem 7 on p. 215
12/9
 12/14
 5.2, 5.3
 Webwork
 Do this on your own: HW set 12, problems 1-6
12/14 (at 5PM) Turn in You may work together: 5.1.32
Extra credit: 5.1.30.  NB: there are two typos in this problem.  The line defining L(V1) should read L(V1) = {w in W | w=L(v) for some v in V1}, and L(V1) is a subspace of W not V.
12/12
 12/15
 5.2
 Webwork
 Do this on your own: HW set 13, problems 1-7
12/14


No new homework.

Make-up quizzes: As announced, we are going to have a series of quizzes to let you improve your learning skills and boost your grades on the first exam.  At the end of the series, your score on the first exam will be replaced by E1+(50-E1)*MQ, where E1 is the score you earned on the first exam (out of 50 points) and MQ is your score on these quizzes as a percentage. So you start with your original score on the first exam and can increase this to 50 points by scoring 100% on the quizzes. Here is the quiz schedule:
Exam solutions:
 Useful links:

The links below lead to sites with encyclopedias of math terms.  You can use them to find definitions, examples, and some theorems.