- Lectures: Tuesdays, Wednesdays, and Fridays 12:30--1:20PM, Hamilton Hall 109.
- Instructor: Prof. Megumi Harada
- Office: Hamilton Hall 325
- Office hours: Mondays 10:30--11:30AM, Tuesdays 11:30AM--12:30PM, Wednesdays 11:30AM--12:30PM, or by appointment. Subject to change.
- Tutorials: Tuesdays 11:30AM--12:20PM and Wednesdays 1:30--2:20PM. The first meeting of tutorials is tentatively the week of January 15th. Your TA is Steven Lazzaro.
- TA office hours: Steven will be in the Math Cafe (1st floor Hamilton Hall) on Friday afternoons 2:00PM--4:00PM.

The required text for this course is *Elementary Linear Algebra, applications version, 11th edition* by
Howard Anton and Chris Rorres.
The course syllabus, handed out
at the first lecture, gives a detailed discussion of what to expect in this course. You may also wish to consult my Undergraduate FAQ.

Assignments will be posted approximately weekly on the course's Avenue to Learn page; the assignments have no specified due date and you are welcome to do them anytime before the end of lectures. The assignment grades are recorded automatically by WileyPlus and they will count toward your grade if it is to your advantage. In order to access WileyPlus you must have a WileyPlus access code or key. If you do not already have an access code, you can purchase one at the bookstore for a discounted price. It's my understanding that if you purchase just the WileyPlus code, you get access to the online version of the book, and you can choose to buy an e-version of the book at the end of the course, at a discounted price. Alternatively, if you don't already have the physical book and want one, you can also purchase the book together with a WileyPlus access code at the bookstore, which may be cheaper than purchasing them separately. Once you have a WileyPlus access code, log on to Avenue to Learn for Math 2R. You will find your WileyPlus assignments there and the first time you access a WileyPlus assignment, you will be asked for the access code.

- The first assignment has been posted on Wiley Plus, accessed through Avenue. (Go to the course ``Content'' and go to the ``Week of January 8'' folder.) The due date is set to be the last day of classes, April 9, 2018. The same will be true for all following assignments.
- The second assignment should be now available through Avenue (under ``Week of January 15''). If there are technical issues with accessing the assignment, please let me know.
- The third assignment is now available through Avenue.
- The assignment for the week of Jan. 29 is now available through Avenue.
- The assignment for the week of Feb. 5 is now available. NOTE: this assignment contains problems from Sections 6.4, 6.5 and 7.1 in the book. However, Test 2 only covers up to section 6.4.
- The assignment for the week of Feb. 12 is now available. NOTE: there are review problems from Chapter 4 on changes of bases. I hope to get to that by the end of this week!
- The assignment for the week of Feb. 26 is now available.
- The assignment for the week of Mar. 5 is now available.
- The assignment for the week of Mar. 12 is now available.
- The assignment for the week fo Mar. 19 is now available.
- The assignment for the week fo Mar. 26 is now available.
- The assignment for the week fo April 2 is now available. Sorry for delay.

Tutorials will start the week of January 15th.

- The week of January 15th, Steven will spend time helping you to review concepts from Chapter 4, Sections 1--5 of the textbook (notions such as linear independence, span, basis, dimension, etc).

Look here for general **Updates, Announcements, and general course handouts** also, such as notices of last-minute
changes to office hours.

- Due to my cancelled office hour on Weds Jan. 31, I will be having an extra office hour on Monday February 5, 11:30AM--12:30PM.
- For Monday February 12th, office hours will be 11:30AM--12:30PM instead of the usual 10:30AM--11:30AM.
- Steven's tutorial for Weds March 7th is cancelled.

Look here for announcements as the semester goes on.

- Material to be covered for Test 1: Appendix B, Chapter 4 Sections 1--5, the definition of complex n-space and the complex dot product in Chapter 5 Section 3, and Chapter 5 Section 1.
- Expectations for proof-writing for Test 1: Since we have just started the course and much of lecture has been occupied with review material, we haven't seen a lot of proofs yet in the course. As a consequence, the expectations of ``proof-writing'' for Test 1 will be different from the expectations that will be placed later in the course. For Test 1, you will be asked to ``justify your reasoning and show your work'' to earn full marks. I will not be expecting you to write formal, structured proofs. Essentially, ``justify your reasoning and show work'' means that I want to see your computations, and in addition, some English sentences that explain what you are doing or the thought process involved in your computation.
- Here is the Practice Test 1.
- Here are Sample Solutions to Practice Test 1. (
**TYPO alert:**I made a mistake in the solution of Problem 1 part b. The entries in the second vector should be conjugated, so the correct answer is -5+i. ) **Testing rooms and class breakdown:**- Last name AA-->KEAV: go to JHE/326H
- Last name KEB --> ZY: go to HH/109 (usual classroom)

- There will be a review session, with Steven, on Friday January 19, 4:30--6:30PM, HH/109. (Note: there's been a time change.) Steven also has his regular office hours starting at 2:00PM on Friday, in the Math Cafe.
- Here are Sample Solutions to Test 1.
- The review session for Test 2 will be Thursday Feb. 8th, HH/109, 5:30--7:20PM.
- Office hours are CANCELLED for Weds Jan. 31. I will re-schedule an extra hour of office hours next week in preparation for Test 2.
- The material to be covered for Test 2: Chapter 6 in textbook, Sections 6.1, 6.2, 6.3 (but NOT the QR decomposition), and 6.4.
- Expectations for proof-writing for Test 2: We have been going over proofs and reasoning in class, so for the ``proof-writing'' and ``full justification'' problems on Test 2 (and onwards), I expect you to produce proofs in English sentences similar to what I have been showing you in class.
- Here is the Practice Test 2.
- Here are Sample Solutions to Practice Test 2.
- Here is a list of suggested review problems for Test 2.
**For Test 2: Testing rooms and class breakdown:**- Last name AA-->MAX: go to DSB / AB102
- Last name MAY --> ZY: go to HH/109 (usual classroom)

- Here are Sample Solutions to Test 2. Note: the solution to one of the computational problems in on the very last page (the appendix). Sorry for inconvenience.
- The review session for Test 3 will be Monday Mar. 5, T13/125, 4:30-6:20pm.
- The material to be covered for Test 3: From the textbook, Sections 6.5, the part of Section 6.6 computing Fourier series and Fourier coefficients (p.396-397), Section 7.1, and Section 4.6.
- Here is a list of suggested review problems for Test 3.
- Here is the Practice Test 3.
- Here are Sample Solutions to Practice Test 3.
**For Test 3: Testing rooms and class breakdown: (same as for Test 1)**- Last name AA-->KEAV: go to JHE/326H
- Last name KEB --> ZY: go to HH/109 (usual classroom)

- Steven's tutorial for Weds March 7th is cancelled due to Test 3 being the hour right before.
- Here are Sample Solutions to Test 3.
- Office hours for Monday March 19 are cancelled; a make-up office hour is scheduled for Tuesday March 20, 9:30--10:30AM.
- Test 4 will take place Tuesday March 27, during class time. Rooms TBA.
- Material to be covered on Test 4: From the textbook, Chapter 7: Sections 7.2, 7.3 (not including the discussion of Identifying Positive Definition Matrices on p. 426-427), 7.4 (only Theorem 7.4.1 and its proof, and Examples 1 and 2), 7.5 (just the part which discusses unitary diagonalization). Chapter 8: Sections 8.1 (up to and not including `Kernel and Range') and 8.4 (up to and NOT including `Matrices of Compositions and Inverse Transformation').
- The review session for Test 4 will take place Fri. Mar. 23 , HH/109, 4:30-6:20pm.
- Here is a Practice Test 4.
- Here is a list of suggested review problems for Test 4.
**For Test 4: Testing rooms and class breakdown: (same as for Test 1 and Test 3)**- Last name AA-->KEAV: go to JHE/326H
- Last name KEB --> ZY: go to HH/109 (usual classroom)

- Here are Sample Solutions to Practice Test 4. Typo alert: In my solution to Problem 5 part b, I mistakenly swap the roles of A and iA in the middle of the solution. It should state that P diagonalizes iA with real eigenvalues, and so A has pure imaginary eigenvalues.
- Here are Sample Solutions to Test 4.
- I apologize to everyone for bad judgment on my part regarding Test 4. One of the computational problems was far more complicated than it should have been. I am adjusting test marks for Test 4 by adding 8 marks (out of 46) to your test mark (for everyone in the class).
- The review session for the final exam will take place Monday April 16, HH/302, 3:30--5:30pm.
- I will hold extra office hours (HH/325) during the final exam period as follows:
- Friday April 13, 9:30--11:00am,
- Monday April 16, 9:30--11:00am and 12:30--1:30pm.

- The final exam will be cumulative, covering the entire course. However, there is an emphasis on the last few weeks of class, in particular Chapter 8. There will be 12 questions in total, out of which you are expected to choose 10.
- You are responsible for the entire Chapter 8, all sections.
- Here is a Practice Final Exam. The actual final exam will look almost identical to this one. In particular, please note the instructions on the first page: you MUST cross out, with a clear `X', the boxes for the problems that you do not wish to have marked.
- Here are Sample Solutions to the practice final exam.
- Here is a list of suggested review problems for Chapter 8, Sections 2 through 5, in preparation for the final exam.