Math 346 1XC - Summer 2018
Course Syllabus
- Math 346 1XC Syllabus - Course syllabus. Contains grading policy, requirements, assignments and other important info.
Video Recordings of Lectures
Click here for video recordings of the lectures posted on YouTube.
Reviews for Tests
Test 1 Review
Go here to access the finals mentioned, and do the indicated problems.
Spring 2005: 6, 8, 10(a)
Fall 2005: 1, 2, 3, 6(a),(b)
Spring 2006: 1, 2, 7(a)
Fall 2006: 1, 2(a),(c), 3(a), 4(a),(b) (the invertible question)
Spring 2007: 2, 5, 6, 7
As far as proofs go, we won't do anything too complicated. Expect to be able to prove the kind of things I prove in class when going over homework or when covering a topic (the shorter ones). Also, in the text, whenever they omit a proof, it could be something I'd ask about if they said something like "proof is left as exercise". Something like Theorem 2.3.1. would be nice as well. It's interesting enough to prove, but not too complicated (if you see the trick--use cofactor expansion). In short, nothing crazy, but I want to know that you know how to approach a proof. More involved proofs will be required as we move on to new chapters.
Test 2 Review
Go here to access the finals mentioned, and do the indicated problems.
Spring 2005: 2,3*,4,5,7,9,10
Fall 2005: 5,7,8*
Spring 2006: 3,4,5,6,7(b),9
Fall 2006: 2(b); 3(b),(c); 4(b); 6; 7
Spring 2007: 1,3*,4,9,11
Spring 2005: 1
Fall 2005: 4
Spring 2006: 8
Fall 2006: 5
Spring 2007: 8, 10
Do similar problems from the Math 392 finals here. All problems dealing with eigenvalues, eigenvectors and using them to solve systems. They usually don't ask about diagonalization in Math 392, but if they do, do those too.
Spring 2005: 2, 3, 9
Fall 2005: 7, 8
Spring 2006: 5, 9(c)
Fall 2006: None :p
Spring 2007: 1(b), 3, 11
Do similar problems from the Math 392 finals here
Final Review
See the beginning of the lecture here for info on the final, including its format and the topics it will cover. Keep these in mind as you practice problems below. This is from my lecture last semester, but the final will be very similar in terms of format. I will alert you of any changes as I make them, but these should be minor.
Go here to access the finals mentioned, and do the indicated problems.
Redo all review problems. It is best to complete them by doing final exams in their entirety under timed conditions.
Do all linear algebra problems from the Math 392 finals
Solutions to Tests
Please see the section on how to use the blanks and solutions.
Test 1
- Test 1 Blank - For extra practice.
- Test 1 Solutions - To check your answers, perhaps with a tutor.
- Alternative solution to problem 1 part a - row reduction
Test 2
- Test 2 Blank - For extra practice.
- Test 2 Solutions - To check your answers (with a tutor, recommended).
How to use the tests and solutions I post
Test 1
I post blank versions of the tests as well as the solutions, here's how to use them.
If you feel you did well on the test:
Review the solutions, to see if you roughly did well. Then forget about it.
Later in the semester, closer to test 2, redo the exam on the blank copy and then check your answers with the solutions.
While some of the topics might not appear on test 2, they may appear on the final which will only be a couple days after test 2. So it is worth redoing the exam close to test 2.
For max benefit, make sure you forgot most of the test and solutions when retaking the test. If you have any suspicion that you remember the problems on the test or the solutions, do not redo the same test. Rather, go to a tutor with the textbook and the test and ask them to make up another similar test for you, and practice that.
If you feel you did NOT do well on the test:
Hopefully this isn't the case, but if it is, there are other options than just giving up. (If you're thinking of giving up, you should probably come see me first). That being said, if you feel you did not do well but you want to continue with the class, here's the best way to proceed from here.
Do NOT look at the solutions file! Don't do it!!!
But, do not wait long to go over the test. Do it NOW. When you're at home (or your preferred study location), open the blank test and do it. You don't have to time yourself. Give yourself as much time as you need, just get through the problems by yourself. No notes, no help. Do NOT look at the solutions!!!
Go see a tutor on Monday and discuss what you did, and only open the solutions file when you're with the tutor.
It is important that you show the tutor your worked out solutions, the ones you did without help. It will show the tutor where you're having trouble and help them help you more. If you fix your mistakes before seeing the tutor because you don't want to be embarrassed, you're shooting yourself in the foot. I've been a tutor for many years, I assure you, there's no need to feel embarrassed. Trying to save face is not worth failing the class, so be honest with what you show the tutor you've done. The tutor should be looking at your worst attempt, not your fixed-up attempt.
When you see the tutor, you can view the solutions together (if the tutor needs to). This should be the FIRST time you're seeing the solutions. Only look at the solutions AFTER you've attempted the problems yourself, AND you've discussed your approaches and their merits (or drawbacks) with a tutor. You won't improve much otherwise.
After you meet with the tutor and looked at the solutions, make an appointment to see me so we can talk about how to move forward in the future.
Best,
Jhevon
Class Handouts
- Matrix Properties - This is a document containing some important properties of matrices: algebraic properties, properties of inverse matrices, properties of matrix transpositions, and properties of symmetric matrices.
- Basic Matrix Transformations in R^2 and R^3 - This document includes the standard matrices for various matrix transformations. There are some to memorize (marked by * asterisks) while others you should just be aware of.
Announcements
- Last test is on 7/19.
- See syllabus for date and time of the final.
