The City College of New YorkCCNY
Department of Mathematics
Division of Science

Math 346 T - Spring 2018

Course Syllabus

  • Math 346 T 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.

Quiz Answer Keys

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 though.

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

Test 3 Review

Go here to access the finals mentioned, and do the indicated problems.

  • 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 ones 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.

Test 4 Review

Go here to access the finals mentioned, and do the indicated problems.

  • 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.

  • 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

Test 1

Test 2

Test 3

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

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