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

Math 209 CD2 - Spring 2015

Course Syllabus

Quiz Answer Keys

Reviews for Tests

Test 1 Review

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

  • Spring 2008: 1,2

  • Fall 2008: 1,2,8

  • Spring 2009: 1,2

  • Fall 2010: 1,2

  • Spring 2013: 1,2,4,7

  • Spring 2014: 1, 2, 8

  • Also go over HW 1 and all previous quizzes. For every problem that asks you to do Euler's method, also do the modified Euler's method with half as many steps.

Notice that the next section after the test is qualitative analysis... I like to give bonus problems...

Test 2 Review

Go here to access the finals mentioned.

  • Spring 2008: 3,7,8

  • Fall 2008: 3,7,8

  • Spring 2009: 3,9,10

  • Fall 2010: 3,4,5,6

  • Spring 2013: 3,4,6

  • Spring 2014: 3,7,8

  • Also, make sure you know how to draw phase plots and nullclines. You're not always asked to do these on a final, but I will ask you to do that in the test. You can also do things the way we did in class, so if a problem askd you to do a competition table, you can use Lo's method instead if you wish; or if it asks you to compute concavity, you can skip that if you wish--just make sure your solution graph is right!, etc.

There is not a lot of practice material in the finals, so look over homework problems and quiz problems that are very similar to these.

I might ask you to do something by qualitative methods but then verify your answer somehow by solving the ODE explicitly, so remember your separation of variables!

Test 3 Review

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

  • Spring 2008: 4, 6, 9

  • Fall 2008: 4, 6, 9, 11(a)

  • Spring 2009: 4, 5, 6(a),(b)

  • Fall 2010: 6 (in part I), 6 (in part II), 8(a), 10

  • Spring 2013: 5, 8, 9

  • Spring 2014: 4, 6, 11(a), 12

  • I'll probably mention more about the test in the class before the test. As of writing this, I haven't written the test.

Notice that the next sections after the test are discrete random variables and the binomial distribution...

Test 4 Review

Go here to access the finals mentioned.

  • Spring 2008: 5, 10, 11

  • Fall 2008: 5, 10, 11

  • Spring 2009: 6, 7, 8

  • Fall 2010: (In part II): 6, 7, 8, 9

  • Spring 2013: 10

Final Exam Review

  • To review for the final exam, review all the in-class tests and final exams mentioned above!

Solutions to Tests

Test 1

Test 2

Test 3

Test 4

Handouts

Announcements

  • I hope you emailed me per instructions!
  • Test #1 will be on February 23rd.
  • Test #2 will be on March 18th.
  • Test #3 will be on April 29th.
  • Test #4 will be on the last day of class.
  • The final exam is on Thursday, May 21st from 3:30pm to 4:45pm in Marshak 4.
The City College of New YorkCUNY
Instagram iconFacebook iconLinkedIn iconYouTube icon
© The City College of New York. All rights reserved.