AP Calculus MATH 136-01

Final Exam

Monday, Dec. 13, 2:30 - 5:30 pm, Swords 359

The final exam is CUMULATIVE, that is, it covers all the material from the first day of class onwards. Approximately 20% will cover material from Chapter 11 on Differential Equations. This is Sections 11.1 - 11.5. You should go over homework problems as well as your class notes. Many of the problems and questions we discussed in class are excellent examples of test questions.

I have listed some sample problems from the Chapter 11 Review below. For questions from other chapters, see the previous exam review sheets: Exam 1 (Chapters 1, 2, 3) , Exam 2 (Chapters 4, 5, 6, 7) , Exam 3 (Chapters 8, 9, 10) For some good conceptual questions to work on. I have listed some sample problems from each Chapter's "Check Your Understanding" section. It is also a good idea to go over your previous exams and the chapter topic review sheets. These review sheets make an excellent studying tool allowing you to identify particular areas you may have struggled with during the semester.

The exam will be designed to take two hours (twice the length of a midterm) although you will have the full 3 hours.

Note: You will be allowed one "cheat sheet" 8.5 x 11 piece of paper, front and back, full of whatever formulas, graphs, etc. you wish. You will be given a scientific calculator for the exam which does NOT have graphing capabilities so be prepared to answer questions without your personal calculator or computer. The only numerical computations required will be the kind a scientific calculator can perform.

Exam Review: We will review for the exam Friday, Dec. 10, 1:00 - 2:30 pm in Swords 359. Please come prepared with specific questions.

Chapter 1 "Check Your Understanding", pp. 52 - 53
Problems:   3, 5, 6, 7, 8, 9, 13, 15, 18, 19, 24, 25, 36, 39

The answers to the evens are:
6.   FALSE
8.   TRUE
18.   FALSE
24.   TRUE
36.   FALSE

Chapter 2 "Check Your Understanding", pp. 103
Problems:   7, 8, 10, 11, 16, 17, 21, 22, 23

The answers to the evens are:
8.   TRUE
10.   FALSE
16.   TRUE
22.   TRUE

Chapter 3 "Check Your Understanding", pp. 162
Problems:   1, 3, 7, 9, 11, 13, 14, 15

The answers to the evens are:
14.   FALSE

Chapter 4 "Check Your Understanding", pp. 216 - 217
Problems:   1, 3, 5, 6, 7, 11, 20, 21, 23, 24, 25

The answers to the evens are:
6.   TRUE
20.   f(x) = e^x works
24.   Impossible

Chapter 5 "Check Your Understanding", pp. 257
Problems:   1, 3, 6, 7, 9, 11, 12, 13

The answers to the evens are:
6.   TRUE
12.   FALSE

Chapter 6 "Check Your Understanding", pp. 287 - 288
Problems:   3, 5, 6, 7, 9, 11, 12, 13, 14, 15

The answers to the evens are:
6.   FALSE
12.   TRUE
14.   TRUE

Chapter 7 "Check Your Understanding", pp. 342
Problems:   1, 3, 5, 7, 11, 17, 18, 19, 20

The answers to the evens are:
18.   TRUE
20.   FALSE

Chapter 8 "Check Your Understanding", pp. 401
Problems:   1, 3, 5, 8, 9, 10, 12

The answers to the evens are:
8.   FALSE
10.   FALSE
12.   FALSE

Chapter 9 "Check Your Understanding", pp. 431
Problems:   3, 4, 6, 7, 9, 11, 18, 22, 23, 24

The answers to the evens are:
4.   FALSE
6.   FALSE
18.   TRUE
22.   TRUE
24.   FALSE

Chapter 10 "Check Your Understanding", pp. 473-474
Problems:   1, 3, 5, 7, 8, 9, 13, 19

The answers to the evens are:
8.   TRUE

Chapter 11 "Check Your Understanding", pp. 555-556
Problems:   3, 5, 8, 9, 34, 37

The answers to the evens are:
8.   FALSE
34.   dy/dx = f(x), with f(x) a positive, increasing, differentiable function

Chapter 11 review, pp. 552-555
Problems:   3, 5, 9, 11, 15, 19, 21, 30, 31, 35, 39

The answers to the evens are:
30.   y = -2 is unstable, y = 0 is stable, y = 4 is unstable