* MATH 21B (SECTIONS B01-B05), 2 Wellman, 9-9:50 MWF *

* Instructor: Dr. D. A. Kouba *

Text: CALCULUS and ANALYTIC GEOMETRY (5th edition) by Stein and Barcellos

Office: 484 Kerr

Phone: (530) 752-1083

Regular Office Hours: 10:30-11:30 T, 2-3 Th or by appointment

- ...... MATH21B COURSE GRADES will be posted by Thursday, March 28, 2002 (listed by the last four digits of your student ID number number)

KOUBA OFFICE HOURS | WEDNESDAY, March 13, 2002 | 12-2 p.m. | 484 Kerr | |||

THURSDAY, March 14, 2002 | 2-4 p.m. | 484 Kerr | ||||

FRIDAY, March 15, 2002 | 10-11 a.m., 2-3 p.m. | 484 Kerr | ||||

MONDAY, March 18, 2002 | 10-11:30 a.m. | 484 Kerr |

Here are Math 21B TA OFFICE HOURS for Winter Quarter 2002. These are subject to periodic and unannounced changes.

EXAM DATES :

- EXAM 1-- WEDNESDAY, JANUARY 23, 2002

- EXAM 2-- FRIDAY, FEBRUARY 15, 2002

- EXAM 3-- FRIDAY, MARCH 8, 2002

- FINAL EXAM -- TUESDAY, MARCH 19, 2002, 1:30-3:30 p.m. . . . . . in 198 Young

The course will likely cover the following sections in our textbook : 5.1-5.5, 5.7,6.7, 7.1-7.7, 8.1-8.6, 8.8, 9.1-9.4

SOLUTIONS TO ALL HOMEWORK ASSIGNMENTS AND HOUR EXAMS CAN BE VIEWED ON THE INTERNET at Math 21B Homework and Exam Solutions . In addition, you may look at a copy of solutions during my office hours (or appointment) in 484 Kerr.

Here are copies of the Course Syllabus and Supplementary Class Handouts .

Here are copies of Discussion Sheets .

Here are copies of Basic Derivative Formulas From Math 21A .

Here are Practice Exam 1 and Solutions .

Here are Practice Exam 2 and Solutions .

Here are Practice Exam 3 and Solutions .

Click here for additional optional PRACTICE PROBLEMS with SOLUTIONS found at

- HW #1 ..... p. 254: 7-10, 27, 31, 34, 39 and p. 264: 9, 20, 33c, 34

- HW #2 ..... p. 275: 2, 5, 7, 31, 33. Use the limit definition of definite integral to compute 1.) through 4.) on homework assignment sheet in syllabus.

- HW #3 ..... p. 295: 1-10, 13, 18, 19, 22, 34, 35, 38

- HW #4 ..... p. 308: 5-16, 18, 22, 24, 28, 30, 38, 39, 41, 44, 47

- HW #5 ..... p. 404: 1-26

- HW #6 ..... p. 412: 3, 5, 9, 11, 12, 14, 16, 18, 19, 22, 28, 29, 31-34, 36, 41, 42, 49

TYPES OF QUESTIONS FOR EXAM 1 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.).

- 5 -- antiderivatives (indefinite integrals)
- 1 -- Mean Value Theorem for Integrals
- 1 -- limit definition of definite integral
- 1 -- average value of a function
- 2 -- properties (e.g., even/odd function) of definite integrals
- 1 -- write limit as a definite integral
- 2 -- First Fundamental Theorem of Calculus
- 1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 1.

- 1.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
- 2.) You will be graded on proper use of limit notation.
- 3.) You will be graded on proper use of derivative and integral notation.
- 4.) Put units on answers where units are appropriate.
- 5.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.

SOLUTIONS TO EXAM 1 ARE POSTED ON THIS WEBPAGE.

THE GRADING SCALE FOR 2002 EXAM 1 IS :

A+ ...... 101 - 108

A ...... 90 - 100

B ...... 80 - 89

C ...... 69 - 79

D ...... 59 - 68

F ...... 0 - 58

- HW #7 ..... p. 419: 1, 3, 4, 5, 8, 10, 12, 13, 16, 18, 19, 33, 35, 46

- HW #8 ..... p. 427: 1, 3, 6, 8, 10, 11, 14, 18, 20, 21, 22, 24, 33, 37

- HW #9 ..... p. 438: 2, 3, 4, 8, 9, 16, 18, 22, 26, 30, 31, 49, 50

- HW #10 ..... p. 446: 1, 3, 5, 6, 10-14, 20, 21, 24, 27, 33, 35

- HW #11 ..... p. 448: 40-44, 49

- HW #12 ..... p. 421: 42, 44 ... and ... p. 405: 28, 29, 35a ... and ... (work out all of the following) p. 454: 3, 5, 10, 13, 16, 18, 20, 21, 23, 29, 32, 33, 39, 40, 42, 45, 49, 58, 68

- HW #13 ..... p. 284: 3, 6, 10, 16 ... and ... I.) and II.) on homework assignment sheet in syllabus.

- HW #14 ..... p. 375: 1-8, 13, 16, 18, 20, 23, 24, 33

- HW #15 ..... (Set up, do not evaluate integrals.) p. 478: 3, 4, 7, 8, 10, 13, 17-19, 22b, 29, 32

- u-substitution
- u-substitution and a "back" substitute
- integration by parts :
- more than once
- twice then algebraically solve

- rational functions leading to logs and arctangents
- partial fractions
- powers of trig functions
- power u-substitution
- trig substitution, for which you need :
- 1 - sin^2 W = cos^2 W
- 1 + tan^2 W = sec^2 W
- sec^2 W - 1 = tan^2 W

TYPES OF QUESTIONS FOR EXAM 2 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.).

- 7 -- integration techniques
- 2 -- estimating the value of a definite integral
- 1 -- exponential growth
- 1 -- set up a definite integral using local approximation (No kinetic energy on Exam 2, but could be on Final Exam)
- 1 -- integral table
- 1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 2.

- 1.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
- 2.) You will be graded on proper use of derivative and integral notation.
- 3.) Put units on answers where units are appropriate.
- 4.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.

SOLUTIONS TO EXAM ARE POSTED ON THIS WEBPAGE.

THE GRADING SCALE FOR 2002 EXAM 2 IS :

A+ ...... 100 - 109

A ...... 83 - 99

B ...... 70 - 82

C ...... 53 - 69

D ...... 42 - 52

F ...... 0 - 41

- HW #16 ..... (Evaluate integrals.) p. 466: 7, 10-13, 17, 20, 21, 26, 27, 29, 30 ... and ... p. 472: 10 (Set up, do not evaluate two integrals for volume.)

- HW #17 ..... (Set up, do not evaluate integrals.) p. 485: 3, 5, 7, 8, 15-17, 24

- HW #18 ..... (Evaluate integrals.) p. 485: 9-14, 21-23

- HW #19 ..... (Set up, do not evaluate integrals using SHELL METHOD. Use DISC METHOD on 12, 13b) p. 491: 3, 5-8, 11-13, 18, 20, 21, 24

- HW #20 ..... p. 498: 2-6, 8, 9, 11-13

- HW #21 ..... p. 512: 1, 3, 4, 12-14, 19, 22, 24, 31, 34ab

- HW #22 ..... p. 524: 1acd, 2acd, 4abcf, 5, 7-10, 12, 13, 17-19, 21, 23, 25, 26, 30, 32, 34, 35, 37

- HW #23 ..... p. 529: 1, 3, 4, 6, 9, 12-15, 20

TYPES OF QUESTIONS FOR EXAM 3 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.).

- 2 -- improper integrals
- 1 -- area
- 2 -- volume
- 1 -- centroid
- 1 -- polar coordinates
- 1 -- kinetic energy
- 1 -- other
- 1 -- OPTIONAL EXTRA CREDIT

HERE ARE SOME RULES FOR EXAM 3.

- 1.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
- 2.) You will be graded on proper use of derivative and integral notation.
- 3.) Put units on answers where units are appropriate.
- 4.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.

SOLUTIONS TO EXAM 3 ARE POSTED ON THIS WEBPAGE.

THE GRADING SCALE FOR 2002 EXAM 3 IS :

A+ ...... 100 - 111

A ...... 85-99

B ...... 70 - 84

C ...... 55 - 69

D ...... 44 - 54

F ...... 0 - 43

- HW # 24 ..... p. 535: 1-4, 10-12, 15, 17, 20, 21, 23-25, 29, 30, 31 (SET UP ONLY on 31).

- HW # 25 ..... p. 543: 1, 2, 5-12, 15, 16, 18, 21 ... and ... p. 567: 18.
The FINAL EXAM is Tuesday, March 19, 2002,

1:30 - 3:30 p.m.

in 198 Young

BRING A PICTURE ID TO THE EXAM

AND BE PREPARED TO SHOW IT TO KOUBA OR THE TEACHING ASSISTANT !!The final exam will cover handouts, lecture notes, and examples from class, homework assignments 1 through 25, and material from sections 5.1-5.7, 6.7, 7.1-7.7, 8.1-8.6, 8.8, 9.1-9.4, and discusssion sheets 1-10.

TYPES OF QUESTIONS FOR THE FINAL EXAM (THIS IS SUBJECT TO UNANNOUNCED CHANGES.).

- 1 -- set up a definite integral from local approximation
- 5 -- integration techniques
- 1 -- exponential growth
- 1 -- area/polar equation
- 2 -- parametric equations
- 1 -- Pappus' Theorem
- 1 -- centroid
- 1 -- arc length
- 1 -- average function value
- 2 -- volume
- 1 -- limit definition of definite integral
- 1 -- absolute convergence test
- 1 or 2 -- OPTIONAL EXTRA CREDIT (ON ANY TOPIC)

HERE ARE SOME RULES FOR THE FINAL EXAM.

- 2.) You will be graded on proper use of limit notation.
- 3.) You will be graded on proper use of derivative and integral notation.
- 4.) Put units on answers where units are appropriate.
- 5.) Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important.

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