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Math 21B (Thomas) Website
MATH 21B (SECTIONS A01-A02), 234 Wellman, 8-8:50 MWF
Instructor: Dr. D. A. Kouba
Last Updated: June 13, 2008
Text: Thomas' Calculus: Early Transcendentals (11th edition) by Weir, Hass, Giordano
Office: 3135 MSB
Phone: (530) 752-1083
Regular Office Hours: Variable (announced in class and sent via e-mail) or by appointment
Here is a list of Exam ID Numbers .
MATH21B COURSE GRADES (listed by the last six digits of your student ID number)
| TA OFFICE HOURS |
|
Lawrence Austria |
3131 MSB |
|
3:10-4:30 p.m. |
Wednesday |
| |
|
Lawrence Austria |
3131 MSB |
|
3:10-4:30 p.m. |
Thursday |
EXAM DATES :
- EXAM 1-- WEDNESDAY, April 16, 2008
- EXAM 2-- MONDAY, May 5, 2008
- EXAM 3-- FRIDAY, MAY 30, 2008
- FINAL EXAM -- TUESDAY, June 10, 2008, 3:30-5:30 p.m. in 234 Wellman
The course will likely cover the following sections in our textbook : 4.8, 5.1-5.6, 6.1-6.7, 7.1, 7.2, 8.1-8.5, 8.7, 8.8, 10.5 and 10.6
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 3135 MSB.
Here is a copy of the Course Syllabus .
Here is a copy of the Schedule of Lectures .
Here are copies of Basic Derivative Formulas From Math 21A and Trig Identities .
Here are copies of Supplementary Class Handouts .
Here are copies of Discussion Sheets .
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
THE CALCULUS PAGE .
Here are some
TIPS for doing well on my exams.
Here is an OPTIONAL EXTRA CREDIT Survey .
The following homework assignments are subject to minor changes.
- HW #1 ... (Section 4.8) ... p. 338: 2, 5, 8, 11, 15, 20, 21, 23, 26, 34, 36, 39, 46, 50, 51, 60, 62, 66, 69, 78, 79, 80, 83bc, 86bc, 88, 94, 96, 104, 120
- HW #2 ... (Sections 5.1 and 5.2) ... p. 360: 1bd, 3bd, 6, 10, 12, 19 ... and ... p. 369: 2-5, 7, 8, 11, 12, 16, 17, 20, 23, 25, 28, 29
- HW #3 ... (Section 5.3) ... p. 380: 10, 11, 13, 16, 18-20, 22, 24, 53, 65, 67, 68 (Book Error : Change integral 1 to 0 to integral 0 to 1.), 71 ... and ... Worksheet 1
- HW #4 ... (Sections 5.3 and 5.4) ... p. 381: 55, 58, 61 ... and ... p. 392: 1, 5, 8, 9, 11, 14, 15, 20, 24, 27, 29, 30, 34, 41, 44, 46, 57, 74, 76
- HW #5 ... (Section 5.5) ... p. 402: 1, 4, 6-8, 10 (Let u=1/x.), 11, 13, 16, 18, 20, 22, 23, 27, 29, 32, 33, 35, 37-39, 42, 43, 46, 47, 53
- HW #6 ... (Section 5.6) ... (Use u-substituion when appropriate.) p. 410: 2a, 4b, 7b, 11a, 16, 22, 24, 31, 41, 47, 53-55, 58, 63, 66, 68, 73, 74, 80, 85, 95, 99, 102, 106 (Set up integrals but do not evaluate.), 115
EXAM 1 is Wednesday, April 16, 2008. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 6, discussion sheets 0, 1, and 2, and material from sections 4.8 and 5.1-5.6 in the book which was presented in lecture notes through Monday, April 14, 2008. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.
TYPES OF QUESTIONS FOR EXAM 1 FOR SPRING 2008 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 5 -- Indefinite Integrals
- 2 -- Even/Odd Function
- 1 -- Properties of Definite Integral
- 1 -- Limit Definition of the Definite Integral
- 1 -- Area Using Definite Integrals
- 1 -- Average Value of a Function
- 2 -- Derivatives Using FTC1
- 1 -- Other
- 1 -- OPTIONAL EXTRA CREDIT
HERE ARE SOME RULES FOR EXAM 1.
- 0.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO HAVE ANOTHER PERSON TAKE AN EXAM FOR YOU. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
- 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 SPRING 2008 EXAM 1 IS :
A+ ...... 100 - 110
A ...... 90 - 99
A-/B+ ...... 85 - 89
B ...... 70 - 84
C ...... 50 - 69
D ...... 40 - 49
F ...... 0 - 39
- HW #7 ... (Section 6.1) ... (SET UP BUT DO NOT EVALUATE INTEGRALS.) ... p. 434: 1abd, 3, 4, 8b, 14 (Evaluate the volume integral.), 15, 16, 20-22, 25, 30, 32, 35, 40, 41, 43, 46, 47, 50-53, 58 (Evaluate the volume integral.), 63 (SET UP volume V as a function of c and stop.).
- HW #8 ... (Section 6.2) ... (SET UP BUT DO NOT EVALUATE INTEGRALS.) ... p. 443: 2-4, 6, 8, 10 (right half of region), 12, 13 (Evaluate this integral.), 15, 18, 22, 23, 25, 26, 28 (Set up the Disc Method and Shell Method for each part.), 29, 32, 34, 39 (Evaluate this integral.)
- HW #9 ...(Section 6.3) ... p. 452: 1, 2, 4, 6, 8-12, 17, 29a, 30a, 35
- HW #10 ...(Section 6.4) ... p. 463: 1, 6, 9, 12, (For the remaining problems, unless otherwise noted, you need only SET UP integrals.) 13, 15, 18, 21, 24, 27, 28, 32b, 35 (Use formulas from class and evaluate the integrals.), 40 (Evaluate the integrals.)
- HW #11 ...(Section 6.5) ... p. 474: 9, 13, 14, 17, 20, 25, 33, 34, 37
- HW #12 ...(Section 6.6) ... p. 482: 1, 2, 4, 7, 8, 9, 13 (Include the weight of the bucket when computing work.), 15a, 16a, 19, 22
- HW #13 ... (Section 6.7) ... p. 489: 2, 5a, 6, 8a, 9, 11a, 20 (Assume that olive oil has a density of about 0.034 lbs. per cubic inch.), 22
EXAM 2 is Monday, May 5, 2008. It will cover handouts, lecture notes, and examples from class, homework assignments 7 through 13, discussion sheets 3, 4, and 5 , and material from sections 6.1-6.7 in the book which was presented in lecture notes through Friday, May 2, 2008.
TYPES OF QUESTIONS FOR EXAM 2 FOR SPRING 2008 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 1 -- Volume by Cross-Sectional Area, A(x) (SET UP ONLY.)
- 4 -- Volume by Disc Method/Shell Method (SET UP ONLY.)
- 1 -- Arc Length (Evaluate integral.)
- 1 -- Area of Surface of Revolution (Evaluate integral.)
- 1 -- Moment, Mass, Centroid, or Center of Mass (SET UP ONLY.)
- 1 -- Work (SET UP ONLY.)
- 1 -- Force of Fluid Pressure (SET UP ONLY.)
- 1 -- OPTIONAL EXTRA CREDIT
HERE ARE SOME RULES FOR EXAM 2.
- 0.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO HAVE ANOTHER PERSON TAKE AN EXAM FOR YOU. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
- 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 SPRING 2008 EXAM 2 IS :
A+ ...... 100 - 110
A ...... 88 - 99
A-/B+ ...... 84 - 87
B ...... 68 - 83
C ...... 50 - 67
D ...... 40 - 49
F ...... 0 - 39
- HW #14 ... (Section 7.1) ... p. 506: 2, 3, 5-9, 12, 13, 15, 20, 22, 24, 25, 26, 28, 32, 33, 36, 39, 42, 49, 51, 53, 55, 70b
- HW #15 ... (Section 7.2) ... p. 515: 4, 5, 8, 11, 15, 18, 21 (See Newton's Law of Cooling formula on page 514. Assume that the cooling constant k is the same for both parts a and b.), 23, 25
- HW #16 ... (Section 8.1) ... p. 542: 2, 5, 8, 12, 14, 17, 22, 25, 28, 30-33, 37, 40, 42, 43, 47, 48, 55, 58, 59, 63, 68, 69, 77, 81, 92
- HW #17 ... (Section 8.2) ... p. 552: 1, 4, 5, 8, 9, 11, 23, 26, 27, 29, 30, 33, 36a, 40, 41, 42
- HW #18 ... (Section 8.3) ... p. 563: 9, 12, 13, 16, 19, 20, 21, 23, 26, 30, 33, 35, 38, 45
- HW #19 ... (Section 8.4) ... p. 569: 3, 4, 5, 7, 9, 10, 12, 14, 16, 18, 19, 23, 26, 29, 30, 34, 37, 43
- HW #20 ... (Section 8.5) ... p. 575: 1, 4, 5, 8, 11, 13, 15, 16, 18, 24, 29, 42
- HW #21 ... (Section 8.7) ... p. 597: 4 (parts a and b only), 7 (parts a and b only), 12 (In part c find exact value of integral only.), 19, 21, 24, 27, 30, 32, 50
EXAM 3 is Friday, May 30, 2008. It will cover handouts, lecture notes, and examples from class, homework assignments 15 through 21, discussion sheets 6, 7, 8, and 9, and material from sections 7.1, 7.2, 8.1-8.5, and 8.7 in the book which was presented in lecture notes through Wednesday, May 28, 2008.
TYPES OF QUESTIONS FOR EXAM 3 FOR SPRING 2008 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 1 -- Exponential Growth/Decay
- 1 -- Trapezoidal or Simpson's Rule
- 7 -- Various Integrals
- 1 -- OPTIONAL EXTRA CREDIT
HERE ARE SOME RULES FOR EXAM 3.
- 0.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO HAVE ANOTHER PERSON TAKE AN EXAM FOR YOU. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
- 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.) Do not use any shortcuts from the book when using the method of integration by parts.
- 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 3 ARE POSTED ON THIS WEBPAGE.
THE GRADING SCALE FOR SPRING 2008 EXAM 3 IS :
A+ ...... 100 - 110
A ...... 87-99
A-/B+ ...... 84 - 86
B ...... 70 - 83
C ...... 47 - 69
D ...... 35 - 46
F ...... 0 - 34
- HW #22 ... (Section 8.8) ... p. 615: 1, 4, 6, 9, 14, 15, 20, 21, 25, 30, 34, 37, 41, 42, 51, 53, 59, 67, 69, 70
- HW #23 ... (Sections 10.5 and 10.6) ... p. 702: 1, 6df, 7, 10, 13, 23, 28, 32, 34, 43, 52, 53, 57, 62 ... and ... p. 708: 1, 6, 7, 10, 18, 19, 21b, 22a, 24a, 26, 31, 33, 34, 45 (!)
- HW #24 ... (Section 10.7) ... p. 714: 3, 8, 15, 17a
The FINAL EXAM is Tuesday, June 10, 2008,
3:30-5:30 p.m.
in 234 Wellman
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 24, material from sections 4.8, 5.1-5.6, 6.1-6.7, 7.1, 7.2, 8.1-8.5, 8.7, 8.8, 10.5-10.7 and discusssion sheets 0-10.
TYPES OF QUESTIONS FOR THE FINAL EXAM FOR SPRING 2008 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.). This exam will NOT HAVE PROBLEMS on Work, Surface Area of Solid of Revolution, Limit Definition of Definite Integral, and Comparison Tests for Improper Integrals.
- 5 -- Integrals Using Any Method
- 2 -- Improper Integrals
- 1 -- Trapezoid or Simpson's Rule
- 1 -- Exponential Growth/Decay
- 2 -- Volume
- 1 -- Centroid
- 2 -- Polar coordinates-- Finding Area, Finding Slope of Graph
- 1 -- Force of Water Pressure
- 1 -- Arc Length
- 1 -- OPTIONAL EXTRA CREDIT
HERE ARE SOME RULES FOR THE FINAL EXAM.
- 0.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT'S EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO HAVE ANOTHER PERSON TAKE AN EXAM FOR YOU. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION.
- 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.
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Your comments, questions, or suggestions can be sent via e-mail to Kouba by
clicking on the following address :
kouba@math.ucdavis.edu .