MATH 21A (SECTION 001), Summer Session I, 1130 Hart, 8-9:40 MTWR
Instructor: Dr. D. A. Kouba
Last Updated: August 11, 2006
Text: Thomas' Calculus: Early Transcendentals (11th edition) by Weir, Hass, Giordano
Office: 3135 MSB
Phone: (530) 752-1083
Regular Office Hours: 10-11 am MTWR or by appointment
Please read the Mathematics Placement REQUIREMENTS to enroll in Math 21A.
Here are Math 21A COURSE GRADES for Summer Session I 2006.
QUIZ AND EXAM DATES :
- Quiz 1 (HW #'s 1-4) -- Wednesday, June 28, 2006
- Quiz 2 (HW #'s 4 and 5) -- Monday, July 3, 2006
- EXAM 1-- Thursday, July 6, 2006
- Quiz 3-- (HW #'s 7-10) Wednesday, July 12, 2006
- Quiz 4-- (HW #'s 11-14) Tuesday, July 18, 2006
- EXAM 2-- Thursday, July 20, 2006
- Quiz 5-- (HW #'s 16-18) Wednesday, July 26, 2006
- Quiz 6-- (HW #'s 19-21) Tuesday, August 1, 2006
- EXAM 3-- Wednesday, August 2, 2006
The course will likely cover the following sections in our textbook : 2.1-2.7, 3.1-3.10, 4.1-4.6
SOLUTIONS TO ALL HOMEWORK ASSIGNMENTS AND HOUR EXAMS CAN BE VIEWED ON THE INTERNET at
Math 21A Homework, Quiz, 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 Supplementary Class Handouts .
Here are copies of Discussion Sheets .
Here are Basic Math Formulas for various geometric shapes.
Here are Trig Review Sheets .
Click here for additional optional PRACTICE PROBLEMS with SOLUTIONS found at
THE CALCULUS PAGE .
Here are some
TIPS for doing well on my exams.
The following homework assignments are subject to minor changes.
- HW #1 ... (Section 2.1) ... p. 75: 1, 2, 3, 5, 24, 26, 27, (See definition of average rate of change, ARC, on page 69.) 30, 32, 33 ... and ... Worksheet 1
- HW #2 ... (Section 2.2) ... p. 83: 7, 15, 18, 20, 23, 26, 27, 31, 34, 39, 50, 51a, 56, 57a, 58
- HW #3 ... (Section 2.4) ... p. 106: 2 (Omit j. and k.), 3, 7, 12, 15, 17b, 23, 24, 26, 27, 29, 32, 33, 34, (Use the Squeeze principle on the next 4 problems.) 43, 45, 47, 49, 54, 58, 63, 64, 74
- HW #4 ... (Section 2.5) ... p. 117: 1, 3, 6, 8, 13, 14, 18, 22, 23, 26, (Use intercepts, vertical asymptotes, horizontal asymptotes, and tilted asymptotes to sketch graphs for each of the the following four problems.) 28, 31, 34, 38, 40, 41
- HW #5 ... (Section 2.6) ... p. 129: (For the first three problems clearly state and give brief reasons where each function is continuous.) 16, 20, 26, 38, 39, 40 ... and I.) Use the IMVT to prove that x^3=x+2 has a solution. ... II.) Use the IMVT to prove that 2+ sin x = x has a solution. ... and ... Worksheet 2
- HW #6 ... (Section 2.3) ... Worksheet 3
EXAM 1 is Thursday, July 6, 2006. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 6, discussion sheets 1, 2, and 3 (except problem 7) and material from sections 2.1-2.6 in the book which was presented in lecture notes through Monday, July 3, 2006. MOST of the exam questions will be homework-type, discussion sheet-type, practice exam-type questions.
TYPES OF QUESTIONS FOR EXAM 1 FOR SUMMER 2006 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 5 -- Compute Limits
- 1 -- Squeeze Principle
- 1 -- Domain and Range
- 1 -- Continuity
- 1 -- IMVT
- 1 -- Epsilon/Delta Proof
- 1 -- Asymptotes (horizontal, vertical, or tilted)
- 1 -- Other
- 1 -- OPTIONAL EXTRA CREDIT
HERE ARE SOME RULES FOR EXAM 1.
- 1.) 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. 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.
- 2.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
- 3.) You will be graded on proper use of limit notation.
- 4.) You will be graded on proper use of derivative and integral notation.
- 5.) Put units on answers where units are appropriate.
- 6.) 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 SUMMER 2006 EXAM 1 IS :
A+ ...... 100-110
A ...... 90-99
A-/B+ ...... 85-89
B ...... 70-84
C ...... 58-69
D ...... 48-57
F ...... 0-47
- HW #7 ... (Section 2.7) ... p. 136: 1, 2, 3, (Use the limit definition of derivative to find all derivatives.) 5, 8, 12, 18, 22, 24, (Find f'(0) or show that it DNE.) 31, 32, 36, 37 ... and ... (Section 3.1) ... p. 152: (Use the limit definition of derivative to find all derivatives.) 6, 11, 13, 27-30, 32a, 40, 42, 43
- HW #8 ... (Section 3.2) ... p. 167: 2, 7, 8, 14, 17, 20, 27, 30, 32, 35, 36, 41a, 43, 45, 48a ... and ... Worksheet 4
- HW #9 ... (Section 3.3) ... p. 177: 1, 4, 7, 10, 12, 15, 20a, 26, 29
- HW #10 ... (Section 3.4) ... p. 186: 1, 2, 5, 8, 9, 14, 18, 26b, 28, 29, 36 (Find points only.), 38, 39, 40, 42, 44, 48, 49
- HW #11 ... (Section 3.5) ... p. 199: (Use chain rule shortcuts. Do not simplify answers.) 9, 14, 15, 17, 22, 28, 33, 36, 40, 41, 46, 48, 54, 55, 57, 60, (Simplify answers for the next three problems.) 61, 64, 65, 75
- HW #12 ... (Section 3.5) ... p. 199: 81, 82, 84, 85, 88, 90, 92, 93, 96, 98, 101, 103, 105, 108, 111, 114, 121
- HW #13 ... (Section 3.6) ... p. 209: 19, 22, 24, 27, 30, 32, (Simplify answers for 37 and 42.) 37, 42, 55, 57, 60, 69, 73
- HW #14 ... (Section 3.7) ... p. 221: 11, 16, 19, 20, 22, 25, 28, 30, 32, 37, 39, 40, 51, 54, 59, 61, 65, 66, 68, 71, 74, 82, 85, 86, 90, 92, 93, 96
- HW #15 ... (Section 3.8) ... p. 230: 2, 3, 5, 8, 13-15, 19, 25, 27, 29, 34, 36, 43-46, 49, 52, 55, 57, 62, 64, (Simplify answers for the next three problems.) 67, 69, 70, 75, 76
EXAM 2 is Thursday, July 20, 2006. It will cover handouts, lecture notes, and examples from class, homework assignments 7 through 15, discussion sheets 4, 5, 6, and 7, and material from sections 2.7, 3.3-3.8 in the book which was presented in lecture notes through Tuesday, July 18, 2006.
TYPES OF QUESTIONS FOR EXAM 2 FOR SUMMER 2006 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 6 -- Differentiate Using Various Rules
- 1 -- Limit Definition of Derivative
- 1 -- Sketch f' from Graph of f
- 1 -- Implicit Derivatives
- 1 -- Sign Charts for f' and f''
- 2 -- Inverse Trig Derivatives
- 1 -- Parametric Equations
- 2 -- Others
- 1 -- OPTIONAL EXTRA CREDIT
HERE ARE SOME RULES FOR EXAM 2.
- 1.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. 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.
- 2.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
- 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 ARE POSTED ON THIS WEBPAGE.
THE GRADING SCALE FOR SUMMER 2006 EXAM 2 IS :
A+ ...... 100-110
A ...... 89-99
A-/B+ ...... 85-88
B ...... 72-84
C ...... 55-71
D ...... 40-54
F ...... 0-39
- HW #16 ... (Section 3.9) ... p. 236: 10-15, 17, 21-24, 27, 30, 31
- HW #17 ... (Section 3.10) ... p. 251: 1, 3, 6ade, 15, 16acd, 17a, 51-55, 61, 62, 65 ... and ... Use differentials to estimate the exact values of (and a calculator to determine a percentage errors) ... 1.) .. sqrt{90} ... 2.) .. (2.0002)^{25} ... 3.) .. cos(0.01) ... 4.) .. ln(1.1)
- HW #18 ... (Section 4.1) ... (Set up a sign chart for f ' to determine the absolute and relative maximum and minimum values of f.) p. 272: 39, 42, 43, 47, 49, 51, 68a, 71 ... and ... (Section 4.3) ... (Set up a sign chart for f ' to determine the absolute and relative maximum and minimum values of f.) p. 289: 4, 5, 18, 21, 29
- HW #19 ... (Section 4.4) ... (Follow the instructions from the Detailed Graphing Handout.) p. 298: 1, 2, 10, 15, 19, 21, 23-25, 29, 36, 42
- HW #20 ... (Section 4.2) ... p. 282: 1-5, 7 (and find c), 10 (and find c), 33-35, 45, 46, 58
- HW #21 ... (Section 4.5) ... p. 309: 1, 2, 4, 5, 7, 9a, 11, 12, 14, 19, 20, 32, 44
- HW #22 ... (Section 4.6) ... p. 323: 7, 10, 13-15, 18, 20, 21, 24, 26, 27, 29, 32, 34, 35, 41, 44, 46, 49, 52-56, 65
EXAM 3 is Wednesday, August 2, 2006. It will cover handouts, lecture notes, and examples from class, homework assignments 16 through 22, discussion sheets 8 and 9, and material from sections 3.9, 3.10, 4.1-4.6 in the book which was presented in lecture notes through Tuesday, August 1, 2006.
TYPES OF QUESTIONS FOR EXAM 3 FOR SUMMER 2006 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.)
- 2 -- Use Differentials
- 2 -- Related Rates
- 3 -- Applied Maximum-Minimum
- 3 -- Detailed Graphing (or specific parts of detailed graphing)
- 4 -- L'Hopital's Rule
- 1 -- MVT
- 1 -- OPTIONAL EXTRA CREDIT
HERE ARE SOME RULES FOR EXAM 3.
- 1.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. 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.
- 2.) IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM ANOTHER STUDENT's EXAM.
- 3.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
- 4.) You will be graded on proper use of derivative notation.
- 5.) Put units on answers where units are appropriate.
- 6.) 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 little or no 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 SUMMER 2006 EXAM 3 IS :
A+ ...... 100-110
A ...... 89-99
B ...... 74-88
C ...... 53-73
D ...... 38-52
F ...... 0-37
The FINAL EXAM is .....
.....
in 1130 Hart
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 ..... and discusssion sheets 0-10.
TYPES OF QUESTIONS FOR THE FINAL EXAM FOR SUMMER 2006 (THIS IS SUBJECT TO UNANNOUNCED CHANGES.).
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- 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. 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 .