Here you can find a list of Exam ID #'s
EXAM DATES :
- EXAM 1-- MONDAY, January 29, 2018
- EXAM 2-- FRIDAY, February 23, 2018
- EXAM 3-- MONDAY, March 12, 2018
- FINAL EXAM-- MONDAY, March 19, 2018, 1-3 p.m., 212 Viehmeyer
The course will likely cover the following sections in our textbook : 4.1-4.6, 5.1-5.7, 6.1-6.6, 8.5, and 9.1-9.3
Here is a Syllabus for the course.
Here is a Schedule of lectures.
Here are Math 16B . . . . . HOMEWORK Solutions . . . . . and . . . . .
EXAM Solutions
Here are copies of Handouts 1-12 .
Here are Supplementary Class Handouts .
Here are Trigonometry Review Sheets including graphs, exact values, and identities.
Here are Differentiation Rules from Math 16A.
Here is a List of Logarithm and Exponential Rules .
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Here are Practice Exam 1 and Solutions .... and another .... Practice Exam 1 and Solutions
Here are Practice Exam 2 and Solutions .... and another .... Practice Exam 2 and Solutions
Here are Practice Exam 3 and Solutions .... and another .... Practice Exam 3 and Solutions
Here are Practice Final Exam and Solutions .
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Here are some
TIPS for doing well on my exams.
This is an OPTIONAL EXTRA CREDIT survey .
Click here for additional optional PRACTICE PROBLEMS with SOLUTIONS found at
THE CALCULUS PAGE .
#### .... HOMEWORK ASSIGNMENTS .... ####
SCANNED PROBLEMS for Sections 4.1-4.6
- HW #1 ... Here are brief notes on Discrete and Continuous Compounding of Interest ... (Section 4.1) ... p. 262: 2, 4, 6, 8, 12-14, 18-24, 26, 27, 29, 32, 35, 37, 39, 40ab ..... and ..... Handout 1 . ..... and ..... SA1, SA4, SA7abc
- HW #2 ... Here is an Example of a naturally-occuring exponential function ... (Section 4.2) ... p. 270: 1, 4-6, 8, 12-18, 20, 21, 32, 36, 37, 39, 42, 44, 45 (where p is price x is units sold), 48, 53 (Solve all parts algebraically.) .... and ..... SA7d, SA7e SA8, SA17ab
- HW #3 ... (Section 4.3) ... p. 279: 2, 6, 9, 10, 12-14, 16, 17, 20, 23, 26, 27, 30, 32, 34, 39bc (Solve algebraically.), 40, 42 ..... and ..... Handout 2
- HW #4 ... Here are brief notes on differentiating the Natural Logarithm Function ... Here are brief notes explaining the formulas for differentiating Exponential Functions ... (Section 4.4) ... p. 287: 1, 7, 13-18, 20, 24, 25, 30, 39, 43, 46, 54, 57, 60, 62, 64, 67, 73, 79, 85-90 ..... and ..... These ..... and ..... SA2, SA7fghi, SA17cde
- HW #5 ... (Section 4.5) ... p. 296: 4, 6, 7, 10, 11, 13, 14, 17, 20, 22, 23, 26, 27, 29, 31, 34, 37, 40, 41, 43, 46, 48, 49, 51, 52, 60, 61, 66, 67, 69, 72, 82bcd (Solve algebraically.) ..... and ..... Handout 3 ..... and ..... SA7j, SA14
- HW #6 ... Here is a Carbon Dating Problem and its Solution , which we will do in class ... (Section 4.6) ... p. 305: 1, 9, 11, 18, 19, 23ab, 40, 44, 46, 48 ..... and ..... SA3 ..... Here is a link with more information about the process of Carbon Dating ... Please read the following link about the discovery of a giant, prehistoric monster-sized crocodile . Estimate the percentage of Carbon 14 remaining in the crocodile fossil, Machimosaurus rex, at the time of its discovery.
SCANNED PROBLEMS for Sections 5.1, 5.2
- HW #7 ... (Section 5.1) ... p. 326: 2, 5, 9, 12, 13, 15, 18, 22, 24, 25, 34, 36, 41, 44, 45, 49, 51, 54, 56, 57, 59, 60, 75-78 ..... and ..... Handout 4 ..... and ..... SA5ab ..... and ..... Gravity Problems
- HW #8 ... (Section 5.2) ... p. 335: 9, 12, 15, 18, 21, 24, 27, 32, 33, 41, 42, 47, 55, 59, 60 ..... and ..... SA6abc
EXAM 1 is Monday, January 29, 2018. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 8, and material from sections 4.1-4.6, 5.1, 5.2 in the book which was presented in lecture notes through Friday, January 26, 2018.
TYPES OF QUESTIONS FOR EXAM 1 FOR SPRING 2017 (subject to change)
- 4 -- Anti-Derivatives
- 4 -- True or False Questions
- 1 -- Implicit Differentiation
- 1 -- Gravity Problem
- 1 -- Discrete or Continuous Compounding of Interest
- 1 -- Exponential Growth/Decay
- 1 -- Extrema/Inflection Point Problem Using First and/or Second Derivatives
- 3 -- Others
- 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 HAVE ANOTHER PERSON TAKE YOUR 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.
- 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 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.
Most of the exam questions will be homework-type, practice exam-type questions. There will be an OPTIONAL EXTRA CREDIT problem on the exam.
THE GRADING SCALE FOR EXAM 1 FOR WINTER 2018 IS :
A+ ...... 100-108
A ...... 90-99
A-/B+ ...... 85-89
B ...... 70-84
C ...... 50-69
D ...... 34-49
F ...... 0-33
SCANNED PROBLEMS for Section 8.5
- HW #9 ... (Section 8.5) ... Here is a sheet with Trig Derivatives (Memorize these.), Integrals (Memorize these.), and Identities (You need not memorize these.) ... p. 594: 1, 5-7, 10-12, 14, 16, 22, 26, 32-34 ..... and ... Handout 5 ..... and ..... SA9
SCANNED PROBLEMS for Sections 5.3-5.7
- HW #10 ... (Section 5.3) ... p. 342: 1, 3, 6, 10, 11, 14, 15, 20, 24-26, 30, 31, 34, 36, 38, 39, 41, 42, 44, 47, 49, 51-53, 57, 58, 63, 64 ..... and ..... SA10ab ..... and ..... (section 8.5) p. 594: 13, 15, 17, 19-21, 23-25, 27, 28, 30
- HW #11 ... (Section 5.4) ... p. 353: 1, 3, 6, 7, 10, 11, 13, 15, 18, 19, 22, 23, 28, 31, 34, 37, 40, 44, 46, 50, 53, 54, 56, 58, 59, 63, 65, 67, 69, 70, 73, 74, 90, 91 ..... and ..... Handout 6 ..... and ..... SA10C
- HW #12 ... (Section 5.5) ... p. 362: 2-4, 6, 8, 10, 12-15, 17, 19, 23, 26, 28, 29, 33, 35, 37, 40 ..... and ..... Handout 7
- HW #13 ... (Section 5.6) ... p. 369: 1, 3, 7, 12, 18, 19, 21, 23, 26, 31, 32 (Find T8 and M4.) ..... and ..... p. 362: 51, 52 (Assume N1(t)and N2(t) have units people/week, not people.) ...... and ..... Handout 8 ..... and ..... SA11
********* Here is Section 5.7 content from the textbook *********
- HW #14 ... (Section 5.7) ... p. 376: 1, 2, 6, 8, 10, 12, 14, 16, 25, 27, 30, 31 ..... and ..... Applications of Definite Integrals
- HW #15 ... (Section 5.7) ... p. 376: 17, 18, 20, 22, 26, 28, 29 ..... and ..... Handout 9
SCANNED PROBLEMS for Sections 6.1, 6.2
- HW #16 ... (Section 6.1) ... p. 394: 1, 4, 6, 7, 10, 11, 13, 16-20, 23, 27, 29, 31, 34, 35, 37, 40, 41, 44, 47, 58, 65 ..... and ..... Handout 10
- HW #17 ... (Section 6.2) ... Here is a derivation of the Integration by Parts formula ... p. 403: 2, 5, 7, 9, 11, 13, 16-19, 21, 22, 24, 27, 32, 33, 38, 40, 49, 51, 54b, 59, 61a
EXAM 2 is Friday, February 23, 2018. It will cover handouts, lecture notes, and examples from class, homework assignments 9 through 17, and material from sections 8.5, 5.3-5.7, 6.1, 6.2 in the book which was presented in lecture notes through Wednesday, Fevruary 21, 2018.
TYPES OF QUESTIONS FOR EXAM 2 FOR WINTER 2018 (subject to change)
- 6-- Indefinite Integrals (Using any Method: forimulas, trig identities, standard u-substitution, u-substitution with a back substitute, power u-substitution, and integration by parts (one time only for this exam))
- 1-- Midpoint or Trapezoidal Estimate
- 2-- Area of Region (Using dx or dy)
- 1-- Average Value of Function on Interval [a, b]
- 3-- Volume of Solid of Revolution (Around x-axis, y-axis, or any vertical or horizontal line)
- 1-- Other
- 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. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO HAVE ANOTHER PERSON TAKE YOUR 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.
- 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 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.
THE GRADING SCALE FOR EXAM 2 FOR WINTER 2018 IS :
A+ ...... 100-108
A ...... 90-99
A-/B+ ...... 85-89
B ...... 67-84
C ...... 49-66
D ...... 39-48
F ...... 0-38
SCANNED PROBLEMS for Sections 6.2-6.6
- HW #18 ... (Section 6.2) ... p. 403: 3, 4, 19, 28, 29 ..... and ..... Handout 13
- HW #19 ... (Section 6.3) ... p. 413: 2, 6, 8, 12, 13, 18, 20, 26, 29, 30, 35, 38, 42, 44, 53 ..... and ..... Handout 11
- HW #20 ... (Section 6.6) ... p. 444: 1-10, 12, 14-16, 18, 19, 22-26, 29, 30 ..... and ..... more Improper Integrals ..... and ..... SA13
- HW #21 ... (Section 6.4) ... p. 424: 14, 16, 20, 22, 34, 54, 56, 58, 60 ..... and ..... Handout 12
- HW #22 ... (Section 6.5) ... This link briefly explains the Plausibility of Simpson's Rule ... Here is a detailed development and derivation of the Trapezoidal Rule Error Formula ... p. 433: 1, 4, 10, 14, 18, 20, 29, 31, 32, 36, 38, 48 ..... and .....
SA12
EXAM 3 is Monday, March 12, 2018. It will cover handouts, lecture notes, and examples from class, homework assignments 17 through 22, and material from sections 5.7 and 6.2-6.6 which was presented in lecture notes through Friday, March 9, 2018.
Bring it ...
TYPES OF QUESTIONS FOR EXAM 3 FOR WINTER 2018 (subject to change)
- 1-- Absolute Error Problem for Trapezoidal or Simpson's Rule
- 1-- Trapezoidal Rule or Simpson's Rule Problem
- 1-- Integration Table Problem
- 3-- Improper Integrals
- 5-- Indefinite Integrals (Using any method--formulas, trig identities, standard u-substitution, u-substitution with a back substitute, power u-substitution, partial fractions, integration by parts, integration by parts more than once, integration by parts twice with a twist.)
- 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. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO HAVE ANOTHER PERSON TAKE YOUR 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.
- 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 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.
THE GRADING SCALE FOR EXAM 3 FOR WINTER 2018 IS :
A+ ...... 100-108
A ...... 88-99
A-/B+ ...... 84-89
B ...... 67-83
C ...... 51-66
D ...... 36-50
F ...... 0-35
SCANNED PROBLEMS for Sections 9.1-9.3
- HW #23 ... (Section 9.1) ... p. 622: 1-7, 10, 11, 13, 22, 24, 25, 27, 29, 31, 32 ..... and .....
SA15
- HW #24 ... (Section 9.2) ... p. 631: 6, 9, 10, 13, 14, 16, 19, 22-25, 27, 28, 33 ..... and .....
SA16
- HW #25 ... (Section 9.3) ... p. 641: (Also find median for problems 1, 4, 5, and 10) 1, 4, 5, 10, 11, 35, 42, 43
The FINAL EXAM is
Monday, March 19, 2018, 1-3 p.m. in 212 Veihmeyer
BRING A PICTURE ID TO THE EXAM
AND BE PREPARED TO SHOW IT TO KOUBA OR THE TEACHING ASSISTANTS !!
The final exam will cover handouts, lecture notes, and examples from class, homework assignments 1 through 25, and material from sections 4.1-4.6, 5.1-5.7, 6.1-6.6, 8.5, and 9.1-9.3. Use your three hour exams, 25 homework assignments, and the practice exams as a guide to your preparing for the final exam.
TYPES OF QUESTIONS FOR THE FINAL EXAM FOR WINTER 2018 (subject to change)
- 7 -- Indefinite Integrals Using Any Method
- 3 -- Volume of Solid of Revolution (Around x-axis, y-axis, vertical line, or horizontal line)
- 2 -- Find Area of Region (Using dx or dy)
- 1 -- Continuous or Discrete Compound Interest
- 1 -- Improper Integral
- 1 -- Absolute Error for Midpoint, Trapezoidal, or Simpson's Rule
- 1 -- Exponential Growth/Decay
- 1 -- Probability Density Function (Mean, Median, Variance, Standard Deviation, Probability)
- 1 -- Discrete Probability
- 1 -- Other
- 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 HAVE ANOTHER STUDENT TAKE YOUR 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 may NOT use L'Hopital's Rule to compute limits on this exam.
- 3.) You may NOT use shortcuts from the textbook for finding limits to infinity.
- 4.) You need NOT MEMORIZE trigonometry identities. A short list of identities will be provided on the front cover of the exam.
- 5.) Using only a calculator to determine the value of limits will receive little or no credit.
- 6.) You will be graded on proper use of limit notation.
- 7.) Put units on answers where units are appropriate.
- 8.) 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 .