Here is a link showing the days and times for the Math 17ABC Calculus Room .
TA OFFICE HOURS 

Zheqing Zhang 
2229 MSB 

3:30 p.m.  4:30 p.m. 
TUESDAY 


Lang Mou 
3229 MSB 

3 p.m.  4 p.m. 
WEDNESDAY 


Jon Robey 
2229 MSB 

2 p.m.  3 p.m. 
THURSDAY 


Joe Corliss 
2139 MSB 

3 p.m.  4 p.m. 
THURSDAY 


Eric Samperton 
2137 MSB 

4 p.m.  5 p.m. 
THURSDAY 
EXAM DATES :
 EXAM 1 FRIDAY, OCTOBER 14, 2016
 EXAM 2 WEDNESDAY, November 2, 2016
 EXAM 3 WEDNESDAY, November 30, 2016
 FINAL EXAM  MONDAY, December 5, 2016, 3:305:30 p.m., in 1100 Social Sciences
The course will likely cover the following sections in our textbook : 1.11.3, 2.12.3, 3.13.5, 4.14.8, 5.15.5, 5.7
Here is a Course Syllabus .
Here is a Schedule of lectures.
Here are Basic Math Formulas .
Here are Trigonometry Graphs, Values, and Identities .
Here are discussion sheets (Solutions will not be provided for discussion sheets. Please work on your own or with classmates, TA's, or me to solve these problems.) :
Sheet 1 ,
Sheet 2 ,
Sheet 3 ,
Sheet 4 ,
Sheet 5 ,
Sheet 6 ,
Sheet 7 ,
Sheet 8 ,
Sheet 9 ,
Sheet 10
Here are Math 17A ... HOMEWORK Solutions . . . and . . .
EXAM Solutions .
Here are Supplementary Class Handouts .
Here are Practice Exam 1 and Solutions .
Here are Practice Exam 2 and Solutions .
Here are Practice Exam 3 and Solutions .
These are the OPTIONAL EXTRA CREDIT Survey and Short Paper .
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 a November 13, 2007, New York Times article about the swarming theory of animals studied by a
mathematical biologist .
SCANNED PROBLEMS for Chapter 1
 HW #1 ... (Section 1.1) ... p. 13: 3ab,4a, 5ab, 8, 12, 15, 18, 20, 25, 28, 30, 31, 44, 46, 47, 51, 52, 55, 59, 62, 63, 65, 67, 71, 74ab, 75ab, 77abc, 81a, 82b, 84c, 87, 90, 102
 HW #2 ... (Section 1.2) ... p. 34: 1, 2, 7, 8, 12, 16, 31, 33, 36, 56, 58, 59, 60 (Change grams to micrograms.) and add part c.) 1 microgram, 62, 64, 65, 69bcd, 70, 75, 81bde, 82adf, 83c, 84d, 99
 HW #3 ... (Section 1.3) ... p. 52: 1, 2, 5, 6, 8, 9, 11, 15, 17, 23, 30, 100
SCANNED PROBLEMS for Chapter 2
 HW #4 ... (Section 2.1) ... p. 67: 1, 4, 59, 12, 13, 17, 20, 22, 26, 29, 37, 42, 47, 54
 HW #5 ... (Section 2.2) ... p. 78: 2, 9, 10, 1922, 2631, 34, 38, 39, 43, 45, 49, 50, 54, 61, 66, 68, 70, 72, 75, 78, 81, 83, 88, 91, 93, 96, 100, 105, 106, 109 ... and ... Epsilon,N Proof Worksheet
 HW #6 ... (Section 2.3) ... p. 88: 1, 3, 6, 8, 9, 12, 14, 15, 20, 21, 24, 55, 57 (Make a conjecture about the behavior of Nt/Nt1 as t gets large.)
SCANNED PROBLEMS for Chapter 3
 HW #7 ... (Section 3.1) ... (Use arithmetic and algebra as done in class to write solutions to limit problems) p. 101: 2, 3, 6, 7, 9, 10, 11, 13, 21, 23, 24, 26, 28, 29, 32, 34 (Use algebra and approved shortcuts.), 36, 41, 47, 49, 50, 54
 HW #8 ... (Section 3.2) ... p. 108: 3, 5, 7 (Insert f(x)=a if x=3.) , 8, 9 (Insert f(x)=0 if x=3.), 1012 ... and ... Worksheet 1
 HW #9 ... (Section 3.3) ... p. 113: 13, 810, 1316, 1824, 27, 29
EXAM 1 is Friday, October 14, 2016. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 9, discussion sheets 1,2,3, and 4 (problems 17 only) and material from sections 1.11.3, 2.12.3, and 3.13.3 in the book which was presented in lecture notes through Wednesday, October 12, 2016. Most of the exam questions will be similar to problems presented in class, homework problems, or discussion sheet problems. There will be an OPTIONAL EXTRA CREDIT problem on the exam.
TYPES OF QUESTIONS FOR EXAM 1 FOR FALL 2016 (subject to change)
 4 or 5 Various Limits
 1 or 2 Domain and Range of Function
 1 Recursion, Initial Value, Exponential Growth/Decay Problem
 1 Continuity
 1 Epsilon/N Proof
 1 Find Fixed Points for Recursion
 2 or 3 Find Formula for Sequence
 1 BevertonHolt Recursion
 1 or 2  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 COPY ANSWERS FROM ANOTHER STUDENT'S 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.
 2.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM.
 3.) You may NOT use L'Hopital's Rule to compute limits on this exam.
 4.) You may NOT use shortcuts from the textbook for finding limits to infinity.
 5.) Using only a calculator to determine the value of limits will receive little 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.
THE GRADING SCALE FOR EXAM 1 FOR FALL 2016 IS :
A+ ...... 100108
A ...... 9099
A/B+ ...... 8789
B ...... 6886
C ...... 4867
D ...... 3547
F ...... 034
 HW #10 ... (Section 3.4) ... p. 118: 1, 4ac, 516, 19, 20
 HW #11 ... (Section 3.5) ... p. 122: 2, 4, 5, 7, 9a(first use the IMVT to prove that the equation is solvable. Change the function from 3x^34x^2x+2 to 3x^34x^2x+3) ... Complete the Bisection Method in the following TABLE by assuming that f(x)=ln(x+1)+x1=0 is solvable on the interval [0, 1] and estimating the value of the solution to two decimal places.
SCANNED PROBLEMS for Chapter 4
 HW #12 ... (Section 4.1) ... (Use the limit definition to compute all derivatives.) ... p. 143: 1, 2, 5, 10,13, 21, 23a, 24a, 25, 26, 30, 35, 38, 39, 42 (Assume that s'(t)=32t.), 49, 51, 58, 64, 67, 68 ... and ... Worksheet 2
 HW #13 ... (Section 4.2) ... p. 149: 1, 4, 6, 10, 16, 1820, 25, 30, 32, 37, 44, 50, 60, 64, 67, 69, 73, 75, 78 (Note that the point (0,1) is NOT on the graph of y=x^2.), 80 (Note that the point (1/2,3) is NOT on the graph of y=x^2+2x.)
 HW #14 ... (Section 4.3) ... p. 158: 1, 4, 6, 9, 17, 23, 26, 28, 35, 36, 38, 43, 47, 48, 49, 52, 65, 72, 73, 83, 87, 94
 HW #15 ... (Section 4.4) ... p. 172: 2, 5, 9, 12, 16, 17, 19, 24, 27, 34a, 35b, 37, 38, 43, 47, 48, 5055, 60a, 61, 63, 65, 6971, 74, 80, 86ab ... and ... Gravity Problems ... and ... Here a link describing the meaning of
jerk as an application of the third derivative. What are snap, crackle, and pop ? ...
EXAM 2 is Wednesday, November 2, 2016. It will cover handouts, lecture notes, and examples from class, homework assignments 10 through 15, discussion sheets 4 (problems 8 and 9 only), 5, 6, and material from sections 3.4, 3.5 and 4.14.4 in the book which was presented in lecture notes through Monday, October 31, 2016. You are expected to memorize all the shortcut rules for differentiation presented in class. Most of the exam questions will be similar to problems presented in class, homework problems, or discussion sheet problems.
MEMORIZE the following list of derivative rules.
 D(c) = 0
 D(mx+b) = m
 D(f(x) +/ g(x)) = f'(x) +/ g'(x)
 D(c f(x)) = c f'(x)
 D(x^n) = n x^(n1)
 (Product Rule) ... D(f(x)g(x)) = f(x)g'(x) + f'(x)g(x)
 (Triple Product Rule) ... D(f(x)g(x)h(x)) = f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)
 (Quotient Rule) ... D(f(x)/g(x)) = {g(x)f'(x)  f(x)g'(x)}/[g(x)]^2
 (Chain Rule) D f(g(x)) = f'(g(x)) g'(x)
TYPES OF QUESTIONS FOR EXAM 2 FOR FALL 2016 (subject to change)
 3  Use Rules of Differentiation
 1  Intermediate Value Theorem
 1  Limit Definition of Derivative
 1  Bisection Method
 1  ARC (Average Rate of Change)/IRC (Instantaneous Rate of Change)
 1  Implicit Differentiation
 1  Related Rates
 1  Sketch Graph of f' Using Graph of f
 1 or 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. 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 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.
 2.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A
CALCULATOR ON THIS EXAM.
 3.) You may NOT use L'Hopital's Rule to compute limits on this exam.
 4.) You may NOT use shortcuts from the textbook for finding limits to infinity.
 5.) You need NOT MEMORIZE trigonometry identities. A short list of identities will be provided on the front cover of the exam.
 6.) Using only a calculator to determine the value of limits will receive little credit.
 7.) You will be graded on proper use of limit and derivative notation.
 8.) Put units on answers where units are appropriate.
 9.) 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.
THE GRADING SCALE FOR EXAM 2 FOR FALL 2016 IS :
A+ ...... 100108
A ...... 9099
A/B+ ...... 8789
B ...... 7086
C ...... 5069
D ...... 3549
F ...... 034
 HW #16 ... (Section 4.5) ... p. 177: 1, 5, 6, 9, 11, 13, 14, 1719, 21, 24,2729, 32, 37, 41, 44, 46, 48, 51, 55, 56, 57, 59 (on interval [0, 2 pi]), 60 (on interval [0, 2 pi]), 63, 65, 69, 70, 71, 73 (on interval [0, 4])
 HW #17 ... (Section 4.6) ... p. 181: 1, 4, 8, 9, 11, 13, 14, 17, 20, 21, 24, 29, 33, 37, 42, 49, (Use the limit definition of the derivative to solve problems 5356.) 5356, 59, 60, 61, 64, 70, 71, ... Find more information about carbon dating here and here ... (For the following two problems assume that dW/dt=kW for radioactive decay, so that W=W(0) e^{kt}, where W(0) is the initial amount of radioactive material.) 72, 73 ... and ... I. Initially, a bacterial culture weighs 50 grams. In 4 hours it weighs 85 grams. Assuming exponential growth, find the growth equation for this culture. a.) What is the mass of the culture in 6 hours ? b.) When will the culture have a mass of 200 grams ? ... II. The halflife of radioactive radium is 1600 years. If a sample containing 20% of the original amount remains, how old is the sample ? ... and ... III. Estimate the percentage of carbon14 in Kwaday Dan Sinchi by assuming he died in 1400 and the halflife of carbon14 is about 5730 years.
 HW #18 ... (Section 4.7) ... p. 192: 2, 5, 7, 11, 15, 26, 31, 34, 36, 37, 4547, 49, 51, 58, 60, 63, 67, 7173, 76 ... Here are some Inverse Function notes and problems ... Here are some alligator
facts ...
 HW #19 ... (Section 4.8) ... p. 198: 2, 3, 9, 11, 17, 22, 32, (Use the differential for the remaining problems.) 37, 38, (Only estimate the maximum absolute % error for f in the next 3 problems.) 41, 43, 44, 45, 46
SCANNED PROBLEMS for Chapter 5
 HW #20 ... (Section 5.1) ... p. 213: 35, 36, 38, 40, 41, 44, 48, 55
 HW #21 ... (Section 5.2) ... (Do Detailed Graphing using these INSTRUCTIONS for the first nine problems.) p. 222: 2, 6, 7, 10, 14, 15, 17, 19, 20, 28, 29, 30, 33, 34, 37, 41, 42, 43
 HW #22 ... (Section 5.3) ... (Do Detailed Graphing using these INSTRUCTIONS for all problems.) p. 235: 1, 2, 7, 12, 14, 16, 22 (Assume domain is all xvalues. Assume that limit (x to infinity) of x/e^x is 0.), 28, 33, 36, 37 (Rewrite the function to be f(x)= (2x^26)/(x+2). Note that oblique asymptote means the same as tilted asymptote.)
 HW #23 ... (Section 5.4) ... p. 243: 1, 36, 9, 11ab, 13, 17, 19a ... and ... Worksheet 3 ... ( Worksheet 3 Solutions )
EXAM 3 is Wednesday, November 30, 2016. It will cover handouts, lecture notes, and examples from class, homework assignments 16 through 23, discussion sheets 7, 8, and 9 and material from sections 4.54.8 and 5.15.4 which was presented in lecture notes through Monday, November 28, 2016. You are expected to know the 19 rules of differentiation, which are posted below. Most of the exam questions will be similar to problems presented in class, homework problems, or discussion sheet problems.
MEMORIZE the following list of derivative rules.
 D(c) = 0
 D(mx+b) = m
 D(f(x) +/ g(x)) = f'(x) +/ g'(x)
 D(c f(x)) = c f'(x)
 D(x^n) = n x^(n1)
 (Product Rule) ... D(f(x)g(x)) = f(x)g'(x) + f'(x)g(x)
 (Triple Product Rule) ... D(f(x)g(x)h(x)) = f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)
 (Quotient Rule) ... D(f(x)/g(x)) = {g(x)f'(x)  f(x)g'(x)}/[g(x)]^2
 (Chain Rule) D f(g(x)) = f'(g(x)) g'(x)
 D e^x = e^x
 D a^x = a^x ln a
 D ln x = 1/x
 D log_b x = (1/x) (1/ln b)
 D(sin x) = cos x
 D(cos x) =  sin x
 D(tan x) = sec^2 x
 D(sec x) = sec x tan x
 D(cot x) =  csc^2 x
 D(csc x) =  csc x cot x
TYPES OF QUESTIONS FOR EXAM 3 FOR FALL 2016 (subject to change)
 4  Use Rules of Differentiation
 1  Linearize Function or Use Linearization to Estimate Value of Number
 1  Use Differentials to Estimate Absolute Percentage Error
 1  Derivative of Inverse Function
 1  Exponential Growth/Decay
 1  Mean Value Theorem
 2 or 3  Complete Detailed Graphing or Parts of Detailed graphing
 2 or 3  Maximum/Minimum Problems
 1 or 2  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 COPY ANSWERS FROM ANOTHER STUDENT'S 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.
 2.) 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.
 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 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 FALL 2016 IS :
A+ ...... 100108
A ...... 9099
A/B+ ...... 8789
B ...... 7084
C ...... 5069
D ...... 3549
F ...... 034
 HW # 24 ... (Section 5.5) ... p. 252: 2, 3, 69, 11, 13, 14, 15, 1921, 23, 24, 26, 30, 33, 35, 37, 38, 40, 4244, 49, 52, 58, 60, 61, 62, 63, 66 (Assume that a=1.)
 HW # 25 ... (Section 5.7) ... (Find solutions to THREE decimal places for problems 1, 3, and 5.) p. 266: 1 (Assume x>0.), 3, 5, 6, 8a
The FINAL EXAM is Monday, December 5, 2016,
3:305:30 p.m.
in 1100 Social Sciences
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 24 (omit 25), and material from sections 1.11.3, 2.12.3, 3.13.5, 4.14.8, 5.15.5, (omit this section) 5.7. You are expected to know the 17 rules of differentiation, whichwere needed on Exam 2. Use your three hour exams, practice exams, 24 homework assignments, and discussion sheets as a guide to your preparing for the final exam.
TYPES OF QUESTIONS FOR THE FINAL EXAM FOR WINTER 2016 (subject to change)
 3  Limits Using L'Hopital's Rule
 1  Limit Definition of Derivative
 1 or 2  Finding Horizontal, Vertical, or Tilted Asymptotes
 1  Projectile/Gravity Problem
 1  N/Epsilon Proof for Limit of a Sequence
 1  Complete Detailed Graphing
 1  Exponential Growth/Decay
 1  Linearization
 1  Differential
 2  Maximum/Minimum
 1  Related Rates
 1  IMVT
 1  Implicit Differentiation (Find both y' and y".)
 2 or 3  Others
 1 or 2  OPTIONAL EXTRA CREDIT
HERE ARE SOME RULES FOR THE FINAL EXAM.
 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. 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.
 2.) No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A
CALCULATOR 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 email to Kouba by
clicking on the following address :
kouba@math.ucdavis.edu .