MATH 17C (SECTIONS B01, B02), 212 Veihmeyer, 8-8:50 MWF (TH Disc.)

Instructor: Dr. D. A. Kouba

Text: CALCULUS for Biology and Medicine (3rd Edition) by Claudia Neuhauser

Office: 3135 MSB (Mathematical Sciences Building)

Phone: (530) 554-1512

Office Hours: Variable (announced in class) or by appointment

• ...... Here is a list of Exam ID Numbers .

• EXAM 1-- MONDAY, April 18, 2011
  
  
• EXAM 2-- WEDNESDAY, May 11, 2011
  
  
• EXAM 3-- FRIDAY, May 27, 2011
  
  
• FINAL EXAM -- TUESDAY, June 7, 2011, 3:30 - 5:30 p.m., in 212 Veihmeyer

Here are Math 17C ... HOMEWORK Solutions . . . and . . . EXAM Solutions .

Here are Supplementary Class Handouts .

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 .

SCANNED PROBLEMS for Chapter 10


• HW #1 ... (Section 10.1) ... p. 511: 3, 5, 6, 13 (Plot level curves for the following values of z: 0, 1, 4, 9.), 14 (Plot level curves for the following values of z; 0, root(5), root(8), 3.), 15 (Plot level curves for the following values of z: ln(1/10), ln(1/2), ln 1, ln 2, ln 3, ln 4.), 16 (Plot level curves for the following values of z: e^(0), e^(-1/4), e^(-1), e^(-4), e^(-9).), 19, 22, 24a (Read b. and c.), 25
  
  
• HW #2 ... (Section 10.2) ... p. 518: 2, 11, 15, 17, 18, 20-22, 25, 26 ... and ... Worksheet 1
  
  
• HW #3 ... (Section 10.3) ... p. 525: 1, 3, 6, 7, 9, 10, 13, 17, 19, 22, 23, 25, 30, 39, 40-42, 51
  
  
• HW #4 ... (Section 10.4) ... p. 535: 1, 4, 7, 10, 19, 21, 24, 26, 27, 29, 31, 34, 35, 37, 41, 42, 43, 46
  
  
• HW #5 ... (Section 10.5) ... p. 545: 2-4, 7, 8, 11, 14, 17, 18, 22, 25, 27, 28, 31, 34, 35, 37, 39, 42, 44
  
  
• HW #6 ... (Section 10.6) ... p. 569: (Use the Second Derivative Test Handout from class to do problems 1, 3, 4, 6, 7.) ... (Here is a Proof of the Second Derivative Test for anyone interested.) 1, 3, 4, 6, 7, 14, 15, 16 (Change f(x,y)=x^2+y^2 to f(x,y)=1-x^2+2y^3.), 17, 19, (For the next 4 problems find critical points and extreme values only. You need not verify the maximum or minimum.) 28, 29, 31, 33


EXAM 1 is Monday, April 18, 2011. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 6, discussion sheets 1,2, and 3, and material from sections 10.1-10.6 which was presented in lecture notes through Friday, April 15, 2011. 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 SPRING 2011 (subject to unannounced change)

• 1-- 3D-Graphing (intercepts, traces, level curves, etc.)
• 1-- Find and Classify Critical Points for z=f(x,y)
• 2-- Compute Limits or Determine that Limit Does Not Exist
• 1-- Domain and Range for z=f(x,y)
• 1-- Precise Epsilon,Delta-Proof
• 1-- Tangent Plane
• 1-- Directional Derivative
• 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 will be graded on proper use of limit notation.
• 4.) You will be graded on proper use of integral and 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 1 FOR SPRING 2011 IS :



A+ ...... 100-110


A ...... 90-99


A-/B+ ...... 85-87


B ...... 70-84


C ...... 50-69


D ...... 35-49


F ...... 0-33





• HW #7 ... (Here is a handout for double integrals .) ... Worksheet 2
  
  
• HW #8 ... (Here are lecture NOTES for parametric equations.) ... Worksheet 3
  
  SCANNED PROBLEMS for Chapter 11
  
  
• HW #9 ... (Section 11.1) ... p. 606: 1, 2, (On problems 5 and 7 set up a table showing the slope, direction vector, and speed at each point.) 5, 7, 9-13, 15, 17, 19, 26, 35, 37, 39, 43, 45, 52-55 ... and ... Here is an Example ... to help with ... Worksheet 3.5
  
  
• HW #10 ... (Section 11.2) ... p. 617: 9, 12, 13, 17, 18, (Use equations (11.40) and (11.41) from the text for problems 19 and 20.) 19, 20, 21ae (Assume t is years and assume x1+x2=20 for all values of t.) ... and ... Worksheet 4
  
  
• HW #11 ... (Section 9.3) ... p. 486: 63, 65, 67, 68 ... and ... (Section 11.3) ... p. 629: 1, 2, 3, (For problems 7, 9, and 11 classify each equilibrium as unstable or stable, then categorize it as a sink, source, saddle, stable spiral, or unstable spiral.) 7, 9, 11, 15, (Use this figure for 17.) 17, (Use this figure for 19.) 19, (Use this figure for 21.) 21, 17 (again, assuming that f1>0 and f2>0 near the origin, then complete the 2-dimensional sign chart and signed Jacobi Matrix), 23


EXAM 2 is Wednesday, May 11, 2011. It will cover handouts, lecture notes, and examples from class, homework assignments 7 through 11, discussion sheets 4, 5, and 6 and material from sections 9.3 and 11.1-11.3 in the book which was presented in lecture notes through Monday, May 9, 2011. Most of the exam questions will be similar to problems presented in class, homework problems, or discussion sheet problems.



TYPES OF QUESTIONS FOR EXAM 2 FOR SPRING 2011 (subject to change)

• 2 -- Double Integrals
• 1 -- Compute Jacobi Matrix
• 1 -- Classify Equilibrium
• 1 -- Solve 2 by 2 Linear System of D.E.'s
• 1 -- Two Tank Mixture Problem (SET UP ONLY)
• 1 -- Graph Parametric Equations
• 1 -- Graphical Method to Categorize Equilibrium
• 1 -- Categorize Equilibria for a Nonlinear 2 by 2 System of D.E.'s
• 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 will be graded on proper use of 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.





THE GRADING SCALE FOR EXAM 2 FOR SPRING 2011 IS :



A+ ...... 100 - 110


A ...... 90 - 99


A-/B+ ...... 85 - 89


B ...... 70 - 84


C ...... 50 - 69


D ...... 35 - 49


F ...... 0 - 34






• HW #12 ... (Section 11.4) ... Here are some notes on a Predator/Prey model. ... p. 652: 15abc and solve system using separation of variables, 16abc and solve system using separation of variables,18 and 19ab (Solve the D.E. in part a. by separation of variables; assume that N(0)=9; solve explicitly for N. Graph N=N(t).)
  
  SCANNED PROBLEMS for Chapter 12
  
  
• HW #13 ... (Section 12.1) ... p. 666: 1, 4, 5, 9, 10, 13, 14, 16, 19, 22, 24, 25, 29-31, 33-37, 39, 45-50
  
  
• HW #14 ... (Section 12.2) ... p. 677:1-12, 17, 18, 21, 22, 25-33, (See this link for a short course in X and Y chromosomes. See this link for a short course in color blindness.) 36, (See pages 674-675.),40-50, 51a
  
  
• HW #15 ... (Section 12.3) ... p. 687:1, 4-12, 15, 18-35, 37-40 (omit 37-40 for the final exam)


EXAM 3 is Friday, May 27, 2011. It will cover handouts, lecture notes, and examples from class, homework assignments 12 through 15 (only problems 1, 4-6, 8-12 from HW # 15), discussion sheets 7, 8, and 9 (problems 1-3 only) and material from sections 11.4 and 12.1-12.3 (only the topic of conditional probability from section 12.3) in the book which was presented in lecture notes through Wednesday, May 25, 2011. Most of the exam questions will be similar to problems presented in class, homework problems, or discussion sheet problems.



TYPES OF QUESTIONS FOR EXAM 3 FOR SPRING 2011 (subject to change)

• 7 -- Counting Problems Using Fundamental Counting Principle, Combinations, or Permutations
• 3 -- Probability Problems
• 2 -- Conditional Probability
• 1 -- Lotka-Voltera Predator-Prey Problem
• 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 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 will be graded on proper use of 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.





THE GRADING SCALE FOR EXAM 3 FOR SPRING 2011 IS :



A+ ...... 100 - 110


A ...... 90 - 99


A-/B+ ...... 85 - 89


B ...... 70 - 84


C ...... 49 - 69


D ...... 37 - 48


F ...... 0 - 36





The FINAL EXAM is TUESDAY, June 7, 2011,



3:30-5:30 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 15, Discussion Sheets 1-9 and material from sections 9.3, 10.1-10.6, 11.1-11.4, and 12.1-12.3. Use your three hour exams, 15 homework assignments, and discussion sheets as a guide to your preparing for the final exam.



TYPES OF QUESTIONS FOR THE FINAL EXAM FOR SPRING 2011 (subject to change) ...



• 2 -- Compute limits or Determine Limit Does Not Exist
• 1 -- Precise Epsilon/Delta Proof
• 1 -- Find and Classify Critical Points
• 1 -- Directional Derivative
• 1 -- Double Integral
• 1 -- Solve System of Linear Differential Eqyations
• 1 -- Find and Classify Equilibria for Nonlinear System of Differential Equations
• 1 -- Graph Parametric Equations
• 7 -- Various Counting and Probability Problems
• 1 -- 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 e-mail to Kouba by clicking on the following address :

kouba@math.ucdavis.edu .