MATH 17C (SECTION A01), 212 Veihmeyer, 11-11:50 MWF

Instructor: Dr. D. A. Kouba

Text: CALCULUS for Biology and Medicine (2nd Edition or UC Davis' customized edition) by Claudia Neuhauser

Office: 3135 MSB (Mathematical Sciences Building)

Phone: (530) 752-1083

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

• ...... Here is a list of Exam ID Numbers .
  
  
• ...... MATH 17C FINAL COURSE GRADES (listed by Exam ID #'s).

• HW #17 ... (Section 10.1) ... p. 614: 1, 3, 4, 7 (Plot level curves for the following values of z: 0, 1, 4, 9.), 8 (Plot level curves for the following values of z; 0, root(5), root(8), 3.), 9 (Plot level curves for the following values of z: ln(1/10), ln(1/2), ln 1, ln 2, ln 3, ln 4.), 10 (Plot level curves for the following values of z: e^(0), e^(-1/4), e^(-1), e^(-4), e^(-9).), 11, 14, 16a (Read b. and c.), 17
  
  
• HW #18 ... (Section 10.2) ... p. 622: 2, 5, 9, 11, 12, 14
  
  
• HW #19 ... (Section 10.3) ... p. 631: 1, 3, 6, 7, 9, 10, 13, 17, 19, 22, 23, 25, 30, 39, 40-42, 51
  
  
• HW #20 ... (Section 10.4) ... p. 642: 1-4, 13, 15, 18, 20, 21
  
  
• HW #21 ... (Section 10.5) ... p. 653: 2-4, 7, 8, 11, 14, 17, 18, 22, 25, 27, 28, 31, 34, 35, 37, 39, 42, 44
  
  
• HW #22 ... (Section 10.6) ... p. 683: (Use handout from class to do problems 1, 3, 4, 6, 7.) 1, 3, 4, 6, 7, (For the netx 4 problems find critical points and extreme values only. You need not verify the maximum or minimum.) 28, 29, 31, 33

• EXAM 1-- FRIDAY, October 17, 2008
  
  
• EXAM 2-- WEDNESDAY, November 12, 2008
  
  
• EXAM 3-- MONDAY, December 1, 2008
  
  
• FINAL EXAM -- MONDAY, December 8, 2008, 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 .

• Here is practice exam 1 and solutions
  
  
• Here is practice exam 2 and solutions
  
  
• Here is practice exam 3 and solutions

• HW #1 ... (Laplace 1-- Here are lecture NOTES ) ... Worksheet 1
  
  
• HW #2 ... (Laplace 2-- Here are lecture NOTES ) ... Worksheet 2
  
  
• HW #3 ... (Laplace 3-- Here are lecture NOTES ) ... Worksheet 3
  
  
• HW #4 ... (Laplace 4-- Here are lecture NOTES ) ... Worksheet 4
  
  
• HW #5 ... (Here are lecture NOTES for parametric equations.) ... Worksheet 5
  
  
• HW #6 ... (Section 11.1) ... p. 725: 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, 24, 29, 31, 33, 34

TYPES OF QUESTIONS FOR EXAM 1 FOR FALL 2008 (subject to unannounced change)

• 1-- Laplace Using Integral Definition
• 3-- Laplace Using Rules
• 3-- Inverse Laplace Using Rules
• 1-- Solve D.E. Using Laplace
• 1-- Solve System of D.E.'s Using Laplace
• 1-- Solve System of D.E.'s Using Matrices
• 1-- Graph Parametric Curve
• 1-- Categorize Equilibrium
• 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. 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 FALL 2008 IS :

A+ ...... 100-110

A ...... 88-99

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

B ...... 70-84

C ...... 50-69

D ...... 40-49

F ...... 0-39

• HW #7 ... (Section 11.2) ... p. 738: (Use equations (11.40) and (11.41) from the text for problems 13 and 14.) 13, 14, 15ae (Assume t is years and assume x1+x2=20 for all values of t.) ... and ... Worksheet 6
  
  
• HW #8 ... (Section 10.4) ... p. 643: 23, 25, 28, 29, 31, 35, 36, 37, 40
  
  
• HW #9 ... (Section 9.3) ... p. 585: 63, 65, 67, 68 ... and ... (Section 11.3) ... p. 751: 1, 2, 3, (For problems 5, 7, and 9 classify each equilibrium as unstable or stable, then categorize it as a sink, source, saddle, stable spiral, or unstable spiral.) 5, 7, 9, 11, (Use this figure for 13.) 13, (Use this figure for 15.) 15, (Use this figure for 17.) 17, 13 (again, assuming that f1>0 and f2>0 near the origin, then complete the 2-dimensional sign chart and signed Jacobi Matrix), 19
  
  
• HW #10 ... (Section 11.4) ... Here are some notes on a Predator/Prey model. ... p. 778: 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).)
  
  
• HW #11 ... (Section 12.1) ... p. 793: 1, 4-8, 11, 12, 14, 15, 18, 20, 21, 23-25, 27-31, 33, 37-42

TYPES OF QUESTIONS FOR EXAM 2 FOR SPRING 2008 (subject to change)

• 1 -- Mixture Problem (SET UP ONLY)
• 1 -- Drug Dissipation Problem
• 1 -- Predator-Prey Problem
• 4 -- Counting Problems
• 1 -- Jacobi Matrix Problem
• 1 -- Graphical Method for Determining Stability of an Equilibrium
• 1 -- Analytical Method (Jacobi Matrix and Eigenvalues) for Determining Stability of Equilibria
• 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 Fall 2008 IS :

A+ ...... 100 - 110

A ...... 90 - 99

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

B ...... 74 - 84

C ...... 55 - 73

D ...... 45 - 54

F ...... 0 - 44

• HW #12 ... (Section 12.2) ... p. 805:1-14, 17-27, (See this link for a short course in X and Y chromosomes. See this link for a short course in color blindness.) 28, 29a (See pages 802-803.),30-40
  
  
• HW #13 ... (Section 12.3) ... p. 817:1-29, 31-34
  
  
• HW #14 ... (Section 12.4) ... Here are some notes on Joint Probability Distributions and Binomial Probability Distributions ..... p. 848: 1-4, 6, 7, 9, 12, 14, 16, 17, 19, 23-25, 29-35, 37-39

TYPES OF QUESTIONS FOR EXAM 3 FOR FALL 2008 (subject to change)

• 1 -- Operations with Sets (Intersection, Union, Complement, etc.)
• 1 -- Law of Total Probability
• 1 -- Bayes Formula
• 1 -- Binomial Distribution Problem
• 1 -- Determine if Events are Independent or if Random Variables are Independent
• 1 -- Joint Probability Distribution Problem
• 3 -- Others
• 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 Fall 2008 IS :

A+ ...... 100 - 110

A ...... 88 - 99

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

B ...... 70 - 84

C ...... 55 - 69

D ...... 42 - 54

F ...... 0 - 41

• HW #15 ... (Section 12.4) ... Here are some notes on Multinomial Probability Distributions and a Summary of Various Probability Distributions ..... p. 848: 41-47, 49-52, 55, 57, 59, 63, 65, 67, 69, 71-74, 77, 81, 83
  
  
• HW #16 ... (Section 12.5) ... Here are some notes on Probability Density Functions ..... Worksheet 7

The FINAL EXAM is MONDAY, December 8, 2008,

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 16, Discussion Sheets 1-10 and material from sections 11.1-11.4, 12.1-12.5. Use your three hour exams, 16 homework assignments, and discussion sheets as a guide to your preparing for the final exam.

TYPES OF QUESTIONS FOR THE FINAL EXAM FOR FALL 2008 (subject to change) ... Note that there will be NO PROBLEMS of the following types-- Laplace Using Integral Definition, Mixture Problems, Predator/Prey Problem, Graphical Approach to Categorizing Equilibria

• 1 -- Binomial Distribution
• 1 -- Multinomial Distribution
• 1 -- Geometric Distribution
• 1 -- Poisson Distribution
• 1 -- Probability Density Function for a Continuous Random variable X
• 1 -- Determine if Events are Independent or if Random Variables (Joint Probability Distribution) are Independent
• 1 -- Joint Probability Distribution Problem
• 1 -- Analytical Method (Jacobi Matrix and Eigenvalues) for Determining Stability of Equilibria
• 1 -- Bayes Formula (Genetics or Virus Testing Problem)
• 1 -- Law of Total Probability (Genetics or Virus Testing Problem)
• 1 -- Graph Parametric Curve
• 1 -- Solve System of D.E.'s Using Laplace
• 1 -- Solve System of D.E.'s Using Matrices
• 3 -- Other 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 .