MATH 17B (SECTIONS A01-A02), 212 Veihmeyer, 10-10:50 MWF

Instructor: Dr. D. A. Kouba

Text: CALCULUS for Biology and Medicine (2nd edition) by Claudia Neuhauser

Office: 3135 MSB (Mathematical Sciences Building)

Phone: (530) 752-1083

Office Hours: Variable (announced in class or via e-mail) or by appointment

• ...... MATH 17B COURSE GRADES (listed by the last five digits of your student identification number).
  
  
• ...... Exam ID #'s

• EXAM 1-- WEDNESDAY, April 22, 2009
  
  
• EXAM 2-- MONDAY, May 11, 2009
  
  
• EXAM 3-- MONDAY, June 1, 2009
  
  
• FINAL EXAM -- TUESDAY, June 9, 2009, 1-3 p.m., in 212 Veihmeyer

Here are Math 17B ... 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 .

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 .

• HW #1 ... (Section 6.1) ... p. 355: 6, 7, 8, 10, 11, 14, 16, 18, 22, 23, 25
  
  
• HW #2 ... (Section 6.1) ... p. 355: 35, 36, 61, 62, 64, 67, 75, 77, 83 ... and ... Worksheet 1
  
  
• HW #3 ... (Section 6.2) ... p. 371: 5, 7, 12, 15, 16, 20, 24, 27, 32, 33, 36, 40, 46, 51, 55, 57, 62, 65, 67, 73, 80, 82, 89, 92, 93, 95, 97, 99, 105, 108, 114, 115, 116, 119, 123, 126
  
  
• HW #4 ... (Section 6.3) ... p. 392: 1-3, 7, 11, 14, 17, 20, 22 (w: pounds, x: months), 24 (N: people, t: years), 25-27, 29, 31, 33, 34, 36, 38, 41, 43, 47, 51, 52, 53b, 55, 57
  
  
• HW #5 ... (Section 7.1) ... p. 406: 1, 4, 6, 8, 9, 12-14, 16, 18, 20, 21, 24, 26, 27, 31-33, 35, 36, 43, 45, 48, 50, 52, 54, 55, 57
  
  
• HW #6 ... (Section 7.2) ... p. 414: 1, 6, 7, 10, 12, 15, 19, 23, 25, 29, 40, 43, 45
  
  
• HW #7 ... (Section 7.3) ... p. 425: 27, 29-32, 34, 35, 38, 43, 45, 46, 51
  
  EXAM 1 is Wednesday, April 22, 2009. It will cover handouts, lecture notes, and examples from class, homework assignments 1 through 7, discussion sheets 1,2,3, and 4 and material from sections 6.1-6.3 and 7.1-7.3 in the book which was presented in lecture notes through Monday, April 20, 2009. 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 2009 (subject to change)

  • 5-- Indefinite Integrals Using Any Method
  • 1-- Volume (SET UP ONLY.)
  • 1-- Area (SET UP ONLY.)
  • 1-- Limit Definition of Definite Integral
  • 1-- Average Value of a Function
  • 1-- Arc Length
  • 1-- Even/Odd Function
  • 1-- FTC1
  • 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 SPRING 2009 IS :
  
  

  A+ ...... 100-110
  

  A ...... 90-99
  

  A-/B+ ...... 84-89
  

  B ...... 70-83
  

  C ...... 50-69
  

  D ...... 37-49
  

  F ...... 0-36
  
  
  

• HW #8 ... (Section 7.4) ... p. 442: 1-5, 8, 9, 11, 14, 17, 18, 20, 25, 28, 29 (Integrate from 0 to infinity, not negative infinity to infinity.), 31, 32
  
  
• HW #9 ... (Section 7.5) ... p. 451: 2, 4, 7, 10, 15, 16, 18, 20, 23
  
  
• HW #10 ... (Section 7.7) ... p. 469: 1-3, 5-7, 11, 15, 16, 19, 22, 27, 28, 30
  
  
• HW #11 ... (Section 8.1) ... p. 491: 1, 2, 4, 7, 9, 10, 12, 13, 17, 19 (Solve for N.), 20 (Solve for W.), 22 (Solve for L.), 28, 32, 36, 37 (Solve for N.), 44, 45, 47, 48, 53 ... and ... Problem A ... You can find a site to download copies of your own semi-log graph paper (numbered) HERE .
  
  
• HW # 12 ... First-Order Linear Differential Equations Worksheet ... and ... Mixture Problems on Worksheet 2
  
  
• HW #13 ... (Section 8.2) ... p. 507: 2, 3, 4, 6a(Use graphing calculator.)bc, 8a, 10, 21, 24
  
  EXAM 2 is Monday, May 11, 2009. It will cover handouts, lecture notes, and examples from class, homework assignments 8 through 13, discussion sheets 5, 6, and 7 and material from sections 7.4, 7.5, 7.7, 8.1, and 8.2, which was presented in lecture notes through Friday, May 8, 2009. 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 2009 (subject to change)

  • 1 -- Using Semi-Log Paper to Find Growth Equation N and its Growth rate dN/dt in Autonomous Form
  • 1 -- Taylor Polynomial/Taylor Error (I will provide Taylor Error formula.)
  • 1 -- Mixture Problem (Rate In Minus Rate Out); SET UP Differential Equation Only (Not solve it)
  • 1 -- Determining (Two Ways) Stable and Unstable Equilibria for Autonomous Differential Equation
  • 3 -- Solving Differential Equations (Separable, First-Order Linear)
  • 2 -- Improper Integral
  • 2 -- Midpoint Rule/Error or Trapezoidal Rule/Error (I will provide Error formulas.)
  • 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 2009 IS :
  
  

  A+ ...... 100 - 110
  

  A ...... 90 - 99
  

  A-/B+ ...... 83 - 89
  

  B ...... 69 - 82
  

  C ...... 49 - 68
  

  D ...... 38 - 48
  

  F ...... 0 - 37
  
  

• HW #14 ... (Section 9.1) ... p. 536: 1, 3, 4, 7, 8a, 11, 13, 15, 17, 18, 23
  
  
• HW #15 ... (Section 9.2) ... p. 560: 1, 7, 13, 15ab, 18, 20-22, 26, 27, 29, 31, 34, 35, 37, 43, 45, 47, 51, 53, 55, 57, 59, 61, 63, 65
  
  
• HW #16 ... ... (Section 9.3) ... p. 584: 1-4, 6, 8, 9, 12, 14, 15, 17, 19, 22-24, 31, 34, 37, 39, 42, 45, ... (Find eigenvalues and eigenvectors only for the next 3 problems.) ... 49, 53, 55, (Read facts on pages 576 and 577 to do the next 2 problems.) 63, 65, 71, 72, 75, 79
  
  
• HW #17 ... (Section 9.4) ... p. 599: 2, 4, 5, 7, 10-12, 16, 17, 23, 26, 27, 30, 31, 35, 39, 42, 43, 47, 53, 55, 58, 59, 62, 63, 65, 66
  
  EXAM 3 is Monday, June 1, 2009. It will cover handouts, lecture notes, and examples from class, homework assignments 14 through 17, discussion sheets 8, 9, and 10 and material from sections 9.1-9.4, which was presented in lecture notes through Friday, May 29, 2009. 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 2009 (subject to change)

  • 1 -- Solve System of Equations Using Matrix Reduction Rules
  • 1 -- Find Eigenvalues, Eigenvectors
  • 1 or 2 -- Read Leslie Matrix, or Leslie Matrix Set-Up, or Find Specific Age Distribution, or Find Eigenvalues, Growth Parameter, and Stable Age Distribution
  • 2 -- Find Inverse of Matrix
  • 1 -- Dot Product, Angle Between Vectors, Perpendicular (Orthogonal) Vectors
  • 2 -- Equation of line in 3D-Space/Equation of Plane in 3D-Space
  • 1 or 2 -- Others
  • 1 -- OPTIONAL EXTRA CREDIT
  
  
  
  

  THE GRADING SCALE FOR EXAM 3 FOR SPRING 2009 IS :
  
  

  A+ ...... 100 - 110
  

  A ...... 90 - 99
  

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

  B ...... 70 - 84
  

  C ...... 50 - 69
  

  D ...... 40 - 49
  

  F ...... 0 - 39
  
  
  

  • HW #18 ... (Laplace 1-- Here are lecture NOTES ) ... Worksheet 3
    
    
  • HW #19 ... (Laplace 2-- Here are lecture NOTES ) ... Worksheet 4
    
    
  • HW #20 ... (Laplace 3-- Here are lecture NOTES ) ... Worksheet 5
    
    
    
    
    
    

    The FINAL EXAM is TUESDAY, JUNE 9, 2009,
    
    

    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 17, discussion sheets 1-10, and material from sections 6.1-6.3, 7.1-7.5, 7.7, 8.1, 8.2, 9.1-9.4. Use your three hour exams, 17 homework assignments, and discussion sheets as a guide to your preparing for the final exam.
    
    

    THE FOLLOWING TOPICS WILL NOT BE COVERED ON THE FINAL EXAM -- limit definition of definite integral, semi-log graphing problems, stability of equilibria, midpoint and trapezoidal rules, find inverse of matrices, Laplace transforms
    
    

    TYPES OF QUESTIONS FOR THE FINAL EXAM FOR SPRING 2009 (subject to change)

    • 2 -- Leslie Matrix Problems
    • 1 -- Taylor Polynomial or Taylor Error
    • 1 -- Mixture Problem
    • 1 -- Eigenvalue, Eigenvector Problem
    • 3 -- Differential Equations
    • 4 -- Indefinite Integrals
    • 3 -- Lines or Planes in 3D Space
    • 3 -- Applications of Definite Integral-- Area, Volume, Arc Length, or Average Value
    • 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.
    
    
    
    

  ####################################################################
  
  
  
  ####################################################################
  
  
  
  

  
  
  
  

  Your comments, questions, or suggestions can be sent via e-mail to Kouba by clicking on the following address :

  kouba@math.ucdavis.edu .