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Calculus II Kinetic Modeling Topics (Fall 2003)
See the material below in Weeks 7, 9-12 

Calculus Texts:
1. Calculus Lite (CL), 3rd Edition, F. Morgan, A K Peters, Ltd, 2001. 
2. Calculus for Kinetic Modeling (CKM), J. Pais, Interactive MathVision, 1997-2003 (materials located on this website).
...

Week 1. 

1. Review Assignment:  Finding Zeroes of Polynomial FunctionsUseful Facts

2. Check your work with Java Tools:  Worksheet1 Applets

3. Quiz1 (10 points).
    Fall 2001 Quiz1 Answers ,
    Spring 2002 Quiz1.01 Answers , Spring 2002 Quiz1.02 Answers


Week 2 (+). 

1. Assignment:  TIFs & TSFs for Polynomial FunctionsBackground from CKM Workspace , Finding Tangent Lines Examples

2. Check your work with Java Tools:  Worksheet2 Applets

3. Quiz2 (10 points).
    Sample Quiz2.01 , Sample Quiz2.02
    Sample Quiz2.01 Answers , Sample Quiz2.02 Answers
    Spring 2002 Quiz2.01 Answers , Spring 2002 Quiz2.02 Answers
    Cubic Guesstimation


Week 3.

1. Assignment: TSFs and Graphical Reprsentations I 
    Worksheet3P1, Worksheet3P2, Worksheet3P3, Worksheet3P4, Worksheet3P5

2. Check your work with Java Tools:  Worksheet3 Applets

3. Quiz3 (10 points), Wednesday. Fall 2001 Quiz3 Answers
    Spring 2002 Quiz3.01 Answers , Spring 2002 Quiz3.02 Answers


Week 4 (+). 

CL Assignment:
1. Read & Study Section 1: Limit Definition of Derivative.
    Lecture Examples from CLExercises Sec. 1
2. Read & Study Section 3: The Product and Quotient Rules.
    Do the odd Exercises 1-19 on pages 20-21 (2nd ed.), 19-21 (3rd ed.).
3. Read & Study Section 4: The Chain Rule,
    Do the odd Exercises 1-21 on pages 25-26 (2nd ed.), 25-27 (3rd ed.).
4. Read & Study Section 5: The Extended Power Rule.
    Do the odd Exercises 1-11 on pages 31-32 (2nd ed.), 33-34 (3rd ed.).

Sample solutions for some of this week's exercises (2nd ed. page numbering):
   CLExercises Sec. 3, CLExercises Sec. 4, CLExercises Sec. 5

CKM Assignment:
CKM Internet Workspace: D-Rules & TSFs
4. Read & Study: D-Rules 1-4 
    There are worked out examples here that you will find helpful.
    More Practice Problems

5. Quiz 4 (10 points)
     Fall 2001 Quiz4 Sample Soln1 , Fall 2001 Quiz4 Sample Soln2


Week 5. 

CL Assignment:
1. Note that we will use the formulas on page 215  (2nd ed.), 211 (3rd ed.) as definitions: (28.3) for sin(x),  (28.4) for cos(x), and (28.2) for exp(x).
2. Read & Study Section 6: Derivatives of Sines and Cosines.
    Do the odd Exercises 1-15 on pages 39-40 (2nd ed.), 40-41 (3rd ed.).
3. Read & Study Section 9: Derivatives of Exponentials and Logarithms.
    Do the odd Exercises 23-55 on pages 83-84 (2nd & 3rd ed.).

CKM Assignment:
CKM Internet Workspace: D-Rules & TSFs
4. Read & Study: D-Rules 5-7 
    There are worked out examples here that you will find helpful.
    Practice Problems 1Practice Problems 2

5. Assignment: TIFs and Graphical Representations I 
    Quiz3.1tif, Quiz3.2tif (Note: For additional practice, use the Week 3 Worksheets)
    Quiz3.1tifsoln, Quiz3.2tifsoln


Midterm Exam.

Week 6.

CL & CKM Assignments: 
1. Read these notes on Exponential & Logarithmic Functions: Exps & Logs
2. Finish off the CL & CKM Assignments for Week 5, using 1. to help you understand and see how to do the exercises.
3. Intro. to Week 7 Material on Dissolution Models (see below).
Note: the quiz will cover this into. material. 

4. Quiz 5 (10 points). 
Spring 2002 Quiz5.01 Answers , Spring 2002 Quiz5.02 Answers


Spring Break.

Week 7.

CL Assignment:  none.

CKM Assignment:
CKM Internet Workspace: Dissolution Models
1. Read & Study: Flow Diagram, DM Definition 1
2. Written Homework: DM Worksheet and DM Exercises 3-4. 
    (click on link above to find copies of these worksheets)
    You can use DM Interactive to help you when you
    get stuck and to check your answers.
    Note that this is a Maple V R5 Interactive Problem Solver,
    and to open it you need to browse using MS Internet Explorer
    (Netscape doesn't work!) and you need to have Maple V R5
    on your computer.  StLCOP's MLL, Room 410M, has both. 

     D-Formulas , DMExercise3soln , DMExercise4soln

3. Quiz 6 (10 points).
    Fall 2001 Quiz6 Sample Soln
    Spring 2002 Quiz6.01 Answers , Spring 2002 Quiz6.02 Answers


Week 8.

CL Assignment:
1. Read & Study Section 12: Antidifferentiation
    Do all Exercises 1-17 on pages 107-108 (2nd & 3rd ed.), and 
    Exercise 27 on pages 122-123(2nd & 3rd ed.).
2. Read & Study Section 15: Area and the Riemann Integral.
    No Exercises.
3. Read & Study Section 16: The Fundamental Theorem of Calculus.
    Do the odd Exercises 1-19 on pages 136-138 (2nd & 3rd ed.).

CKM Assignment:
CKM Internet Workspace: Integrals, Area & Reversing D-Rules
4. Read & Study: Integrals 1-3
    There are worked out examples here that you will find helpful.
5. Written Homework: IA Worksheet 1.
    Make sure to use IA Interactive to help you when you
    get stuck and to check your answers.
    Note that IA Interactive is a Maple V R5 Interactive Problem Solver,
    and to open it you need to browse using MS Internet Explorer
    (Netscape doesn't work!) and you need to have Maple V R5
    on your computer.  StLCOP's MLL, Room 410M, has both.
6. Read, Study & Work through: AOC/AUC Ex 1
7. Written Homework: IA Worksheet 2.
    Note that you should use the answers from IA Worksheet 1 
    to do IA Worksheet 2.
    Make sure to use IA Interactive to help you when you
    get stuck and to check your answers.
    IA Worksheet 2: Answers 1-6
    IA Worksheet 2: Answers 7-10
    IA Worksheet 2: Answers 11-14

8. Quiz 7 (10 points).
    Fall 2001 Quiz7 Answers
    Spring 2002 Quiz7.01 Answers , Spring 2002 Quiz7.02 Answers


Weeks 9 & 10.

CL Assignment: None.

Precalculus Review Assignment:
1. Review Precalculus Week 8 Assignment:
CKM Internet Workspace: Velocity, Acceleration & Reaction Kinetics
    Review RK Definitions 3-4 (Buttons on left) and 
    RK Exercises 3-4 (Buttons on left). You need this material 
    to do AM Exercises 1-2 below.

CKM Assignment:
CKM Internet Workspace: Absorption Models
2. Read and Study: AM Definitions 1-2 (Buttons on left)
3. Written Homework: AM Exercises 1-2 (First complete Review above.)
    Help for AM Exercise 2 Part 5
4. Written Homework: More Handouts (Button on left) contains data from 
    the Drug Dose Generator for the first 2 doses. By hand calculation, verify
    these values for both doses: calculate ymin, ymax, and yave, yourself,
    and write the calculations up for homework.
5. Optional Computer Lab Exercise: AM Interactive, Drug Dose Generator 
    Work through enough consecutive doses so that the drug in the 
    blood curve reaches steady state. Write out a short description 
    of what you did and what happened. 
    Note that AM Interactive is a Maple V R5 Interactive Problem Solver,
    and to open it you need to browse using MS Internet Explorer
    (Netscape doesn't work!) and you need to have Maple V R5
    on your computer.  StLCOP's MLL, Room 410M, has both.

6. MakeUp Bonus Exercise (8 bonus points), AM Exercises 1-2.
    NOTE: This is the only makeup option for missing quizzes. 
    If you get full credit for completing this assignment, then you will 
    receive 8 extra bonus points added to your total number of points.

7. Quiz 8 (10 points).
    Fall 2001 Quiz8 Answers
    Spring 2002 Quiz8.01 Answers , Spring 2002 Quiz8.02 Answers


Week 11. 

CKM Topic: Lambert's W, the W (Chain) Rule & Michaelis-Menten Uptake Models 

Assignment: 
CKM Internet Workspace: Lambert's W 
1. Read and Study: LW Definitions 1-2 
2. Written Homework: LW Exercises 1-2 
3. Written Homework: LW Kinetigram Exercise 1. 
4.  Read, Study & Work through: LW Interactive 
     ( You will need to use this to estimate Vmax & Km in 3.) 
       Note that this is a Maple V R5 Interactive Problem Solver, 
       and to open it you need to browse using MS Internet Explorer 
       (Netscape doesn't work!) and you need to have Maple V R5 
       on your computer.  StLCOP's MLL, Room 410M, has both. 


Week 12. 

CKM Topic: Enzyme Kinetics

Assignment: 
CKM Internet Workspace: Enzyme Kinetics
1. Read and Study: EK Definitions 1-2 
2. Written Homework: EK Exercises 1-2 
3. Written Homework: EK Kinetigram Exercise 1. 
4.  Read, Study & Work through: EK Interactive 


Final Exam.