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Assignments 0-6: Modeling Projects; Chapter 0; Introduction to some Central Themes
Assignments 7-11 More Fundamental Ideas in the Context of Modeling Projects; Chapter 1
Assignments 12-21: A Closer Look at the Derivative and Integral; Chapter 2
Assignments 22-29: Some Applications of the Derivative
Assignments
Assignment 0
Preliminary Assignment (orientation and assessment)
Distance Students: BE SURE YOU HAVE CONTACTED YOUR INSTRUCTOR BY EMAIL. You will receive instructions for accessing the necessary Blackboard sessions, and for then completing other preliminary tasks including downloads from the Supervised Study page and the q_a_orientation program.
This preliminary assignment will orient you to the course and give you your first exposure to the subject matter of this course and to the communication process. This assignment will typically require a week's work, though many students will be able to complete it more quickly while some might require a little longer.
Distance Students: Run the q_a_orientation program, all seven sections, and email the associated Send files to the instructor according to the instructions given in that program.
Distance Students: Run the program q_a_initial_pbs.exe. Do the Calculus initial problems, the Typewriter Notation Problems and the Describing Graphs problems and send the SEND file to the instructor. These three assignments may be done on different days and can therefore be sent in different SEND files. If you have not done this, do so now; however wait until your day's work is done and send all SEND files at the end of the day.
Distance Students: Complete the program q_a_int_pbs_communication.exe and email the instructor the appropriate SEND file at the end of your day.
Distance Students: Complete the q_a_rates.exe program.
DISTANCE STUDENTS: NOTE VIDEO VERSIONS OF CLASS NOTES ON CD's, Starting with CD #2.
See CD Contents for table of contents.Assignments 0-6: Modeling Projects; Chapter 0; Introduction to Some Central Themes
Assignment 1
See also Class Notes #01-#03 (Distance students: See Calculus video clips on GEN1 CD. Run CD by clicking on the program labeled Disk_1).
Complete q_a_cal1_1_13.exe assignment #1 (under Supervised Study (Mth 299), Course Documents, Downloads, Applied Calculus I) and submit corresponding SEND file from c:\vhmthphy (the name of this SEND file will include the 4-digit date as well as your name as you entered it in the program).
Complete DERIVE worksheet (DERIVE is available in the Learning Lab and the Math/Science Lab).
DERIVE is available at VHCC in the Learning Lab. A 30-day trial copy can also be downloaded (search DERIVE on the Web; an address, current as of 9/2/03, for the download is http://www-d.connect.ti.com/eps/epsweb1.nsf/Download?OpenForm&Derive~FLASH The download is reasonably small and the instructions are not difficult. ).
Note that the course does not require DERIVE after this initial exercise, but that references to DERIVE syntax will be made from time to time in the course, and you are encouraged to use DERIVE during the 30-day trial period. The instructor neither recommends nor discourages purchase of DERIVE, but you should evaluate alternatives such as student versions of MATLAB and MATHEMATICA before purchasing any computer algebra system, and might want to wait until you encounter a course that does require one of these packages.
Read Chapter 0, Section 1 on the Real Line and Order.
Do problems 1-10, 22, 26, 28, 30, 31, 32.
When you have completed the entire assignment run the Query program.
Assignment 2
Complete q_a_ assignment #2 and submit corresponding SEND file
Do problems 6, 14, 16, 21, 23, 28, 30, 35, 36, 38ndomly choose and submit one of the nine problem versions. These problems are similar but not identical to those in your documents. ** If you wish to use simulated data go to Randomized Problems and choose SIMULATED FLOW MODEL DATA **
Read Chapter 0, Section 2 on the Absolute Values and Distance on a Line.
Do problems 5, 10, 12, 22, 24, 29, 34, 40, 41, 42|
When you have completed the entire assignment run the Query program.
Assignment 3
Complete q_a_ assignment #3 and submit corresponding SEND file
Class Notes #04: The Concepts of Differentiation and Integration in the Context of Rate Functions
Go to Randomized Problems, Week 2 Quiz #1 and randomly choose and submit one of the problems 1-19. Work the problem and email your solution.
Read Chapter 0, Section 3 on exponents and radicals.
Do problems 21-34, 37-40, 53 and 54
When you have completed the entire assignment run the Query program.
Assignment 4
Complete q_a_ assignment #4 and submit corresponding SEND file
Begin Modeling Project #2, which is an exploration of exponential functions in the context of compound interest, temperature functions, and other real-world phenomena including population models and others. Complete Exercises 1-14 (read associated material) ** Note: If so instructed, and only in this case, instead of the problems stated in the documents, go to Randomized Problems, Calculus I, Introductory Flow Model (Model 2), and randomly choose and submit one of the nine problem versions. These problems are similar but not identical to those in your documents. **
Read Chapter 0, Section 4 on factoring and polynomials.
Do problems 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 32, 36, 38, 40, 44, 46, 65, 66, 67.
When you have completed the entire assignment run the Query program.
Assignment 5
Complete q_a_ assignment #5 and submit corresponding SEND file
Class Notes #05: Growth of an Exponential Function; Trapezoidal Representation of Approximate Derivatives and Integrals
Modeling Project #2: Complete Remaining Exercises (read associated material)
Randomized Problems, Week 2 Quiz #1 and randomly choose and submit one of the problems 1-39
Read Chapter 0, Section 5 on the Real Line and Order.
Do problems 2, 6, 10, 12, 22, 26, 49, 50.
When you have completed the entire assignment run the Query program.
Assignment 6
Complete q_a_ assignment #6 and submit corresponding SEND file
Class Notes #06: Project #3; Derivative of y = a x^3; The Differential
Linked Outline of Introductory Topics through 9/04/98: Study these for the upcoming major quiz
Complete Modeling Project #3, which is an introduction to power functions and proportionality in the context of the relationship of the volume of geometrically similar sandpiles to their linear dimensions.
Randomized Problems, Week 3 Quiz #1 and randomly choose and submit one of the problems 1-39
Read Chapter 1, Section 1 on the the coordinate plane and distance formula.
Do problems 6, 8, 10, 12, 18, 20, 22, 24, 26, 28, 29, 30, 34, 38, 40.
When you have completed the entire assignment run the Query program.
Assignments 7-11: More Fundamental Ideas in the Context of Modeling Projects; Chapter 1
Assignment 7
Complete q_a_ assignment #7 and submit corresponding SEND file
Complete Major Quiz in Learning Lab or at Approved Testing Site, according to Testing Instructions on the Supervised Study Current Semester pages.
Class Notes #07: The Differential; Tangent Line Approximation to Differential
Class Notes #08: Text problems; First Introduction to Differential Equations
Complete Inverse Functions and Logarithms, which is a concrete, step-by-step approach to the concept of inverse functions and to logarithmic functions as inverses of exponential functions.
Randomized Problems, Week 3 Quiz #2 and randomly choose and submit one of the problems 1-39
Read Chapter 1, Section 2 on the graphing of equations.
Do problems 5-10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 36, 38, 40, 42, 44, 48, 52, 56, 59, 60, 66.
When you have completed the entire assignment run the Query program.
Assignment 8
Complete q_a_ assignment #8 and submit corresponding SEND file
Class Notes #09: Text problems; Introduction to Natural Logarithms and Composite Functions; Numerical Solution of Differential Equations ignore Text problems, Natural Logarithms, Numerical Solutions to Differential Equations; do look at Composite Functions
Randomized Problems, Week 4 Quiz #1 and randomly choose and submit one of the problems 1-39
Randomized Problems, Week 4 Quiz #2 and randomly choose and submit one of the problems 1-39
Randomized Problems, Week 3 Quiz #3 and randomly choose and submit one of the problems 1-39
Read Chapter 1, Section 3 on straight lines.
Do problems 6, 12, 14, 18, 22, 24, 26, 30, 32, 38, 40, 44, 46, 50, 54, 60, 64, 66, 61, 74.
When you have completed the entire assignment run the Query program.
Assignment 9
Complete q_a_ assignment #9 and submit corresponding SEND file
Read Chapter 1, Section 4 on Functions
Do problems 2, 4, 6, 7, 12, 13, 24, 26, 28, 31, 34, 36, 37, 40, 44, 48, 50, 55-58, 59, 60, 61, 63, 64, 68.
When you have completed the entire assignment run the Query program.
Assignment 10
Complete q_a_ assignment #10 and submit corresponding SEND file
Class Notes #11: Brief Intro. to Polynomials (ignore trigonometric functions--look at only the last paragraphs above the last figure and below the next-to-last figure)
Randomized Problems, Week 5 Quiz #1 and randomly choose and submit one of the problems 1-39
Randomized Problems, Week 5 Quiz #2 and randomly choose and submit one of the problems 1-39
Randomized Problems, Week 5 Quiz #3 and randomly choose and submit one of the problems 1-39
Read Chapter 1, Section 5 on limits.
Do problems 1-8, 10, 11, 12, 13, 14, 15-19, 16, 20, 22, 24, 26, 28, 30, 32, 34, 38, 41, 44, 48, 53, 56.
When you have completed the entire assignment run the Query program.
Assignment 11
IMPORTANT NOTE: You should now obtain your second set of CD's from the VHCC bookstore. Call and order them or come in and get them. Make sure they send or give you the SECOND SET.
Complete q_a_ assignment #11 and submit corresponding SEND file
Class Notes #12: Rational Functions, Continuity
Read Chapter 1, Section 6 on continuity.
Do problems 10, 12, 14, 20, 22, 49, 54.
Prepare for Test #1
When you have completed the entire assignment run the Query program.
Assignments 12-21: A Closer Look at the Derivative and the Integral
Assignment 12
IMPORTANT NOTE: You will soon need your second set of CD's. See note on Asst 11 in case you missed it.
Complete q_a_ assignment #12 and submit corresponding SEND file
Class Notes #13: The Derivative
Complete Test #1 in Approved Testing Facility according to instructions.
Read Chapter 2, Section 1 on the derivative.
Do problems 3, 4, 7, 9, 10, 12, 19, 24, 32, 35, 37, 38, 42, 43, 44, 49, 50, 52, 53
When you have completed the entire assignment run the Query program.
Assignment 13
IMPORTANT NOTE: You will soon need your second set of CD's. See note on Asst 11 in case you missed it.
Complete q_a_ assignment #13 and submit corresponding SEND file
Class Notes #14: The Derivative Function
Read Chapter 2, Section 2 on rules for differentiation.
Do problems 2, 3, 7, 10, 15, 16, 19, 20, 23, 25, 29, 30, 34, 35, 40, 45, 56, 48, 49, 55, 56
When you have completed the entire assignment run the Query program.
Assignment 14
Complete q_a_ assignment #14 and submit corresponding SEND file
Read Chapter 2, Section 3 on rates of change and applications
Do problems 2, 5, 8, 11, 12, 15, 19, 20, 21, 22, 26, 27
When you have completed the entire assignment run the Query program.
Assignment 15
Complete q_a_ assignment #15 and submit corresponding SEND file
Class Notes #18: The Fundamental Theorem of Calculus
Reread Chapter 2, Section 3 on rates of change and applications
Do problems 29, 30, 32, 35, 37, 40, 43, 46.
When you have completed the entire assignment run the Query program.
Assignment 16
Complete q_a_ assignment #16 and submit corresponding SEND file
Class Notes #22: Product and Quotient Rules
Reread Chapter 2, Section 4 on Product and Quotient Rules
Do problems 5, 6, 9, 10, 17, 18, 19, 20, 30, 31, 39, 40, 43, 44, 46, 47, 50, 51, 53, 54, 59, 60
When you have completed the entire assignment run the Query program.
Assignment 17
Class Notes #19: Review Notes for Test (see also Derivatives of Polynomials in Class Notes #'s 20, 21)
Class Notes #20: The Fundamental Theorem of Calculus; Derivatives of Polynomials
Class Notes #21: The Fundamental Theorem of Calculus; Derivatives of Polynomials
Read Chapter 2, Section 5 on the Chain Rule
Do problems 1, 2, 3, 5, 7, 8, 15, 20, 23, 28, 38*, 39*
When you have completed the entire assignment run the Query program.
Assignment 18
Class Notes #23: The Chain Rule
Class Notes #15: Interpretation of the Derivative; the Second Derivative
Class Notes #16: Second Derivative; Definite Integral
Class Notes #17: Using DERIVE for integrals and Riemann sums
Reread Chapter 2, Section 5 on the Chain Rule
Do problems 43, 44, 49, 50, 56, 59, 62, 67, 68, 70
When you have completed the entire assignment run the Query program.
Assignment 19
Class Notes #15: Interpretation of the Derivative; the Second Derivative
Class Notes #16: Second Derivative
Read Chapter 2, Section 6 on the Higher Order Derivatives
Do problems 3, 6, 9, 12, 17, 20, 23, 28, 31, 32, 36, 40, 41, 46, 47, 50, 53
When you have completed the entire assignment run the Query program.
Assignment 20
Class Notes #26: Inverse Functions; Chain Rule; Implicit Differentiation
Class Notes #27: Implicit Differentiation; Tangent Line Approximation; l'Hopital's Rules
Class Notes #28: Implicit Differentiation; Maxima, Minima and Inflection Points
Read Chapter 2, Section 7 on Implicit Differentiation
Do problems 4, 5, 9, 10, 17, 18, 21, 22, 25, 30, 31, 33, 36, 38
When you have completed the entire assignment run the Query program.
Assignment 21
Read Chapter 2, Section 8 on Higher Order Derivatives
Do problems 3, 4, 5, 6, 11, 12, 15, 16, 21, 22
When you have completed the entire assignment run the Query program.
Assignments 22-29: Some Applications of the Derivative
Assignment 22
Complete Chapter 2 Test in Learning Lab
Read Chapter 3, Section 1 on Increasing and Decreasing Functions
Section 3.1, Problems 3, 4, 7, 8, 21, 22, 30, 31, 36, 39
When you have completed the entire assignment run the Query program.
Assignment 23
Read Chapter 3, Section 2 on Extrema and First-Derivative Test
Section 3.2, Problems 3, 4, 9, 12, 15, 16, 23, 26, 29, 30, 35, 38, 39, 42, 44, 47
When you have completed the entire assignment run the Query program.
Assignment 24
Read Chapter 3, Section 3 on Concavity and the Second-Derivative Test
Section 3.3, Problems 1-6, 9, 10, 13, 19-22, 25, 30, 45, 46, 47, 48, 49, 50, 59, 60
When you have completed the entire assignment run the Query program.
Assignment 25
Read Chapter 3, Section 4 on Optimization Problems
Class Notes #29: Local Maxima and Minima; Families of Functions
Class Notes #30: Families of Functions; Optimization
Class Notes #31: Optimization
Section 3.4, Problems 3, 6, 9, 10, 11, 14, 15, 18, 21, 27, 28, 34
When you have completed the entire assignment run the Query program.
Assignment 26
Read Chapter 3, Section 5 on Business and Economics Applications
Section 3.5, Problems 1-8, 12, 13, 14, 16, 17, 21, 22, 23, 24, 29, 32
When you have completed the entire assignment run the Query program.
Assignment 27
Read Chapter 3, Section 6 on Asymptotes
Section 3.6, Problems 1, 3, 6, 7, 10, 11, 14, 16, 17, 21, 24, 27, 29, 33, 34, 35, 36, 39, 43, 45, 50, 55, 56, 59, 60
When you have completed the entire assignment run the Query program.
Assignment 28
Read Chapter 3, Section 7 on Curve Sketching
Section 3.7, Problems 3, 6, 9, 12, 18, 24, 29, 31, 32, 35, 36, 45, 48, 52, 53
When you have completed the entire assignment run the Query program.
Assignment 29
Read Chapter 3, Section 8 on Differentials and Marginal Analysis
Class Notes #36: Marginality
Section 3.8, Problems 3, 4, 6, 12, 13, 17, 18, 21, 22, 25, 28, 31, 38
When you have completed the entire assignment run the Query program.
Complete Chapter 3 Test
Review for Cumulative Final Exam
Complete Final Exam in Learning Lab
General Instructions for Completing Assignments