Calculus I Assignments

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Click on and Read   Instructions   (above) and Consult   Due Dates   (click above)

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Assignments 0-5
Assignments 6-11

Assignments 12-16

Assignments 17-21
Assignments 22-23
Assignments 24-29

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Assignments

Distance Students note that you are to do all the assignments, not just those specified for Distance Students.  Some files are so specified because in-class students do equivalent exercises in a different format.

Preliminary Assignment (orientation and assessment)

Distance Students:  BE SURE YOU HAVE CONTACTED YOUR INSTRUCTOR BY EMAIL.  You will receive instructions for enrolling in 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.  Due to the variable times required to complete the preliminary assignment, each student may choose to work with a one- or two-week delay from the posted Due Dates.

Assignments 0-5:   Review in Context of Modeling Projects

Assignment 0

Read for important information:

When you have completed the entire assignment run the Query program.

Assignment 1

See also Class Notes #01-#03

Distance Students:  Video Versions of Class Notes Start on CD #2 with Class Notes #03; Classes #01-#02 on Combined CAL1_PH1_PC1 Disk #1.

Complete q_a_ assignment #1 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).

Describing Graphs: 

Distance Students:  As you have been instructed, you should have run the program q_a_initial_pbs.exe, which you were instructed to download into your c:\vhmthphy folder.  You should have been instructed to do the Describing Graphs problems and send the SEND file to the instructor.  If you have not done this, do so now.

In-class students:  You will be instructed regarding the Describing Graphs assignment.

When you have completed the entire assignment run the Query program, but choose Assignment 2 (this is because these assignments have been interchanged since the last version of the associated Query file was created).

Assignment 2

Complete q_a_ assignment #2 and submit corresponding SEND file

Complete DERIVE worksheet (DERIVE is available in the Learning Lab and the Math/Science Lab). 

When you have completed the entire assignment run the Query program, but choose Assignment 1 (this is because these assignments have been interchanged since the last version of the associated Query file was created).

Assignment 3

Class Notes #04:  The Concepts of Differentiation and Integration in the Context of Rate Functions

Complete q_a_ assignment #3 and submit corresponding SEND file

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.

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. **

Go to Randomized Problems, Introductory Problems, Followup Set (scroll down from First Set until you get to Followup Set) and randomly choose and submit one of the nine problem versions.    Work the problems and email your solutions.   Be sure to carefully read and follow all directions.

When you have completed the entire assignment run the Query program.

Assignment 5

Class Notes #05:   Growth of an Exponential Function; Trapezoidal Representation of Approximate Derivatives and Integrals

Complete q_a_ assignment #5 and submit corresponding SEND file

Modeling Project #2:  Complete Remaining Exercises (read associated material)

Randomized Problems, Week 2 Quiz #1 and randomly choose and submit one of the problems.  Work the problem and email your solution.

Text sections 1.1

When you have completed the entire assignment run the Query program.

Assignments 6-11:   Review and Overview

Assignment 6

Class Notes #06:   Project #3;   Derivative of y = a x^3; The Differential

Complete q_a_ assignment #6 and submit corresponding SEND file

Linked Outline of Introductory Topics through Major Quiz:  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.    Work the problem and email your solution.

Randomized Problems, Week 3 Quiz #2 and randomly choose and submit one of the problems.  Work the problem and email your solution.

Text sections 1.2

When you have completed the entire assignment run the Query program.

Assignment 7

Complete q_a_ assignment #7 and submit corresponding SEND file

Class Notes #07:  The Differential; Tangent Line Approximation to Differential

Class Notes #08:    Text problems; First Introduction to Differential Equations

Randomized Problems, Week 3 Quiz #3 and randomly choose and submit one of the problems.    Work the problem and email your solution.

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 4 Quiz #1 and randomly choose and submit one of the problems.    Work the problem and email your solution.

Text section 1.3

When you have completed the entire assignment run the Query program.

Assignment 8

Class Notes #09:    Text problems; Introduction to Natural Logarithms and Composite Functions; Numerical Solution of Differential Equations

Complete q_a_ assignment #8 and submit corresponding SEND file

Randomized Problems, Week 4 Quiz #2 and randomly choose and submit one of the problems.    Work the problem and email your solution.

Randomized Problems, Week 4 Quiz #3 and randomly choose and submit one of the problems.    Work the problem and email your solution.

Text section 1.4

When you have completed the entire assignment run the Query program.

Assignment 9

Class Notes #10:    Predictor-corrector methods; Sine and Cosine functions

Complete q_a_ assignment #9 and submit corresponding SEND file

Text section 1.5

When you have completed the entire assignment run the Query program.

Assignment 10

Class Notes #11:    Trigonometric Functions; Brief Intro. to Polynomials

Complete q_a_ assignment #10 and submit corresponding SEND file

Complete Major Quiz

Randomized Problems, Week 5 Quiz #1 and randomly choose and submit one of the problems.    Work the problem and email your solution.

Randomized Problems, Week 5 Quiz #2 and randomly choose and submit one of the problems.    Work the problem and email your solution.

Randomized Problems, Week 5 Quiz #3 and randomly choose and submit one of the problems.    Work the problem and email your solution.

Text section 1.6

When you have completed the entire assignment run the Query program.

Assignment 11

Class Notes #12:    Rational Functions, Continuity

Complete q_a_ assignment #11 and submit corresponding SEND file

Text section 1.7

When you have completed the entire assignment run the Query program.

Assignments 12-16:   A Closer Look at the Derivative and the Integral

Assignment 12

Class Notes #13:    The Derivative (Text 2.1, 2.2)

Class Notes #14:    The Derivative Function

Complete q_a_ assignment #12 and submit corresponding SEND file

Text Sections 2.1-2.2

When you have completed the entire assignment run the Query program.

Assignment 13

Class Notes #15:    Interpretation of the Derivative; the Second Derivative

Complete q_a_ assignment #13 and submit corresponding SEND file

Text Section 2.3

Text Section 2.4

When you have completed the entire assignment run the Query program.

Assignment 14

Class Notes #16:    Second Derivative; Definite Integral

Class Notes #17:    Using DERIVE for integrals and Riemann sums

Text Section 2.5 and 3.1

When you have completed the entire assignment run the Query program.

Assignment 15

Class Notes #18:    The Fundamental Theorem of Calculus

Text Section 3.2

Text Section 3.3

When you have completed the entire assignment run the Query program.

Assignment 16

Class Notes #19:    Review Notes for Test  (see also Derivatives of Polynomials in Class Notes #'s 20, 21)

Text Section 3.4 

Review Introductory Material, Class Notes and Text Sections 1.1-3.3 for Test #1

When you have completed the entire assignment run the Query program.

Assignments 17-21:  Derivatives of Basic Functions, Properties of Derivatives

Assignment 17

Class Notes #20:    The Fundamental Theorem of Calculus; Derivatives of Polynomials

Class Notes #21:    The Fundamental Theorem of Calculus; Derivatives of Polynomials

Complete Test #1 in Learning Lab

Text Section 4.1

Text Section 4.2

When you have completed the entire assignment run the Query program.

Assignment 18

Class Notes #22:    Product and Quotient Rules

Text Section 4.3

When you have completed the entire assignment run the Query program.

Assignment 19

Class Notes #23:    The Chain Rule

Class Notes #24:    The John Glenn Launch:  A review of proportionality and integration; Trigonometric Functions

Class Notes #25:    Trigonometric Functions; Applications of Chain Rule; Inverse Functions

Text Section 4.4

Text Section 4.5

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

Text Section 4.6

Text Section 4.7

When you have completed the entire assignment run the Query program.

Assignment 21

Text Section 4.8

When you have completed the entire assignment run the Query program.

Assignments 22-23:  Some Applications of the Derivative

Assignment 22

Class Notes #29:    Local Maxima and Minima; Families of Functions

Class Notes #30:    Families of Functions; Optimization

Text Section 5.1

Text Section 5.2

When you have completed the entire assignment run the Query program.

Assignment 23

Class Notes #31:    Optimization

Text Section 5.3

Review for Test #2, Covering Sections 4.1 - 5.3 (main emphasis: approximately 65% of test) and all previous material (secondary emphasis, approximately 35% of test)

When you have completed the entire assignment run the Query program.

Assignments 24-29:  Theory of Limits, Derivative, Integrals; Optimization, Modeling

Assignment 24

Class Notes #32:    Optimization; Completeness Axiom; Limits

Text, Focus on Theory, Completeness of the Real Numbers, Pages 82-85

Text, Focus on Theory, Pages 127-133:  Limits and Continuity; Review for Test on Chapters 4 and 5

When you have completed the entire assignment run the Query program.

Assignment 25

Class Notes #33:    Limits, Differentiability, Review

Class Notes #34:    Test Review (includes practice test)

Class Notes #35:    Class Review (continued)

Text, Focus on Theory, Pages 136-141:   Differentiability and Linear Approximation; Review for Test on Chapters 4 and 5

Review for Test on Chapters 4 and 5

When you have completed the entire assignment run the Query program.

Assignment 26

Text, Focus on Theory, Pages 181-186

Test on chapters 4 and 5.1-5.3

When you have completed the entire assignment run the Query program.

Assignment 27

Class Notes #36:    Marginality

Text, Section 5.4

When you have completed the entire assignment run the Query program.

Assignment 28

Class Notes #37:    Modeling

Class Notes #38:    Modeling; Introduction to Hyperbolic Functions

Text, Section 5.5

Text, Section 5.6

When you have completed the entire assignment run the Query program.

Assignment 29

Class Notes #39:    Hyperbolic Functions, Differentiability

Class Notes #40:    Review I.  Click also for Differentiability II.

Class Notes #41:    Review II

Focus on Theory, Pages 286 - 289, Theorems about Continuous and Differentiable Functions

Review for Final

Complete Final Exam in Learning Lab


General Instructions for Completing Assignments

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Distance Students need to have the Query program installed according to instructions and to use it as directed after each assignment.  Attach the dated SEND***.txt file to your email message