Calculus I Assignments

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

assignments_2d_edition

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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.

Distance Students:  BE SURE YOU HAVE CONTACTED YOUR INSTRUCTOR BY EMAIL.  You will receive instructions for the necessary orientation startup for the course.

You should complete the orientation and startup as instructed prior to continuing.


Assignments 0-5:   Review in Context of Modeling Projects

Assignment 0

Be sure you have completed the orientation and startup as instructed.

Read for important information:

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).

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.

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Assignment 2

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Assignment 3

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

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Go to Randomized Problems, Week 2 Quiz #1 and randomly choose and submit one of the problems 1-19.  Work the problem and submit your solution using the Submit Work Form.

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Assignment 4

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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 and submit one of versions 21-39

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Assignment 5

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

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

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

Text sections 1.1

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Assignments 6-11:   Review and Overview

Assignment 6

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

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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 submit your solution using the Submit Work Form.

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

Text sections 1.2

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Assignment 7

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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 #3 and randomly choose and submit one of the problems.  Work the problem and submit your solution using the Submit Work Form.

Randomized Problems, Week 4 Quiz #1 and randomly choose and submit one of the problems.    Work the problem and submit your solution using the Submit Work Form.

Text section 1.3

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Assignment 8

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

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

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

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

Text section 1.4

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Assignment 9

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

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Text section 1.5

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Assignment 10

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

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Complete Major Quiz

Text section 1.6

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Assignment 11

Mth 173
Set 2 (5 CDs): Cal1 #5, #6, #7, #8, #9

Class Notes #12:    Rational Functions, Continuity

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Text section 1.7

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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

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Text Sections 2.1-2.3

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Assignment 13

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

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Text Section 2.3

Text Section 2.4

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Assignment 14

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Class Notes #16:    Second Derivative; Definite Integral

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

Text Section 2.5, 2.6 and 5.1

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Assignment 15

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Class Notes #18:    The Fundamental Theorem of Calculus

Text Section 5.2

Text Section 5.3

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Assignment 16

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

Text Section 5.4 

Review Introductory Material, Class Notes and Text Chapters 1, 2 and 5.1 - 5.3 for Test #1

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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 according to Testing Instructions on the Supervised Study Current Semester pages.

Text Section 3.1

Text Section 3.2

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Assignment 18

Class Notes #22:    Product and Quotient Rules

Text Section 3.3

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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 3.4

Text Section 3.5

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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 3.6

Text Section 3.7

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Assignment 21

Text Sections 3.9, 4.7 and 4.8

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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 4.1

Text Section 4.2

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Assignment 23

Class Notes #31:    Optimization

Text Section 4.3

Review for Test #2, Covering Sections 3.1 - 4.3 (main emphasis: approximately 65% of test) and all previous material (secondary emphasis, approximately 35% of test)

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

Assignment 24

Class Notes #32:    Optimization; Completeness Axiom; Limits

Focus on Theory, Completeness of the Real Numbers.  

Do Problems 2-3.

Focus on Theory:  Limits and Continuity (Download and print pdf file from http://wiley.com/college/bcs/0471408263/instructor/instructor.html site under Theory 2).

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Review for Test on Chapters 3.1-4.3

Assignment 25

Class Notes #33:    Limits, Differentiability, Review

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

Class Notes #35:    Class Review (continued)

Continuity and Differentiability

Review for Test 2.

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Assignment 26

Text, Focus on Theory, The Definite Integral (Download and print pdf file from http://wiley.com/college/bcs/0471408263/instructor/instructor.html site under Theory 3).

Test on chapters 3 and 4.1-4.3

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Assignment 27

Class Notes #36:    Marginality

Text, Section 4.4

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Assignment 28

Class Notes #37:    Modeling

Class Notes #38:    Modeling; Introduction to Hyperbolic Functions

Text, Section 4.5

Text, Section 4.6

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Assignment 29

Class Notes #39:    Hyperbolic Functions, Differentiability

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

Class Notes #41:    Review II

Text section 4.7

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.  Submit the dated SEND***.txt file using the Submit Work Form.

Notes from Fall 02 Classes

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