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Second DERIVE assignment (in-class students only)
Assignments 0-6
Assignments 7-14
Assignments 15-19
Assignments 20-24
Assignments
25-31
Assignments
Assignments are to be completed within two days after the assignment date.
Distance Students: BE SURE YOU HAVE CONTACTED YOUR INSTRUCTOR BY EMAIL. You will receive emailed instructions for accessing the necessary orientation to the course.
Assignments 0-6: Modeling and Basic Function Families
Assignment 0 (orientation and assessment)
Distance Students should have completed Orientation and Startup according to instructions received through student's VCCS email account. If instructions have not been received, email the instructor immediately.
DISTANCE STUDENTS: NOTE VIDEO VERSIONS OF CLASS NOTES ON CD's, Starting with CD #2. See CD Contents for table of contents.
Assignment 1
To complete your assignment, click on each link in the following and do as instructed.
Submit the open qa for this assignment (if you have already done this as part of the Orientation, you do not need to repeat it, though if you wish to work through it again you are welcome to do so).
See also Class Notes #01 and #02.
- This means to click on the link (the words Class Notes in the preceding sentence are a link), locate Class Notes 1 and 2 and read them. However the video links aren't active on that version. So you should:
- Go to your CD or DVD and run it according to instructions given in the Orientation (it's CD #2; see the link in Prelim Assignments entitled CD Contents). You can locate Class Notes #01 and #02 there; and the video links work.
Distance Students: Note that DVD's contain class notes with video clips, starting with CD #2.
Suggested Review: Text Sections 1.1 and 1.2, if necessary
Read and think about Introduction to Central Themes; Examples
Do the Introductory Flow Experiment and conduct the experiment; you do not yet need to go to the documents referred to at the end of the experiment, but you do need to answer the questions posed in the experiment.
If you wish to use simulated data for this experiment, go to Randomized Problems, choose Precalculus I and choose Simulated Data for Flow Experiment.
Distance Students: View Precalculus material on GEN 1 CD and ponder questions posed in documentation.
Run the GEN1 CD as instructed. The html page that runs the CD will give you a menu clearly delineating Precalculus material from Calculus and Physics material.
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Assignment 2
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Suggested Review: Text, Section 1.5
Overview and Introduction: The Modeling Process applied to Flow From a Cylinder (see also Class Notes #01). Read note below first.
** Note: If so instructed, and only if so instructed, instead of the problems stated in the documents, go to Randomized Problems, Introductory Flow Model (Model 1), and randomly choose one of the nine problem versions. These problems are similar but not identical to those in your documents. **
Completion of the Introductory Flow Model (Class Notes #02) Distance students: submit your solutions to the exercises.
** Continue to use the Randomized Problems from the preceding document. **
Distance Students: View Introduction on CD #2.
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Assignment 3
Submit the open qa for this assignment (if you have already done this as part of the Orientation, you do not need to repeat it, though if you wish to work through it again you are welcome to do so).
See also Class Notes #03
Properties of Quadratic Functions
note that the DOS program QUADEQ provides useful practice; use it if practice is required
Optional Exercises for Practice: Graphs of selected parabolas (a series of DOS-based exercises)
Introduction to Matrices (Beginning Summer 01): Assignment will be posted prior to due date.
Most Basic Properties of Linear, Quadratic and Exponential Functions: Practice until you can instantly and accurately sketch these graphs.
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Assignment 4
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See also Class Notes #04
Suggested Review: Text Section 3.1
Review of algebra:
Text Section 1.1 work all problems highlighted in blue. If you can't get the correct answer to a problem before looking at the back of the book (check back of book after working), you should do more problems of similar nature. You are responsible throughout the course for knowing all the algebra in this section. If you run into difficulties please e-mail the instructor with questions.
Introduction to f(x) notation and the generalized modeling process (Class Notes #04)
Complete Exercises
Randomized Problems Week 2 Quiz #1 and submit your solution to a randomly chosen version.
Basic Point Graphs: Practice until you can instantly sketch the graph of a linear, quadratic or exponential function from basic points.
Submit the open query for this assignment.
Submit the open qa for this assignment.
See also Class Notes #05
Suggested Review: Text Sections 2.1, 2.2 and 2.3
Introduction to Basic Function Families
Solving Systems of Equations Using Matrices (Starting Summer 01)
Basic-point graphs: Identifying Equations from Basic Points: Do quadratic functions only. Be able to quickly find the equation of a quadratic function from its basic points.
Submit the open query for this assignment.
Submit the open qa for this assignment.
See also Class Notes #06
TestsBasic Function Families and Introduction to Rates and Slopes
Randomized Problems Week 3 Quiz #1 and submit your solution to a randomly chosen version.
Randomized Problems Week 3 Quiz #2 and submit your solution to a randomly chosen version.
Begin studying for Major Quiz on Assignments 0-6. See Major Quiz under
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See also Class Notes #07
Suggested Review: Text Section 1.6
Introduction to linear functions (Class Notes #07)
Using Matrices to Calculate Rates (Beginning Summer 01)
Study Linked Outline for summary of topics to be included on the Major Quiz. Topics through Rates and Slopes (Class Notes #06) are included. Click on links to see a brief discussion of topics. Check assignments, class notes and CD for details.
Complete Major Quiz, Covering Assignments Through #6, according to Testing Instructions on the Supervised Study Current Semester pages. See Major Quiz under Tests.
Submit the open query for this assignment.
Submit the open qa for this assignment.
Basic-point graphs: Identifying Equations from Basic Points: Do linear functions only. Be able to quickly find the equation of a linear function from its basic points
Review major quiz; work on Initial DERIVE exercise (suggestion: if you wish to use the VHCC copy of DERIVE you might be able to arrange your time so you can work on DERIVE exercise in the Learning Lab after taking Major Quiz; free downloads are as of 10/20/11 available online; website isn't listed here because websites change; this is about a 4 megaByte download, with very simple installation; Version 5 is sufficient, but instructions should work also the Version 6.)
Randomized Problems Week 4 Quiz #1 and submit your solution to a randomly chosen version.
Randomized Problems Week 4 Quiz #2 and submit your solution to a randomly chosen version.
Randomized Problems Week 4 Quiz #3 and submit your solution to a randomly chosen version.
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Assignment 9
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See also Class Notes #08
Text Assignment: Section 2.5, #'s 5, 10, 15, 20, 25, 30, 35
Symbolic Calculation of Slope Using Matrices to Study the Rate Behavior of the Basic Functions (beginning Summer 01)
Text assignment: Section 1.3. Follow the same instructions as for the Section 1.1 assignment of Week 1.
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Assignment 10
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See also Class Notes #09
Text assignment: Sections 2.1 and 2.2. Read these sections and be sure you understand them thoroughly.
Randomized Problems Week 5 Quiz #1 and submit your solution to a randomly chosen version.
The Family of Linear Functions
The Equation of a Line, all exercises
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Assignment 11
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See also Class Notes #10
Introduction to Proportionality Exercises 1-10 (Class Notes #10)
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See also Class Notes #11
Suggested Review: Text section 3.2, subsection on Power Functions
Power Function Proportionalities Exercises 1-10 (Class Notes #11)
Recommended Reading: Text Section 2.4
Randomized Proportionality Problems: Study and master one version, use other version for practice (click on desired version):
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Assignment 13
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See also Class Notes #12, #13
Complete final assignment prior to test 1.
Study Linked Outline
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Two Examples and a Picture
Optional practice problem set:
More practice problems (6 problems, by student request)
Text Assignment: Sections 2.3 and 2.5. Read 2.3 and be sure you understand transformations. Read 2.5 and to the 'blue' problems, following the usual instructions.
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Assignments 15-19: Exponential Functions and Curve Fitting
Assignment 15
Mth 163 Set 2 (3 CDs)
PC1 #5, #6
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See also Class Notes #14
Introduction to Exponential Functions Problems 1-28 (Class Notes #14)
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Assignment 16
Complete Test #1
See also Class Notes #15
Behavior and Source of Exponential Functions Complete All Problems (Class Notes #15)
Basic-point graphs: Identifying Equations from Basic Points: Do exponential functions only. Be able to quickly find the equation of an exponential function from its basic points.
Suggested Review: Text Section 4.2
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Assignment 17
See also Class Notes #16 and #17
Using Matrices to Identify Exponential Behavior (beginning Summer 01)
Suggested Review: Text Section 4.1
Inverse Functions and Logarithms Complete all problems
Logarithms, Logarithmic Functions, Logarithmic Equations Complete all problems (Class Notes #17)
Suggested Review: Text Section 4.3
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Assignment 18
See also Class Notes #18 and #19
Linearizing Data and Curve Fitting Complete all problems
Fitting Exponential Functions to Data Complete all problems (Class Notes #18)
Suggested Review: Text Section 4.4, 4.5
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Assignment 19
See also Class Notes #19 and #20
Suggested Review: Text Section 4.6-4.8
View and understand an actual analysis used in a physics class in Analysis of a Pendulum Experiment
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Assignments 20-24: Polynomials and Properties of Functions
Assignment 20
See also Class Notes #21
Introduction to Polynomials Complete all problems
Shapes of Polynomial Graphs Complete all problems
Suggested Review: Text Section 3.2
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Assignment 21
See also Class Notes #22
Possible Numbers of Zeros, Approximations Complete all problems
Suggested Review: Text Section 3.5
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Assignment 22
Review Exponential, Logarithmic and Polynomial Functions
Properties of Functions Part I Complete all problems
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Assignment 23
See also Class Notes #23
Combining Graphs of Functions Complete all problems
Graphs for Practice: Graphs to combine using addition, multiplication, subtraction, division
Text Assignments: Sections 4.5 - 4.7. Read sections and problems and be sure you can do everything.
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Assignment 24
See also Class Notes #24, 25
Suggested Review: Text Section 2.4
Product Functions and Composite Functions Complete all problems
Graphs for Practice: Graphs to combine using addition, multiplication, subtraction, division
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Complete Test #2.
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Assignment 26
See also Class Notes #26
Sex and Drugs Complete all problems (Class Notes #26)
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DERIVE strategies for curve fitting Complete the exercise
Assignment 29
The Illumination Experiment Complete the Exercise
Assignment 30
See also Class Notes #27, 28
Review for Final
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.
1.1: Overview and Introduction: The Modeling Process applied to Flow From a Cylinder
1.2: Completion of the Introductory Flow Model
1.3: Properties of quadratics
1.4: Introduction to f(x) notation and the generalized modeling process
1.5: Introduction to Function Families and Basic function families
1.6: Introduction to Rates and Slopes
1.7: Initial DERIVE exercise
1.8: Review Highlights for Test #1 NOTE review DERIVE
2.1: I ntroduction to linear functions
2.2: The family of linear functions
2.3: Symbolic Calculations of Slopes
2.4: The Equation of a Line
2.5: Initial derive exercise
2.6: Introduction to Proportionality
2.7: Power Function Proportionalities
3.1: Introduction to Exponential Functions
3.2: Behavior and Source of Exponential Functions
3.3: Inverse Functions and Logarithms
3.4: Logarithms, Logarithmic Functions, Logarithmic Equations
3.5: Linearizing Data and Curve Fitting
3.6: Fitting Exponential Functions to Data
4.1: Introduction to Polynomials
4.2: Shapes of Polynomial Graphs
4.3: Possible Numbers of Zeros, Approximations
4.4: Properties of Functions Part I
4.5: Combining Graphs of Functions
4.6: Product Functions and Composite Functions
5.1: Sex and Drugs
5.2: DERIVE strategies for curve fitting
5.3 The Illumination Experiment