Brief Index

 

Precalculus I

Spring 2000

First Steps

Syllabus
MPEG player
Getting Started
Precalculus I Week I
Design of the Course
What to Include in Submitted Work

Contents of CD's

Assignments
Timetable for Assignments
Assignments 0-6
Assignments 7-14
Assignments 15-19
Assignments 20-24
Assignments 25-31

Worksheets and Problem Sets

Class Notes

Contents
Classes #1-#6
Classes #7-#13
Classes #14-#20
Classes #21-#25
Classes #26-#28

Randomized Problems

Tests

Learning Aids

Linked Outline
Framework and Main Ideas
Questions and Answers
DOS programs
Summary of Headings

Messages

 

Summer 2000 Homepage (Preliminary Version)

Welcome to the VHCC Precalculus I homepage.  This page contains notes, assignments and other related information.  Please E-mail dsmith@vh.cc.va.us and dasmith@naxs.com with questions or comments.  

Click here if you require Fall 1999 Homepage

For General Information return to main page 164.106.222.236 and click on General Information


Assignments

Complete Exercises in indicated Assignments; complete other tasks as indicated.

Assignments are to be completed within two days after the assignment date.


Problems marked with asterisk * to be submitted in self-documented form via e-mail.  Scanned documents are not required, but such documents may be submitted through the dsmith@vh.cc.va.us address only; such documents may become public and therefore should not contain your name or any identifying marks.

Assignments 0-6:   Modeling and Basic Function Families

Assignment 0

Complete and submit Introductory Rate Problems and Communications Exercise

Assignment 1

See also Class Notes #01 and #02

  • Distance Students:  Note that CD'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 and submit your answers to questions posed and your comments on the ideas presented.

Introductory Flow Experiment 

  • If you wish to use simulated data for this experiment, go to Randomized Problems and choose Simulated Data for Flow Experiment.

Distance Students:  View Precalculus material on PC1 PH1 CAL1 DISK 1 and ponder questions posed in documentation.

Assignment 2

Suggested Review: Text, Section 1.5

Overview and Introduction:  The Modeling Process applied to Flow From a Cylinder (Class Notes #01) 

  • ** Note:    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.

Assignment 3

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)

Assignment 4

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.

Assignment 5

See also Class Notes #05

Suggested Review:  Text Sections 2.1, 2.2 and 2.3

Introduction to Basic Function Families 

Assignment 6

See also Class Notes #06

Basic 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 Tests

Assignments 7-14:  Linear Functions, Power Functions and Proportionality

Assignment 7

See also Class Notes #07

Suggested Review:  Text Section 1.6

Introduction to linear functions (Class Notes #07)

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.  See Major Quiz under Tests

Assignment 8

Initial DERIVE exercise

Review major quiz; work on DERIVE (suggestion:  work on DERIVE exercise after taking Major Quiz)

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.

Assignment 9

See also Class Notes #08

Text Assignment:  Section 2.5, #'s 5, 10, 15, 20, 25, 30, 35

Symbolic Calculation of Slope

Text assignment:  Section 1.3.  Follow the same instructions as for the Section 1.1 assignment of Week 1.

Assignment 10

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

Assignment 11

See also Class Notes #10

Introduction to Proportionality  Exercises 1-10  (Class Notes #10)

Assignment 12

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):                    

Assignment 13

See also Class Notes #12, #13

Complete final assignment prior to test 1.

Study Linked Outline

Assignment 14

Two Examples and a Picture

Optional practice problem set:

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.

Assignments 15-19:  Exponential Functions and Curve Fitting

Assignment 15

Complete Test #1 by 10/19/99

See also Class Notes #14

Introduction to Exponential Functions  Problems 1-28 (Class Notes #14) 

  • ** Note:    Instead of the problems stated in the documents, go to Randomized Problems, Precalculus I, Exponential Model, and randomly choose one of the nine problem versions.  These problems are similar but not identical to those in your documents. **

Assignment 16

See also Class Notes #15

Behavior and Source of Exponential Functions  Complete All Problems (Class Notes #15) 

  • ** Note:    Instead of the problems stated in the documents, go to Randomized Problems, Precalculus I, Exponential Model Part 2, and randomly choose one of the nine problem versions.  These problems are similar but not identical to those in your documents. **

Suggested Review:  Text Section 4.2

Assignment 17

See also Class Notes #16 and #17

Linearizing Data and Curve Fitting  Complete all problems

Suggested Review:  Text Section 4.1

Inverse Functions and Logarithms Complete all problems

Suggested Review:  Text Section 4.3

Assignment 18

See also Class Notes #18 and #19

Logarithms, Logarithmic Functions, Logarithmic Equations  Complete all problems (Class Notes #17)

Fitting Exponential Functions to Data  Complete all problems (Class Notes #18)

Suggested Review:  Text Section 4.4, 4.5

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

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

Assignment 21

See also Class Notes #22

Possible Numbers of Zeros, Approximations   Complete all problems

Suggested Review:  Text Section 3.5

Assignment 22

Review Exponential, Logarithmic and Polynomial Functions

Properties of Functions Part I              Complete all problems

Assignment 23

See also Class Notes #23

Combining Graphs of Functions    Complete all problems

Text Assignments:  Sections 4.5 - 4.7.  Read sections and problems and be sure you can do everything.

Assignment 24

See also Class Notes #24, 25

Suggested Review:  Text Section 2.4

Product Functions and Composite Functions   Complete all problems

Assignments 25-31:  Sequences; Difference Equations; Wrapup and Review

Assignment 25

Complete Test #2.

Assignment 26

See also Class Notes #26

Sex and Drugs            Complete all problems (Class Notes #26)

Assignment 27

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

Assignment 31

Complete final exam


Class Notes      

Class Notes are posted here without video links, due to the large size of video files.  Class notes including video links are distributed on CD's.

Class Notes #1-#6

#01: Depth vs. Clock Time Model

#02: Quadratic Model of Depth vs. Clock Time (3 points, 3 simultaneous equations)

#03: Graphs of Quadratic Functions

#04: Graphs of Quadratics Functions; Function Notation

#05: Introduction to Function Families

#06: Power Functions, Rates and Slopes

Class Notes #7-#13

#07: Rates; Modeling by a Linear Function

#08: Symbolic Slopes; Slope = Slope Equation

#09:   Linear Functions

#10:  Proportionality and Sand Piles

#11: Proportionality

#12:   Proportionality, Laws of Exponents, Sequences

#13:   Review Notes for Test

Class Notes #14-#20

#14:   Exponential Functions

#15:   Test Questions; Behavior of Exponential Functions

#16:   Exponential Functions; Inverse Functions and Logarithms

#17:   Using Logarithms

#18:   Logarithms; Modeling Exponential Behavior

#19:   Linearizing Exponential Data; Introduction to Polynomials

#20:   Linearizing Data

Class Notes #21-#25

#21:   Graphs of Polynomials

#22:   Graphs of Polynomials and Power Functions

#23:   Combining Functions:  Ball down Incline and onto Floor

#24:   Review; Practice Test

#25:   Combining Functions Graphically

Class Notes #26-#28

#26:   Sex and Drugs

#27:   Review I

#28:   Review II


Worksheets and Problem Sets

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


Questions and Answers


DOS programs

DOS simulations


Messages

Messages