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MAC1140  -  PreCalculus Algebra
Handouts & Worksheets


Handouts  
TI-83 Plus

 

 

 

Review:  Handouts and Worksheets
PERT Study Guide for Mathematics - Link
Courtesy of AIMS Community College - Arithmetic ,  Elementary AlgebraCollege Algebra

Pensacola State College Course Companion Websites - Link

Greek Alphabet - Notes1Notes2Notes3Pronunciation

 

 

 

Chapter 2
  Analysis of Graphs of Functions

Transforming Functions
Parent Functions  - Handout

Transformations of Functions - Terminology  ,  Summary
Transforming Parabolas (Transformation Worksheet 2) -  HomeworkKey
Transforming Parent Functions (Transformation Worksheet 4)  -  Homework
Transforming Piecewise-Defined Functions - Homework  , Key  ,   Extra Worksheet
Transforming Trigonometric Functions - Notes

Continuous Functions - Definitions (Ch 12) - Notes
Graphing Piecewise-Defined Functions 2 - Homework
Combinations of Functions - Notes
Addition of Ordinates - Worksheet
Adding & Multiplying Functions -  Notes
SLOPE of a line -  Notes

Limits

Limit of a Function 1 (Ch 12) - Notes
Limit of a Function 1 - Notes (7 pages)Summary
Hiccup Function - Limit (Ch 12) - Notes
Hiccup Function - Continuity  (Ch 12) - Notes
Estimate the Area Under a Curve - Limits 1 - Notes
Estimate the Area Between Two Curves - Limits 1 - Notes
Estimate the Area Between Two Curves - Limits 2 - Notes
 
Chapter 3 Polynomial Functions (Review)
Functions: Zeros / X-Intercepts / Solutions / Factors - Notes
Repeated Zeros of a Polynomial, 3 Cases - Notes
Factoring Polynomials: Zeros and Multiplicity Summary - Notes
Factoring a Polynomial by Using Its Graph 1  - Worksheet Key
SUMMARY: Factor / Find Zeros of Polynomials 1 - Worksheet
Chapter 4
  Rational, Power, and Root Functions
Rational Functions and Asymptotes Summary  -  Simple  ,  Advanced
Analyze Rational Functions - WorksheetKey
Rational Function with a Hole1 - Notes
Rational Function with a Slant Asymptote1 -  Notes
Special Cases of Rational Functions - Notes

Body Mass Index - Notes
Rational Inequalities - Notes
Solving Rational Inequalities using a Table - Notes
 
Chapter 5
  Inverses and Exponential & Logarithmic Functions

Exponential and Logarithmic Functions Summary -
Notes

Inverse Functions
One-to-one Functions:  Definition ,  Notes

Find the Inverse Function - SummaryExample1  ,  Example2  ,  Homework

Exponential Functions
Exponential Functions: y = a^x   -  Case: a>1  ,  Case: 0<a<1  ,  Worksheet

What is  e ? -  Notes  ,  PowerPointCalculus Proof
Translating Exponential Functions - Notes
Estimating Exponential Functions - Notes
Drug Medication - Homework
Healing of Wounds - Worksheet
Compound Interest 1 -  Proof  ;  HomeworkKey
Monthly Payment Formula - Notes
Carbon-14 Dating - Notes1 , Notes1- Large Print , Notes2 , Notes3

Logarithmic Functions
What is the Common Logarithm of a Number?  -  Notes
Evaluate Logarithms -  Worksheet
Who invented Logarithms? -  Notes
How were logarithms used in the past?  -  Multiplication Radicals Table
Logarithmic Functions -  Graphs

Rule of Thumb when estimating Logarithms - Notes
Exponential and Logarithmic Functions Symmetry - Notes

Population Growth
Population Growth - formula
Where did the Population Growth Function come from?  Differential Equation
Exponential Growth of Rabbits in Australia
   Modeling the growth of rabbits -  NotesUnintended Consequences
Exponential function vs. Logistics function
   Comparing the functions -  Graphs
   Growth of Mosquitoes -  Graphs

Amazing Facts
Doubling Rice Grains - Notes ,  supporting calculations
Power Functions vs. Exponential Functions - Notes
Visualize Powers of 10 - Web Link
 
Chapter 6
  Analytic Geometry

The Conic Sections
   Diagram , Summary
   Eccentricity of a Conic Section - DefinitionSummary
   Relating Eccentricity to a Conic Section -  Applet

The Parabola
   TranslationsGeometrySummary , Focus Summary
   Parabola & Focus Animation - GRAPH Animation or Video
(Video animations work best in QuickTime to make them interactive)

The Circle
   Diagram
   Find an Equation of a Circle - Worksheet , Key

The Ellipse
   Diagram 1, Diagram 2 , Construction Animation ,  Focus-Directrix Animation
   Ellipse & Foci Animation - Horizontal - GRAPH Animation or Video
   Ellipse & Foci Animation - Vertical -     GRAPH Animation   or Video
   Interactive Comet Animation - Link
   Eccentricity of the Planets - Table
   Ellipse - Foci - Directrix - Notes

The Hyperbola
   Diagram 1, Diagram 2
   GRAPH Animation or Video  ,  Applet

Worksheets
Find an Equation of the Conic Graphs - Homework

Analyze the Conic Graphs - Homework
Conic Sections Summary - Blank Table - Cheat Sheet
 
Chapter 7
  Systems of Equations and Inequalities; Matrices

Systems of Linear Equations - 3 Cases - Notes
Systems of Linear Equations - Summary of Methods - Class Handout
Systems of Linear Equations - Classification - Notes
Solving Systems of Non-Linear Equations - Notes
Solving Systems of Linear Equations - TI-83 - Class Handout
Graphing Points in 3-D - Notes
Solving Systems of Linear Equations - 3-D Graph - Notes
Matrix Row Transformations - Notes
Solving Systems of Linear Equations - Gaussian Elimination - Handout , Larger Print
Properties of Matrices - Notes
Cramer's Rule - Notes
Partial Fraction Decomposition - SummaryAdvanced Homework
Chapter 11
  Further Topics in Algebra
Doubling Rice Grains -  NotesWorksheet
Taylor Series Expansions of Functions - NotesTheory
The Binomial Theorem - Notes Homework
Mathematical Induction - Notes
Chapter 12
  Limits, Derivatives, and Definite Integrals
  Estimate the Area Under a Curve - Limits 1 - Notes
Estimate the Area Between Two Curves - Limits 1 - Notes
Estimate the Area Between Two Curves - Limits 2 - Notes