Kevin Quattrin, EdD
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The PreCalculus Project
by Kevin Quattrin, EdD., et.al.
(Download each Chapter below)                          Odd Solution Manual

Introduction:   General Preview of Analytic Geometry and Calculus (pdf)   
     

Chapter 0:       Triangle Trigonometry (pdf)

Chapter 0 Overview: Triangle Trigonometry                                        
0-1:   Right Triangle Review                                                              
0-2:   The Law of Cosines                                                                
0-3:   Area and the Law of Sines                                                       
0-4:   SSA--The Ambiguous Case                                                  
0-5:   Mathematical Modeling with Triangles                                  
Triangle Trigonometry Practice Test                                               
Triangle Trigonometry Answer Key       
                                         


Chapter 1:         Analytic Trigonometry (pdf)
Chapter 1 Overview
1-1         Analytic Trigonometry  
1-2         The Unit Circle and Special Triangles
1-3         Calculator Use         
1-4         Vectors 
Analytic Trigonometry Practice Test 
Analytic Trigonometry Answer Key   

Chapter 2:         Parent Trigonometric Functions
(pdf)
Chapter 2 Overview: Types and Traits of Parent Trigonometric Functions  
2-1:         Graphing Trigonometric Functions by Calculator  
2-2:         Solving Sinusoidal Equations     
2-3:         Mathematical Modeling with Sinusoidals 
2-4:         Reciprocal and Quotient Curves   
Parent Trigonometric Functions Practice Test
Parent Trigonometric Functions Homework Answer Key   

Chapter 3:         Trigonometric Identities (pdf)
Chapter 3 Overview
3-1         Quotient, Reciprocal, and Pythagorean Identities
3-2         Composite Argument and Even/Odd Rules 
3-3         Double Angle Rules  
3-4         Half Angle Rules  
3-5         Solving Equations with Identities and Algebra  
Trigonometric Identities Practice Test       
Trigonometric Identities Answer Key 


Chapter 4:         PreCalculus Basics (pdf)
Chapter 4 Overview                                                                                          
4-1:         Review of Linear Functions          
4-2:         Review of Quadratic Functions   
4-3:         Finding Complete Graphs of Polynomials     
4-4:         Optimization by Calculator        
4-5:         Zeros of Higher Order Polynomials by Synthetic Substitution     
4-6:         Sign Patterns 
PreCalculus Basics Practice Test       
PreCalculus Basics Answer Key  

Chapter 5:         
Limits and Derivatives (pdf)  
Chapter 5 Overview: Polynomial Functions                                       
5-1:   The Indeterminate Forms and Limits                                         
5-2:   Slope of a Tangent Line                                                         
5-3:   The Power Rule                                                                    
5-4:   Local Linearity and Approximations                                        
5-5:   Rectilinear Motion              
5-6:   Parametric Motion

Limits and Derivatives Practice Test   
Limits and Derivatives Answer Key    

Chapter 6:         
Polynomial Functions (pdf)                   
Chapter 6 Overview:  Non-Graphical Applications of the Derivative     
6-1:      Critical Values and Extremes of a Polynomial Function                                                         
6-2:     Interpreting the Sign Pattern of the First Derivative                                                             
6-3:     Optimization Problems              
6-4:     General Polynomial Sketching                                                 
6-5:     Multiple Sign Patterns                                                            
Polynomials Practice Test                                                  
Polynomials Answer Key   

Chapter 7:         Rational Functions (pdf)                                                                  
Chapter 7 Overview: Types and Traits of Rational Functions 
7-1:         Zeros, Vertical Asymptotes, and POEs 

7-2:   Sign Patterns and Rational Functions                                     
7-3:   End Behavior: Horizontal Asymptotes                         
7-4:   End Behavior: Slant Asymptotes                                           
7-5:   Derivatives: The Quotient Rule                                             
7-6:   General Rational Curve Sketching                                         
7-7:   Sign Pattern of the Derivative of a Rational Function
Rational Functions Practice Test    
Rational Functions Answer Key 

Chapter 8:         Radical Functions (pdf)
Chapter 8 Overview: Types and Traits of Radical Functions 
8-1:         Zeros and Domain   
8-2:         The Chain Rule    
8-3:         Extreme Points of Radical Functions 
8-4:         General Radical Curve Sketching  
8-5:         Implicit Differentiation     
8-6:         Related Rates          
Radical Functions Practice Test        
Radical Functions Answer Key      

Chapter 9:         Piece-wise Defined Functions (pdf)
Chapter 6 Overview: Continuity and Piece-wise Defined Functions
9-1:         One-Sided Limits    
9-2:         Continuity and Discontinuity
9-3:         Differentiability and Smoothness
9-4:         Sketching Piece-wise Defined Functions 
Piece-wise Defined Functions Practice Test  
Piece-wise Defined Functions Answer Key 

Chapter 10:         Exponential and Logarithmic Functions (pdf)
Chapter 10 Overview: Types and Traits of Exponential and Logarithmic Functions          
10-1:         Review of Exponential and Logarithmic Operations
10-2:         Financial Applications  
10-3:         Zeros, VAs and Domains of Exponential and Logrithmic Functions
10-4:         Limit and Derivative Rules 
10-5:         The Product Rule  
10-6:        
Limits and L’Hopital’s Rule

10-7:         Limits, End Behavior, and Combination Functions
10-8:         Exponential and Product Curve Sketching  
10-9:         Logarithmic Curve Sketching
Exponential and Logarithmic Functions Practice Test 
Exponential and Logarithmic Functions Answer Key  

Chapter 11:         General Trigonometric Functions (pdf)
Chapter 11 Overview: Types and Traits of General Trigonometric Functions
11-1:         Review of Parent trigonometric Functions
11-2:         Trigonometric Derivatives and the Chain Rule  
11-3:         The Product and Quotient Rules Revisited  
11-4:         Inverse Trigonometric Functions and Their Derivatives  
11-5:         General Trigonometric Curve Sketching  
General Trigonometric Functions Practice Test    
General Trigonometric Functions Answer Key 

Chapter 12:         The Second Derivative (pdf)
Chapter 12 Overview 
12-1:         Second Derivatives
12-2:         Concavity and Points of Inflection
12-3:         Advanced Curve Sketching  
12-4:         Traits of a Function from Its Derivative  
The Second Derivative Practice Test       
The Second Derivative Answer Key         

Chapter 13:         Integrals (pdf)
Chapter 13 Overview: The Integral
13-1:         Anti-Derivatives: The Power Rule   
13-2:         Integration by Substitution: The Chain Rule  
13-3:         Anti-Derivatives: The Transcendental Rules    
13-4:         Definite Integrals        
13-5:         Definite Integrals and Area  
Integrals Practice Test  
Integrals Answer Key

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