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: Zeros of Higher Order Polynomials by Factoring
4-2: Review of Linear Functions
4-3: Review of Quadratic Functions
4-4: Finding Complete Graphs of Polynomials
4-5: Optimization by Calculator
4-6: Zeros of Higher Order Polynomials by Synthetic Substitution
4-7: 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: Limit and Derivative Rules
10-4: The Product Rule
10-5: Limits and L’Hopital’s Rule
10-6: Limits, End Behavior, and Combination Functions
10-7: Exponential and Product Curve Sketching
10-8: 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
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: Zeros of Higher Order Polynomials by Factoring
4-2: Review of Linear Functions
4-3: Review of Quadratic Functions
4-4: Finding Complete Graphs of Polynomials
4-5: Optimization by Calculator
4-6: Zeros of Higher Order Polynomials by Synthetic Substitution
4-7: 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: Limit and Derivative Rules
10-4: The Product Rule
10-5: Limits and L’Hopital’s Rule
10-6: Limits, End Behavior, and Combination Functions
10-7: Exponential and Product Curve Sketching
10-8: 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