Pre-Calculus with Trigonometry Book Cover

## Pre-Calculus with Trigonometry (Second Edition)

### TEACHER RESOURCES

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 Opening 1.OP Chapter Opening Section 1.1 1.1.1 Finding Functions Using View Tubes 1.1.2 Transformations of Parent Graphs 1.1.3 Basic Inverses and Function Operations 1.1.4 Transformations of Arbitrary Graphs Section 1.2 1.2.1 Programming Introduction and Point-Slope Form of a Line 1.2.2 Programming Formulas and Experiments Section 1.3 1.3.1 Solving Non-Right Triangles 1.3.2 Solving Non-Right Triangles, Continued Section 1.4 1.4.1 Radian as a Unit of Measure 1.4.2 Radians in the Unit Circle Closure 1.CL Chapter Closure

Chapter 2: Finding the Area Under a Curve
 Opening 2.OP Chapter Opening Section 2.1 2.1.1 Piecewise Functions and an Intuitive Idea of Continuity 2.1.2 Shifting Functions and Periodicity Section 2.2 2.2.1 Summation and Sigma Notation 2.2.2 Programming a Sum Section 2.3 2.3.1 Area Under a Curve: Part I 2.3.2 Area Under a Curve: Part II 2.3.3 Area Under a Curve: Part III 2.3.4 Shifting Area 2.3.5 Trapping Area with Trapezoids 2.3.6 Going All to Pieces: Writing an Area Program 2.3.7 Area as a Function 2.3.8 Rocket Launch Closure 2.CL Chapter Closure

Chapter 3: Exponentials and Logarithms
 Opening 3.OP Chapter Opening Section 3.1 3.1.1 Horizontal and Vertical Stretches 3.1.2 Applications of Exponential Functions 3.1.3 Stretching Exponential Functions Section 3.2 3.2.1 Inverses 3.2.2 Logs as Inverse Exponentials 3.2.3 Graphing Log Functions Section 3.3 3.3.1 Working Within the Law 3.3.2 Solving Exponential Functions and Finding Logs with Bases Other Than Ten Closure 3.CL Chapter Closure

Chapter 4: Circular Functions
 Opening 4.OP Chapter Opening Section 4.1 4.1.1 Special Angles in the Unit Circle 4.1.2 Sine and Cosine in the Unit Circle 4.1.3 Graphs of Sine and Cosine 4.1.4 Shifts of Sine and Cosine Section 4.2 4.2.1 Reciprocal Trig Functions and Pythagorean Identities 4.2.2 Simplifying Trig Expressions 4.2.3 Frequency of Sine and Cosine Graphs 4.2.4 Working With Trig Identities Section 4.3 4.3.1 Applications of Trig Functions 4.3.2 Sine Here and Have Your Parents Cosine Closure 4.CL Chapter Closure

Chapter 5: Introduction to Limits
 Opening 5.OP Chapter Opening Section 5.1 5.1.1 View Tube With a Twist 5.1.2 Simplifying Rational Functions and Identifying Them as Shifts 5.1.3 Graphing Reciprocals of Functions Section 5.2 5.2.1 Introduction to Limits 5.2.2 A Different Approach to Limits 5.2.3 Working With One-Sided Limits 5.2.4 More on Limits 5.2.5 Piecewise Functions and Limits Closure 5.CL Chapter Closure

Chapter 6: Extending Periodic Functions
 Opening 6.OP Chapter Opening Section 6.1 6.1.1 Solving Trig Equations 6.1.2 Inverse Sine and Cosine: Solutions my Calculator Never Told Me 6.1.3 The Ambiguous Case of the Law of Sines 6.1.4 Graphs of Tangent and Inverse Tangent Section 6.2 6.2.1 Putting all of the Transformations Together 6.2.2 Angle Sum and Difference Formulas 6.2.3 Modeling With Periodic Functions Section 6.3 6.3.1 Double-Angle Formulas 6.3.2 Solving More Complex Trig Equations Section 6.4 6.4.1 The Spring Problem 6.4.2 Improving the Spring Problem Closure 6.CL Chapter Closure

Chapter 7: Algebra for College Mathematics: Problem Solving 101
 Opening 7.OP Chapter Opening Section 7.1 7.1.1 Describing Functions 7.1.2 Describing Functions, Continued Section 7.2 7.2.1 Setting up Word Problems 7.2.2 Make Your Life Easier by Decomposing Functions 7.2.3 Polynomial Division 7.2.4 Binomial Expansion From Pascal’s Triangle Section 7.3 7.3.1 Easy Ways to Add Special Series 7.3.2 Geometric Series 7.3.3 Binomial Probabilities Closure 7.CL Chapter Closure

Chapter 8: More on Limits
 Opening 8.OP Chapter Opening Section 8.1 8.1.1 A Race to Infinity 8.1.2 Limit of Rational Functions 8.1.3 Surprising Rational Functions 8.1.4 Putting the Squeeze on π Section 8.2 8.2.1 The Number e 8.2.2 Applications of e 8.2.3 Infinite Geometric Series 8.2.4 The Sum of the Harmonic Series 8.2.5 The Fibonacci Sequence 8.2.6 Proof by Induction Closure 8.CL Chapter Closure

Chapter 9: Rates of Change
 Opening 9.OP Chapter Opening Section 9.1 9.1.1 Rates of Change From Data 9.1.2 More Rates of Change From Data 9.1.3 Slopes and Rates of Change 9.1.4 Average Velocity and Rates of Change Section 9.2 9.2.1 Moving From AROC to IROC 9.2.2 Secant and Tangent Lines Closure 9.CL Chapter Closure

Chapter 10: Vectors and Parametric Equations
 Opening 10.OP Chapter Opening Section 10.1 10.1.1 An Introduction to Vectors 10.1.2 Working with Vectors 10.1.3 Applications of Vectors 10.1.4 The Dot Product Section 10.2 10.2.1 Introduction to Parametric Equations 10.2.2 Graphing Parametric Equations Using a Calculator 10.2.3 Applications of Parametric Equations Closure 10.CL Chapter Closure

Chapter 11: Polar Equations and Complex Numbers
 Opening 11.OP Chapter Opening Section 11.1 11.1.1 Plotting Polar Coordinates by Hand 11.1.2 Graphs of Polar Equations 11.1.3 Rotating Polar Curves 11.1.4 A Polar Exploration Section 11.2 11.2.1 Using the Complex Plane 11.2.2 Powers and Roots of Complex Numbers Closure 11.CL Chapter Closure

Chapter 12: Linear Transformations: Applications of Matrices
 Opening 12.OP Chapter Opening Section 12.1 12.1.1 Basic Operations Using Matrices 12.1.2 Using Matrix Equations to Solve Systems 12.1.3 Applications of Matrices Section 12.2 12.2.1 Using Matrices to Complete Linear Transformations 12.2.2 Composition of Transformations 12.2.3 Properties of Transformations Closure 12.CL Chapter Closure

Chapter 13: Conic Sections: Readiness for College Math Text
 Opening 13.OP Chapter Opening Section 13.1 13.1.1 Circles 13.1.2 Ellipses 13.1.3 Hyperbolas 13.1.4 Parabolas Section 13.2 13.2.1 Second-Degree Equations Closure 13.CL Chapter Closure

Glossary
Index

### RESOURCE PAGES

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Chapter 2: Finding the Area Under a Curve
Chapter 3: Exponentials and Logarithms
Chapter 4: Circular Functions
Chapter 5: Introduction to Limits
Chapter 6: Extending Periodic Functions
Chapter 7: Algebra for College Mathematics: Problem Solving 101
Chapter 8: More on Limits
Chapter 9: Rates of Change
Chapter 10: Vectors and Parametric Equations
Chapter 11: Polar Equations and Complex Numbers
Chapter 12: Linear Transformations: Applications of Matrices
Chapter 13: Conic Sections: Readiness for College Math Text

### Extra Problems

Extra Problems PDF

### Skillbuilders

Skill Builders Full Version PDF

### ETOOLS

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General eTools
Chapter 2: Finding the Area Under a Curve
Chapter 3: Exponentials and Logarithms
Chapter 4: Circular Functions
Chapter 5: Introduction to Limits
Chapter 6: Extending Periodic Functions
Chapter 7: Algebra for College Mathematics: Problem Solving 101
Chapter 8: More on Limits
Chapter 9: Rates of Change
Chapter 10: Vectors and Parametric Equations
Chapter 11: Polar Equations and Complex Numbers
Chapter 12: Linear Transformations: Applications of Matrices
Chapter 13: Conic Sections: Readiness for College Math Text

### SUPPORT MATERIALS

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