Precalculus Class Notes
Copies of the classnotes are on the internet in PDF and Postscript
formats as given below.
Chapter 2: Functions and Their Graphs.
- Section 2.1: Functions.
PDF.
PS.
- Section 2.2: The Graph of a Function.
PDF.
PS.
- Section 2.3: Properties of Functions.
PDF.
PS.
- Section 2.4: Library of Functions; Piecewise-defined Functions.
PDF.
PS.
- Section 2.4: Graphing Techniques: Transformations.
PDF.
PS.
Chapter 3: Polynomial and Rational Functions.
- Section 3.1: Quadratic Functions and Models.
PDF.
PS.
- Section 3.2: Polynomial Functions.
PDF.
PS.
- Section 3.3: Rational Functons I.
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PS.
- Section 3.4: Rational Functions II: Analyzing Graphs.
PDF.
PS.
Chapter 4: Exponential and Logarithmic Functions.
- Section 4.1: Composite Functions.
PDF.
PS.
- Section 4.2: Inverse Functions.
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- Section 4.3: Exponential Functions.
PDF.
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- Section 4.4: Logarithmic Functions.
PDF.
PS.
- Section 4.5: Properties of Logarithms.
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- Section 4.6: Logarithmic and Exponential Functions.
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PS.
Chapter 5: Trigonometric Functions.
- Section 5.1: Angles and Their Measure.
Modeling.
PDF.
PS.
- Section 5.2: Trigonometric Functions: Unit Circle Approach.
PDF.
PS.
- Section 5.3: Properties of the Trigonometric Functions.
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- Section 5.4: Graphs of the Sine and Cosine Functions.
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- Section 5.5: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions.
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- Section 5.6: Phase Shift; Sinusoidal Curve Fitting.
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PS.
Chapter 6: Analytic Trigonometry.
- Section 6.1: The Inverse Since, Cosine, and Tangent Functions.
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PS.
- Section 6.2: The Inverse Trigonometric Functions (continued).
PDF.
PS.
- Section 6.3: Trigonometric Identities.
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- Section 6.4: Sum and Difference Formulas.
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- Section 6.5: Double-angle and Half-angle Formulas.
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- Section 6.6: Product-to-Sum and Sum-to-Product Formulas.
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- Section 6.7: Trigonometric Equations I.
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- Section 6.8: Trigonometric Equations II.
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Chapter 7: Applications of Trigonometric Functions.
- Section 7.1: Right Triangle Trigonometry; Applications.
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PS.
- Section 7.2: The Law of Sines.
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PS.
- Section 7.3: The Law of Cosines.
PDF.
PS.
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