Copies of the classnotes are on the internet in PDF format as given below. The "Examples, Exercises, and Proofs" files are PDF files prepared in Beamer and they contain worked examples and exercises (and a few proofs) which are not in the regular classnotes. The "Printout of Examples, Exercises, and Proofs" are printable PDF files of the Beamer slides condensed and without the pauses so that you can have a version that takes less paper to print than the regular "Examples, Exercises, and Proofs" files. Be WARNED that several of the graphs in the solutions were not created by a graphing utility but, as you yourself will do when working homework problems, "by hand."

The catalog description for Precalculus 1 (Algebra) is: "Functions and their graphs, including polynomial, rational, exponential and logarithmic functions." Precalculus 1 (Algebra) covers Chapters 1-5 of Sullivan's Precalculus 10th edition. The catalog description for Precalculus 2 (Trigonometry) "Trigonometric functions and their applications, analytic trigonometry, polar coordinates, and analytic geometry." Precalculus 2 (Trigonometry) covers Chapters 6-10 of Sullivan's Precalculus 10th edition. These descriptions are based on the ETSU 2019-20 Undergraduate Catalog.

Videos for these sections are online at the Online Precalculus 1 (Algebra) with Videos webpage. Solutions to some exercises from the text book are online at the Online Precalculus 1 (Algebra) Solutions to Various Exercises webpage.

1. Appendix A. Review.
2. Chapter 1. Graphs.
3. Chapter 2. Functions and Their Graphs.
4. Chapter 3. Linear and Quadratic Functions.
5. Chapter 4. Polynomial and Rational Functions.
6. Chapter 5. Exponential and Logarithmic Functions.
7. Additional Chapters.

Appendix A. Review.

• A.1. Algebra Essentials. Appendix A.1 notes
  • Supplement. Examples, Exercises, and Proofs from Section A.1. Beamer file of Appendix A.1 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section A.1. Print file of Appendix A.1 examples and proofs
• A.2. Geometry Essentials. Appendix A.2 notes
  • Supplement. Examples, Exercises, and Proofs from Section A.2. Beamer file of Appendix A.2 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section A.2. Print file of Appendix A.2 examples and proofs
• A.3. Polynomials. Appendix A.3 notes
  • Supplement. Examples, Exercises, and Proofs from Section A.3. Beamer file of Appendix A.3 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section A.3. Print file of Appendix A.3 examples and proofs
• A.4. Synthetic Division.
• A.5. Rational Expressions. Appendix A.5 notes
  • Supplement. Examples, Exercises, and Proofs from Section A.5. Beamer file of Appendix A.5 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section A.5. Print file of Appendix A.5 examples and proofs
• A.6. Solving Equations. Appendix A.6 notes
  • Supplement. Examples, Exercises, and Proofs from Section A.6. Beamer file of Appendix A.6 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section A.6. Print file of Appendix A.6 examples and proofs
• A.7. Complex Numbers; Quadratic Equations in the Complex Number System. Appendix A.7 notes
  • Supplement. Examples, Exercises, and Proofs from Section A.7. Beamer file of Appendix A.7 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section A.7. Print file of Appendix A.7 examples and proofs
• A.8. Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications.
• A.9. Interval Notation; Solving Inequalities. Appendix A.9 notes
  • Supplement. Examples, Exercises, and Proofs from Section A.9. Beamer file of Appendix A.9 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section A.9. Print file of Appendix A.9 examples and proofs
• A.10. nth Roots; Rational Exponents. Appendix A.10 notes
  • Supplement. Examples, Exercises, and Proofs from Section A.10. Beamer file of Appendix A.10 examples and proofs This appendix includes an example of an extraneous root (see Number 66).
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section A.10. Print file of Appendix A.10 examples and proofs
• Study Guide A.

Chapter 1. Graphs.

• 1.1. The Distance and Midpoint Formulas. Section 1.1 notes
  • Supplement. Examples, Exercises, and Proofs from Section 1.1. Beamer file of Section 1.1 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 1.1. Print file of Section 1.1 examples and proofs
• 1.2. Graphs of Equations in Two Variables; Intercepts; Symmetry. Section 1.2 notes
  • Supplement. Examples, Exercises, and Proofs from Section 1.2. Beamer file of Section 1.2 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 1.2. Print file of Section 1.2 examples and proofs
• 1.3. Lines. Section 1.3 notes
  • Supplement. Examples, Exercises, and Proofs from Section 1.3. Beamer file of Section 1.3 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 1.3. Print file of Section 1.3 examples and proofs
• 1.4. Circles. Section 1.4 notes
  • Supplement. Examples, Exercises, and Proofs from Section 1.4. Beamer file of Section 1.4 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 1.4. Print file of Section 1.4 examples and proofs
• Study Guide 1.

Chapter 2. Functions and Their Graphs.

• 2.1. Functions. Section 2.1 notes
  • Supplement. Examples, Exercises, and Proofs from Section 2.1. Beamer file of Section 2.1 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.1. Print file of Section 2.1 examples and proofs
• 2.2. The Graph of a Function. Section 2.2 notes
  • Supplement. Examples, Exercises, and Proofs from Section 2.2. Beamer file of Section 2.2 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.2. Print file of Section 2.2 examples and proofs
• 2.3. Properties of Functions. Section 2.3 notes
  • Supplement. Examples, Exercises, and Proofs from Section 2.3. Beamer file of Section 2.3 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.3. Print file of Section 2.3 examples and proofs
• 2.4. Library of Functions; Piecewise-defined Functions. Section 2.4 notes
  • Supplement. Examples, Exercises, and Proofs from Section 2.4. Beamer file of Section 2.4 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.4. Print file of Section 2.4 examples and proofs
• 2.5. Graphing Techniques: Transformations. Section 2.5 notes
  • Supplement. Examples, Exercises, and Proofs from Section 2.5. Beamer file of Section 2.5 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.5. Print file of Section 2.5 examples and proofs
• 2.6. Mathematical Models: Building Functions. Section 2.6 notes
  • Supplement. Examples, Exercises, and Proofs from Section 2.6. Beamer file of Section 2.6 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.6. Print file of Section 2.6 examples and proofs
• Study Guide 2.

Chapter 3. Linear and Quadratic Functions.

• 3.1. Properties of Linear Functions and Linear Models. Section 3.1 notes
  • Supplement. Examples, Exercises, and Proofs from Section 3.1. Beamer file of Section 3.1 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.1. Print file of Section 3.1 examples and proofs
• 3.2. Building Linear Models from Data.
• 3.3. Quadratic Functions and Their Properties. Section 3.3 notes
  • Supplement. Examples, Exercises, and Proofs from Section 3.3. Beamer file of Section 3.3 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.3. Print file of Section 3.3 examples and proofs
• 3.4. Build Quadratic Models from Verbal Descriptions and from Data. Section 3.4 notes
  • Supplement. Examples, Exercises, and Proofs from Section 3.4. Beamer file of Section 3.4 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.4. Print file of Section 3.4 examples and proofs
• 3.5. Inequalities Involving Quadratic Functions. Section 3.5 notes
  • Supplement. Examples, Exercises, and Proofs from Section 3.5. Beamer file of Section 3.5 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.5. Print file of Section 3.5 examples and proofs
• Study Guide 3.

Chapter 4. Polynomial and Rational Functions.

• 4.1. Polynomial Functions and Models. Section 4.1 notes
  • Supplement. Examples, Exercises, and Proofs from Section 4.1. Beamer file of Section 4.1 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.1. Print file of Section 4.1 examples and proofs
• 4.2. Properties of Rational Functions. Section 4.2 notes
  • Supplement. Examples, Exercises, and Proofs from Section 4.2. Beamer file of Section 4.2 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.2. Print file of Section 4.2 examples and proofs
• 4.3. The Graph of a Rational Function. Section 4.3 notes
  • Supplement. Examples, Exercises, and Proofs from Section 4.3. Beamer file of Section 4.3 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.3. Print file of Section 4.3 examples and proofs
• 4.4. Polynomial and Rational Inequalities. Section 4.4 notes
  • Supplement. Examples, Exercises, and Proofs from Section 4.4. Beamer file of Section 4.4 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.4. Print file of Section 4.4 examples and proofs
• 4.5. The Real Zeros of a Polynomial Function. Section 4.5 notes
  • Supplement. Examples, Exercises, and Proofs from Section 4.5. Beamer file of Section 4.5 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.5. Print file of Section 4.5 examples and proofs
  • Supplement. Printouts of "Cubic Formula Problems" from Section 4.5. Print file of Section 4.5 "Cubic Formula Problems" solutions.
• 4.6. Complex Zeros; Fundamental Theorem of Algebra. Section 4.6 notes
  • Supplement. Examples, Exercises, and Proofs from Section 4.6. Beamer file of Section 4.6 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.6. Print file of Section 4.6 examples and proofs
• Study Guide 4.

Chapter 5. Exponential and Logarithmic Functions.

• 5.1. Composite Functions. Section 5.1 notes
  • Supplement. Examples, Exercises, and Proofs from Section 5.1. Beamer file of Section 5.1 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.1. Print file of Section 5.1 examples and proofs
• 5.2. One-to-One Functions; Inverse Functions. Section 5.2 notes
  • Supplement. Examples, Exercises, and Proofs from Section 5.2. Beamer file of Section 5.2 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.2. Print file of Section 5.2 examples and proofs
• 5.3. Exponential Functions. Section 5.3 notes
  • Supplement. Examples, Exercises, and Proofs from Section 5.3. Beamer file of Section 5.3 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.3. Print file of Section 5.3 examples and proofs
• 5.4. Logarithmic Functions. Section 5.4 notes
  • Supplement. Examples, Exercises, and Proofs from Section 5.4. Beamer file of Section 5.4 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.4. Print file of Section 5.4 examples and proofs
• 5.5. Properties of Logarithms. Section 5.5 notes
  • Supplement. Examples, Exercises, and Proofs from Section 5.5. Beamer file of Section 5.5 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.5. Print file of Section 5.5 examples and proofs
• 5.6. Logarithmic and Exponential Equations. Section 5.6 notes
  • Supplement. Examples, Exercises, and Proofs from Section 5.6. Beamer file of Section 5.6 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.6. Print file of Section 5.6 examples and proofs
• 5.7. Financial Models.
• 5.8. Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models. Section 5.8 notes
  • Supplement. Examples, Exercises, and Proofs from Section 5.8. Beamer file of Section 5.8 examples and proofs
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.8. Print file of Section 5.8 examples and proofs
• 5.9. Building Exponential, Logarithmic, and Logistic Models from Data.
• Study Guide 5.

Additional Chapters.

• Chapter 6. Trigonometric Functions.
• Chapter 7. Analytic Trigonometry.
• Chapter 8. Applications of Trigonometric Functions.
• Chapter 9. Polar Coordinates; Vectors.
• Chapter 10. Analytic Geometry.
• Chapter 11. Systems of Equations and Inequalities.
• Chapter 12. Sequences; Induction; the Binomial Theorem.
• Chapter 13. Counting and Probability.
• Chapter 14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function.
• Appendix B. Graphing Utilities.

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