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 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." Videos for these sections are online at the Online Calculus 1 Videos webpage. Solutions to some exercises from the text book are online at the Online Calculus 1 Solutions to Various Exercises webpage.

Appendices.

• Appendix A.1. Real Numbers and the Real Line. Appendix A.1 notes
• Supplement. Examples, Exercises, and Proofs from Section A.1. Beamer file of Appendix A.1 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section A.1. Print file of Appendix A.1 Proofs, Examples, and Exercises
• Appendix A.2. Mathematical Induction. Appendix A.2 notes
• Supplement. Examples, Exercises, and Proofs from Section A.2. Beamer file of Appendix A.1 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section A.2. Print file of Appendix A.2 Proofs, Examples, and Exercises
• Appendix A.3. Lines Circles and Parabolas.
• Appendix A.4. Proofs of Limit Theorems. Appendix A.4 notes
• Supplement. Examples, Exercises, and Proofs from Section A.4. Beamer file of Appendix A.4 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section A.4. Print file of Appendix A.4 Proofs, Examples, and Exercises
• Appendix A.5. Commonly Occurring Limits.
• Appendix A.6. Theory of the Real Numbers. Appendix A.6 notes
• Study Guide A

Chapter 1: Functions.

• Section 1.1: Functions and Their Graphs. Section 1.1 notes
• Supplement. Examples, Exercises, and Proofs from Section 1.1. Beamer file of Section 1.1 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 1.1. Print file of Section 1.1 Proofs, Examples, and Exercises
• Section 1.2: Combining Functions; Shifting and Scaling Graphs.
• Section 1.3: Trigonometric Functions. Section 1.3 notes
• Supplement. Examples, Exercises, and Proofs from Section 1.3. Beamer file of Section 1.3 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 1.3. Print file of Section 1.3 Proofs, Examples, and Exercises
• Section 1.4: Graphing with Software.
• Section 1.5: Exponential Functions. Section 1.5 notes
• Supplement. Examples, Exercises, and Proofs from Section 1.5. Beamer file of Section 1.5 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 1.5. Print file of Section 1.5 Proofs, Examples, and Exercises
• Section 1.6: Inverse Functions and Logarithms. Section 1.6 notes
• Supplement. Examples, Exercises, and Proofs from Section 1.6. Beamer file of Section 1.6 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 1.6. Print file of Section 1.6 Proofs, Examples, and Exercises
• Study Guide 1

Chapter 2: Limits and Continuity.

• Section 2.1: Rates of Change and Tangents to Curves. Section 2.1 notes
• Supplement. Examples, Exercises, and Proofs from Section 2.1. Beamer file of Section 2.1 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.1. Print file of Section 2.1 Proofs, Examples, and Exercises
• Section 2.2: Limits of a Function and Limit Laws. Section 2.2 notes
• Supplement. Examples, Exercises, and Proofs from Section 2.2. Beamer file of Section 2.2 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.2. Print file of Section 2.2 Proofs, Examples, and Exercises
• Section 2.3: The Precise Definition of Limit. Section 2.3 notes
• Supplement. Examples, Exercises, and Proofs from Section 2.3. Beamer file of Section 2.3 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.3. Print file of Section 2.3 Proofs, Examples, and Exercises
• Section 2.4: One-Sided Limits. Section 2.4 notes
• Supplement. Examples, Exercises, and Proofs from Section 2.4. Beamer file of Section 2.4 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.4. Print file of Section 2.4 Proofs, Examples, and Exercises
• Section 2.5: Continuity. Section 2.5 notes
• Supplement. Examples, Exercises, and Proofs from Section 2.5. Beamer file of Section 2.5 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.5. Print file of Section 2.5 Proofs, Examples, and Exercises
• Section 2.6: Limits Involving Infinity; Asymptotes of Graphs. Section 2.6 notes
• Supplement. Examples, Exercises, and Proofs from Section 2.6. Beamer file of Section 2.6 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 2.6. Print file of Section 2.6 Proofs, Examples, and Exercises
• Study Guide 2

Chapter 3: Differentiation.

• Section 3.1: Tangents and the Derivative at a Point. Section 3.1 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.1. Beamer file of Section 3.1 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.1. Print file of Section 3.1 Proofs, Examples, and Exercises
• Section 3.2: The Derivative as a Function. Section 3.2 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.2. Beamer file of Section 3.2 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.2. Print file of Section 3.2 Proofs, Examples, and Exercises
• Section 3.3: Differentiation Rules. Section 3.3 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.3. Beamer file of Section 3.3 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.3. Print file of Section 3.3 Proofs, Examples, and Exercises
• Section 3.4: The Derivative as a Rate of Change. Section 3.4 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.4. Beamer file of Section 3.4 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.4. Print file of Section 3.4 Proofs, Examples, and Exercises
• Section 3.5: Derivatives of Trigonometric Functions. Section 3.5 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.5. Beamer file of Section 3.5 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.5. Print file of Section 3.5 Proofs, Examples, and Exercises
• Section 3.6: The Chain Rule. Section 3.6 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.6. Beamer file of Section 3.6 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.6. Print file of Section 3.6 Proofs, Examples, and Exercises
• Section 3.7: Implicit Differentiation. Section 3.7 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.7. Beamer file of Section 3.7 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.7. Print file of Section 3.7 Proofs, Examples, and Exercises
• Section 3.8: Derivatives of Inverse Functions and Logarithms. Section 3.8 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.8. Beamer file of Section 3.8 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.8. Print file of Section 3.8 Proofs, Examples, and Exercises
• Section 3.9: Inverse Trigonometric Functions. Section 3.9 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.9. Beamer file of Section 3.9 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.9. Print file of Section 3.9 Proofs, Examples, and Exercises
• Section 3.10: Related Rates. Section 3.10 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.10. Beamer file of Section 3.10 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.10. Print file of Section 3.10 Proofs, Examples, and Exercises
• Section 3.11: Linearization and Differentials. Section 3.11 notes
• Supplement. Examples, Exercises, and Proofs from Section 3.11. Beamer file of Section 3.11 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 3.11. Print file of Section 3.11 Proofs, Examples, and Exercises
• Study Guide 3

Chapter 4: Applications of Derivatives.

• Section 4.1: Extreme Values of Functions on Closed Intervals. Section 4.1 notes
• Supplement. Examples, Exercises, and Proofs from Section 4.1. Beamer file of Section 4.1 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.1. Print file of Section 4.1 Proofs, Examples, and Exercises
• Section 4.2: The Mean Value Theorem. Section 4.2 notes
• Supplement. Examples, Exercises, and Proofs from Section 4.2. Beamer file of Section 4.2 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.2. Print file of Section 4.2 Proofs, Examples, and Exercises
• Section 4.3: Monotone Functions and the First Derivative Test. Section 4.3 notes
• Supplement. Examples, Exercises, and Proofs from Section 4.3. Beamer file of Section 4.3 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.3. Print file of Section 4.3 Proofs, Examples, and Exercises
• Section 4.4: Concavity and Curve Sketching. Section 4.4 notes
• Supplement. Examples, Exercises, and Proofs from Section 4.4. Beamer file of Section 4.4 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.4. Print file of Section 4.4 Proofs, Examples, and Exercises
• Section 4.5: Indeterminate Forms and L'Hopital's Rule. Section 4.5 notes
• Supplement. Examples, Exercises, and Proofs from Section 4.5. Beamer file of Section 4.5 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.5. Print file of Section 4.5 Proofs, Examples, and Exercises
• Section 4.6: Applied Optimization. Section 4.6 notes
• Supplement. Examples, Exercises, and Proofs from Section 4.6. Beamer file of Section 4.6 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.6. Print file of Section 4.6 Proofs, Examples, and Exercises
• Section 4.7: Newton's Method. Section 4.7 notes
• Supplement. Examples, Exercises, and Proofs from Section 4.7. Beamer file of Section 4.7 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.7. Print file of Section 4.7 Proofs, Examples, and Exercises
• Section 4.8: Antiderivatives. Section 4.8 notes
• Supplement. Examples, Exercises, and Proofs from Section 4.8. Beamer file of Section 4.8 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 4.8. Print file of Section 4.8 Proofs, Examples, and Exercises
• Study Guide 4

Chapter 5: Integration.

• Section 5.1: Area and Estimating with Finite Sums. Section 5.1 notes
• Supplement. Examples, Exercises, and Proofs from Section 5.1. Beamer file of Section 5.1 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.1. Print file of Section 5.1 Proofs, Examples, and Exercises
• Section 5.2: Sigma Notation and Limits of Finite Sums. Section 5.2 notes
• Supplement. Examples, Exercises, and Proofs from Section 5.2. Beamer file of Section 5.2 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.2. Print file of Section 5.2 Proofs, Examples, and Exercises
• Section 5.3: The Definite Integral. Section 5.3 notes
• Supplement. Examples, Exercises, and Proofs from Section 5.3. Beamer file of Section 5.3 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.3. Print file of Section 5.3 Proofs, Examples, and Exercises
• Section 5.4: The Fundamental Theorem of Calculus. Section 5.4 notes
• Supplement. Examples, Exercises, and Proofs from Section 5.4. Beamer file of Section 5.4 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.4. Print file of Section 5.4 Proofs, Examples, and Exercises
• Section 5.5: Indefinite Integrals and the Substitution Method. Section 5.5 notes
• Supplement. Examples, Exercises, and Proofs from Section 5.5. Beamer file of Section 5.5 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.5. Print file of Section 5.5 Proofs, Examples, and Exercises
• Section 5.6: Substitution and Area Between Curves. Section 5.6 notes
• Supplement. Examples, Exercises, and Proofs from Section 5.6. Beamer file of Section 5.6 Proofs, Examples, and Exercises
• Supplement. Printouts of Examples, Exercises, and Proofs from Section 5.6. Print file of Section 5.6 Proofs, Examples, and Exercises
• Study Guide 5

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