Copies of the classnotes are on the internet in PDF and Postscript formats as given below. I have included versions with both color figures and black and white figures (the "black and white" files are roughly 1/3 the size of the "color" files).

Chapter 1: Limits and Continuity.

• Section 1-1: Rates of Change and Limits. PDF. PS.
• Section 1-2: Finding Limits and One-Sided Limits. PDF. PS.
• Section 1-3: Limits Involving Infinity. PDF. PS.
• Section 1-4: Continuity. PDF. PS.
• Section 1-5: Tangent Lines. PDF. PS.
• Study Guide. PDF. PS.

Chapter 2: Derivatives.

• Section 2-1: The Derivative as a Function. PDF. PS.
• Section 2-2: The Derivative as a Rate of Change. PDF. PS.
• Section 2-3: Derivatives of Products, Quotients, and Negative Powers. PDF. PS.
• Section 2-4: Derivatives of Trigonometric Functions. PDF. PS.
• Section 2-5: The Chain Rule and Parametric Equations. PDF. PS.
• Section 2-6: Implicit Differentiation. PDF. PS.
• Section 2-7: Related Rates. PDF. PS.
• Study Guide. PDF. PS.

Chapter 3: Applications of Derivatives.

• Section 3-1: Extreme Values of Functions. PDF. PS.
• Section 3-2: The Mean Value Theorem and Differential Equations. PDF. PS.
• Section 3-3: The Shape of a Graph. PDF. PS.
• Section 3-4: Graphical Solutions of Autonomous Differential Equations. PDF. PS.
• Section 3-5: Modeling and Optimization. PDF. PS.
• Section 3-6: Linearization and Differentials. PDF. PS.
• Section 3-7: Newton's Method. PDF. PS.
• Study Guide. PDF. PS.

Chapter 4: Integration.

• Section 4-1: Indefinite Integrals, Differential Equations and Modeling. PDF. PS.
• Section 4-2: Integral Rules; Integration by Substitution. PDF. PS.
• Section 4-3: Estimating with Finite Sums. PDF. PS.
• Section 4-4: Riemann Sums and Definite Integrals. PDF. PS.
• Section 4-5: The Mean Value and Fundamental Theorems. PDF. PS.
• Section 4-6: Substitution in Definite Integrals. PDF. PS.
• Section 4-7: Numerical Integration. PDF. PS.
• Study Guide. PDF. PS.

Chapter 5: Applications of Integrals.

• Section 5-1: Volumes by Slicing and Rotation About an Axis. PDF. PS.
• Section 5-2: Modeling Using Cylindrical Shells. PDF. PS.
• Section 5-3: Lengths of Plane Curves. PDF. PS.
• Study Guide. PDF. PS.

Chapter 1: Limits and Continuity.

• Section 1-1: Rates of Change and Limits. PDF. PS.
• Section 1-2: Finding Limits and One-Sided Limits. PDF. PS.
• Section 1-3: Limits Involving Infinity. PDF. PS.
• Section 1-4: Continuity. PDF. PS.
• Section 1-5: Tangent Lines. PDF. PS.

Chapter 3: Applications of Derivatives.

• Section 3-2: The Mean Value Theorem and Differential Equations. PDF. PS.
• Section 3-7: Newton's Method. PDF. PS.

Chapter 4: Integration.

• Section 4-4: Riemann Sums and Definite Integrals. PDF. PS.
• Section 4-5: The Mean Value and Fundamental Theorems. PDF. PS.
• Section 4-6: Substitution in Definite Integrals. PDF. PS.
• Section 4-7: Numerical Integration. PDF. PS.

Chapter 5: Applications of Integrals.

• Section 5-1: Volumes by Slicing and Rotation About an Axis. PDF. PS.
• Section 5-2: Modeling Using Cylindrical Shells. PDF. PS.
• Section 5-3: Lengths of Plane Curves. PDF. PS.

Additional notes presented in class are also available:

• A "Quick Guide" to the use of the TI-89 in Calculus 1. PDF. PS.

Return to Bob Gardner's home page