Calculus PPT PDF SLIDES

Calculus Class Notes 

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).


Files with Black and White Figures (or No Figures at All)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 5: Applications of Integrals.

• Section 5.4: Springs, Pumping, and Lifting. PDF. PS.
• Section 5.5: Fluid Forces. PDF. PS.
• Section 5.6: Moments and Centers of Mass. PDF. PS.

Chapter 6: Transcendental Functions and Differential Equations.

• Section 6.1: Logarithms. PDF. PS.
• Section 6.2: Exponential Functions. PDF. PS.
• Section 6.3: Derivatives of Inverse Trigonometric Functions; Integrals. PDF. PS.
• Section 6.4: First-Order Seperable Differential Equations. PDF. PS.
• Section 6.5: Linear First-Order Differential Equations. PDF. PS.
• Section 6.6: Euler's Method: Population Models. PDF. PS.
• Section 6.7: Hyperbolic Functions. PDF. PS.

Chapter 7: Integration Techniques, L'Hopital's Rule, and Improper Integrals.

• Section 7.1: Basic Integration Formulas. PDF. PS.
• Section 7.2: Integration by Parts. PDF. PS.
• Section 7.3: Partial Fractions. PDF. PS.
• Section 7.4: Trigonometric Substitution. PDF. PS.
• Section 7.5: Integral Tables, Computer Algebra Systems, and Monte Carlo Integration. PDF. PS.
• Section 7.6: L'Hopital's Rule. PDF. PS.
• Section 7.7: Improper Integrals. PDF. PS.

Chapter 8: Infinite Series.

• Section 8.1: Limits of Sequences of Numbers. PDF. PS.
• Section 8.2: Subsequences, Bounded Sequences, and Picard's Method. PDF. PS.
• Section 8.3: Infinite Series. PDF. PS.
• Section 8.4: Series of Nonnegative Terms. PDF. PS.
• Section 8.5: Alternating Series, Absolute and Conditional Convergence. PDF. PS.
• Section 8.6: Power Series. PDF. PS.
• Section 8.7: Taylor and Maclaurin Series. PDF. PS.
• Section 8.8: Applications of Power Series. PDF. PS.
• Section 8.9: Fourier Series. PDF. PS.
• Section 8.10: Fourier Cosine and Sine Series. PDF. PS.

Files with Color FiguresChapter 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.

Chapter 5: Applications of Integrals.

• Section 5.5: Fluid Forces. PDF. PS.
• Section 5.6: Moments and Centers of Mass. PDF. PS.

Chapter 6: Transcendental Functions and Differential Equations.

• Section 6.1: Logarithms. PDF. PS.
• Section 6.2: Exponential Functions. PDF. PS.
• Section 6.3: Derivatives of Inverse Trigonometric Functions; Integrals. PDF. PS.
• Section 6.5: Linear First-Order Differential Equations. PDF. PS.
• Section 6.6: Euler's Method: Population Models. PDF. PS.
• Section 6.7: Hyperbolic Functions. PDF. PS.

Chapter 7: Integration Techniques, L'Hopital's Rule, and Improper Integrals.

• Section 7.2: Integration by Parts. PDF. PS.
• Section 7.5: Integral Tables, Computer Algebra Systems, and Monte Carlo Integration. PDF. PS.
• Section 7.7: Improper Integrals. PDF. PS.

Chapter 8: Infinite Series.

• Section 8.1: Limits of Sequences of Numbers. PDF. PS.
• Section 8.2: Subsequences, Bounded Sequences, and Picard's Method. PDF. PS.
• Section 8.4: Series of Nonnegative Terms. PDF. PS.
• Section 8.5: Alternating Series, Absolute and Conditional Convergence. PDF. PS.
• Section 8.7: Taylor and Maclaurin Series. PDF. PS.
• Section 8.9: Fourier Series. PDF. PS.