Calculus 2 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 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 Figures
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.
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