Copies of the classnotes are on the internet in PDF and Postscript formats as given below. These notes are based on the 11th edition of Thomas' Calculus.

Chapter 6: Applications of Definite Integrals.

• Section 6.5: Areas of Surfaces of Revolution and the Theorems of Pappus. PDF. PS.
• Section 6.6: Work. PDF. PS.
• Section 6.7: Fluid Pressures and Forces. PDF. PS.

Chapter 7: Transcendental Functions.

• Section 7.1: Inverse Functions and Their Derivative. PDF. PS.
• Section 7.2: Natural Logarithms. PDF. PS.
• Section 7.3: The Exponential Function. PDF. PS.
• Section 7.4: a^x and log_a x. PDF. PS.
• Section 7.5: Exponential Growth and Decay. PDF. PS.
• Section 7.6: Relative Rates of Growth. PDF. PS.
• Section 7.7: Inverse Trigonometric Functions. PDF. PS.
• Section 7.8: Hyperbolic Functions. PDF. PS.

Chapter 8: Techniques of Integration.

• Section 8.1: Basic Integration Formulas. PDF. PS.
• Section 8.2: Integration by Parts. PDF. PS.
• Section 8.3: Integration of Rational Functions by Partial Fractions. PDF. PS.
• Section 8.4: Trigonometric Integrals. PDF. PS.
• Section 8.5: Trigonometric Substitution. PDF. PS.
• Section 8.6: Integral Tables and Computer Algebra Systems. PDF. PS.
• Section 8.7: Numerical Integration. PDF. PS.
• Section 8.8: Improper Integrals. PDF. PS.

Chapter 9: Further Applications of Integration.

• Section 9.1: Slope Fields and Separable Differential Equations. PDF. PS.
• Section 9.2: First-Order Linear Differential Equations. PDF. PS.
• Section 9.3: Euler's Method. PDF. PS.
• Section 9.4: Graphical Solutions of Autonomous Differntial Equations. PDF. PS.
• Section 9.5: Applications of First-Order Differential Equations. PDF. PS.

Chapter 11: Infinite Sequences and Series.

• Section 11.1: Sequences. PDF. PS.
• Section 11.2: Infinite Series. PDF. PS.
• Section 11.3: The Integral Test. PDF. PS.
• Section 11.4: Comparison Tests. PDF. PS.
• Section 11.5: The Ratio and Root Tests. PDF. PS.
• Section 11.6: Alternating Series, Absolute and Conditional Convergence. PDF. PS.
• Section 11.7: Power Series. PDF. PS.
• Section 11.8: Taylor and Maclaurin Series. PDF. PS.
• Section 11.9: Convergence of Taylor Series; Error Estimates. PDF. PS.
• Section 11.10: Applications of Power Series. PDF. PS.
• Section 11.11: Fourier Series. PDF. PS.

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