Copies of the classnotes are on the internet in PDF format, as given below. These notes are based on the 12th, 14th, and 15th edition of Thomas' Calculus (which give very similar coverage of the Calculus 2 material), though the problem and example numbers refer to either the 12th or the 15th edition numbering scheme (this updating is a work in progress). The catalog description of Calculus 2 is: "Techniques of integration and applications of integration, inverse trigonometric functions, exponential and logarithmic functions, indeterminate forms and improper integrals, sequences, and series."

Chapter 6: Applications of Definite Integrals. Chapter 6 introduction

• Section 6.1: Volumes Using Cross-Sections. Section 6.1 notes
  • Supplement. Examples, Exercises, and Proofs from Section 6.1. Beamer file of Section 6.1 Proofs, Examples, and Exercises
  • Supplement. Printouts of Examples, Exercises, and Proofs from Section 6.1. Print file of Section 6.1 Proofs, Examples, and Exercises
• Section 6.2: Volumes Using Cylindrical Shells. Section 6.2 notes
• Section 6.4: Arc Length. Section 6.3 notes
• Section 6.4: Areas of Surfaces of Revolution. Section 6.4 notes
• Section 6.5: Work and Fluid Forces. Section 6.5 notes
• Section 6.6: Moments and Centers of Mass. Section 6.6 notes
• Study Guide 6

Chapter 7: Integrals and Transcendental Functions.

• Section 7.1: The Logarithm Defined as an Integral. Section 7.1 notes
• Section 7.2: Exponential Change and Separable Differential Equations. Section 7.2 notes
• Section 7.3: Hyperbolic Functions. Section 7.3 notes
• Section 7.4: Relative Rates of Growth. Section 7.4 notes
• Study Guide 7

Chapter 8: Techniques of Integration.

• Section 8.1: Integration by Parts. Section 8.1 notes
• Section 8.2: Trigonometric Integrals. Section 8.2 notes
• Section 8.3: Trigonometric Substitution. Section 8.3 notes
• Section 8.4: Integration of Rational Functions by Partial Fractions. Section 8.4 notes
• Section 8.5: Integral Tables and Computer Algebra Systems. Section 8.5 notes
• Section 8.6: Numerical Integration. Section 8.6 notes
• Section 8.7: Improper Integrals. Section 8.7 notes
• Study Guide 8

Chapter 9: First-Order Differential Equations.

• Section 9.1: Solutions, Slope Fields, and Euler's Method. Section 9.1 notes
• Section 9.2: First-Order Linear Equations. Section 9.2 notes
• Section 9.3: Applications. Section 9.3 notes
• Section 9.4: Graphical Solutions of Autonomous Differntial Equations. Section 9.4 notes
• Section 9.5: Systems of Equations and Phase Planes. Section 9.5 notes
• Study Guide 9

Chapter 10: Infinite Sequences and Series.

• Section 10.1: Sequences. Section 10.1 notes
• Section 10.2: Infinite Series. Section 10.2 notes
• Section 10.3: The Integral Test. Section 10.3 notes
• Section 10.4: Comparison Tests. Section 10.4 notes
• Section 10.5: The Ratio and Root Tests. Section 10.5 notes
• Section 10.6: Alternating Series, Absolute and Conditional Convergence. Section 10.6 notes
• Section 10.7: Power Series. Section 10.7 notes
• Section 10.8: Taylor and Maclaurin Series. Section 10.8 notes
• Section 10.9: Convergence of Taylor Series. Section 10.9 notes
• Section 10.10: The Binomial Series and Applications of Power Series. Section 10.10 notes
• Study Guide 10

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