Calculus 2 Class Notes

Copies of the classnotes are on the internet in PDF format, as given below. These notes are based on the 12th edition of Thomas' Calculus.

Chapter 6: Applications of Definite Integrals.

• Section 6.1: Volumes Using Cross-Sections. PDF.
• Section 6.2: Volumes Using Cylindrical Shells. PDF.
• Section 6.4: Arc Length. PDF.
• Section 6.4: Areas of Surfaces of Revolution. PDF.
• Section 6.5: Work and Fluid Forces. PDF.
• Section 6.6: Moments and Centers of Mass. PDF.
• Study Guide. PDF.

Chapter 7: Integrals and Transcendental Functions.

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

Chapter 8: Techniques of Integration.

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

Chapter 9: First-Order Differential Equations.

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

Chapter 10: Infinite Sequences and Series.

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