Korpi's notes online

All of the Chapter and section headings refer to the Heath publication of Calculus, by Larson, Hostetler, and Edwards, 5th edition.

The notes are in PDF format.  You will need the free Adobe PDF Reader to view the files.  You can download it HERE at no cost.

* Notes on Limits

*Notes on Derivatives

  2.1  Definitions of Derivative and Differentiability

  4.2  Sigma notation and Area of a Region in a Plane

  4.3  Riemann sums and Definite Integrals

  4.4 The Fundamental Theorem of Calculus

  Review 4.1-4.2

  4.4 continued:  The Mean Value Theorem for Integrals and the 2nd FTC

  4.5 Integration by pattern recognition and u-substitution

  4.6  Numeric Integration by the Trapezoidal Rule

  Review MVT Integrals, 2nd FTC, Integration by substitution, Trapezoidal Rule

  5.1 The Natural Log function, differentiation, and e

  5.2  Integration using Natural Logs

  5.3  Inverse Functions

  5.4  The Natural Exponential Function: Differentiating and Integrating

  5.5 Bases other than e.

  Review 5.1-5.5

  Summary of General Integration Techniques--A Must Read!!!

  6.1 Area between curves.  Also check here.

  6.2 Volumes of Solids of Revolution

          Disk and Washer Method.  Here are some models and graphics.

          Volumes by Known Cross Sections.  Java Applet: try it!

  6.3  Volumes by the Shell Method.  Here are some animations.

  Comparison: Disk/Washer OR Shell Method.  Try these general volume questions.

  Here is another site with more descriptions of each method.

  AP Review

          Here are some sample AP problems for you to try (with detailed solutions.)