Exercises in Calculus
by Norman Dobson, edited by Thomas Gideon
(Thanks to Daniel Gatien for proofreading.)


These exercises were given by the late Norman Dobson under the title "Final Exam Problems." They are excellent problems in preparation for examinations. I have used them with students in the past and have found that industrious students improve their performance by doing these problems.

The files are available in portable document format (pdf) or in postscript (ps). If you have the Adobe Acrobat Reader, you can use it to view and print files in portable document format. The latest version of the Acrobat Reader is available for free here. Viewing and printing postscript files can be done with gv (for linux and friends), or GSview (for MS-Windows).

- Thomas Gideon

If you have difficulty printing the .pdf files, you may find this helpful.

Contents- Calculus 1 NYA

  1. Limits (ps, pdf)
  2. Continuity (ps, pdf)
  3. Definition of Derivative (ps, pdf)
  4. Differentiation (ps, pdf)
  5. Tangents and Normals (ps, pdf)
  6. Related Rates (ps, pdf)
  7. Higher Derivatives (ps, pdf)
  8. Curve Sketching (ps, pdf)
  9. Optimization (ps, pdf)
  10. Integration (ps, pdf)
  11. Differential Equations (ps, pdf)
  12. Area (ps, pdf)
  13. Various (ps, pdf)


Contents- Calculus 2  NYB

There are minor printing problems with the following files. If using the pdf files, print with the button in the Acrobat Reader. Some symbols (the integral sign, the sigma sign and some brackets) have their bottoms cut off.

  1. Integration (ps, pdf)
  2. Limits (ps, pdf)
  3. Volumes of Revolution (ps, pdf)
  4. Sequences, Geometric and Telescoping Series (ps, pdf)
  5. Positive Term Series (ps, pdf)
  6. Alternating Series (ps, pdf)