Autumn Term 2003

Courses taught in Autumn Term, 2003

Calculus I Arts
MAT- 103 02 Calculus I Science
MAT - NYA 02 Calculus I Science Enriched
MAT - NYA 21

New! If you wish to see your exam, these are the dates.

Exponential Growth (University of Illinois at Urbana-Champaign)
Exponential Functions: Tangents and Slopes.
The number e and its meaning (University of Toronto)
The number e to one million digits, computed by Robert Nemiroff (George Mason University and NASA Goddard Space Flight Center)
The number e - history
Lessons in basic Maple, as applied to Calculus I - North Carolina State University.

Proof of the Product Rule for Derivatives.
Trigonometric limits of 0/0 type; the derivative of sin x — proof of the Rule.
Practice examples on the most recent material: extrema, concavity, points of inflection: PDF file | ZIP file

Assignments
- Assignment 2 (.pdf document). Due: Friday, Sept.12.
  
  Solution to Assignment 2. at the College Library site.
  .PDF file. | .ZIP file.
- Assignment 3. Due Friday Sept. 19. | Solution to Assignment 3.
- Assignment 4.
- Assignment 5., for both sections.| Solution to Assignment 5 (PDF file)
- Assignment 6. for both sections.| Solution to Assignment 6. (PDF document)
- Assignment 7. | Error in Asgt.7! In Question 4 A, the derivative is missing a minus sign. The Second Derivative is correct.
  Solution to Asgt.7.
  Solution to Question 4: Curve Sketching using a Summary Table
  
  Solution to the rest of Asgt 7. [.pdf file]
Goodies
- If you own Maple: How to recapture the Maple Worksheet on which a webpage is based?
- Online 'Cal. I' course on the Waterloo Maple website (courtesy of University of Wisconsin-Milwaukee Department of Mathematics).
- Definitions of the Derivative; example worked out in Maple; a graphic animation showing the derivative function as moving tangents.
- Implicit Equations: Curves and Tangents
Examples
- A function may have two Horizontal Asymptotes: 2 examples showing tricky limits at infinity involving radicals.
- First Practice sheet on derivatives. (.pdf document.)
- Exponential Decay and Archeology – an amazing example. [Ref: Calculus with Analytic Geometry, by H. Flanders and J. Price, Academic Press, 1978, page 176.]
- New! Another Curve Sketching Example; using the Summary Chart [.PDF file]

Solution to Assignment 2. at the College Library site.: .PDF file. | .ZIP file.

Assignment 3. Due Friday Sept. 19. | Solution to Assignment 3.
Assignment 4.
Assignment 5., for both sections.| Solution to Assignment 5 (PDF file)
Solution to Assignment 6. (PDF document) | Pictures for Assignment 6, Enriched part.
Assignment 7. Error in Asgt.7! In Question 4 A, the derivative is missing a minus sign. The Second Derivative is correct.
Solution to Asgt.7.
Solution to Question 4: Curve Sketching using a Summary Table

Solution to the rest of Asgt 7. [.pdf file]

A function may have two Horizontal Asymptotes: 2 examples showing tricky limits at infinity involving radicals.
Definitions of the Derivative; example worked out in Maple; a graphic animation showing the derivative function as moving tangents.
First Practice sheet on derivatives. (.pdf document.)
Exponential Decay and Archeology – an amazing example. [Ref: Calculus with Analytic Geometry, by H. Flanders and J. Price, Academic Press, 1978, page 176.]
New! Another Curve Sketching Example; using the Summary Chart [.PDF file]

Newton's Method illustrated in Maple
Maple worksheets for the October 14 Lab:
The amazing Astroid -1 | The amazing Astroid -2| The natural exponential function and its derivative| Newton's Method
Implicit Equations: Curves and Tangents

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Last updated Thursday, December 18, 2003