Courses taught in Autumn Term, 2004

Calculus I Science MAT - NYA 03, NYA 06	Topics in Mathematics MAT- LCX 06

Calculus I, Science

Assignments

Link to my Geocities homepage for this semester's assignments and solutions

• Assignment 1. Solution to Assignment 1.
• Assignment 2.| Solution to Assignment 2.
• Assignment 3.
  • Solution to Assignment 3. (PDF file)
  • Solution in a Maple worksheet (If you own Maple: download this file, open it with Maple, click on Edit/Execute/Worksheet)
• Assignment 4. [PDF] |  Assignment 4 Solution [PDF]
•  Assignment 5.[PDF] | Solution to Assignment 5 (PDF file)
• Assignment 6. was handed out in class. | Solution to Assignment 6.[PDF]
• Assignment 7.(PDF file) | New! Solution to Asgt.7.
• Pretest Checklist for Test #2
• Assignment 8.[PDF]

• Solution to Asgt 8, Question 4 Curve Sketching using a Summary Table [PDF]

  Solution to the rest of of Asgt 8. [PDF] . Note: the titles of the posted solutions are obsolete but the content is not.

Goodies

• Useful information on your access to Maple 9.5, Student Version.
  (Copy of email message to me; look for the "Promotion Code" if you decide to order your copy.
  Note that the price quoted is $75US = $85CDN)
  
• Exponential Growth (University of Illinois at Urbana-Champaign)
Exponential Decay and Archeology – an amazing example. [Ref: Calculus with Analytic Geometry, by H. Flanders and J. Price, Academic Press, 1978, page 176.]

• 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 (link updated September 2004)
• Test link -ignore.
• Newton's Method illustrated in Maple.
• New! Differentials -Tangent line approximations, and other topics. Go to Page 4.[PDF, on the College Library site]
• Maple worksheets for the Computer Lab:
  The amazing Astroid -1 | The amazing Astroid -2| The natural exponential function and its derivative| Newton's Method
• Implicit Equations: Curves and Tangents

Notes

• Definitions of the Derivative; example worked out in Maple; a graphic animation showing the derivative function as moving tangents.
• Proof of the Product Rule for Derivatives.
• Trigonometric limits of 0/0 type; the derivative of sin x — proof of the Rule.
• Implicit Equations: Curves and Tangents

Maple stuff

• 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).

Examples

• A function may have two Horizontal Asymptotes: 2 examples showing tricky limits at infinity involving radicals.
• First Practice Sheet on derivatives. (.pdf document.)
• Second Practice sheet on derivatives. (.pdf document.)
• ------------------------------------------------------------------------
• Practice examples on: extrema, concavity, points of inflection: PDF file | ZIP
file
• Another Curve Sketching Example; using the Summary Chart [.PDF file]

Topics

• Assignments
  • Assignment 1. | Solution to Assignment 1.
    
  • Assignment 2. | Solution to Assignment 2.
  •  Assignment 3 - PDF file. | Asgt.3 - Text file| Solution to Assignment 3. (PDF file)
  • Assignment 4. | Solution to Assignment 4.
  • Assignment 5. | Solution to Assignment 5.
• New! Topics for Test #3

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