Calculus & Analytic Geometry 4

Dr. TJ Murphy, University of Oklahoma, Fall 2004

Dr. Murphy's Office Hours Fall 2004 (PHSC 1115)

Thursdays, 1:30-2:50

also by scheduled appointment

extra credit due by 5 pm on Fri Dec 3.

Test 2 fix due by 5 pm on Wed Nov 3.

• syllabus (corrected August 23, 2004)

• homework list (last modified October 31)

• blue sheets (notes, last modified October 31); be sure to look through the supplemental graphics pages provided below. problems from the first day of class

• ivory sheets for Chapter 17

• instructions for problem write-ups; please include the original problem at the beginning of your write-up.

• Mathematica reference sheet and lab; introduction notebook by OU Physics Professor Kieran Mullen

• reading quizzes are at WebCT

• test sample solutions: The solutions provided here are from students in the class. These are not only correct solutions, but are meant to be examples of exemplary student work.
  • Test 1 and sample solutions

  • Test 2 and sample solutions

  • Test 3 and sample solutions

• old tests and sample solutions (list of PDF files, last updated September 17, 2004)

• Dr. Murphy's grading "rubric"

• advice from former students

• Library of Functions Review Sheet (PDF file by TJ Murphy)

• Trigonometry Review Sheet (PDF file by Alan Ludwig and TJ Murphy)

• Derivatives Review Sheet (PDF file by TJ Murphy)

Supplemental Graphics

Each of the HTML documents below is filled with graphics -- which might load slowly (just a warning). Each of the Mathematica notebooks below can be copy-and-pasted into a new Mathematica notebook -- use Select All under the Edit menu above, then use Copy under the Edit, open an empty Mathematica document and use the Paste option under the Edit menu in Mathematica, and click "yes" when Mathematica asks if you want the text converted to a notebook

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Go to: Dr. TJ Murphy's WebSite

Stewart, 5th Edition	Title	Description	Notes
15.1	A Surface and Construction of a Contour Diagram by TJ Murphy with adaptations from work by Brad Kline at USAFA at Paul Goodey at OU	Shows traces and then animates the contruction of a contour diagram from the horizontal traces of a surface. (HTML) (Mathematica notebook)	Lots of groovy contour diagrams are at HubCAPS: under "upper air" look for geopotential height at various constant pressures.
15.4	Construction of a Tangent Plane by TJ Murphy	Shows sequentially the construction of a tangent plane to a surface at a point. (HTML) (Mathematica notebook)
15.6	Directional Derivatives and The Gradient Vector by TJ Murphy	Offers an intuition about directional derivatives and the gradient vector.
15.8	The Geometry of Lagrange Multipliers by Michael Hofer (University of Graz) and TJ Murphy	Shows the geometry of using Lagrange multipliers to optimize a surface subject to one constraint. (HTML) (Mathematica notebook)
16.1, 16.2	Double Integrals by TJ Murphy	Animates the process of approximating the volume under a surface using a double Riemann sum and calculating the volume exactly using an iterated double integral. (HTML) (Mathematica notebook)	shows the graphics corresponding to an exercise in Stewart's {\it Calculus} (3rd Ed., 1995, Section 13.1, p.837, #4); approximates the volume under a surface using a double Riemann sum, then calculates the volume exactly using an iterated double integral.
16.6	Surface Area by TJ Murphy	Shows the parallelograms that are used to approximate the area of a surface and discusses the derivation of the surface area integral from these parallelograms. (HTML) (Mathematica notebook)
	Parametric Surfaces: Their Tangent Planes and Surface Areas by TJ Murphy	Shows a variety of surfaces defined parametrically; shows the calculations for equation for one tangent plane and the calculations for surface area for two surfaces. (HTML) (Mathematica notebook)