Calculus IV at OU Resource Page

Comments

• Supplemental Graphics

  Sequences of graphics (and a few animations) to supplement the textbook illustrations (which the authors believe are often too busy for students to decompose effectively). Instructors can use these pages for in-class demonstrations, to create overhead transparencies, or to download the Mathematica commands used to generate the graphics in order to customize examples.

• Introductions to Mathematica

  Short reference sheets and example-driven documents (all of which were written by OU faculty and graduate students).

• Sample Exams

  List of links to some instructors who have posted old exams on their websites.

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

Title	Description
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) (Mathematicanotebook)
Construction of a Tangent Plane by TJ Murphy	Shows sequentially the construction of a tangent plane to a surface at a point. (HTML) (Mathematicanotebook)
Directional Derivatives and The Gradient Vector by TJ Murphy	Offers an intuition about directional derivatives and the gradient vector.
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) (Mathematicanotebook)
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 (graphics correspond to an exercise in Stewart's Calculus (3rd Ed., 1995, Section 13.1, p.837, #4)). (HTML) (Mathematicanotebook)

Introductions to Mathematica

• MATHEMATICA in Calculus (by Andy Miller)

  Documents that discuss and illustrate (with specific examples) getting started with Mathematica and the commands (and options) for 2D plotting, plotting curves defined with parametric equations, Plot3D, drawing level curves, graphing parametrized surfaces, and graphing vector fields.

• Jon's Mathematica Info & Examples (by Jon White)

  Short reference sheet (can be printed to give as a handout) that lists tips for getting along with Mathematica and commands (with specific examples) for calculator functions, graph functions, calculus tasks, 3D graphing, options for 3D graphing, special graphical objects, and graphical representations of vector fields.

• TJM's Mathematica Reference Sheet

  Short reference sheet (can be printed to give as a handout) that lists general comments about Mathematica syntax and commands for arithmetic operations, algebraic computations, calculus computations, and graphing in 2D, 3D, and contour diagrams.

Sample Exams

• Dr. Noel Brady has three old midterm exams (as PDF files) on his page.

• Dr. Darryl McCullough has a sample exam from a previous semester available in HTML and PDF formats.

• Dr. Andy Miller's archive of calculus exams is still under construction.

• Jon White has a set of posted exams and other assignments with solution keys for several semesters.

Go to: The Department of Mathematics at the University of Oklahoma