The first team project explores some of the curves at the
famous curves
index. The teams and curves for this project will be
To the right is a MATHEMATICA output showing the osculating circles for the degree four polynomial y = x4 - 3x3 + x2 + 3x - 2. Both the osculating circles and the graph of the function are shown, the centers of these osculating circles form the `evolute of the curve'.
Here is a copy of the Final Exam.
The Final Exam will take place on Friday, May 11 at 8:00 AM in the usual classroom. The exam will cover Chapters 11, 13, and 14. A good starting to prepare for this exam would be to review the first and fourth class exams which covered portions of Chapters 11 and 13. (Also the previously posted Review Problems for the fourth exam, and for the first exam Old Exam 1 and Sample Exam 1.)
Homework 16 is due on Friday, 5/4.
Here are some Review Problems for the fourth exam [with brief answers]. Also try any of the Chapter 13 Review Exercises 1-11 and 15-25 on pages 881-882, and the True/False problems on page 881.
Here is the second Computer Lab Project which will be due on Wednesday, 4/11. Note that some of the numbers have been changed slightly from the class handout---this may help if you were having difficulty getting some of the MATHEMATICA computations to work out.
The first team project explores some of the curves at the
famous curves
index. The teams and curves for this project will be
(The chosen curve should satisfy that (1) it has either a polar or parametric equation description and (2) the description involves at least two distinct constants.) The animated display of the rhodonea curves shown at the right was produced by this Mathematica code.
On Monday, February 12 the class met in the Computer Lab and worked on Lab Project 1 using the examples in "Plotting a Parametric Curve with MATHEMATICA" as a model. For additional MATHEMATICA information you might examine the following web pages: Getting Started, Plotting Graphs of Single Variable Functions, Plotting Parametric Curves.
The third test took place on Friday, March 16. Here are some review problems we looked at during the review session. Here is a copy of the Infinite Series Review Sheet that accompanied the third test.
The second exam covering the first portion of Chapter 12
took place on Monday, March 5.
Here is the exam with answers and comments.
The third test will be on Friday,
March 16 and will cover Chapter 12.
Here is an old exam 2 which you can use as an aid in
preparating for the test, and another for which includes some answers.
Also, take a look at the True/False Quiz on page
822 (except for problems 10 and 13 which we haven't discussed yet) --we'll go over this on Friday.
The first midterm exam covered sections 11.1 through 11.4.
The course syllabus describes basic policies and goals for this course.
Study materials:
Previous Homework Assignments:
Math 2433, Spring 2007
http://math.ou.edu/~amiller/2433/index.html