UMTYMP Calc II Spring 2005

Class Information

• The easiest way to reach me is always via email: rogness@math.umn.edu
• Checking this page is not a requirement for the class, but you might find it useful. We'll post the syllabus here, in case you can't find yours and need to know what the homework assignment is. We'll also put lots of interactive examples here.
• Calc II Spring 2005 Syllabus [pdf] (This is the final version)

Homework and Exams

• Exam 1 Review Guide: (This was assembled with paper and tape. Ask us for a copy.)
• Exam 1 Review Guide Answers
• Exam 2 Review Guide. You should also do this assignment from a different course.
• Exam 2 Review Guide Answers
• Exam 3 Review Guide Answers (Partial) (Ask us about any of the other questions.)
• Exam 4 Review Guide
• Exam 4 Review Guide Answers

• Exam 1 Answers [pdf]
• Exam 2 Answers [pdf]

Online Examples and Demonstrations

I'll try to post the various demonstrations and interactive examples from class on this page, as well as a few others you might find interesting. Links marked with a (*) are actually examples/demos from a different course here that I've also taught; I'm putting them here because I think they're useful and informative, but beware that the notation can be a little different.

Chapter 9

• Interactive Gallery of Quadric Surfaces
• Spherical Coordinates (*)

Chapter 10

• Particles in Motion: Parametric Curves with Velocity Vectors
• 2D Curvature Examples: parabola; cubic; quartic; cusp; all (large file)
• 3D Curvature Examples: helix; elliptical helix; tornado; exponential spiral; twisted cubic; all (large file)

Chapter 11

• Level Curves (*)
• Geometric Interpretation of Partial Derivatives
• McDonald's Example