Math 221: Calculus 3, Spring 2008

Dr. Brenton LeMesurier
lemesurierb "at" cofc.edu
4 Greenway room 103, phone 953-5917

Last revised March 17.

This page is for notes about current events and links to resources: things like notes on what I have just covered in class, topics and tests coming up, and upcoming assignments and their due dates.
For other information about this course see the section on course organization in the printed class notes, available as PDF below.

News and important dates coming up

Tuesday March 11

Notes available to Chapter 15, Section 7, Triple Integrals, and a list of All Homework Exercises from Chapters 12 to 15

Friday March 14

Classes cancelled, and so no homework due today

Monday March 17

Homework due today instead of last Friday

Monday March 17

There is now a A Test 2 Study Guide with Mock Test. The mock test 2 questions are taken from the end of chapter review sections for Chapters 14 and 15, so you need the textbook at hand to do them.
Note: this is in RTF format. It should be readable with any version of MS Word (unlike some documents from new versions of MS Word!) or any other word processor or with TextEdit on a Macintosh, but if you have trouble reading or printing it, let me know.

Wednesday March 19

Answers with a few hints for the Mock Test 2 Questions

Thursday March 20

Test 2, on Section 14.8 and Chapter 15

Friday April 11

Notes updated to Chapter 16, Section 6, Parametric Surfaces and Their Areas

Thursday April 17

Test 3

Wednesday April 30

Final Exam

Handouts

• Mock Test 2 and Brief Study Guide
• The course note handouts, so far covering to Section 15.7.
  • The whole thing so far, or in pieces:
  • Title Page.
  • Preface, page i.
  • Table of Contents, to Section 14.8 so far, page ii.
  • Organizational Details, like test dates, pages iv to vi.
  • Chapter 12. Vectors and the Geometry of Space, Sections 1 to 6, pages 1 to 14.
    • Chapter 12, Section 1. Three-Dimensional Coordinate Systems, pages 1 and 2.
    • Chapter 12, Section 2. Vectors, pages 3 to 5.
    • Chapter 12, Sections 3 and 4, The Dot Product (or Scalar Product) and The Cross Product (or Vector Product), pages 6 to 9 (was to p. 10 in original form.)
    • Chapter 12, Section 5. Equations of Lines and Planes, pages 11 and 12.
    • Chapter 12, Section 6. Cylinders and Quadric Surfaces, pages 13 and 14.
  • Chapter 13. Vectors Functions, all sections (1 to 4), pages 15 to 22.
    • Chapter 13, Section 1. Vector Functions and Space Curves, page 15.
    • Chapter 13, Section 2. Derivatives and Integrals of Vector Functions, pages 16 and 17.
    • Chapter 13, Section 3. Arc Length and Curvature, pages 18 to 20.
    • Chapter 13, Section 4. Motion in Space: Velocity and Acceleration, pages 21 and 22.
  • Chapter 14. Partial Derivatives.
    • Chapter 14, Section 1, Functions of Several Variables, pages 23 and 24.
    • Chapter 14, Section 2, Functions of Several Variables and Section 3, Partial Derivatives, pages 25-28.
    • Chapter 14, Section 4, Tangent Planes and Linear Approximations, pages 29-30.
    • Chapter 14, Section 5, The Chain Rule, pages 31-33.
    • Chapter 14, Section 6, Directional Derivatives and the Gradient Vector, pages 34-36.
    • Chapter 14, Section 7, Maximum and Minimum Values, pages 37-38.
    • Chapter 14, Section 8, Lagrange Multipliers and Constrained Optimization, pages 39-41.
  • Chapter 15. Multiple Intergrals.
    • Chapter 15, Section 1, Double Integrals over Rectangles, pages 42-44.
    • Chapter 15, Section 2, Integrated Integrals and Section 3, Double Integrals over General Regions. , pages 45-47. (Additional notes added.)
    • Chapter 15, Section 4, Double Integrals in Polar Coordinates. , pages 48-49.
    • Chapter 15, Section 6, Surface Area. , page 50.
    • Chapter 15, Section 7, Triple Integrals, pages 51-52.
    • Chapter 12(!), Section 7, Cylindrical and Spherical Coordinates, pages 53-54.
    • Chapter 15, Section 8, Integrals in Cylindrical and Spherical Coordinates, pages 55-56.
    • Chapter 15, Section 9
  • Chapter 16.
    • Chapter 16, Section 1 Line Integrals (a.k.a. Path Integrals)
    • Chapter 16, Section 2, The Fundamental Theorem for Line Integrals
    • Chapter 16, Section 3 (now complete)
    • Chapter 16, Section 4, Green's Theorem
    • Chapter 16, Section 5, Curl and Divergence
    • Chapter 16, Section 6, Parametric Surfaces and Their Areas
    • Chapter 16, Section 7, Surface Integrals coming soon
    • Chapter 16, Section 8, Stokes' Theorem coming soon
    • Chapter 16, Section 9, The Divergence Theorem coming soon
  • Appendix A, All Homework Exercises from Chapters 12 to 15.
• Or you can view the notes for any section in slideshow form.