Professor of Mathematics
Apr 11, 2008:
Test III is on Monday, April 14. Here is a sheet of formulae that will be included in the exam booklet. (No need to bring it to the test.)
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Homework Set 11 is available for downloading below. Due Tuesday, April 15.
Very important note: On Mondays, Wednesdays, and Fridays, we will be meeting from now on in a different classroom in the same building: 245 Dennison. We will meet there for the first time on Wednesday, January 23.
Free tutoring is available for Math 255 from Tau Beta Pi. Here is a flyer with details.
Mondays, Wednesdays, and Fridays 1:10 PM - 2 PM in 130 Dennison. Tuesdays 1:10 PM - 2 PM in 501 Dennison. Starting Wednesday, January 23, MWF meetings of this course will be moved to 245 Dennison.
| Week | Meeting | Date | In Class | Homework |
|---|---|---|---|---|
| Week 1 | Lecture 1 | Friday, January 4 | Welcome to Math 255. Chapter 11: Parametric Equations and Polar Coordinates. Section 11.1: Curves defined by parametric equations. Information sheet handout. | |
| Week 2 | Lecture 2 | Monday, January 7 | Section 11.2: Calculus with parametric curves. | |
| Lecture 3 | Tuesday, January 8 | Section 11.3: Polar coordinates. | ||
| Lecture 4 | Wednesday, January 9 | Section 11.4: Areas and lengths in polar coordinates. | ||
| Lecture 5 | Friday, January 11 | Chapter 13: Vectors and the Geometry of Space. Section 13.1: Three-dimensional coordinate systems. | ||
| Week 3 | Lecture 6 | Monday, January 14 | Section 13.2: Vectors. | |
| Computer Lab I Special Location: B745 East Hall |
Tuesday, January 15 | Parametric and polar curves with Maple. Read this worksheet and bring it to lab. | Homework Set 1 (11.1-11.4) Due | |
| Lecture 7 | Wednesday, January 16 | Section 13.3: The dot product. | ||
| Lecture 8 | Friday, January 18 | Section 13.4: The cross product. | ||
| Week 4 | Monday, January 21 | NO CLASS: Martin Luther King, Jr. Day | ||
| Lecture 9 | Tuesday, January 22 | Section 13.5: Equations of lines and planes. | Homework Set 2 (13.1-13.4) Due | |
| Lecture 10 From now on: MWF in 245 Dennison |
Wednesday, January 23 | Section 13.6: Cylinders and quadric surfaces. | ||
| Lecture 11 | Friday, January 25 | Section 13.7: Cylindrical and spherical coordinates. | ||
| Week 5 | Lecture 12 | Monday, January 28 | Chapter 14: Vector Functions. Section 14.1: Vector functions and space curves. | |
| Computer Lab II Special Location: B745 East Hall |
Tuesday, January 29 | Quadric surfaces and parametric space curves with Maple. Read this worksheet and bring it to lab. | Homework Set 3 (13.5-13.7) Due | |
| Lecture 13 | Wednesday, January 30 | Section 14.2: Derivatives and integrals of vector functions. | ||
| Lecture 14 | Friday, February 1 | Section 14.3: Arc length and curvature. | ||
| Week 6 | Lecture 15 | Monday, February 4 | Review | |
| Test I | Tuesday, February 5 | Exam covers Chapters 11 and 13. | Lecture 16 | Wednesday, February 6 | Section 14.4: Motion in space: velocity and acceleration. | Lecture 17 | Friday, February 8 | Chapter 15: Partial Derivatives. Section 15.1: Functions of several variables. | Homework Set 4 (13.6-13.7, 14.1-14.3) Due |
| Week 7 | Lecture 18 | Monday, February 11 | Section 15.2: Limits and continuity. | |
| Lecture 19 | Tuesday, February 12 | Section 15.3: Partial derivatives. | ||
| Lecture 20 | Wednesday, February 13 | Section 15.4: Tangent planes and linear approximations. | ||
| Lecture 21 | Friday, February 15 | Section 15.5: The chain rule. | Homework Set 5 (14.4, 15.1-15.2) Due | |
| Week 8 | Lecture 22 | Monday, February 18 | Section 15.6: Directional derivatives and the gradient vector. | |
| Lecture 23 | Tuesday, February 19 | Section 15.7: Maximum and minimum values. | ||
| Lecture 24 | Wednesday, February 20 | Section 15.8: Lagrange multipliers. | ||
| Lecture 25 | Friday, February 22 | Review | Homework Set 6 (15.3-15.5) Due | |
| Week 9 | NO CLASS: Winter Break | |||
| Week 10 | Lecture 26 | Monday, March 3 | Chapter 16: Multiple Integrals. Section 16.1: Double integrals over rectangles. | |
| Lecture 27 | Tuesday, March 4 | Section 16.2: Iterated integrals. | ||
| Lecture 28 | Wednesday, March 5 | Section 16.3: Double integrals over general regions. | ||
| Lecture 29 | Friday, March 7 | Section 16.4: Double integrals in polar coordinates. | Homework Set 7 (15.6-15.8) Due | |
| Week 11 | Lecture 30 | Monday, March 10 | Section 16.5: Applications of double integrals. | |
| Lecture 31 | Tuesday, March 11 | Section 16.6: Surface area. | ||
| Lecture 32 | Wednesday, March 12 | Section 16.7: Triple integrals. | ||
| Lecture 33 | Friday, March 14 | Review | ||
| Week 12 | Lecture 34 | Monday, March 17 | Section 16.8: Triple integrals in cylindrical and spherical coordinates. | |
| Test II | Tuesday, March 18 | Exam covers Chapters 14 and 15. | ||
| Lecture 35 | Wednesday, March 19 | Section 16.9: Change of variables in multiple integrals. | ||
| Lecture 36 | Friday, March 21 | Chapter 17: Vector Calculus. Section 17.1: Vector fields. | Homework Set 8 (16.1-16.7) Due | |
| Week 13 | Lecture 37 | Monday, March 24 | Section 17.2: Line integrals. | |
| Lecture 38 | Tuesday, March 25 | Section 17.3: The fundamental theorem for line integrals. | ||
| Lecture 39 | Wednesday, March 26 | Section 17.4: Green's theorem. | ||
| Lecture 40 | Friday, March 28 | Examples | ||
| Week 14 | Lecture 41 | Monday, March 31 | Section 17.5: Curl and divergence. | |
| Lecture 42 | Tuesday, April 1 | Section 17.6: Parametric surfaces and their areas. | Homework Set 9 (16.8-16.9, 17.1-17.2) Due | |
| Lecture 43 | Wednesday, April 2 | Section 17.7: Surface integrals. | ||
| Lecture 44 | Friday, April 4 | Section 17.8: Stokes' theorem. | ||
| Week 15 | Lecture 45 | Monday, April 7 | Examples | |
| Lecture 46 | Tuesday, April 8 | Section 17.9: The divergence theorem. | Homework Set 10 (17.3-17.6) Due | |
| Lecture 47 | Wednesday, April 9 | Examples | ||
| Lecture 48 | Friday, April 11 | Review | ||
| Week 16 | Test III | Monday, April 14 | Exam covers Chapters 16 and 17, through Section 17.6. | |
| Lecture 49 | Tuesday, April 15 | Review | Homework Set 11 (17.7-17.9) Due |