Math 282 SPRING 2006, List of lectures

On this page I will post content of all lectures with reference to the book. All handouts also will be posted here.

Monday, April 3: Review of one dimensional integration.

Tuesday, April 4: Double integrals over rectangles. Section 16.1/15.1.

Wednesday, April 5: Iterated integrals and Fubini's Theorem. Section 16.2/15.2. Homework!

Friday, April 7: Integrals over arbitrary regions. Regions of type I and II. Section 16.3/15.3.

Monday, April 10: Examples of calculation of double integrals. Section 16.3/15.3. We will have QUIZ on Friday!

Tuesday, April 11: More examples of double integrals. Change of the order of ontegration. Properties of double integrals. Section 16.3/15.3.

Wednesday, April 12: Double integrals in polar coordinates. Section 16.4/15.4. New homework!

Friday, April 14: Examples for double integrals in polar coordinates. Section 16.4/15.4. We had quiz1 today; here are the solutions.

Monday, April 17: Applications of double integrals: center of mass and moments of inertia. Section 16.5/15.5. We will have QUIZ on Friday!

Tuesday, April 18: Surface Area. Section 16.6/15.6.

Wednesday, April 19: Triple integrals. Section 16.7/15.7. New homework!

Friday, April 21: Applications of triple integrals. Section 16.7/15.7. We had quiz2 today; here are the solutions.

Monday, April 24: Cylindrical coordinates. Section 16.8/15.8. We will have MIDTERM next Monday!!!

Tuesday, April 25: Spherical coordinates. Section 16.8/15.8.

Wednesday, April 26: Change of variables. Section 16.9/15.9. New homework!

Friday, April 28: Change of variables: examples. Section 16.9/15.9.

Monday, May 1: We had Midterm I today; here are the solutions.

Tuesday, May 2: Change of variables in triple integrals. Section 16.9/15.9.

Wednesday, May 3: Examples for change of variables in triple integrals. Vector fields. Sections 16.9/15.9, 17.1/16.1. New homework!

Friday, May 5: More on vector fields. Line integrals with respect to arc length. Sections 17.1/16.1-17.2/16.2.

Monday, May 8: Line integrals with respect to x and y. Section 17.2/16.2. We will have QUIZ on Friday!

Tuesday, May 9: Line integrals in 3 dimensions. Section 17.2/16.2.

Wednesday, May 10: Physical interpretations of line integrals. Fundamental Theorem for line integrals. Sections 17.2/16.2-17.3/16.3. New homework!

Friday, May 12: When integral does not depend on the path. Section 17.3/16.3. We had quiz3 today; here are the solutions.

Monday, May 15: Criterion for a vector field to be conservative. Section 17.3/16.3.

Tuesday, May 16: How to find a potential of a conservative vector field. Section 17.3/16.3.

Wednesday, May 17: Green's Theorem. Section 17.4/16.4. New homework!

Friday, May 19: Curl and divergence. Section 17.5/16.5. We will have MIDTERM on Wednesday, May 31!!!

Monday, May 22: Parametric Surfaces. Section 17.6/16.6.

Tuesday, May 23: Tangent planes and surface area for parametric surfaces. Section 17.6/16.6.

Wednesday, May 24: Surface integrals. Section 17.7/16.7. New homework!

Friday, May 26: Examples of computation of surface integrals. Section 17.7/16.7.

Tuesday, May 30: Flux of a vector field through oriented surface. Section 17.7/16.7.

Wednesday, May 31: We had Midterm II today; here are the solutions.

Friday, June 2: Examples of computation of the flux. Section 17.7/16.7. Last homework!

Monday, June 5: Stokes' Theorem. Section 17.8/16.8.

Tuesday, June 6: Divergence Theorem. Section 17.9/16.9.

Wednesday, June 7: Review, part I. Chapter 16/15.

Friday, June 9: Review, part II. Chapter 17/16.

Practice Exam is available now! And here are the answers!

THE END.