Math 282 SPRING 2005, 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, March 28: Double integrals over rectangles. Section 16.1/15.1.

Tuesday, March 29: The midpoint rule; the average value; properties of double integrals; iterated integrals, Fubini's theorem. Sections 16.1/15.1- 16.2/15.2.

Wednesday, March 30: Examples of calculation double integrals via iterated integrals. Section 16.2/15.2.

Friday, April 1: Review of one-dimensional integration. We will have QUIZ on Monday!

Monday, April 4: Double integrals over general regions. Section 16.3/15.3. We had quiz1 today; here are the solutions.

Tuesday, April 5: Examples of calculation of double integrals over regions of type I and II. Section 16.3/15.3.

Wednesday, April 6: Change of order of integration; properties of double integrals; double integrals in polar coordinates. Sections 16.3/15.3- 16.4/15.4. New homework!

Friday, April 8: Examples of calculation of double integrals in polar coordinates. Section 16.4/15.4.

Monday, April 11: Applications of double integrals: total mass, total charge, center of mass. Section 16.5/15.5.

Tuesday, April 12: Applications of double integrals: moments of inertia; examples. Section 16.5/15.5.

Wednesday, April 13: Applications of double integrals: probability. Section 16.5/15.5. New homework!

Friday, April 15: Surface area. Section 16.6/15.6. We had quiz2 today; here are the solutions.

Monday, April 18: Triple integrals. Section 16.7/15.7. We will have QUIZ on Friday!

Tuesday, April 19: Applications of triple integrals. Section 16.7/15.7.

Wednesday, April 20: Triple integrals in cylindrical and spherical coordinates. Section 16.8/15.8. We will have MIDTERM next Wednesday, April 27!!! New homework!

Friday, April 22: More on spherical coordinates; one-to-one transformations. Sections 16.8/15.8-16.9/15.9. We had quiz3 today; here are the solutions.

Monday, April 25: Change of variables. Section 16.9/15.9. We will have MIDTERM this Wednesday, April 27!!

Tuesday, April 26: Review for midterm. Sections 16.1-16.8.

Wednesday, April 27: We had Midterm I today; here are the solutions.

Friday, April 29: Change of variables for double integrals; Jacobian; examples. Section 16.9/15.9.

Monday, May 2: Change of variables for triple integrals. Vector fields. Section 16.9/15.9-17.1/16.1.

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

Wednesday, May 4: Line integrals. Section 17.2/16.2. New homework!

Friday, May 6: Physical interpretation of line integrals. Section 17.2/16.2.

Monday, May 9: The Fundamental Theorem for line integrals. Section 17.3/16.3. We will have QUIZ on Wednesday!!

Tuesday, May 10: How to determine whether a vector field is conservative. Section 17.3/16.3.

Wednesday, May 11: Green's Theorem for simple regions. Section 17.4/16.4. We had quiz4 today; here are the solutions. New homework!

Friday, May 13: More on Green's Theorem. Section 17.4/16.4.

Monday, May 16: Curl and Divergence. Section 17.5/16.5. We will have MIDTERM next Monday, May 23!!! There will be review on Friday.

Tuesday, May 17: Parametrized surfaces. Section 17.6/16.6.

Wednesday, May 18: Surface area. Section 17.6/16.6. New homework!

Friday, May 20: Review for Midterm. Sections 16.9/15.9-17.6/15.6. We will have MIDTERM Monday, May 23!!! There will be NO CLASS on Tuesday, May 24!

Monday, May 23: We had Midterm II today; here are the solutions.

Wednesday, May 25: Surface integrals. Section 17.7/16.7.

Friday, May 27: More on surface integrals. Section 17.7/16.7. Last homework (note that it is due on Friday!!). We will have EVALUATIONS next Wednesday!

Tuesday, May 31: The Stokes's Theorem. Section 17.8/16.8.

Wednesday, June 1: The Divergence Theorem. Section 17.9/16.9.

Practice Exam is here! And the answers are here. Please report any mistakes/misprints in answers; if you are the first who reported a mistake, you will get additional 2pts on the final!!