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
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.
Friday, April 21: Applications of triple integrals. Section 16.7/15.7.
We had quiz2 today; here are the
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.
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.
Wednesday, May 3: Examples for change of variables in triple integrals.
Vector fields. Sections 16.9/15.9, 17.1/16.1.
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.
Friday, May 12: When integral does not depend on the path.
Section 17.3/16.3. We had quiz3 today; here are the
Monday, May 15: Criterion for a vector field to be conservative.
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.
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.
Friday, May 26: Examples of computation of surface integrals.
Tuesday, May 30: Flux of a vector field through oriented surface.
Wednesday, May 31: We had Midterm II today;
here are the solutions.
Friday, June 2: Examples of computation of the flux.
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.
Exam is available now! And here are the