Lecture Schedule
- Mon 12/14: Final exam 10:30-12:30 in 411 Ell Hall.
- Wed 12/9: Review and evaluations.
While I will be out of town from Thursday-Sunday, I will be available by email. Also, there will be a review session by David Massey on Sunday 12/13, 1-4pm in 020 West Village F.
- Mon 12/7: 4.7. Stokes' Theorem continued, general review.
No office hours today. I will hold extra office hours Tuesday 10-12 instead.
- Thu 12/3: Quiz 8. 4.7. Stokes' Theorem.
Exercises: 4.7: #1, 2, 5, 6, 9, 10, 17.
Old final exams and solutions:
- Fall 2012 exam and solutions.
- Fall 2013 exam and solutions.
- Fall 2014 exam and solutions.
- Spring 2015 exam and solutions.
- Wed 12/2: 4.6. The Divergence Theorem.
Exercises: 4.6: #1-4, 6-11.
- Mon 11/30: 4.5. Flux through a surface.
Excercises: 4.5: #1, 2, 7, 9, 10, 11, 15, 19, 20.
Quiz 8 on Thursday will cover sections 4.4 and 4.5.
- Mon 11/23: 4.4. Green's Theorem.
Exercises: 4.4: #1, 3, 5, 7-9, 13, 15.
- Thu 11/19: Midterm 2 (in class)
- Wed 11/18: Review for Midterm
- Mon 11/16: 4.3. Conservative vector fields, continued.
Midterm 2 on Thursday 11/19 will cover sections 3.1-3.6, 3.8, 3.11 and 4.1-4.3.
- Thu 11/12: Quiz 7. 4.3. Conservative vector fields.
Exercises: 4.3: #1-3, 7-9, 15-17, 23, 24, 27, 33, 35, 41, 43.
- Wed 11/11: Veteran's Day: no classes.
- Mon 11/9: 4.1, 4.2. Line integrals.
Exercises: 4.2: #1-3, 7, 8, 15, 16, 18-20, 23, 25, 27.
- Thu 11/5: Quiz 6, 4.1. Vector fields.
Exercises: 4.1: #1, 3, 7, 8-14, 17, 18, 21, 22, 26-28.
- Wed 11/4: 3.11. Surfaces and area continued.
If time, 4.1. Vector fields.Exercises: 4.1: #1, 3, 7, 8-14, 17, 18, 21, 22, 26-28.Quiz 6 on Thursday will cover sections 3.5, 3.6, 3.8 and 3.11.
- Mon 11/2: 3.8, 3.11. Density and Mass, Surfaces and area.
Exercises: 3.8: #1, 2, 7-10,
3.11: #1-3, 9, 11-13, 15-17, 19-21 - Thu 10/29: Quiz 5
3.8. Density and Mass.3.6 continued.Exercises: 3.8: #1, 2, 7-10
- Wed 10/28: 3.5, 3.6. Volume, Cylindrical and spherical coordinates.
Exercises: 3.5: #1-3, 9-11, 17, 18,
3.6: #1-3, 7-9, 13-15, 19-21, 25-27, 31, 32, 35, 36.Quiz 5 will cover sections 3.1-3.4.
Office hours this week will be today from 12-1:30 instead of tomorrow.
- Mon 10/26: No class or office hours
- Thu 10/22: 3.3, 3.4. Polar coordinates, cont'd. Integration in R^3 and R^n.
Exercises: 3.4: #1, 3, 6, 7, 9, 11, 13, 14, 16-18, 20
- Wed 10/21: 3.2, 3.3. Integration in R^2, Polar coordinates.
Exercises: 3.2: #1-3, 6-8, 17, 18, 23, 24, 27-29, 31-33
3.3: #1-7, 17 - Mon 10/19: 3.1. Iterated integrals.
Exercises: 3.1: #1, 3, 4, 5, 9, 16, 17-24, 27, 28.
- Thu 10/15: Midterm 1 (in class).
- Wed 10/14: Review for Midterm.
Midterm topics: 1.2-1.8, 2.1, 2.3-2.5, 2.7-2.11.
- Mon 10/12: Columbus Day, no classes or office hours.
Extra office hours on Tuesday 10/13: 10:30-12.
- Thu 10/8: Quiz 4 2.11. Lagrange multipliers.
Exercises: 2.11: #1, 3, 12, 13, 15, 19, 23, 27, 29
- Wed 10/7:2.10. Global optimization.
Exercises: 2.10: #1, 2, 7, 8, 9, 10, 13, 17, 19, 20
Quiz 4 on Thursday will cover sections 2.8 and 2.9.
- Mon 10/5: 2.9. Local extrema.
Exercises: 2.9: #1-6, 9-14, 17-20, 35
- Thu 10/1: Quiz 3 2.8 continued.
2.9 Local extremaExercises: 2.9: #1-6, 9-14, 17-20, 35
- Wed 9/30: 2.8. Parameterizing surfaces.
Exercises: 2.8: #1-3, 5, 9-11, 17-19, 21, 29, 30
Quiz 3 on Thursday 10/1 will cover Sections 2.3-2.5 and 2.7.
- Mon 9/28: 2.5, 2.7. Directional derivatives, Level sets and gradient vectors.
Exercises: 2.7: #1-3, 7-13, 17, 18, 21, 24
- Thu 9/24: Quiz 2, 2.4, 2.5: More on chain rule, directional derivatives.
Exercises 2.5: #1, 3, 5-7, 11-13, 19-21, 25-27, 33-35, 37
- Wed 9/23: 2.3, 2.4: Linear approximation, tangent planes, and the differential,
Differentiation rules
Exercises 2.3: #1, 3, 5, 6, 11, 12, 15, 17, 22, 23
2.4: #1-4, 8, 19, 20, 23, 25, 27, 31, 32The second quiz will be on Thursday, covering Sections 1.7, 1.8 and 2.1.
- Mon 9/21: 2.1: Partial derivatives.
Exercises: 2.1: #1, 2, 5, 7, 13, 16, 18, 19, 22, 27, 29, 32, 34
- Thu 9/17: Quiz 1, 1.8: Graphing surfaces.
Exercises: 1.8: #1-10, 11-15, 19, 20, 23, 25
As a reminder, Quiz 1 will be taken from the exercises for sections 1.2-1.6. Also, I will have office hours 12:00-1:30.
- Wed 9/16: 1.7: Multivariable functions.
Exercises: 1.7: #1, 2, 4, 7-10, 15,
17-19, 21,27, 28 - Mon 9/14: Review: 1.6: Functions of a single variable.
Exercises: 1.6: #1, 4, 5, 7, 9, 10, 18, 19, 21-25, 29, 33-35
The first quiz (taken from the exercises for 9/9-9/14) will be on Thursday, 9/17, at the beginning of class.
- Thu 9/10: Review: 1.4, 1.5: Lines, planes, and hyperplanes; cross product.
Exercises: 1.4: #1-4, 9-12, 13-17, 19, 21-23, 27-30
1.5: #1-4, 9-12, 17-20, 27-29, 31, 35, 37, 41 - Wed 9/9: Review: 1.2, 1.3: R^n as a vector space, dot product and orthogonal projection.
Exercises: 1.2: #1, 3, 5, 7, 9, 10, 13-16, 19-21, 23-24, 27, 29, 33, 36, 41-43, 45, 46,
1.3: #1-4, 9-12, 17-19, 22, 23, 27-30, 33-35, 45-48.