# 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 extrema~~Exercises: 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 rulesExercises 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.