# Lecture Schedule

**Note:** Unless otherwise specified, the reading assignment for each
section includes only the "Basic" portion of the chapter and not the "More Depth" portion.

Exercises marked in **bold** will eventually be collected

**Thu 4/24: Final Exam - 3:30pm-5:30pm in 105 Shillman Hall.**

Office hours 10:30-11:30.You may use a calculator and a 1-sided formula sheet.

**Wed 4/23:**Review session in 200RI, 10:15-12:15,

Office hours 1:30-2:30.Here is a Practice Final Exam, and Solutions (solution to Problem 2 corrected 4/23 -- thanks to Evan G. for catching the mistake).

**Tue 4/22:**Office hours 10:30-11:30**Week of 4/14: No more class**, but regular office hours.Here are pdf versions of the quizzes for practice:

Please let me know if you find errors in the solutions!**Thu 4/10:**Course review: Vector calculus (FTCLI, Stokes'/Green's theorems, divergence theorem).**Change of office hours:**12:30-1:30 today instead of the usual 10:30-11:30.**Wed 4/9:**Course review: Integration**Mon 4/7:**Course review: Gradients and optimization.I was unable to finish grading the quiz this weekend. It will be returned on Wednesday.

**Thu 4/3: Quiz 6**and HW5 due.The quiz covers sections 4.5-4.7 (flux, the divergence theorem and Stokes' theorem.)

**Wed 4/2:**4.7 Stokes' Theorem continued.

Exercises (4.7) #1,**2**,**5**, 6, 9,**10**, 13**Mon 3/31:**4.7 Stokes' Theorem.

Exercises (4.7) #1,**2**,**5**, 6, 9,**10**, 13**Thu 3/27:**4.6 The divergence theorem, continued.

Exercises (4.6) #**1**, 2-4,**6**, 7-10,**11****Wed 3/26:**4.6 The divergence theorem.

Exercises (4.6) #**1**, 2-4,**6**, 7-10,**11**Homework 5 (the last one) will be due on the same day as Quiz 6 (the last quiz), which is on Thursday 4/3.

**Mon 3/24: No class or office hours.**Instructor will not be able to be on campus. Class and office hours will resume on Wednesday.

**Thu 3/20: Quiz 5**Covers sections 4.1-4.4.

**Wed 3/19:**4.5 Flux through a surface.

Exercises (4.5) #1,**2**, 7,**9**, 10, 11,**15**, 19, 20**Mon 3/17:**4.4 Green's Theorem. HW 4 due.

Exercises (4.4) #**1**, 3, 5, 7,**8**, 9, 13,**15****Thu 3/13:**4.3 Line integrals of conservative vector fields.

Exercises (4.3) #1-3, 7, 8,**9**, 15, 16,**17**, 23, 24,**27**, 33,**35**, 41, 43**Wed 3/12:**4.2 Line integrals.

Exercises (4.2) #1-3, 7,**8**, 15,**16**, 18-20, 23,**25**, 27**Mon 3/10:**4.1 Vector fields continued.

Exercises (4.1) #1, 3, 7-9,**10**, 11-13,**14**, 17,**18**, 21, 22,**26**, 27,**28**Homework 4 will be due on Monday 3/17.

Remember that the office hours schedule going forward is M 12:30, W 11:30 and Th 10:30.**Week of 3/3: Spring Break****Thu 2/27: Quiz 4**Quiz covers sections 3.6-3.8, 3.11

**Wed 2/26:**3.11 Surface integrals (continued). 4.1 Vector fields.New office hours schedule going forward will be Monday 12:30, Wednesday 11:30 and Thursday 10:30.

I have decided to give a 6th quiz, and to count only your best 5 out of 6 quiz scores toward your final grade.

**Mon 2/24:**3.11 Surfaces and area. HW3 due.

Exercises (3.11) #1, 2,**3**, 9,**11**, 12, 13, 15-17, 19,**20**, 21Quiz 4 on Thursday will cover sections 3.6-3.8 and 3.11.

**Thu 2/20:**3.7 Average values, 3.8 Density and mass

Exercises (3.8) #1, 2, 7, 8,**9, 10****Note:**Problem 3.6 #21 on the homework is fairly intractable in spherical coordinates. I suggest setting up the integral in spherical coordinates (to practice finding the limits), but to actually compute it in cylindrical coordinates.**Wed 2/19:**3.6 Cylindrical and spherical coordinates

Exercises (3.6) #1-3, 7,**8**, 9, 13-15, 19, 20,**21**, 25, 26,**27**, 31, 32, 35, 36Homework 3 will be due on Monday 2/24.

**Mon 2/17: No class - Presidents Day****Thu 2/13: Quiz 3**Quiz covers sections 2.11, 3.1, 3.2, 3.3, 3.4

**Wed 2/12:**3.4 Integration in R^3 continued, 3.5 Volume

Exercises (3.5) #1-3, 9-11,**17**,**18****Mon 2/10:**3.3 Polar coordinates; 3.4 Integration in R^3

Exercises (3.3) #1-5,**6**, 7,**17**, (3.4) #1, 3, 6, 7, 9, 11, 13,**14**, 16, 17,**18**, 20**Office hours this week**will be MWR 12:30-1:30. I will not be availble Wednesday or Thursday at 10:30. Please email me if you want to meet at another time.**Thu 2/6:**3.2 Integration in R^2**Homework 2 due.**

Exercises (3.2) #1-3, 6, 7,**8**, 17,**18**, 23, 24, 27,**28**, 29, 31-33.**Wed 2/5: class and office hours cancelled due to snow storm.**Homework 2 is still due Thursday 2/6.

**Mon 2/3:**3.1 Iterated integrals.

Exercises (3.1) #1, 3, 4, 5, 9, 16,**17, 18,**19-21,**22,**23,**24**, 27, 28.Homework 2 due Thursday 2/6.

**Thu 1/30: Quiz 2****Wed 1/29:**2.11 Lagrange Multipliers.

Exercises (2.11) #1, 3,**12**, 13, 15, 19, 23,**25**, 27, 29**Mon 1/27:**2.10 Optimization.

Exercises (2.10) #1, 2, 7-9,**10, 13**, 17, 19, 20**Thu 1/23:**2.9 continued, second derivative test.~~2.10: Optimization~~

Exercises (2.10) #1, 2, 7-9,**10, 13**, 17, 19, 20**Wed 1/22:**2.8 continued. 2.9: Local extrema

Exercises (2.9) #1,**2**, 3-6, 9,**10**, 11-14, 17-19,**20**, 35**Update:**Due to weather, the 9:15 section is cancelled. 10:30 office hours are*not*cancelled as of this time, nor is the 1:35 section.**Homework 1 will now be due on Monday 1/27**.**Mon 1/20: No Class**MLK Day.**Thu 1/16: in class Quiz 1.**

2.8: Parameterizing surfaces

Exercises: #**1**, 2, 3, 5,**9**, 10, 11, 17,**18**, 19, 21, 29, 30**Quiz 1**covers sections 2.5 and 2.7, with relevant background material from sections 1.4, 1.7 and 2.1.**Homework 1**due next Thursday 1/23.**Wed 1/15:**2.7: Level sets and gradient vectors

Exercises: #1-3, 7-12,**13**,**17**, 18, 21, 24**Mon 1/13:**2.5 Review: Directional derivatives

Exercises: #1-3, 7-9, 15-17,**21**, 22, 23,**29**, 30, 31, 33, 34,**35**There will be an in-class quiz on

**Thursday 1/16**covering material up through Wednesday's lecture.**Week 1 (1/6-1/10):**- 1.4 Review: Lines, planes, and hyperplanes

Exercises: #1-4, 9-12, 13-17, 19, 21-23, 27-30 - 1.5 Review: Cross product

Exercises: #1-4, 9-12, 17-20, 27-29, 31, 35, 37, 41 - 1.7 Review: Multivariable functions

Exercises: #1, 2, 4, 7-10, 15, 17-19 - 2.1 Review: Partial derivatives

Exercises: #1, 2, 5, 7, 13, 16, 18, 19, 22, 27, 29, 32, 34

Prof. Kottke is on leave for this week. Please contact Prof. Rita Jimenez Rolland (9:15am section) or Prof. Ramis Movassagh (1:35pm section) in the interim.

The exercises posted above are for your own practice. They will not be turned in. Semi-weekly homework assignments and quizzes will begin next week.

- 1.4 Review: Lines, planes, and hyperplanes