• Course Information
• Lecture Schedule
• Homework Assignments

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:

  • Quiz 1 and Solutions.
  • Quiz 2 and Solutions.
  • Quiz 3 and Solutions.
  • Quiz 4 and Solutions (solution to Problem 3 corrected 4/23 -- thanks to Nick P. for catching the error).
  • Quiz 5 and Solutions.
  • Quiz 6 and Solutions.
  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, 21

  Quiz 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, 36

  Homework 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.