Lecture Schedule
- Finals week:
- Mon 4/27: Office hours 10:00-12:00.
- Wed 4/29: Review session 10:45-12:45 in 305 Shillman.
- Thu 4/30: Prof. Massey has a review session 6:30-9:30pm in 20 West Village F.
- Fri 5/1: Final exam 3:30-5:30pm in 103 Churchill.
You will be permitted to use an equation/formula sheet (1-sided, 8.5x11 in) on the exam.
- Wed 4/22: Review.
Office hours today: 10:30-12:00
The curve for the quiz grade is 1 point. So: to compute your grade, total your 5 of 6 best quiz scores and add 1. This total out of 100 is your quiz grade, which is 60% of your overall grade. The final exam makes up the additional 40%.
Here are some old final exams you may use for studying:
- Fall 12 Exam and solutions.
- Fall 13 Exam and solutions.
- Spring 14 Exam and solutions.
- Fall 14 Exam and solutions.
Solutions to Quiz 6.
- Mon 4/20: Patriot's Day: No classes.
- Thu 4/16: Quiz 6
- Wed 4/15: 4.7. Stokes' Theorem continued.
- Mon 4/13: 4.6, 4.7. Divergence Theorem continued, Stokes' Theorem.
Exercises: 4.7: #1, 2, 5, 6, 9, 10, 17.
Quiz 6 on Thursday 4/16 will cover 4.4-4.7 (Green's theorem, flux integrals, the Divergence theorem and Stokes' Theorem).
- Thu 4/9: 4.5, 4.6. Flux continued, the Divergence Theorem.
Exercises: 4.6: #1-4, 6-11.
- Wed 4/8: 4.5: Flux through a surface.
Exercises: 4.5: #1, 2, 7, 9, 10, 11, 15, 19, 20.
Solutions to Quiz 5.
- Mon 4/6: 4.4: Green's Theorem, continued.
Exercises: 4.4: #1, 3, 5, 7-9, 13, 15.
Quizzes will be handed back on Wednesday (though the grades have been entered into Banner).
- Thu 4/2: Quiz 5
- Wed 4/1: 4.4. Green's Theorem.
Exercises: 4.4: #1, 3, 5, 7-9, 13, 15.
- Mon 3/30: 4.2, 4.3. Line integrals, conservative vector fields and
the Fundamental Theorem for Line Integrals.
Exercises: 4.3: #1-3, 7-9, 15-17, 23, 24, 27, 33, 35, 41, 43.
Quiz 5 on Thursday 4/2 will cover spherical coordinates (from 3.6), 3.11 and 4.1-4.3.
- Thu 3/25: 4.1, 4.2. More vector fields, Line integrals.
Exercises: 4.2: #1-3, 7, 8, 15, 16, 18-20, 23, 25, 27.
- Wed 3/24: 3.11, 4.1. More surface integrals, Vector fields.
Exercises: 4.1: #1, 3, 7, 8-14, 17, 18, 21, 22, 26-28.
Solutions to Quiz 4.
- Mon 3/22: 3.11. Surfaces and area.
Exercises: 3.11: #1-3, 9, 11-13, 15-17, 19-21.
- Thu 3/19: Quiz 4
- Wed 3/18: 3.6, 3.8. Spherical coordinates, density and mass.
Exercises: 3.8: #1, 2, 7-10.
- Mon 3/16: 3.5, 3.6. Volume, Cylindrical
and sphericalcoordinates.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 4 on Thursday 3/19 will cover 3.1-3.6, 3.8.
- Week of Mon 3/9: Spring Break
- Thu 3/5: 3.3, 3.4. Polar coordinates, Integration in R^3 and R^n.
Exercises: 3.3: #1-7, 17.
3.4: #1, 3, 6, 7, 9, 11, 13, 14, 16-18, 20. - Wed 3/4: 3.2, Integration in R^2.
Exercises 3.2: #1-3, 6-8, 17, 18, 23, 24, 27-29, 31-33.
- Mon 3/2: 3.1,
3.2,Iterated integrals,Integration in R^2.Exercises: 3.1 #1, 3, 4, 5, 9, 16, 17-24, 27, 28.
3.2: #1-3, 6-8, 17, 18, 23, 24, 27-29, 31-33.Solutions to Quiz 3.
- Thu 2/26: Quiz 3
- Wed 2/25: 2.10, Optimization, continued.
Slightly modified office hours today: 11:00-12:30.I will have normal office hours today after all: 12-1:30.Topics for Quiz 3 will be 2.8-2.10.
- Mon 2/23: 2.10, Optimization.
Exercises: 2.10: #1, 2, 7, 8, 9, 10, 13, 17, 19, 20.
Quiz 3 will be on Thursday 2/26.
- Thu 2/19: 2.9, Local extrema.
Exercises: 2.9: #1-6, 9-14, 17-20, 35.
Solutions to Quiz 2.
- Wed 2/18: Quiz 2.
- Mon 2/16: No class - Presidents Day
- Thu 2/12: 2.8, Parameterizing surfaces continued.
Exercises: 2.8: #1-3, 5, 9-11, 17-19, 21, 29, 30.
Extra office hours today: 12-1:30
Solutions to Quiz 1.
Topics for Quiz 2: 2.4, 2.5, 2.7
- Wed 2/11: 2.7, 2.8. Level sets and gradient vectors, Parameterizing surfaces.
Exercises: 2.7: #1-3, 7-13, 17, 18, 21, 24.
2.8: #1-3, 5, 9-11, 17-19, 21, 29, 30. - Mon 2/9: Classes canceled
becuase Nature hates New Englanddue to snow.Quiz 2 will be postponed until Wednesday 2/18.
- Thu 2/5: 2.5, 2.7. Directional derivatives, Level sets and gradient vectors.
Exercises: 2.5: #1, 3, 5-7, 11-13, 19-21, 25-27, 33-35, 37,
2.7: #1-3, 7-13, 17, 18, 21, 24. - Wed 2/4: Quiz 1.
- Mon 2/2:
Quiz 1.Classes canceled due to snow.Topics: 1.2-1.8, 2.1, 2.3. You can ignore exercises 1.7: #27 and #28, since we did not cover this material in class and it will not appear on the quiz.
- Thu 1/29: 2.4, Differentiation rules. (If time permits, we will start 2.5, Directional derivatives.)
Exercises: 2.4: #1-4, 8, 19, 20, 23, 25, 27, 31, 32.
Office hours today: 12:00-1:30
- Wed 1/28: Classes canceled due to snow.
Due to the cancellation of Wednesday's classes, Quiz 1 will take place on Monday 2/2. I will also hold my Wednesday office hours (12-1:30) on Thursday.
- Mon 1/26: 2.1, 2.3, Partial derivatives. Linear approximation and tangent planes.
Exercises: 2.3: #1, 3, 5, 6, 11, 12, 15, 17, 22, 23.
- Thu 1/22: 1.8, 2.1. Graphing surfaces. Partial derivatives.
Exercises: 1.8: #1-10, 11-15, 19, 20, 23, 25, 2.1: #1, 2, 5, 7, 13, 16, 18, 19, 22, 27, 29, 32, 34.
- Wed 1/21: 1.7, Multivariable functions.
Exercises: 1.7: #1, 2, 4, 7-10, 15, 17-19, 21, 27, 28.
Quiz 1 will be on Thursday, 1/29 (a week from this Thursday).
- Mon 1/19: MLK Day, no class.
- Thu 1/15: 1.6, Functions of a single variable.
Exercises: 1.6: #1, 4, 5, 7, 9, 10, 18, 19, 21-25, 29, 33-35.
- Wed 1/14: 1.4, 1.5, Lines and planes, the 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.Office hours today will be 10:30-12. (In the future Wednesday's office hours will be from 12-1:30.)
- Mon 1/12: 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.The tutoring links in the printed syllabus are broken. Please use the links on the info page instead.