Wed 11/25: Review.
- Workshop today will also be a review session, with a set of comprehensive practice problems posted.
Mon 11/23: Review.
Fri 11/20: The divergence theorem.
- Reading: Chapter 16.9
- Homework (16.9) #1, 3, 5, 7, 9, 11.
- Note: The final homework set will not be due today, but rather on Wednesday 11/25.
Mon 11/16: Stokes’ Theorem continued.
- Reading: Chapter 16.8
- Homework (same as last time): (16.8) #3, 5, 7, 9, 13, 15.
Mon 11/16: Stokes’ Theorem.
- Reading: Chapter 16.8
- Homework: (16.8) #3, 5, 7, 9, 13, 15.
Fri 11/13: Class canceled, see you Monday.
Wed 11/11: No Class - Veteran’s Day.
Mon 11/9: Surface integrals, continued.
- Reading: Rest of Chapter 16.7
- Homework: (16.7) #21, 23, 25, 27, 29
Fri 11/6: Surfaces, Area, and Surface Integrals.
- Reading: Rest of Chapter 16.6, Chapter 16.7 through p. 1166
- Homework: (16.6) #33, 35, 39, 43, 45, (16.7): #5, 7, 9.
Wed 11/4: Surfaces and Area.
- Reading: Chapter 16.6
- Homework: (16.6) #1, 3, 5, 19, 21, 23, 25
Mon 11/2: Curl and Divergence.
- Reading: Chapter 16.5
- Homework: (16.5) #1, 3, 7, 12, 13, 15, 17
Fri 10/30: Green’s Theorem.
- Reading: Chapter 16.4
- Homework: (16.4) #1, 5, 7, 11, 13.
Wed 10/28: The Fundamental Theorem for line integrals.
- Reading: Chapter 16.3
- Homework: (16.3) #3, 5, 7, 13, 15, 17
Mon 10/26: Line integrals.
- Reading: Chapter 16.2
- Homework: (16.2) #1, 3, 9, 11, 17, 19, 21
Fri 10/23: Vector fields.
- Reading: Chapter 16.1
- Homework: (16.1) #1, 3, 5, 7, 9, 11-14, 21, 23, 25
Wed 10/21: Exam 2.
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Exam 2 will be posted as a Canvas assignment shortly before 10am. You will have 50 minutes to complete it, plus a 10 minute window to snapshot and upload your work. Attendance on zoom with camera on is required.
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There will be no workshop today.
Mon 10/19: Review for Exam 2.
Fri 10/16: Spherical coordinates.
- Reading: Chapter 15.9 (optional material that will not be examined), Review of Cylindrical and Spherical coordinates
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Homework: No new homework problems
- Reminder: Exam 2 will take place next week, on Wednesday, October 21, covering 15.1-15.8 (except 15.5); a more detailed topic list appeared as an announcement.
Wed 10/14: Spherical coordinates.
- Reading: Chapter 15.8
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Homework: (15.8) #1, 5, 9, 11, 13, 21, 23, 25.
- Reminder: Exam 2 will take place next week, on Wednesday, October 21, covering the material in Chapter 15 (since the last exam).
Fri 10/9: Cylindrical coordinates.
- Reading: Chapter 15.7
- Homework: (15.7) #1, 3, 5, 7, 17, 23, 25
Wed 10/7: Triple integrals.
- Reading: Chapter 15.6
- Homework: (15.6) #3, 5, 7, 13, 17, 33, 41
Mon 10/5: Applications of double integrals.
- Reading: Chapter 15.4
- Homework: (15.4) #1, 3, 11, 13
Fri 10/2: Double integrals in polar coordinates.
- Reading: Chapter 15.3
- Homework: (15.3) #1-4, 5, 7, 9, 19, 27.
Wed 9/30: Integrals over general 2D regions.
- Reading: Chapter 15.2
- Homework: (15.2) #3, 5, 7, 11, 23, 25, 45, 49
Mon 9/28: Double integrals, iterated integrals.
- Reading: Chapter 15.1
- Homework: (15.1) #1, 9, 11, 13, 15, 19, 29.
Fri 9/25: Exam 1 in class.
- Exam 1 will be posted as a Canvas assignment shortly before 10am. You will have 50 minutes to complete it, plus a 10 minute window to snapshot and upload your work. Attendance on zoom with camera on is required.
Wed 9/23: Review session.
Mon 9/21: Global maxima and minima.
- Reading: Rest of 14.7. We may dip into a bit of 14.8 as it pertains to the problem of finding global extrema, but this will not be required for the exam.
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Homework: (14.7) #31, 33, 35, 37.
- Reminder: Exam 1 will take place this Friday, September 25 at 10am Eastern time. Zoom attendance with video is required. Please contact me ASAP if this poses any problems for you.
Fri 9/18: Local maxima and minima.
- Reading: 14.7 (up to Absolute Maximum and Minimum Values, which we’ll cover next time)
- Homework: (14.7) #3, 4, 5, 7, 11, 13,
Wed 9/16: Directional derivative, gradient.
- Reading: 14.6
- Homework: (14.6) #7, 9, 11, 13, 15, 23, 33, 41, 43.
Mon 9/14: Tangent planes and linear approximation, Chain rule.
- Reading: 14.4, 14.5
- Homework: (14.4) #1, 3, 11, 13, (14.5) #1, 3, 5, 7, 9, 11.
Fri 9/11: Limits, continuity and partial derivatives.
- Reading: 14.2, 14.3
- Homework: (14.2) #29, 31, 33, (14.3) #5, 7, 10, 15, 17, 33, 37, 53
Wed 9/9: Multivariable functions.
- Reading: 14.1
- Homework: (14.1) #25, 29, 31, 45, 47, 49, 61, 63, 64.
Fri 9/4: Arc length and curvature.
- Reading: 13.3 (mostly focusing on arc length and the first part of curvature)
- Homework: (13.3) #1, 3, 17, 19.
Wed 9/2: surfaces, space curves.
- Reading: 12.6, 13.1, 13.2
- Homework: (12.6 same as before) #3, 5, 11, 13, 15, 17, 21-28, (13.1): #7, 9, 11, 21, 23, 25, (13.2): #9, 11, 23
Mon 8/31: surfaces.
- Reading: 12.6.
- Homework: (12.6) #3, 5, 11, 13, 15, 17, 21-28.
Fri 8/28: lines and planes, surfaces.
- Reading: Sections 12.5, 12.6.
- Homework: (12.5 highlighted problems due next week): #3, 5, 7, 23, 33, 51, 53, (12.6) #3, 5, 11, 13, 15, 17, 21-28.
Wed 8/26: Dot product continued, cross product, lines and planes.
- Reading: Sections 12.3, 12.4, 12.5
- Homework: (12.3 same): #1, 4, 8, 23, 24, 27, (12.4): #1, 3, 13, 28, 29, (12.5): #3, 5, 7, 23, 33.
Mon 8/24: Euclidean space, vectors and vector algebra.
- Reading: Sections 12.1-12.3
- Homework: (12.1): #2, 5, 6, (12.2): #15, 17, 19, 21, (12.3): #1, 4, 8, 23, 24, 27.