Wed 12/7: Final Exam.
- Final Exam: 10-12:30 LBR 248.
Tue 12/6: Review Session and Materials.
- Concept Review, the last page of which is the formula sheet which will be provided on the final exam.
- Conor will have a review session on Tuesday 12/6 at 8pm in HNS 106.
Fri 12/2: Review Session.
- Office Hours Today: 11-12, 2-4.
Wed 11/30: Workshop 12: Review Questions.
Wed 11/30: Homework Solutions 11/7-11/30.
Wed 11/30: Divergence Theorem.
- Reading: Chapter 16.9.
- Homework: (16.9): #2, 5, 7, 8.
Mon 11/28: Stokes’ Theorem.
- Reading: Chapter 16.8.
- Homework: (16.8): #2, 5, 8, 9, 14.
Wed 11/23: Quiz 9.
- Quiz 9: Covering 16.6, 16.7.
Mon 11/21: Surface integrals continued.
- Reading: Chapter 16.7
- Homework: (16.7): #6, 7, 9, 22, 23, 27
Fri 11/18: Surface integrals.
- Reading: Chapter 16.7
- Homework: (16.7): #6, 7, 9, 22, 23, 27
Wed 11/16: Workshop 11.
Wed 11/16: Parametric surfaces.
- Reading: Chapter 16.6
- Homework: (16.6): #3, 5, 20, 21, 23, 33, 41, 44.
- Quiz 7 on Friday: will cover 16.3-16.5.
Mon 11/14: Green’s Theorem continued, Curl and Divergence.
- Reading: Chapter 16.4, 16.5.
- Homework: (16.4): #11-14, 18; (16.5): #1, 3, 5, 7, 12, 13, 14, 17.
Wed 11/9: Workshop 10.
Wed 11/9: Green’s Theorem.
- Reading: Chapter 16.4
- Homework: (16.4): #11-14, 18.
Mon 11/7: Exam 2 Solutions.
Mon 11/7: Fundamental Theorem of Calculus for Line Integrals.
- Reading: Chapter 16.3
- Homework: (16.3): #3, 6, 12, 13, 15, 17.
Fri 11/4: Exam 2.
- Covering: 15.1-15.5, 15.7-15.9, 16.1, 16.2 (Regarding the line integrals in 16.2, only integrals of functions with respect to ds, and of vector fields – as in the homework problems. Skip the nonsense about line integrals of functions with respect to dx, dy, etc.)
- Formulas to be provided on the exam:
- Relevant trig identities and/or integrals
Wed 11/2: Workshop 9.
Wed 11/2: Homework Solutions 10/19-10/31.
Wed 11/2: Review for Exam 2.
- Reading: Chapter 15.1-15.5, 15.7-15.9, 16.1, 16.2.
Mon 10/31: Line Integrals continued.
- Reading: Chapter 16.2
- Homework: (16.2): #1, 3, 11, 17, 19, 22.
Fri 10/28: Line Integrals.
- Quiz 7 in class: Covering homework sections 15.9 and 16.1.
- Reading: Chapter 16.2
- Homework: (16.2): #1, 3, 11, 17, 19, 22.
Wed 10/26: Workshop 8.
Wed 10/26: Vector Fields.
- Reading: Chapter 16.1
- Homework: (16.1): #4, 5, 11-14, 15-18, 21, 23, 25.
Mon 10/24: Spherical, cylindrical coordinates, continued.
- Reading: Chapter 15.8, 15.9.
- Homework: (15.9): #1, 3, 9, 21, 22, 24, 27.
Fri 10/21: Spherical coordinates.
- Quiz 6 in class: Covering homework sections 15.7 (again) and 15.8.
- Reading: Chapter 15.9.
- Homework: (15.9): #1, 3, 9, 21, 22, 24, 27.
Wed 10/19: Workshop 7.
Wed 10/19: Cylindrical coordinates.
- Reading: Chapter 15.8.
- Homework: (15.8): #1, 3, 7, 8, 9, 17, 22, 23.
Mon 10/17: No Class on Monday 10/17.
Fri 10/7: Quiz, No lecture.
- Quiz 5 in class: Covering homework sections 15.4, 15.5, 15.7.
- No lecture today or Mon Oct 17. Lectures will resume Wednesday Oct. 19. Have a good break!
Wed 10/5: Workshop 6.
Wed 10/5: Homework Solutions 9/26-9/28.
Wed 10/5: Triple Integrals.
- Reading: Chapter 15.7.
- Homework: (15.7): #9, 13, 15, 20. 29, 33.
Mon 10/3: Polar Coordinates, Applications of double integrals.
- Reading: Chapter 15.4, 15.5.
- Homework: (15.4): 1-5, 7, 10, 11, 20, 23; (15.5): 2, 7, 15, 17.
Fri 9/30: Polar Coordinates.
- Quiz 4 in class: Covering homework sections 15.1-15.3
- Reading: Chapter 15.4
- Homework: (15.4): 1-5, 7, 10, 11, 20, 23
Wed 9/28: Workshop 5.
Wed 9/28: Iterated integrals, integrals over general regions.
- Reading: Chapter 15.2, 15.3
- Homework: (15.2): #3, 12, 15, 25, 29; (15.3): #1, 7, 15, 17, 23
Mon 9/26: Double integrals.
- Reading: Chapter 15.1
- Homework: (15.1): #1, 7, 11, 13
Fri 9/23: Exam 1 Solutions.
Fri 9/23: Exam 1.
- Covering: 13.1, 13.2, 14.1, and 14.3-14.7, omitting vector valued integration in 13.2, implicit differentiation in 14.5, and absolute max/min in 14.7. (Chapter 12 material is foundational.)
- Formulas to be provided on the exam:
- Dot and cross products
- Equation for a line given a point and a tangent vector
- Equation for a plane given a point and a normal vector
Wed 9/21: Workshop 4.
Workshop review questions:
- 13.2 (Curves and derivatives) #10, 18, 25
- 14.1 (Multivariable functions) #29, 30, 47, 69, 70
- 14.3 (Partial derivatives) #20, 31, 69
- 14.4 (Linear approximations) #1, 5, 17
- 14.5 (Chain rule) #11, 21, 22
- 14.6 (Gradient, directional derivatives) #10, 24, 42.a
- 14.7 (Critical points and extrema) #9, 14
- Workshop answers
- Homework solutions 14.6, 14.7
Wed 9/21: Maximum and Minimum values continued.
- Reading: Chapter 14.7
- Homework: (14.7): #1, 2, 3, 7, 8, 19 (omit 29, 32, and 35: we did not cover this)
Mon 9/19: Maximum and Minimum values.
- Reading: Chapter 14.7
- Homework: (14.7): #1, 2, 3, 7, 8, 19, 29, 32, 35
Fri 9/16: Homework Solutions 9/7-9/14.
Fri 9/16: Directional Derivatives and Gradient.
- Quiz 3 in class: Covering homework sections 14.1-14.5
- Reading: Chapter 14.6
- Homework: (14.6): #7, 9, 11, 21, 32, 33, 41, 43
Wed 9/14: Workshop 3.
Wed 9/14: Chain Rule.
- Reading: Chapter 14.5
- Homework: (14.5): #7, 9, 10, 14, 31, 33
Mon 9/12: Tangent plane and linear approximation.
- Reading: Chapter 14.4
- Homework: (14.4): #11, 13, 19, 21.
Fri 9/9: Limits and partial derivatives.
- Reading: Chapter 14.2, 14.3.
- Homework: (14.2): #5, 7, 13; (14.3): #15, 17, 32, 33, 51, 52, 60.
Wed 9/7: Homework Solutions 8/26-8/31.
Wed 9/7: Multivariable functions.
- Quiz 2 in class: Covering homework from 8/26-8/31
- Reading: Chapter 14.1
- Homework: (14.1): #9, 25, 29, 39, 41, 44, 46, 66, 68
- No Workshop today
Fri 9/2: Update: Classes cancelled.
- Quiz 2 will be on Wednesday 9/7 instead, and there will be no quiz on Friday 9/9.
Fri 9/2: Multivariable functions.
- Quiz 2 in class: Covering homework from 8/26-8/31
- Reading: Chapter 14.1
- Homework: (14.1): #9, 25, 29, 39, 41, 44, 46, 66, 68
Wed 8/31: Workshop 2.
Wed 8/31: Derivatives of curves.
- Reading: Chapter 13.2 (omitting the part on integrals of vector valued functions).
- Homework: (13.2): #3, 6, 9, 18, 19, 23, 24.
Mon 8/29: Surfaces; Curves.
- Reading: Chapters 12.6, 13.1
- Homework: (12.6): #11, 14, 15, 18, 21-28, 33, 35; (13.1): #7-14, 27.
Fri 8/26: Homework Solutions 8/22-8/24.
Fri 8/26: Lines, planes and surfaces.
- Quiz 1 in class: Covering homework from 8/22 and 8/24.
- Reading: Chapters 12.5, 12.6.
- Homework: (12.5): #9, 10, 13, 19, 23, 33; (12.6): #11, 14, 15, 18, 21-28, 33, 35.
Thu 8/25: TA help sessions.
Conor will run a regular TA help session on Thursdays at 9pm in HNS 106.
Wed 8/24: Workshop 1.
Questions and answers for Workshop 1 are here.
Wed 8/24: Dot and cross products.
- Reading: Chapters 12.3, 12.4.
- Homework: (12.3): #1, 2, 5, 6, 15, 18, 25; (12.4): #2, 3, 5, 13, 28, 29
Mon 8/22: TA Review session.
Conor will provide a Calc I and II review session today, 8/22 at 6pm in HNS 106
Mon 8/22: 3D coordinates and vectors.
- Reading: Chapters 12.1, 12.2.
- Homework: (12.1): #6, 7, 9, 12, 15, 35, 36; (12.2): #9, 13, 15, 17, 25, 26