Wed 3/14: Exam 1 Solutions.
Fri 12/8: Final Review.
- Here is the equation sheet you will be given on the final exam.
Wed 12/6: Workshop 13: Course Review/Practice Exam Problems.
Wed 12/6: Review.
- Review of vector calculus material
Tue 12/5: Quiz 7 Solutions.
Tue 12/5: Quiz 6 Solutions.
Whoops! I forgot to post solutions to Quiz 6
Mon 12/4: Stokes’ Theorem continued.
- Reading: Section 4.5, see also Stewart Chapter 16.8.
- Homework: (4.5) #14, 15, (Stewart 16.8) #2, 7.
Fri 12/1: Stokes’ Theorem.
- Quiz 7 in class: Covering problems from 4.4 and Stewart 16.9.
- Reading: Section 4.5, see also Stewart Chapter 16.8.
- Homework: (4.5) #14, 15, (Stewart 16.8) #2, 7.
Wed 11/29: Workshop 12.
Wed 11/29: Divergence Theorem continued.
- Reading: Section 4.4 continued, see also Stewart Chapter 16.9 (handout on Canvas)
- Homework: Stewart 16.9: #2, 3, 7, 11.
Mon 11/27: Divergence Theorem.
- Reading: Section 4.4 continued.
- Homework: (4.4) #1-4.
Wed 11/22: Workshop 11.
Wed 11/22: Surface integrals, continued.
- Reading: Section 4.4 continued.
- Homework: (4.4) #7, 8, 9.
Mon 11/20: Exam 2 Solutions.
Mon 11/20: Surface integrals.
- Reading: Section 4.4.
- Homework: (4.4) #7, 8, 9.
Fri 11/17: Exam 2.
- Exam 2 in class
Wed 11/15: Workshop 10.
Wed 11/15: Review for Exam 2.
- Exam 2 will cover sections 1.7, 3.1–4.3 (except 3.4, 3.7).
Tue 11/14: Exam 2 equation sheet.
- You will be given this equation sheet as part of Exam 2.
Mon 11/13: Green’s Theorem.
- Reading: Section 4.3.
- Homework: (4.3) #1-7.
Wed 11/8: Workshop 9.
Wed 11/8: Line integrals continued, Green’s Theorem.
- Reading: Section 4.2, continued, 4.3.
- Homework: (4.3) #1-7.
- Note: we will not have a quiz this Wednesday, since I did not get far enough in Monday’s lecture.
Mon 11/6: Line integrals continued.
- Reading: Section 4.2, continued
- Homework: (4.2) #1, 2, 3, 4.
Fri 11/3: Line integrals continued.
- Quiz 6 in class: covering sections 3.5 (again), 3.6, and the first part (problems 1 and 3) of 4.1.
- Reading: Section 4.2
- Homework: (4.2) #1, 2.
Wed 11/1: Workshop 8.
Wed 11/1: Line integrals.
- Reading: Section 4.1
- Homework: (4.1) #1, 3, 7, 9, 11.
Mon 10/30: Quiz 5 Solutions.
Fri 10/27: More spherical and cylindrical integration; application to center of mass.
- Quiz 5 in class: covering sections 3.3, 1.7, 3.5.
- Reading: Section 3.6
- Homework: (3.6) #1, 3, 5, 7.
Wed 10/25: Workshop 7.
Wed 10/25: Change of variables in multiple integration.
- Reading: Section 3.5
- Homework: (3.5) #1-4.
Mon 10/23: Curvilinear coordinates.
- Reading: Section 1.7
- Homework: (1.7) #1, 3, 5, 7, 9.
Fri 10/13: Quiz 4 Solutions.
Fri 10/13: Triple integrals.
- Quiz 4 in class covering sections 3.1, 3.2.
- Reading: Section 3.3.
- Homework: (3.3) #1, 3, 5, 7, 10.
Wed 10/11: Workshop 6.
Wed 10/11: Double integrals over general regions.
- Reading: Section 3.2
- Homework: (3.2) #1, 3, 5, 7, 9.
Mon 10/9: Double integrals.
- Reading: Section 3.1
- Homework: (3.1) #1-13, odd problems.
Sat 10/7: Exam 1 Solutions update.
- Mistakes fixed in solutions to problem 6 in Exam 1. Thanks to Jaycoll for pointing them out.
Sat 10/7: Exam 1 Solutions.
Fri 10/6: Exam 1 in class.
- Exam covers sections 1.1-2.7, except 1.7 and 2.6.
Wed 10/4: Workshop 5.
Wed 10/4: Review.
Mon 10/2: Quiz 3 Solutions.
Mon 10/2: Maxima and minima continued, Lagrange multipliers.
- Reading: Section 2.5, 2.7.
- Homework: (2.5) #1, 3, 5, 11 (same as last time). (2.7) #1, 2, 3.
Fri 9/29: Maxima and minima.
- Quiz 3 in class covering sections 2.1-2.4.
- Reading: Section 2.5.
- Homework: (2.5) #1, 3, 5, 11.
Thu 9/28: Workshop 4.
Thu 9/28: Quiz 2 Solutions.
Wed 9/27: Tangent plane to a graph, Gradient, Directional derivatives.
- Reading: Section 2.3, 2.4.
- Homework: (2.3) #1, 3, 5. (2.4) #3, 7, 9, 13, 15, 21, 23.
Mon 9/25: Partial Derivatives.
- Reading: Section 2.2.
- Homework: (2.2) #1-25, odd numbered problems.
- We will hold the first midterm exam on Friday 10/6.
Fri 9/22: Multi-variable functions.
- Quiz 2 in class: covering homework from sections 1.5, 1.6, 1.8, and 1.9.
- Reading: Section 2.1.
- Homework: (2.1) #1, 3, 5, 7, 9, 11.
Thu 9/21: Workshop 3.
- Problems and solutions for Workshop 3, held on 9/20.
- I got overly excited about Frenet frame problems, and made this workshop too hard! Apologies!
Wed 9/20: Curves, tangent lines and arc length.
- Reading: Section 1.8, 1.9.
- Homework: (1.8): #1, 3, 5, 9. (1.9) #1, 3.
Mon 9/18: Surfaces.
- Reading: Section 1.6.
- Homework: (1.6): #1, 5, 7, 9.
Fri 9/15: Workshop 2.
- Problems and solutions for Workshop 2, held on 9/6.
- 9/18: Fixed an error in the solution to problem 3. Thanks to Rayne for catching it!
Wed 9/6: Planes and Surfaces.
- Reading: Section 1.5, 1.6.
- Homework: (1.5): #1, 3, 5, 9, 10, 11, 13, 15 (same as last time); (1.6): #1, 5, 7, 9.
Tue 9/5: Quiz 1 Solutions.
Fri 9/1: Lines and Planes.
- Quiz 1 in class: covering homework problems from sections 1.1-1.4.
- Reading: Section 1.5
- Homework: (1.5): #1, 3, 5, 9, 10, 11, 13, 15.
Wed 8/30: Workshop 1.
- Questions and answers for the first workshop here
Wed 8/30: Dot and cross products.
- Reading: Sections 1.3, 1.4.
- Homework: (1.3): #1, 2, 5, 11, 13, 21, 25. (1.4): #1, 5, 7, 9, 13, 16
Mon 8/28: Vectors and vector algebra.
- Reading: Sections 1.1, 1.2.
- Homework: (1.1): #1-5, (1.2): #1-5