MATH - 21D
General Information
Instructor: Indrajit JanaMeeting: WELLMAN 212; MTWR 12:10-1:50 pm
Textbook: I will follow the textbook “Thomas' Calculus Early Transcendentals, 13th Edition by George B. Thomas, Maurice Weir, and Joel Hass; Addison Wesley Publishers”
Syllabus: The syllabus can be found here.
Important Dates: See the summer session calendar here.
Office Hours: MWR 5:00-6:00pm or by appointment, in MSB 3125 or 3240
Homework
Homework will be assigned after each lecture. Homework solutions will not be collected but you are expected to do it by yourself before coming to the next lecture.
Exams
There will be total six/seven pop quizzes in the whole quarter. The lowest score will be dropped. You will be tested on the material which is covered in previous lectures/discussions from any day prior (not the material covered on the same day) to the pop quiz. Quiz problems will be same or very similar to the homework problems. I will pick up two or three problems randomly from the problem set and ask you to solve the problem in class (15-20 mins).
The midterm is scheduled on August 25, 2016.
The final exam is scheduled on the last day, September 8, 2016, of the course. Note, there are NO MAKEUP EXAMS!
Grading Policy
The grading policy is the following
Quiz: 30%The grading curve will be decided later.
Midterm: 30%
Final: 40%
SDC
If you need any special arrangement please contact me as early as possible. More precisely, SDC requires me to post the following message.
Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Student Disability Center (SDC). Faculty are authorized to provide only the accommodations requested by the SDC. If you have any questions, please contact the SDC at (530)752-3184 or sdc@ucdavis.edu.
Online Resources
There are many software and online resources for viewing/plotting three dimensional surfaces.- For drawing 3d surfaces.
- For drawing 3d surfaces, vector fields and more.
- For drawing 3d parametric curves
- For drawing 3d parametric surfaces
Tentative Lecture schedule and Homework
| Date | Content | Homework |
|---|---|---|
| August 1 | Double integral over rectangles | Ch 15.1: 5, 9, 12, 15, 19, 25, 27 Ch 15.2: 1-18 |
| August 2 | Double integral over general region | Ch 15.2: 20, 24, 38, 42, 46, 50, 51, 54, 62, 65, 76, 79 Ch 15.3: 3, 4, 7, 12, 13, 15, 18, 20, 22, 24 |
| August 3 | Double integrals in polar form / Quiz 1 | Ch 15.4: 2, 3, 6, 12, 18, 22, 25, 26, 33, 35, 37, 40, 42. |
| August 4 | Triple integral in Rectangular Coordinates | Ch 15.5: 5, 6, 8, 13, 18, 19, 22, 23, 28, 29, 32, 38, 39 |
| August 8 | Triple integrals in Cylindrical Coordinates | Ch 15.7: 3, 4, 6, 8, 12, 13, 15, 18, 41(b,c), 44, 54, 59, 64 |
| August 9 | Triple integrals in Spherical Coordinates / Quiz 2 | Ch 15.7: 22, 25, 34, 37, 40, 41, 49, 55, 56, 61, 66 |
| August 10 | Substitutions in multiple integrals | Ch 15.8: 1, 3, 6, 7, 10, 12, 18, 19, 22, 23 |
| August 11 | Moments and centers of Mass | Ch 15.6: 2, 5, 8, 14, 21, 22, 27, 29, 33, Ch 15.7: 68, 76, 78 Ch 15.8: 11, 25 |
| August 15 | Review of vectors, Arc length in space / Quiz 3 | Ch 13.3: 1, 2, 5, 8, 10, 12, 13, 15, 17(a-d), 18, 19 (Optional Ch 12(practice exercises): 13, 14, 17, 18, 29, 30, 31, 32, 35, 36, 43, 44, 55, 58, 67, 72, 76) |
| August 16 | Curvature and Normal Vectors of a Curve | Ch 13.4: 1, 4, 5, 6, 9, 14, 16, 18, |
| August 17 | Tangential and Normal Components of Acceleration, Line Integrals | Ch 13.5: 1, 4, 6, 10, 14, 17, 20, 23, 26 Ch 16.1: 1-8, 9, 14, 15, 16, 21, 25 |
| August 18 | Line Integrals, Vector Fields and Line Integrals: Work / Quiz 4 | Ch 16.1: 33, 35, 40 Ch 16.2: 1, 2, 5, 7, 11, 16, 20, 21, 25, 26 |
| August 22 | Vector Fields and Line Integrals: Circulation, and Flux | Ch 16.2: 29, 30, 34, 38, 39, 43, 49, 50, 53 Ch 16.3: 1- 6 |
| August 23 | Path independence | Ch 16.3: 9, 10, 16, 17, 18, 19, 22, 25, 28, 29, 31, 33, 35, 36 |
| August 24 | Review / Practice Midterm 1 / Practice Midterm 2 | Quiz 5 / Practice Midterm 1 Solutions / Practice Midterm 2 Solutions |
| August 25 | Midterm | |
| August 29 | Green’s Theorem in the Plane | Ch 16.4: 4, 9, 11, 12, 15, 20, 21, 22, 23, 25, 27, 28, 38 |
| August 30 | Surfaces and Area | Ch 16.5: 3, 4, 6, 7, 10, 11, 19, 22, 24, 27, 29, 30, 33, 36, 41, 44, 47, 51, 56 |
| August 31 | Surface Integrals | Ch 16.6: 1, 2, 5, 8, 11, 15, 18, 19, 21, 22, 26, 32, 35, 36, 39, 40 |
| Sept 1 | Stokes’ Theorem / Quiz 6 | Ch 16.7: 1, 5, 6, 7, 8, 11, 13, 15, 17, 19, 20, 21, 26 |
| Sept 5 | Holiday, no lecture | |
| Sept 6 | The Divergence Theorem and a Unified Theory | Ch 16.8: 5, 6, 10, 12, 14, 17, 20, 22, 24, 27, 28, 29 |
| Sept 7 | Review / Practice Final 1 / Practice Final 2 | Quiz 7 / Practice Final 1 Solutions / Practice Final 2 Solutions |
| Sept 8 | Final Exam |