Math 251H: Multivariable Calculus (Honors Section) - Spring 2019
Instructor: Joseph Palmer
Email: j.palmer at math.rutgers.edu
Teaching Assitant: Xindi Zhang (xz350 at math dot rutgers dot edu)
Schedule: 5:00-6:20pm Mondays and Wednesdays in TIL 242
Textbook: Calculus: Early Transcendentals (Jon Rogawski, Rutgers Edition, ISBN 1-4641-0376-3)
Office Hours: Wednesdays, 1-3pm in my office (Hill 340)
TA Office Hours: TBA
The tentative schedule for the course, which will be updated from time to time, is below.
Other course information is on the syllabus.
Please email me if you have any questions. Homework will be handled through
the WebAssign system and is typically due
each Friday at 7pm.
You can check your current grade in this course with
sakai.
Please let me know as early as possible if you think there are any errors on the sakai
gradebook.
Grade Breakdown:
Your final grade in the course will be computed as follows:
| | Homework: | 5% |
| Maple Labs: | 5% |
| Quizzes: | 10% |
| Midterm 1: | 20% |
| Midterm 2: | 20% |
| Final Exam: | 40% |
Homework:
Homework will be handled through
WebAssign.
Maple Labs:
Find the maple assignments at the below links and turn them in to the TA.
On the weeks these assignments are due (notice this is not every week)
they are to be turned in
at the start of the recitation session with the TA.
The personalized student data will be made available on
sakai.
Due dates:
Maple Lab 0: done in class with TA on Jan 24 (in TIL 106-J1)
Maple Lab 1: due date Thursday, Feb 21,
instructions
Maple Lab 2: due date Thursday, March 14,
instructions
Maple Lab 3: due date Thursday, April 4,
instructions
Maple Lab 4: due date Thursday, April 25,
instructions
Maple Lab 5: due date Thursday, May 2,
instructions
Tentative Schedule:
| Date | Sections | Topics |
|---|
| W: 1/23 | 12.1, 12.2 | Vectors in 2- and 3-dimension |
| M: 1/28 | 12.3, 12.4 | Dot product and Cross Product of Vectors |
| W: 1/30 | 12.5 | Planes in 3D (and catch up on other sections) |
| M: 2/4 | 13.1, 13.2 | Vector-valued Functions |
| W: 2/6 | 13.3, 13.4 | Arc Length, Speed, Curvature |
| M: 2/11 | 14.1, 14.2 | Multivariable Functions, Limit, Continuity |
| W: 2/13 | 14.3, 14.4 | Partial Derivatives, Differentiability, Tangent Planes |
| M: 2/18 | 14.5 | Gradient and Directional Derivatives |
| W: 2/20 | 14.6 | The Chain Rule |
| M: 2/25 | 14.7 | Optimization of Multivariable Function |
| W: 2/27 | 14.8 | Lagrange Multipliers |
| M: 3/4 | | Midterm 1 |
| W: 3/6 | 15.1 | Integration of Multivariable Function |
| M: 3/11 | 15.2 | Double Integral Over General Regions |
| W: 3/13 | 15.3 | Triple Integral |
| M: 3/25 | 12.7 | Cylindrical and Spherical Coordinates |
| W: 3/27 | 15.4 | Integration in Polar, Cylindrical, and Spherical Coordinates |
| M: 4/1 | 15.6 | Change of Variables |
| W: 4/3 | 16.1 | Vector Fields |
| M: 4/8 | 16.2 | Line Integrals |
| W: 4/10 | 16.3 | Conservative Vector Fields |
| M: 4/15 | | Midterm 2 |
| W: 4/17 | 16.4 | Surface Integrals |
| M: 4/22 | 16.5 | Surface Integrals of Vector Fields |
| W: 4/24 | 17.1 | Greens Theorem |
| M: 4/29 | 17.2 | Stokes Theorem |
| W: 5/1 | 17.3 | Divergence Theorem |
| M: 5/6 | | Catch up and review |
| F: 5/10 | | FINAL EXAM (TIL 242, 4:00-7:00pm) |