Math 251H: Multivariable Calculus (Honors Section) - Fall 2017
Instructor: Joseph Palmer
Email: j.palmer at math.rutgers.edu
Teaching Assitant: Justin Semonsen (js2118 at math dot rutgers dot edu)
Syllabus: link
Schedule: 5:00-6:20pm Mondays and Wednesdays in TIL 257
Textbook: Calculus: Early Transcendentals (Jon Rogawski, Rutgers Edition, ISBN 1-4641-0376-3)
Office Hours: Wednesdays 10am-noon in my office, Hill 340
TA Office Hours: 12:30-1:30 Mondays and 1:30-2:30 Wednesdays
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 due
each Friday at 5pm.
You can check your current grade in this course
and access the WebAssign system with
sakai.
Maple Assignments:
Find the maple assignments
here 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.
Due dates:
Lab 1: Thursday, Sept 28
Lab 2: Thursday, Oct 26
Lab 3: Thursday, Nov 2
Lab 4: Thursday, Nov 16
Lab 5: Thursday, Nov 30
Tentative Schedule:
| Date | Sections | Topics |
|---|
| 9/6 | 12.1, 12.2 | Vectors in 2- and 3-dimension |
| 9/11 | 12.3, 12.4 | Dot product and Cross Product of Vectors |
| 9/13 | 12.5 | Planes in 3D (and catch up on other sections) |
| 9/18 | 13.1, 13.2 | Vector-valued Functions |
| 9/20 | 13.3, 13.4 | Arc Length, Speed, Curvature |
| 9/25 | 14.1, 14.2 | Multivariable Functions, Limit, Continuity |
| 9/27 | 14.3, 14.4 | Partial Derivatives, Differentiability, Tangent Planes |
| 10/2 | 14.5 | Gradient and Directional Derivatives |
| 10/4 | 14.6 | The Chain Rule |
| 10/9 | 14.7 | Optimization of Multivariable Function |
| 10/11 | 14.8 | Lagrange Multiplier |
| 10/16 | | Midterm 1 |
| 10/18 | 15.1 | Integration of Multivariable Function |
| 10/23 | 15.2 | Double Integral Over General Regions |
| 10/25 | 15.3 | Triple Integral |
| 10/30 | 12.7 | Cylindrical and Spherical Coordinates |
| 11/1 | 15.4 | Integration in Polar, Cylindrical, and Spherical Coordinates |
| 11/6 | 15.6 | Change of Variables |
| 11/8 | 16.1 | Vector Fields |
| 11/13 | 16.2 | Line Integrals |
| 11/15 | 16.3 | Conservative Vector Fields |
| 11/20 | | Midterm 2 |
| 11/22 | | No class |
| 11/27 | 16.4 | Surface Integrals |
| 11/29 | 16.5 | Surface Integrals of Vector Fields |
| 12/4 | 17.1 | Greens Theorem |
| 12/6 | 17.2 | Stokes Theorem |
| 12/11 | 17.3 | Divergence Theorem |
| 12/13 | | Review/Catch up |
| 12/21 | | FINAL EXAM (4-7pm in TIL 257) |