Math 251H: Multivariable Calculus (Honors Section) - Spring 2018
Instructor: Joseph Palmer
Email: j.palmer at math.rutgers.edu
Teaching Assitant: Natalie Tsipenyuk (nt259 at math.rutgers.edu)
Syllabus: link
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 10am-noon in my office, Hill 340
TA Office Hours: Thursdays 1:20-3:10, LSH Room102D
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 5pm.
You can check your current grade in this course
and access the WebAssign system 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
the WebAssign system, which can be accessed through
sakai.
Maple Labs:
Find the maple assignments
at this link 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 (tentative!):
Lab 1: Thursday, Feb 8
Lab 2: Thursday, Feb 22
Lab 3: Thursday, March 8
DELAYED until March 29nd because of NJ weather
Lab 4: Thursday, March 22
DELAYED until March 29nd because of NJ weather
Lab 5: Thursday, April 5
also delayed... this one is due April 12th now
Tentative Schedule:
| Date | Sections | Topics |
|---|
| 1/17 | 12.1, 12.2 | Vectors in 2- and 3-dimension |
| 1/22 | 12.3, 12.4 | Dot product and Cross Product of Vectors |
| 1/24 | 12.5 | Planes in 3D (and catch up on other sections) |
| 1/29 | 13.1, 13.2 | Vector-valued Functions |
| 1/31 | 13.3, 13.4 | Arc Length, Speed, Curvature |
| 2/5 | 14.1, 14.2 | Multivariable Functions, Limit, Continuity |
| 2/7 | 14.3, 14.4 | Partial Derivatives, Differentiability, Tangent Planes |
| 2/12 | 14.5 | Gradient and Directional Derivatives |
| 2/14 | 14.6 | The Chain Rule |
| 2/19 | 14.7 | Optimization of Multivariable Function |
| 2/21 | 14.8 | Lagrange Multiplier |
| 2/26 | | Midterm 1 |
| 2/28 | 15.1 | Integration of Multivariable Function |
| 3/5 | 15.2 | Double Integral Over General Regions |
| 3/7 | 15.3 | Triple Integral |
| 3/19 | 12.7 | Cylindrical and Spherical Coordinates |
| 3/21 | 15.4 | Integration in Polar, Cylindrical, and Spherical Coordinates |
| 3/26 | 15.6 | Change of Variables |
| 3/28 | 16.1 | Vector Fields |
| 4/2 | 16.2 | Line Integrals |
| 4/4 | 16.3 | Conservative Vector Fields |
| 4/9 | | Midterm 2 |
| 4/11 | 16.4 | Surface Integrals |
| 4/16 | 16.5 | Surface Integrals of Vector Fields |
| 4/18 | 17.1 | Greens Theorem |
| 4/23 | 17.2 | Stokes Theorem |
| 4/25 | 17.3 | Divergence Theorem |
| 4/30 | | Catch up and review |
| 5/4 | | FINAL EXAM (TIL 242, 4-7pm TENTATIVE) |