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)