NJIT HONOR CODE

All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor code very seriously and enforces it strictly.  This means there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams.  Under the Honor Code, students are obligated to report any such activities to the Instructor.

 

Mathematics 675-002:

Partial Differential Equations

SPRING 2008

Course Schedule Link

 

 

     Instructor:  Prof. Gordon

     Textbook:  Partial Differential Equations, by L.C. Evans. American Mathematical Society © 1998 (Graduate Studies in Mathematics - Vol. 19); ISBN: 0821807722.

     Grading Policy:  The final grade in this course will be determined as follows:

      Homework all together:

 

35%

      Midterms:

 

30%

      Final Exam:

 

35%

Please note that the University Drop Date March 31, 2008 deadline will be strictly enforced.

 

     Homework Policy:  No late papers will ever be accepted for any reason. Use only one side of the paper. Staple your pages together. Put problems in the correct order. Messy or unreadable papers won't be graded.

 

 

 

 

 

 

MATH DEPARTMENT CLASS POLICIES LINK

All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.

 

January 21, 2008

M

Dr. Martin Luther King Jr. Holiday ~ University Closed

March 17-21, 2008

M-F

SPRING RECESS ~ No Classes Scheduled

March 21, 2008

F

Good Friday ~ University Closed

March 31, 2008

M

Last Day to WITHDRAW from this Course

 

 

Course Outline:

 

I.

 

Transport Equation: Initial-Value Problem, Non-Homogeneous Problem

 

 

II.

 

Laplace's Equation: Fundamental Solution, Mean-Value Formulas, Harmonic Functions, Green's Function, Energy Methods

 

 

III.

 

Heat Equation: Fundamental Solutions, Mean-Value Formula, Properties Of Solutions, Energy Methods

 

 

IV.

 

Wave Equation: Solution By Spherical Means, Non-Homogeneous Problem, Energy Methods

 

 

V.

 

First Order PDE: Complete Integrals, Characteristics, Hamilton -Jacobi Equations, Conservation Laws

 

 

VI.

 

Sobolev Spaces: Holder Spaces, Sobolev Spaces, Sobolev Inequalities

 

 

VII.

 

Second Order Elliptic Equations: Existence Of Weak Solutions, Maximum Principles, Eigenvalues And Eigenfunctions

 

 

 

 

 

Calendar of weeks for spring 2008:

 

1
 1/22 - 1/25

2
 1/28 – 2/1

3
 2/4 – 2/8

4
 2/11 – 2/15

5
 2/18 – 2/22

6
 2/25 – 2/29

7
 3/3 – 3/7

8
 3/10 – 3/14

9
 3/17 – 3/21

10
 3/24 – 3/28

11
 3/31 – 4/4

12
 4/7 – 4/11

13
 4/14 – 4/18

14
 4/21 – 4/25

15
 4/28 – 5/2

 

Prepared By:  Prof. Peter Gordon

Last revised:  January 02, 2008