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 331-001:

Introduction to Partial Differential

Fall 2007

Course Schedule Link

 

 

*     Instructor:  Prof. Matveev

*     Textbook:  Applied Partial Differential Equations by R. Haberman, Pearson Prentice-Hall; ISBN: 0130652431.

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

      Homework +Quizzes:

 

20%

      Two Midterm Exams:

 

24% each

      Final Exam:

 

32%

Your final letter grade will be based on the following tentative curve:

A

87-100

 

C

62-68

B+

81-86

 

D

56-61

B

75-80

 

F

0-55

C+

69-74

 

 

 

This curve may be adjusted slightly at the end of the semester. Also note that the University Drop Date November 5, 2007 deadline will be strictly enforced.

 

*     Homework Policy:  Homework will be assigned and collected each week, but will not be graded; instead, quizzes will be given each week to test the knowledge of HW material (see below). On some weeks, the Instructor may also request specific HW sets to be handed in for grading. No group discussion or interaction is allowed when working on a graded assignment. Any forms of plagiarism, i.e., copying of other students’ homework or quizzes, is very easy to detect, and will not be tolerated. Under the Honor Code, students are obligated to report any such activities to the Instructor. The Instructor is in turn obligated to report any violations of the Honor Code to the Department and NJIT administration.

*     Quiz Policy:  There will be a 10-15 minute quiz given once every week on the previous week HW set. There will be no makeup quizzes; in case of a legitimate documented reason for an absence, the missed score will be ignored when calculating the final grade. No interaction or conversation is allowed during the quiz.

*     Makeup Exam Policy:  There will be NO makeup exams during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.

*     Attendance and Participation:  Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions and, therefore, affect your grade. Tardiness to class is very disruptive to the instructor and students and will not be tolerated.

*     Cellular Phones:  All cellular phones and beepers must be switched off during all class times.

 

 

 

 

 

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.

 

 

September 3

M

Labor Day ~ No Classes Scheduled

November 5

M

Last Day to Withdraw from Classes

November 20

T

Classes Follow a Thursday Schedule

November 21

W

Classes Follow a Friday Schedule

November 22-23

R-F

Thanksgiving Recess ~ No Classes Scheduled

 

 

 

Course Outline and Homework Assignments:

 

Week
Dates

Sect.

Topic

Page

Assignments

1
 9/4, 9/6

Review of Vector Calculus and Ordinary Differential Equations Concepts

1.2:

Derivation of the Conduction of Heat in a 1D Rod

p.10:

3, 5, 9

1.3:

Boundary Conditions and Basic Concepts

p.14:

1, 2

2
 9/11, 9/13

1.4:

Equilibrium Temperature Distribution

p.18:

1, 3, 7, 11

1.5:

Derivation of the Heat Equation in 2/3 Dimensions

p.29:

2, 5

3
 9/18, 9/20

2.2-
2.3:

Linearity and Heat Equation with Zero Temperature at Finite Ends

p.38:
P.55:

1, 2
1, 2, 3

2.4:

Worked Examples with the Heat Equation

p.69:

1, 3, 4

4
 9/25, 9/27

2.5:

Laplace’s Equation: Solutions and Qualitative Properties

p.85:

1(d) &(g),3,5,7,8(b), 15(a) &(c)

5
 10/2, 10/4

REVIEW OF CHAPTERS 1-3

 

October 4, 2007:  MIDTERM EXAM 1

6
 10/9, 10/11

4.2:

Derivation of the Equation of a Vertically Vibrating String

p.138:

1, 2

4.3:

Boundary Conditions

p.141:

1, 2

4.4:

Vibrating String with Fixed Ends

p.147:

1, 2, 3

7
 10/16, 10/18

5.2:

Sturm-Liouville Eigenvalue Problems

p.168:

2

5.3:

Worked Examples

p.168:

4, 5, 6, 8, 9

8
 10/23, 10/25

5.4:

Heat Flow in a Nonuniform Rod

p.172:

1, 4, 5

5.5:

Self-Adjoint Operators and Sturm-Liouville Eigenvalue

p.181:

2, 3, 8, 9

9
 10/30, 11/1

REVIEW OF SECTIONS 4.2 - 5.5

 

NOVEMBER 1, 2007:  MIDTERM EXAM 2

10
 11/6, 11/8

*

NOVEMBER 5, 2007:    (M)     LAST DAY TO WITHDRAW FROM THIS COURSE  

5.6:

Rayleigh Quotient

194:

1, 2

5.7:

Vibrations of a Nonuniform String- Connection with Fourier Series

198:

1

11
 11/13, 11/15

5.8:

Boundary Conditions of the Third Kind

p.209:

1, 3, 6, 8

7.2:

Separation of the Time Variable

p.279:

1, 2

12
 11/20

7.3:

Vibrating Rectangular Membrane

p.286:

1 (d) and (e), 3, 4 (a)

*

November 20-21, 2007:    (T-W)     Classes Follow a Thursday and Friday Schedule

*

November 22-23, 2007:    (R-F)       Thanksgiving Recess ~ No Classes Scheduled

13
 11/27, 11/29

7.7:

Vibrating Circular Membrane and Bessel Functions

p.315:

3, 10

10.2:

Heat Equation on an Infinite Domain (the Fourier Transform)

p.449:

1, 2

14
 12/4, 12/6

10.3-
10.4:

Fourier Transform Pairs and the Heat Equation

p.455:
p.469:

4, 5, 6, 7
1, 3, 8, 9

10.5:

Fourier Sine and Cosine Transforms

p.479:

11, 12, 16

15
 12/11

10.6:

Worked Examples Using Transforms

p.499:

1 (b), 3,  18

REVIEW FOR FINAL EXAM

Finals

FINAL EXAM :  December 14-20, 2007

Prepared By:  Prof. Victor Matveev

Last revised:  August 1, 2007