TR 10:00am - 11:25am, Fac. 309

Spring 2004

Instructor:  Prof. Christopher Raymond
Office:  614 Cullimore Hall
Phone:  (973) 596-3427
Email:  raymond@njit.edu
Office Hours:  TWR, 11:30-12:30, Cul. 614, or by appointment
 

Textbook: R. Haberman, Applied Partial Differential Equations (4th edition), Prentice Hall, 2004 (ISBN 0-13-065243-1).

More References

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

Homework, quizzes, etc.:	30%
First Midterm:	20%
Second Midterm:	20%
Final Exam:	30%

Homework Policy: Homework problem sets will be assigned and collected each week. All homework problems must be done; a subset of the homework problems will be graded. Homework will constitute a substantial percentage of the grade. Late homework will not be accepted.
 

Quiz Policy: In class quizzes will be given at the instructor's discretion. No makeup quizzes will be given.
 

Classification of second-order partial differential equations. Derivation of the Heat Equation. Sec. 1.1-1.5

Homework Assignment 1

Separation of variables for the Heat Equation. Sec. 2.1-2.3

Homework Assignment 2

Quiz from 1/27

Quiz from 1/29

Separation of variables continued. Laplace's Equation. Sec. 2.3-2.5

Homework Assignment 3

Fourier series. Sec. 3.1-3.5

Homework Assignment 4

Review. Exam 1 (02/19/04)

Derivation of the Wave Equation. Sec. 4.1-4.4

Homework Assignment 5

Sturm-Liouville Problem. Sec. 5.1-5.4

Homework Assignment 6

Sturm-Liouville Problem continued. Sec. 5.6, 5.8

Higher-dimensional PDEs. Separation of variables in rectangular regions. Sec. 7.1-7.3

Homework Assignment 7

Review. Exam 2 (04/01/04)

Higher-dimensional PDEs. Separation of variables in circular, cylindrical and spherical regions. Sec. 7.7, 7.9

Homework Assignment 8

Fourier Transform methods. Heat Equation on an infinite domain. Sec. 10.1-10.4

Fourier Transform methods continued. Wave Equation and Laplace's Equation on an infinite domain. Sec. 10.6

Homework Assignment 9

Overview of the numerical methods for PDEs. Sec. 6.1-6.3
Review

Practice problems for the final

Departmental Policies:

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 other students and should be avoided.

Makeup Exam Policy: There will be no makeup exams, except in rare situations where the student has a legitimate reason for missing an exam, including illness, death in the family, accident, requirement to appear in court, etc. The student must notify the Math office and the Instructor that he/she will miss an exam. In all cases, the student must present proof for missing the exam, e.g., a doctor's note, police report, court notice, etc., clearly stating the date AND times.

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

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 form 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.