MATH 722 Course Syllabus - fall 2011

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 that 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.

 

Math 722:  Wave Propagation

 

Number of Credits:  3

 

Course Description:  Derivation of linear wave equations describing acoustic, electromagnetic, elastodynamic and hydrodynamic phenomena. Fundamental solutions and their application to initial value problems. Applications and solution of boundary value problems using Green's functions, image and spectral methods. Related time harmonic problems, including radiation, scattering, diffraction and transmission phenomena. Dispersive waves and the method of stationary phase. Linear waves in anisotropic media. Effective From: Fall 2006.

 

Prerequisites:  Departmental approval. Students will be expected to be familiar with classification of partial differential equations, integration in the complex plane, and transform techniques.

Textbook:  Wave motion, J. Billingham, A. C. King, Cambridge University Press, 2000

 

Instructor:   (for specific course-related information, follow the link below)

 

Math 722-001

Prof. Goodman

 

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

Homework:

40%

Midterm Exam:

20% Each

Final Exam:

20%

 

Drop Date:  Please note that the University Drop Date November 3, 2011 deadline will be strictly enforced.

Homework: There will be four homework problem sets, each worth 10% of your grade.  Assignments and solutions will be posted on the professor’s website.

Exams:  There will be one midterm exam during the semester and one comprehensive final exam during the final exam period.

Midterm Exam I:

October 12 , 2011

Midterm Exam II:

November 14 or 16 , 2011

Final Exam Week:

December 14-20, 2011 


Attendance:
  is encouraged.

Makeup Exam Policy:  There will be No make-up 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.

Further Assistance:  For further questions, students should contact their Instructor. All Instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.

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 5, 2011

M

Labor Day Holiday ~ University Closed

November 3, 2011

R

Last Day to Withdraw from this course

November 24-27, 2011

R-Su

Thanksgiving Recess ~ University Closed


 

Course Outline:

Topics Covered:  We will spend about 2/3 of our time on linear wave phenomena and 1/3 on nonlinear waves.  Topics will be drawn from the textbook and possibly supplemented by outside material and will include mathematical and asymptotic methods for dispersive and hyperbolic waves and possibly reaction-diffusion equations, with application to waves in water and other fluids, acoustic waves, elastic waves, and electromagnetic waves.

 

 

 

Prepared By:  Prof. Roy Goodman

Last revised:  July 27, 2011

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