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MATH 690 Course Syllabus
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 690-001: Advanced Applied Mathematics III: Partial Differential Equations
FALL 2009
Textbook: There is no required textbook for this class. The following texts can be used as references:
▪ Equations of Mathematical Physics, by V. S. Vladimirov (on reserve in library).
▪ Partial Differential Equations, by J. Kevorkian.
▪ Boundary Value Problems of Mathematical Physics, by I. Stakgold.
Prerequisites: Math 222 with a grade of C or better.
Grading Policy: The final grade in this course will be determined as follows:
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▪ Homework: |
50% |
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▪ Midterm Exam: |
20% |
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▪ Final Exam: |
30% |
Drop Date: Please note that the University Drop Date November 2, 2009 deadline will be strictly enforced.
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 Instructors 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.
| M |
Labor Day Holiday ~ University Closed |
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| M |
Last Day to Withdraw from this course |
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| T |
Classes follow a Thursday Schedule |
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November 25, 2009 |
W |
Classes follow a Friday Schedule |
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November 26-29, 2009 |
R-Su |
Thanksgiving Recess ~ University Closed |
Course Outline:
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Week |
Topics |
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1 |
▪ |
Equations of mathematical physics. Classification of second order quasilinear PDEs. |
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2 |
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Distributions in R^N. Convolutions. |
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3 |
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Tempered distributions. Fourier transform. |
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4 |
▪ |
Fundamental solution. Heat and Laplace's operators. |
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5 |
▪ |
Wave potential. Helmholtz operator. |
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6 |
▪ |
Wave propagation. |
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7 |
└► |
MIDTERM EXAM: October 2009 |
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8 |
▪ |
Initial value problem for the heat equation. |
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9 |
▪ |
Elliptic boundary value problems. |
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10 |
└► |
(Mon. Nov. 2) Last Day to Withdraw from this course |
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▪ |
Bessel functions. |
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11 |
▪ |
Spherical functions. |
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12 |
▪ |
Separation of variables for eigenvalue problems. |
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13 |
▪ |
Boundary value problems for Laplace's and Poisson's equation. Newtonian potential. |
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└► |
(Tues. Nov. 24) Classes follow a Thursday schedule |
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└► |
(Thurs.-Sun. Nov. 26-29) Thanksgiving Recess ~ University Closed |
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14 |
▪ |
Initial-boundary value problems. |
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15 |
└► |
REVIEW FOR FINAL EXAM |
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Finals |
FINAL EXAM Week: December 11-17, 2009 |
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Prepared By: Prof. Cyrill Muratov
Last revised: August 3, 2009