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 any form of cheating in quizzes and exams. Under the Honor Code, students are obligated to report any such activities to the Instructor.
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Instructor: Prof.
Matveev
◘
Textbook: Applied Partial Differential
Equations by Richard Haberman (4th
ed.) Pearson Prentice-Hall, ISBN:
0130652431
◘
Grading Policy: The final grade in
this course will be determined as follows:
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• Quizzes & Homework: |
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25% |
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• MATLAB Projects: |
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10% |
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• Midterm Exam: |
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30% |
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• Final Exam: |
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35% |
Please note that the University Drop Date November 3, 2008 deadline will be strictly enforced.
◘ Quiz Policy: Quizzes will be given weekly, covering the material from the homework. The NJIT Honor Code applies to all quizzes, and will be strictly enforced.
◘
Homework Policy: Homework will be assigned, but will be collected and graded
only occasionally, on days specified by the instructor. However, students are strongly
advised to do their homework even when it is not collected, since homework is
essential to the learning process. The Quizzes will be designed to test the homework
performance.
◘ Projects: Two MATLAB assignments will be given, to help you visualize (and make sense of) the solutions you will be calculating. If you prefer, you can use Mathematica or Maple instead of MATLAB. No collective work is allowed on any of the assignments.
◘ Makeup Exam Policy: No makeup exams are given in accordance with the policy of the Department of Mathematical Sciences.
◘ Attendance and Participation: On-time attendance and full participation in class is expected of every student. Cell phones and similar devices must be silenced.
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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.
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September
1, 2008 |
M |
Labor Day ~ No Classes Scheduled |
|
November
3, 2008 |
M |
Last Day to Withdraw from Classes |
|
November
25, 2008 |
T |
Classes Follow a Thursday Schedule |
|
November
26, 2008 |
W |
Classes Follow a Friday Schedule |
|
November
27-28, 2008 |
R-F |
Thanksgiving Recess ~ No Classes Scheduled |
Course Outline and Homework Assignments:
|
Lecture |
Date |
Sections |
Lecture Title or Activity |
|
1 |
9/3 |
1.1-1.2 |
Heat Equation: 1D Derivation |
|
2 |
9/8 |
1.3 |
Heat Equation: Boundary Conditions |
|
3 |
9/10 |
1.4 |
Heat Equation: Steady-State |
|
4 |
9/15 |
1.5 |
Heat Equation: Higher Dimensions |
|
5 |
9/17 |
2.1-2.3 |
Heat Equation: 1D Solution I |
|
6 |
9/22 |
2.4 |
Heat Equation: 1D Solution II |
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7 |
9/24 |
2.5 |
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8 |
9/29 |
3.1-3.3 |
Fourier Series: Convergence |
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9 |
10/1 |
3.4-3.6 |
Fourier Series: Term-by-term Operations |
|
10 |
10/6 |
4.1-4.3 |
Wave Equation: 1D Derivation |
|
11 |
10/8 |
4.3-4.4 |
Wave Equation: Vibrating String |
|
12 |
10/13 |
Review
for |
Midterm Exam |
|
13 |
10/15 |
◄ midterm |
EXAM:
CHAPTERS 1-4 ► |
|
14 |
10/20 |
5.1-5.2 |
Sturm-Liouville Problems: Examples |
|
15 |
10/22 |
5.3 |
Sturm-Liouville Problems: Theory |
|
16 |
10/27 |
5.4 |
Sturm-Liouville Problems:
Application to Heat Equation |
|
17 |
10/29 |
5.5 |
Sturm-Liouville Problems: Self-Adjointness |
|
18 |
11/3 |
◘ NOVEMBER 3, 2008: (M) LAST DAY TO WITHDRAW FROM THIS COURSE |
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|
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5.6 |
Sturm-Liouville Problems: Rayleigh
Quotient |
|
19 |
11/5 |
5.7 |
Sturm-Liouville Problems:
Application to Wave Equation |
|
20 |
11/10 |
5.8 |
Sturm-Liouville Problems: Mixed
Boundary Conditions |
|
21 |
11/12 |
7.1-7.2 |
Dynamic PDE’s in Two Spatial
Dimensions |
|
22 |
11/17 |
7.3 |
Vibration of a Rectangular Membrane |
|
23 |
11/19 |
7.7 |
Vibration of a Circular Membrane |
|
24 |
11/24 |
10.1-10.2 |
Heat Equation on the Line |
|
No Class |
11/26 |
◘ NOVEMBER 25-26, 2008: (T-W) Classes Follow a Thursday and Friday Schedule ◘ NOVEMBER 27-28, 2008: (R-F) Thanksgiving Recess ~ No Classes Scheduled |
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25 |
12/1 |
10.3-10.4 |
Heat Equation on the Line: Solution by Fourier Transform |
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26 |
12/3 |
10.5 |
Heat Equation on a Half-Line |
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27 |
12/8 |
10.6 |
Fourier Transform: Applications |
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28 |
12/10 |
•
REVIEW FOR
FINAL EXAM |
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Finals |
FINAL EXAM Week:
December 15-19, 2008 |
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Prepared By: Prof. Victor Matveev
Last revised: September 2, 2008