Fall 2010 Course
Syllabus: Math
331-001
|
Course Title: |
|
|
Textbook: |
Applied Partial Differential Equations by Richard Haberman (4th Ed) Pearson Prentice-Hall, ISBN: 0130652431 |
|
Prerequisites: |
(Math 211 or
Math 213) and Math 222 with a grade of C or higher |
|
Website: |
http://web.njit.edu/~matveev/Courses/M331_F10/ |
|
Course Outline |
|||
|
Lecture |
Sections |
Topic |
Assignment |
|
1 (8-30) |
3.1-3.3 |
Intro to PDEs; Review:
ODEs, Calculus III, Fourier Series |
Assigned in class |
|
2 (8-31) |
3.4-3.6 |
Fourier Series;
Term-by-term Operations |
Assigned in class |
|
3 (9-7) |
1.2 |
Heat Equation: 1D
Derivation |
S1.2: 3,5,9 |
|
4 (9-13) |
1.3 |
Heat Equation: Boundary
Conditions |
S1.3: 1,2 |
|
5 (9-14) |
1.4 |
Heat Equation:
Equilibrium temperature Distribution |
S1.4: 1, 3, 7, 10,
11 |
|
6 (9-20) |
1.5 |
Heat Equation:
Higher Dimensions |
S1.5:
5,9,10,11,12,13 |
|
7 (9-21) |
2.1-2.3 |
Heat Equation: 1D
Solution I |
S2.2: 2; S2.3: 1, 2, 3, 8,
|
|
8 (9-27) |
2.4 |
Heat Equation: 1D
Solution II |
S2.4: 1, 3, 4 |
|
9 (9-28) |
2.5 |
Laplace’s Equation:
Solution |
S2.5: 1, 3, 5(b,c),
7, 8(b),15(a,c) |
|
10 (10-4) |
4.1-4.3 |
Wave Equation: 1D
Derivation |
S4.2: 1; S4.3: 1,
2 |
|
11 (10-5) |
4.4 |
Wave Equation:
Vibrating String |
S4.4: 1, 2, 3,
5 |
|
12
(10-11) |
Exam Review |
||
|
13
(10-12) |
Midterm Examination |
||
|
14 (10-18) |
5.1-5.3 |
Sturm-Liouville Problems |
S5.3: 4, 8, 9 |
|
15 (10-19) |
5.4 |
Sturm-Liouville Problem
: Heat Flow in Nonuniform Rod |
S5.4: 1, 2, 3 |
|
16 (10-25) |
5.5 |
Sturm-Liouville
Problems: Self-Adjointness |
S5.5: 1(d), 8, 9 |
|
17 (10-26) |
5.6 |
Sturm-Liouville
Problems: Rayleigh Quotient |
S5.6: 1, 2 |
|
11-1 |
Last Day to Withdraw |
||
|
18 (11-1) |
5.7 |
Sturm-Liouville
Problems: Application to Wave Equation |
S5.7: 1 |
|
19 (11-2) |
5.8 |
Sturm-Liouville
Problems: Mixed Boundary Conditions |
S5.8: 5, 6, 7 |
|
20 (11-8) |
6.1-6.3.4 |
Finite Difference
Numerical Methods for PDEs |
S6.2: 1,2,3,4; S6.3:1 |
|
21 (11-9) |
7.1-7.3 |
PDE’s in 2D: Vibration
of a Rectangular Membrane |
S7.3: 1, 3, 4 |
|
22 (11-15) |
7.7 |
Vibration of a
Circular Membrane |
S7.7: 4, 9, 10 |
|
23 (11-16) |
7.8 |
More on Bessel
Functions |
S7.8: 5, 8 |
|
24 (11-22) |
8.1-8.2 |
Heat Flow with Non-homogeneous Boundary Conditions |
Assigned in class |
|
25 (11-23) |
8.3 |
Nonhomogeneous Problems: Eigenfunction Expansion |
S8.3: 6 |
|
26 (11-29) |
9.1-9.2 |
Green’s
Functions: 1D Heat Equation |
Assigned in class |
|
27 (11-30) |
9.3 |
Green’s Functions: BVP’s for ODE’s |
Assigned in class |
|
28
(12-6) |
Final Exam Review |
||
|
IMPORTANT DATES |
|
|
FIRST DAY OF SEMESTER |
August 30, 2010 |
|
MIDTERM EXAM |
October 12 |
|
LAST DAY TO WITHDRAW |
November 1, 2010 |
|
LAST DAY OF CLASSES |
December 8, 2010 |
|
FINAL EXAM PERIOD |
December 10 – 16, 2010 |
Grading Policy
|
Assignment Weighting |
|
Tentative Grading Scale |
||
|
Homework & Quiz |
24 % |
|
A |
88 -- 100 |
|
MATLAB |
12 % |
|
B+ |
81 -- 90 |
|
Midterm Exam |
30 % |
|
B |
74 -- 80 |
|
Final Exam |
34 % |
|
C+ |
67 – 73 |
|
|
|
|
C |
60 – 66 |
|
|
D |
54 – 59 |
||
|
F |
0 – 53 |
|||
Course Policies
Email: it is important that you regularly check your NJIT email account for class assignments and announcements from your instructor. Rutgers students should email the instructor their preferred email address at the start of the semester.
Homework and Quizzes: homework assignments listed in the syllabus are tentative. Homework problem sets will be emailed by the instructor after each class. Homework is due on the assigned date; late homework is not accepted. Quizzes are given about once per week on an announced topic.
MATLAB Assignments: Three MATLAB assignments will be given
during the semester; for help with MATLAB see the instructor or MATLAB tutors available
in accordance with a posted schedule.
Attendance: attendance in this class is mandatory.
Important Departmental and University Policies