Office Hours: From 8 to 5 except MW 3:35 to 5:25, and lunch time and, unscheduled meetings
E-mail address: charlton@ncsu.edu
Office: SAS 2107
Phone Number: 919.513.2291
This course does not satisfy the Math GER.
Goal: Starting with the series solutions of DEs to develop and apply
classical mathematical methods to the solution of PDEs such as the Wave, Heat,
and
Learning outcomes: The students will demonstrate through daily homework and test work that they know the theory and can apply it to the solution of the problems as outlined in the topics listed in section F below.
A fourteen division of topics corresponding to 42 days of classes are as follows (for a detailed schedule see section G).
SECTIONS TOPICS
1 1.3, 2.2, 2.4-2.6 Review of DEs
2 2.6, 4.1-4.3 Review of power series
solution of DEs, method of Frobenius
3 4.3-4.4, 14.1-14.2 Method of Frobenius, Fourier series of a
function
4 14.2, 14.3 Convergence of the Fourier
series
5 14.4-14.5, 15.1-15.2 Fourier sine and cosine series
6 15.3, 15.4 Fourier integral and Fourier
transform
7 15.5-15.6, 16.1 Fourier cosine and sine transforms
and Fourier finite transform
8 16.1, 16.2 Legendre polynomials and
Bessel functions
TAKE HOME MIDTERM TEST OVER THE WEEKEND OF October 10th
9 16.2, 16.3 Strum-Louiville theory and
eigenfunction expansions
10 16.3, 17.1-17.2 Fourier series solution of the Wave
equation
11 17.2-17.4 Wave motion along an
unbounded string and d’Alembert’s solution
12 17.4-17.7, 18.1-18.2 Vibration of membranes and heat equation
13 18.2-18.3 Heat equation and
conduction in infinite medium
14 18.3-18.5, 19.1-19.8 Heat conduction in cylinders, Dirichlet and Neuman problems
16.
(Homework assigned in a week is due the Wednesday of the following week.)
Please watch for changes and corrections in the
assignments
Dates
section homework
Week
of Aug 19 1.3 pg. 26:
7, 11
2.2 pg. 69: 3, 13
________________________________________________________________________________________________________________________________________________________________________
Week of Aug 23
2.4 pg. 77: 7, 15
2.5 pg. 81: 11, 15
2.6 pg. 93: 5, 13, 29
__________________________________________________________________________________________________________________________________________________________________________
Week of Aug 30 4.1 pg. 160: 7, 13
4.2 pg. 165: 5, 11
__________________________________________________________________________________________________________________________________________________________________________
Week of Sep 06 4.3 pg.
173: 1, 3, 5, 7
4.4 pg. 180: 1, 3, 11
14.2 pg. 592: 1, 5, 7
Week of Sep 13 14.3 pg. 609: 5, 9
..........................14.4 pg. 614:5, 7, 11
` ` ` ` ` ` ` ` ` ` ` 14.5 pg. 623: 3, 5
_____________________________________________________________________________________________________________________________________________________________________________
Week of Sep 20 15.1
pg. 640: 1,9
15.2 pg. 642: 1,
7
15.3 pg. 652: 1, 13, 21
_____________________________________________________________________________________________________________________________________________________________________________________
Week of Sep 27 15.4 pg. 669: 5, 9, 13
15.5 pg. 672: 5
15.6 pg. 674: 7, 11
____________________________________________________________________________________________________________________________________________________________________________________
Week of Oct 04 16.1 pg. 718: 3, 7, 13
16.2 pg. 744: 3, 11, 25
____________________________________________________________________________________________________________________________________________________________________________________
TAKE HOME MIDTERM
TEST OVER THE WEEKEND OF October 9TH THROUGH
15.6. MA 501-601 STUDENTS SHOULD ARRANGE WITH ENGINEERING ONLINE TO
TAKE THE TEST AS CLOSE TO THS DATE AS POSSIBLE. PLEASE SUBMITT BY October 13TH.
________________________________________________________
Week of Oct 11 16.3 pg. 765: 3, 8
17.1 pg.785: 3
_ ______________ 17.2 pg. 806: 1, 5, 11
_______________________________________________________________________________________________________________________________________________________________________________________________________________________
Week of Oct 18 17.3 pg. 821: 1, 3, 7, 9, 11, 13
17.4 pg. 830: 5,
17.5 pg. 834: 1 (light), a(1), a(2), a(3) graph if you have the capability
_______________________________________________________________________________________________________________________________________________________________________________________________________
Week of Oct 25 17.6 pg. 837: 1 (light), (a) Solve the
g(r,theta) zero case and (b)
setup the coefficients in the f(r,theta)
zero case with g(r,theta)=theta.
17.7 pg. 840:
3, this is the non-zero velocity non-zero case.
_______________________________________________________________________________________________________________________________________________________________________________
Week of Nov 01 18.2 pg. 863: 1, 5, 15, 17, 19. For 17 use
the substitution
u(x,t)=w(x,t)*exp(-at) and choose
the a so as to eliminate the
w(x,t) term from the
resulting heat equation.
18.3
pg. 873: 1, 7, 9
`` ````````````````` 18.4 pg. 877: 1
______________________________________________________________________________________________________________________________________________________________________________
Week of Nov 08 18.5 pg. 878: 1
19.2
pg. 883: 3
19.3 pg. 886: 5, 11
Week of Nov 15 19.4 pg. 888: 1
19.5 pg. 895: 3
19.6 pg. 898: 1
________________________________________________________________________________________________________________________________________________________________________________
Week of Nov 22 19.7 pg. 902: 7
19.8 pg. 908: 1, 7, 9
________________________________________________________________________________________________________________________________________________________________________________
EOL MA 501-601
EXAM BETWEEN December 9 th AND December 14th INCLUSIVELY: OPEN TEXT BOOK AND
LECTURE NOTES. BEGINNING WITH RESULTS IN
THE TEXT PLEASE SHOW ALL STEPS IN THE SOLUTIONS.
The EOL exam is to be a three-hour proctored exam. Please arrange with the Engineering Online Office for a time and proctor. WORK IS TO BE SUBMITTED BY 5 PM December 15th. The exam is comprehensive except there sill be no method
of Frobenius problem.
H. Projected
Schedule of Homework, Quizzes, and Exams
See G.
|
Weight |
Category of
Assignment |
|
1/3 |
Midterm |
|
1/3 |
Homework |
|
1/3 |
Final Examination |
|
Range |
Grade |
|
97.6 <= X <= 100 |
A+ |
|
92.3 <= X < 97.6 |
A |
|
90.0 <= X < 92.3 |
A- |
|
87.6 <= X < 90.0 |
B+ |
|
82.3 <= X < 87.6 |
B |
|
80.0 <= X < 82.3 |
B- |
|
77.6 <= X < 80.0 |
C+ |
|
72.3 <= X < 77.6 |
C |
|
70.0 <= X < 72.3 |
C- |
|
67.6 <= X < 70.0 |
D+ |
|
62.3 <= X < 67.6 |
D |
|
60.0 <= X < 62.3 |
D- |
|
X < 60 |
F |
As this is a graduate EOL course late assignments are accepted within reason upon discussing the reasons with the instructor (email is sufficient).
All work must be completed for a grade. No attendance policy.
Students are required to follow NCSU policy "Academic dishonesty is the giving, taking, or presenting of information or material by a student that unethically or fraudulently aids oneself or another on any work which is to be considered in the determination of a grade or the completion of academic requirements or the enhancement of that student's record or academic career." (NCSU Code of Student Conduct)
The Student Affairs web site has more information (http://www.ncsu.edu/student_affairs/osc/AIpage/acaintegrity.html).
"I have neither given nor received unauthorized aid on this test or assignment."
This has been outlined above
Reasonable accommodations will be made for students with
verifiable disabilities. In order to take advantage of available
accommodations, students must register with Disability
Services for Students at 1900
NA
There are no charges or fees beyond the purchase of your textbook. Maple, Mathematicae, MatLab, or MathCAD are very useful though not necessary.
There are no field trips for this course.
NCSU Academic Regulations can be found at http://www.ncsu.edu/policies/index.phb