Syllabus for MA  501, Spring 2007

1.    Instructor:  J. E. Franke
Office:  HA 205
Office Hours:  9:00 - 10:00  MWF, 1:15 - 2:00 Tues/Th or by appointment
Phone Number:  515-2381
E-mail address:  franke@math.ncsu.edu
Homepage:  http://www.math.ncsu.edu/~franke
2. Goals and Objectives:
 MA 501 is an introduction to the methods of solution for ordinary and partial differential equations. Students will
3. Textbook:
Advanced Engineering Mathematics, Sixth Edition, by Peter V. O'Neil.  Price $119.
 
4. Topics:
 
     SECTIONS                 TOPICS

1          1.3,2.2-2.6                   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

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


 
 
 
 
 
 

5. Tentative schedule of reading assignments
 

Read the sections to be covered for the week.
6. Tentative schedule of homework due dates, quizzes and tests
Homework will be worked on in groups to be turned in on Fridays.  

There will be two Tests, scheduled depending on class progress.

The final is on Tuesday, May 1 at 8:00 am. It is a 3 hour test.

7. Determination of grades:

Weight Category of Assignment
15 %
Homework
 25 % 
Test 1
 25 % 
Test 2
 35 % 
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 

 

8. Policy on incomplete grades and late assignments:
Late homework assignments will not be graded.

The policy on incomplete grades is consistent with Grading Policies in Chapter 5 of the Handbook on Advising at
http://www.ncsu.edu/provost/academic_policies/grading/reg.htm


 

9. Policy on absences (excused and unexcused) and scheduling makeup work:

The attendance policy is consistent with the Academic Regulations which can be found at http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_regulations/attend/reg.htm (link)

In addition, the following clarifications are used in this course:  Excused absences are required for making up a missed test.

10. Course Prerequisites / Restrictive Statements:

        MA 341.
        More information is available at : http://www2.acs.ncsu.edu/reg_records/crs_cat/MA.html (link)

11. Academic Integrity Statement:

Students are expected to follow university guidelines available at http://www.ncsu.edu/provost/academic_regulations/integrity/reg.htm (link)
12. NC State policy on working with students with disabilities:
Reasonable accommodations will be made for students with verifiable disabilities.  In order to take advantage of available accomodations, students must register with Disability Services for Students at 1900 Student Health Center, Campus Box 7509, 515-7653.  For more information on NC State's policy on working with students with disabilities, please see the Academic Accommodations for Students with Disabilities Regulation (REG02.20.1)  Information can be found at http://www2.ncsu.edu/ncsu/stud_affairs/counseling_center/dss/ (link)
13. Statement on laboratory safety or risk assumption in courses requiring physical activity or field trips:
None
14. Statement on "pass-through" charges e.g. , lane rental at bowling alley, field trip costs, etc.:
None
Further Information:
NCSU Academic Regulations can be found at http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_policies/ (link)

15.  Homework
Problems to turn in
to look at
Due date
P. 26 # 14, 17
P. 69 #4
P. 72 #4
1,5,11
1/18
P. 77 #20
P. 81 #6
P. 93 # 22, 32
P. 160 # 6
P. 166 # 10
p. 81 # 1, 9
p. 93 # 5, 13, 21, 41
p. 160 #5
p. 166 # 5
1/25
P. 173 # 4, 6, 11, 14
P. 180 # 7, 8, 11,  12,

2/1
P. 593 # 6, 8

P 593 # 11, 13

2/8
P. 609 # 4, 6, 12
P. 614 # 6, 13
P 609 # 1, 11 2/15
P. 623 # 2, 3
P. 640 # 4, 8, 10
P. 642 # 6
P. 623 # 4, 5
2/ 22
P. 652 # 4, 10, 15, 19, 23
P. 669 # 1, 3, 5, 7, 9, 11, 13

Make sure you can
do before the test.
P 672 # 4, 7

2/15
P. 718 # 2, 11, 13, 17
P. 744 # 1, 5, 13, 21, 28b
P. 718 # 3, 5, 7
P. 744 # 19, 23, 25, 29b
3/22
P. 765 # 2, 4, 8, 12, 16, 18

3/29
P. 785 # 2, 3
P. 806 # 6, 8, 9, 10, 13
P. 806 # 2, 4, 5, 7, 12
4/5
P. 821 # 4, 8 Do not do the Fourier Transform Method
P. 830 # 2
P. 834 # 2
P. 821 # 3, 10
P. 830 # 3
P. 834 # 1
4/12

P. 83 7 # 1
P. 840 # 1, 3
P. 844 # 3
P. 863 # 1, 7, 11, 13, 15
P. 883 # 1, 5, 7
P. 898 # 1, 3
P. 901 # 1, 5, 7