Office: HA 2052. Goals and Objectives:
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
MA 501 is an introduction to the methods of solution for ordinary and partial differential equations. Students will3. Textbook:
- develop an understanding of the methods and the extent to which they can be applied.
- develop their calculation skills in solving partial differential equations.
Advanced Engineering Mathematics, Sixth Edition, by Peter V. O'Neil. Price $119.4. 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.7. Determination of grades: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.
Weight | Category of Assignment |
---|---|
|
Homework |
|
Test 1 |
|
Test 2 |
|
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)10. Course Prerequisites / Restrictive Statements:In addition, the following clarifications are used in this course: Excused absences are required for making up a missed test.
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:
None14. Statement on "pass-through" charges e.g. , lane rental at bowling alley, field trip costs, etc.:
NoneFurther 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 |
||