MA
341 (006): Applied Differential Equations
Spring
2012
Section 6, MWF 12:25-1:15pm, HA 272
Instructor: Leslie Kurtz (
lakurtz@ncsu.edu )
Office: SAS Hall, Room 3240
Office Hours: MTWH 9:00-10:00am or by
appointment
Class Web Page: http://www4.ncsu.edu/~lakurtz/ Test
solutions and helpful worksheets
Prerequisites:
MA 242 or (MA 132 and MA 231), or equivalent.
Content: Differential equations and systems of differential equations. Methods
for solving ordinary differential equations including Laplace transforms, phase
plane analysis, and numerical methods. Matrix techniques for systems of linear
ordinary differential equations.
Textbook: Nagle, Saff,
and Snider, Fundamentals of Differential
Equations and Boundary Value Problems, 6th Edition (If you have
the 5th Edition that is fine).
Grade
Calculation:
|
Homework/Quizzes 10% |
|
Tests 55% |
|
Final Exam 35% |
Grading Scale: The final grade will be
assigned using the plus/minus grading system
|
A+: 98-100 |
A: 93-97.99 |
A-: 90-92.99 |
|
B+: 88-89.99 |
B: 83-87.99 |
B-: 80-82.99 |
|
C+: 78-79.99 |
C: 73-77.99 |
C-: 70-72.99 |
|
D+: 68-69.99 |
D: 63-67.99 |
D-: 60-62.99 |
Tests:
Three tests will be given throughout the semester. ** Each
student is required to turn in 4 blue Examination booklets before February 3. Students
who fail to do so will lose 5 points on Test 1. After Test 1, students who have not
brought blue books will continue to lose 5 points on each test/exam until they
bring them in. . Do not write
anything on the books. Blue books
can be purchased at the bookstore.**
The
test dates are as follows :
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Test 1: Monday, Feb 6 |
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Test 2: Monday, Mar 19 |
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Test 3: Monday, Apr 16 |
Final: The final will be given on Friday
May 4, 1-4PM
Make-Up Test
Policy: All
anticipated absences must be excused in
advance of the test date and a make-up test scheduled if possible in
advance of the absence. These
include University duties or trips (certified by an appropriate faculty or
staff member), required court attendance (certified by the Clerk of Court), or
religious observances (certified by the Department of Student Development:
515-2441). Emergency absences must
be reported within one week of returning to class and must be appropriately
documented (illness by an attending physician or family emergencies by Student
Development). No other make-ups
will be given. It is not wise to
miss a test.
Attendance: Attendance will be recorded
daily, with no distinction made between excused and unexcused absences, except
in the event of a missed test. You
are expected to arrive on time to class.
Any student who is not an active class participant the full class period
(e.g., doing other work in class, socializing, sleeping, text messaging,
leaving early) is recorded as absent. If you miss no more than 3 days AND
attend every test, I will replace your lowest test grade with your final exam
grade (assuming it is higher).
Please note: If you get a zero on a test because of cheating, your test
will NOT be replaced.
If
you miss class or are late, you are still responsible for all material covered
and assignments due. The university attendance policy can be found at:
http://www.ncsu.edu/policies/academic_affairs/courses_undergrad/REG02.20.3.php
Homework: There will be both paper
assignments to turn in as well as WeBWork.
WeBWork is an online homework system
similar to Webassign, except that currently it is
free. You can access WeBWork here: http://webwork.math.ncsu.edu/webwork2/
Academic
Integrity: I assume that anything turned in with
your name on it is your own work.
Each time you submit a test, homework, quiz, WebWork
or extra credit assignment, you affirm the honor pledge, ÒI have neither
received unauthorized aid nor given aid on this assignment.Ó The minimum penalty for cheating is a
grade of zero on the assignment; violators may be reported to the Academic
Integrity Review Board, which can impose additional sanctions. The code of
student conduct can be found at:
http://www.ncsu.edu/policies/student_services/student_discipline/POL11.35.1.php
Multimedia
Center: The
math departmentÕs multimedia center is located in SAS Hall 2105. Videotapes and DVDs of lectures for this
course from previous semesters are available for viewing. These lectures are also available online
http://www.math.ncsu.edu/mmc/ma341lectures.php Additionally, free tutoring from
mathematics graduate students is available; no appointment is necessary.
Disability
Services:
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 2751 Cates Ave, third floor, First Year College Commons.
http://www.ncsu.edu/dso/
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Tentative Class Schedule |
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Dates |
Section & Topics |
Comments |
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Monday, Jan 9 |
1.1 |
Background |
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Wednesday, Jan 11 |
1.2 |
Solutions & IVPs |
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Friday, Jan 13 |
1.3 & Supplement on Phase Lines |
Direction Fields |
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Monday, Jan 16 |
NO CLASS |
MLK Day |
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Wednesday, Jan 18 |
2.2, 2.3 |
Separable Equations, First Order Linear |
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Friday, Jan 20 |
2.3 cont, 2.4 |
Exact Equations |
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Monday, Jan 23 |
2.4 cont |
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Wednesday, Jan 25 |
3.2-3.4 |
Select Applications |
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Friday, Jan 27 |
3.2-3.4 |
Select Applications |
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Monday, Jan 30 |
4.2 |
2nd Order Linear Homogeneous Equations |
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Wednesday, Feb 1 |
4.2 cont, 4.3 |
Complex Roots |
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Friday, Feb 3 |
4.3 cont, Review |
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Monday, Feb 6 |
Test 1 |
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Wednesday, Feb 8 |
4.4 |
Undetermined Coefficients |
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Friday, Feb 10 |
4.5 |
Superposition |
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Monday, Feb 13 |
4.6 |
Variation of Parameters |
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Wednesday, Feb 15 |
4.9, 4.10 |
Mechanical Vibrations |
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Friday, Feb 17 |
4.10 cont |
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Monday, Feb 20 |
7.2 |
Laplace Transforms-Definitions |
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Wednesday, Feb 22 |
7.3 |
Laplace Transforms Properties |
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Friday, Feb 24 |
7.4 |
Inverse Transforms |
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Monday, Feb 27 |
7.4 cont |
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Wednesday, Feb 29 |
7.5 |
Solving IVPs |
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Friday, Mar 2 |
7.6 |
Discontinuous & Periodic Functions |
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Mar 5-9 |
NO CLASS |
Spring Break |
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Monday, Mar 12 |
7.6 cont. |
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Wednesday, Mar 14 |
7.7 (time permitting) |
Convolution |
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Friday, Mar 16 |
9.1-9.3, Review |
Linear Algebra, Matrices & Vectors |
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Monday, Mar 19 |
Test 2 |
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Wednesday, Mar 21 |
9.3 cont. |
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Friday, Mar 23 |
9.4 |
Linear Systems in Normal Form |
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Monday, Mar 26 |
9.5 |
Homogeneous Systems
with Constant Coefficients |
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Wednesday, Mar 28 |
9.5 cont |
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Friday, Mar 30 |
9.6 |
Complex Eigenvalues |
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|
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Monday, Apr 2 |
9.7 |
Nonhomogeneous Systems |
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Wednesday, Apr 4 |
Applications |
Interconnected Tanks |
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Friday, Apr 6 |
NO CLASS |
Spring Holiday |
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Monday, Apr 9 |
Applications |
Coupled Mass-Spring Systems (time permitting) |
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Wednesday, Apr 11 |
5.4 |
Phase Plane |
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Friday, Apr 13 |
5.4 cont, Review |
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Monday, Apr 16 |
Test 3 |
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Wednesday, Apr 18 |
12.2 |
Linear Systems in the Plane |
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Friday, Apr 20 |
12.2 cont |
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Monday, Apr 23 |
12.3 |
Almost Linear Systems |
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Wednesday, Apr 25 |
12.3 cont |
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Friday, Apr 27 |
Review |
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Friday, May 4 |
FINAL EXAM |
1-4PM |