Math 401 Applied Differential
Equations II Spring, 2013
1:30 - 2:45 pm; Room: POE 517.
515-3298 Email: email@example.com
p.m., and by
Differential Equations with Fourier Series and Boundary Value
Grading and Exams:
1. Weekly Homework Assignments (10% of
final grade) due Tuesdays.
2. Two in-class exams (25% each).
Tentative Dates: Tuesday, February 26th; Thursday, April
3. Final exam (40%): Tuesday, May 7th, 1-4 p.m.
Basic Grading Scale:
80%-89%: B, etc. (+ and - will also be used.)
download from MAC by control-click
Maple code for Fourier series
Convergence of Fourier Series
Introduction to Partial Differential Equations (PDEs)
Separation of Variables
One-dimensional Wave Equation:
MAPLE code for initial
One-dimensional Heat Equation
Higher Dimensional Equations and Laplace’s Equation
MAPLE code for 2-dim wave equation.
MAPLE code for Bessel
ODEs: power series solutions
PDEs in Polar Coordinates
PDEs in Spherical Coordinates
Objectives: Math 401 is an
introduction to series solutions of PDEs. At the end of the course you
will be able to solve initial boundary value problems for various PDEs,
and will have the techniques for solving a large class of linear PDEs
using Fourier series and separation of variables. The mathematics of
this approach is largely centered on issues of convergence of the
Fourier series; we will also examine properties of the solutions that
can be deduced from the series, and the interpretation of solutions in
terms of the physical processes modeled by the PDEs.
1. I encourage you to discuss homework with other students, or
office hours. You should be aware that the homework is intended for you
learn from the course; working on homework at least in part on your own
help you master the material, keep up with the course and prepare for
Homework will be graded on a scale of 1-10. Points will be awarded for
of homework attempted; selected problems will be graded in detail.
2. I expect you to read sections of the book around the time of
homework from those sections. The book has additional examples and
that you will find helpful. Some test questions may resemble examples
3. You are expected to attend all classes on time. Classroom discussion
questions in class help clarify issues in this course, so please feel
participate by asking questions.
4. Arriving late for a class or leaving early is very disruptive of
you need to leave early, please let me know at the beginning of class,
near the door so you can slip out quietly.
5. If you are unavoidably
absent from a test, a score for that test
will be assessed at the end of the
semester, based on your performance in homework, the other tests, and
on the final, with an emphasis on
the material of the missed test.
Attendance regulations can be found at http://www.ncsu.edu/policies/academic_affairs/courses_undergrad/REG02.20.3.php
Integrity Statement: Students are expected to follow university
policies on academic integrity and the Honor Pledge, which may be
viewed by following the links at: http://www.ncsu.edu/policies/academic_affairs/courses_undergrad/REG02.20.7.php
Reasonable accommodations will be
students with verifiable disabilities. In order to take advantage of
available accommodations, 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)
no pass through
for this course, such as field trip
Statement on laboratory safety or risk assumption in courses requiring
activity or field trips: None