642:527
METHODS OF APPLIED MATHEMATICS
FALL 2014
Course overview, prerequisites, diagnostic quiz
For general information on these topics please see the main
web page for Math 527.
Basic information for Fall 2014
- Instructor: Professor Eugene Speer
- Hill Center 520
- 848–445–7974
- speer at math.rutgers.edu
- Office hours:
- Monday, 3:30–4:30 PM, Hill 520
- Wednesday, 1:40–3:00 PM, Hill 520
- Thursday, 10:30–11:30 AM, Hill 520
- Or by appointment or chance in Hill 520
- Detailed course information and policies:
As web page and as a PDF file.
- Tentative syllabus:
As web page and as a PDF file.
- Homework assignments and solutions:
Click here for assignments and solutions.
Final exam
The final exam is scheduled for Tuesday, December 16, 8:00–11:00
AM, in LCB 110, our usual classroom.
- The exam is cumulative, covering everything in the course, but will
probably emphasize Chapters 17, 18, 19, and 20, and in particular
material that we have covered since the last exam.
As is clear from the homework assignments, we are covering roughly
17.1–17.8, 17.10, 18.1–18.4, 19.2, 19.4, and 20.2.
- Here is the formula sheet for the
final exam. It consists of the formula sheets for exams 1 and 2, plus
formulas for Sturm-Liouville problems, for the Fourier transform, and for
d'Alembert's solution. You will also be given the tables in the appendices
of our text for the Laplace and Fourier transforms.
- We will hold a problem session Friday, December 12, 1:30–3:30
PM, in SEC 210. Come prepared to ask questions—I won't
have much to say otherwise.
- I will not observe my usual office hours after the end of classes,
but will hold special office hours Monday, December 15, 10:00–11:00
AM and 1:00–2:00 PM.
- Here is a set of practice problems
for your amusement. I would suggest our earlier exams and practice
exams, as well as homework, as additional review material. Here are
brief answers to the probems.
- Note that an additional assignment, Assignment 13, has been posted.
This will not be collected; it is for your own benefit. Solutions will
posted sometime in the week of December 8.
Announcements and supplementary information
Exam 2
The second exam will be held Monday, November 17. It will cover
our work through Monday, November 10, on trajectories in the phase
plane, orthogonal expansions, Fourier series, regular Sturm-Liouville
problems, and the one-dimensional heat equation with homogeneous Dirichlet
and/or Neumann boundary conditions.
- I have posted homework Assignment 11, but it is only for your use in
studying; it will not be collected.
- No calculators are to be used on the exam. I will try to make
sure that all computations are simple.
- Here is formula sheet that will be
distributed with the exam.
- Here is a set of review problems, taken
from previous exams. Here are brief answers to
the review problems; these have not been checked and may contain
errors.
Exam 1
The first exam will be held Monday, October 6. It will cover
all our work on power series solutions of differential equations,
including Legendre's and Bessel's equations, and Laplace transforms.
There is a homework "Assignment," Assignment 5, for the week of October 6,
but it is only for your use in studying; it will not be collected.
- No calculators are to be used on the exam. I will try to make
sure that all computations are simple.
- Here is the formula sheet that will be
distributed with the exam. You will also be given a copy of the table of
Laplace transforms from Appendix C of our text. You may not use any
book, or any notes or formula sheet other than the sheet that will be
provided at the exam.
- Here is a brief set of review problems. In
fact, this is essentially the first exam from Fall 2010.
Here are some short answers to these
problems. (Both problem 7 and its answer were revised 10/3/2014.)
- We will hold a problem/review session on Friday, October
3, 1:40–3:00 P.M., in SEC 210. I won't present any
organized review, but I will answer any questions you may have on the
review problems or anything else in the course.
A set of solutions to Exam 1 has been posted on Sakai.