HW
Assignment for Math 531
This page will give a complete
listing of the reading and homework
assignments that you are required to do.
In addition, Exam and Final dates will
be listed.There
will be both written and electronic
Homework with the latter done
in WeBWorK.
Information
on logging into WeBWorK is given
by this hyperlink. For WeBWorK students will
login using their last name with a
capital first letter and their Red ID
number for a password. (Logins
are case sensitive!) For
example, suppose your name is Henri
Poincare with Red ID number 314159265.
Then you login with:
Username:
Poincare
Password: 314159265
There is a Lab
Manual (MATLAB and Maple) version,
which will continue to be updated over the
semester with detailed information for
using MatLab and Maple
on your assignments. There is a discount available to purchase Maple, Maple Adoption Discount.
Week
1112:We finish Chapter 8 on Nonhomogeneous problems and may begin Chapter 10 on Fourier Transforms. Lecture notes are available for Fourier Transforms (4Panel) and Fourier Transforms B (4Panel). There are Maple programs using the Fourier transform, fourier_heat.mws (PDF). Also, some MatLab code for Fourier transforms, heatFT3D.m, heatFTarbf.m.
Solutions are available
for HW4.
Old Solutions are available
for HW6, HW7, HW8, and HW9. (Note that these problems may not exactly match the ones that you worked for you HWs. Appropriate solutions will be posted for current semester as they become available.)
HW Assignment #10: 8.2.2b, 8.2.5, 8.3.1a, 8.4.2, 8.4.3, 9.2.1(c,d).
These problem are due Monday, Apr. 24.
Week
1315: We finish Chapter 10 on Fourier Transforms. Lecture notes are available for Fourier Transforms C (4Panel). There are MatLab programs for this section, pde_eg1.m, laplace_eg.m. We introduce the Method of Characteristics and examine AgeStructured Models. Lecture notes are available for Method of Characteristics (4Panel). There is a TakeHome
Final, which is due
on Thur. May 11, 3 PM.
Solutions are available
for Take Home 1. (Note that these solutions are somewhat crude, as they were modified from previous questions asked in the past.)
HW Assignment #11: 10.3.1, 10.3.5, 10.3.6, 10.4.1, 10.4.3, Computer Problem.
These problem are due Monday, May 1.
_____________________________________________________________________________________________________
Notes about Exams
For Take Home Exam 1,
you must do all the work yourself without help from outside. Answers need to be clearly written and computer programs must be appended to your document.
_____________________________________________________________________________________________________
Old Assignments
Week
1: Read Chapters 1 and 2
from the text. Lecture notes are
available for Introduction (4Panel), Ordinary
Differential Equations (4Panel),
and Heat
Equation  Derivation (4Panel).
The first chapter introduces Partial
Differential Equations and shows the
derivation of the Heat Equation. The
second chapter shows separation of
variables and begins the process of
solving the Heat Equation.
HW Assignment #1: There is a set of problems HW#1 to work. Also work the WeBWorK Problems (ode) and the ones from the text 1.2.9, 1.4.12.
These problem are due
Wed, Feb. 1.
Week
2: Read Chapters 2
and 3 from the text. Lecture notes are
available for Heat Equation  3D (4Panel) and Separation of Variables (4Panel). We continue
techniques of separation of variables
and introduce Fourier series. Computer
code for Maple (heat1d (PDF))
and MatLab (heatjm.m)
are available.
HW Assignment #2: Work the
WeBWorK Problems, 1.5.22, 2.2.4,
2.3.1(b,c,f), 2.3.8.
These problem are due Wed,
Feb. 8.
Week
3: Read Chapters 2
and 3 from the text. Lecture notes are
available for Separation of Variables B (4Panel) and Fourier Series (4Panel). MatLab code for Fourier series (fourier_1.m).
HW
Assignment #3: Work the
WeBWorK Problems, 2.4.1(a,c), 2.4.2, 2.5.1(d,g), 2.5.2,
2.5.6(b), 2.5.8(b), 2.5.10, 2.5.15(b), Computer
Problem.
These problem are due Wed,
Feb. 15.
Week
4: Read Chapter 3 from
the text. We continue Fourier series. MatLab code for Fourier series (gibb_c.m, gibb_d.m). Maple code for Fourier series (sawtooth.mw (PDF)). We begin material on the Vibrating String (4Panel).
HW Assignment #4: Work the
WeBWorK Problems, 3.3.1(c), 3.3.14,
3.4.6, 3.4.11, Computer
Problem
2. These problem are due Wed,
Feb. 22.
Week
5: Read Chapter 4
(through 4.4) the Vibrating String (4Panel) and Chapter 5 SturmLiouville Problems (4Panel) and SturmLiouville Problems B (4Panel) from the
text.
Solutions are available
for HW1.
HW
Assignment #5: Work the WeBWorK
Problems, 4.4.1, 4.4.9, 4.4.10, 5.3.2,
5.3.3, 5.3.9, 5.4.5.
These problem are due Wed,
Mar. 1.
Week
6: Read Chapter 5 SturmLiouville Problems (4Panel), SturmLiouville Problems B (4Panel), and SturmLiouville Problems C (4Panel) from the
text. MatLab code for BC of Third Kind (fourier_rob.m, heatjm_rob.m) and Maple code (robin_ev.mw (PDF)). There is a TakeHome
Exam, which is due
on Fri. Mar 10, 4PM.
HW
Assignment #6: Work the WeBWorK
Problems, 5.5.1(c,d),
5.5.5, 5.5.8, 5.5.11, 5.6.1(a), 5.8.5 (for b numerically find first 5 e.v.s with h = 1 and L = 1), 5.8.8 (for c numerically find first 5 e.v.s), 5.8.11.
These problem are due Wed,
Mar. 15.
Week
78: We begin Chapter 7 with higher dimensional PDEs, Bessel's Differential Equation, spherical problems and Legendre polynomials. Lecture notes are available for Higher Dimensional PDEs (4Panel) and Vibrating Circular Membrane (4Panel). For those who want more details, there is a link to good notes on the Method of Frobenius needed for solving Bessel's equation.
HW
Assignment #7: Work the WeBWorK
Problems, 7.3.1 (d), 7.3.2a, 7.3.4a, 7.3.5, 7.5.1a, 7.5.2a.
These problem are due Wednesday, Mar.
22.
Week
9: We continue Chapter 7 with higher dimensional PDEs, Bessel's Differential Equation, spherical problems and Legendre polynomials. Lecture notes are available for Vibrating Circular Membrane (4Panel) and Laplace's on Cylinder (4Panel).
HW Assignment #8: Work the
Problems: 7.7.1, 7.7.2a, 7.9.1c, 7.9.2b.
These problem are due Wednesday, Apr.
5.
Week
1011:We complete Chapter 7 with higher dimensional PDEs, Bessel's Differential Equation, spherical problems and Legendre polynomials, then begin Chapter 8 on Nonhomogeneous problems. Lecture notes are available for Nonhomogeneous Problems (4Panel). There is a TakeHome
Exam, which is due
on Fri. Apr 21, 3:30PM.
Solutions are available
for HW2 and HW3.
HW Assignment #9: Work the
Problems: 7.10.1e, 7.10.2c, 7.10.8, 7.10.9a.
These problem are due Wednesday, Apr.
12.
For questions
concerning the webpage contact Joseph
Mahaffy.
