Math 761: Methods of Applied Math I
Days & Times Room Instructor Meeting Dates
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TR 4:30-5:45pm AB206 Eric Olson Aug 24 to Dec 8 2020
Course Information
- Instructor:
- Eric Olson
- email:
- ejolson at unr edu
- Office:
- Through Zoom and by appointment.
- Homepage:
- http://fractal.math.unr.edu/~ejolson/761/
- Required Texts:
- Michael Shearer and Rachel Levy,
Partial Differential Equations: An Introduction to Theory and
Applications, Princeton University Press, March 1, 2015.
Announcements
[20-Jun-2020] Textbook
We will be using the book Partial Differential Equations:
An Introduction to Theory and Applications by Shearer and Levy
as the primary reference in our course. This book is
An accessible yet rigorous introduction to partial differential equations
This textbook provides beginning graduate students and advanced
undergraduates with an accessible introduction to the rich subject of
partial differential equations (PDEs). It presents a rigorous and clear
explanation of the more elementary theoretical aspects of PDEs, while also
drawing connections to deeper analysis and applications. The book serves
as a needed bridge between basic undergraduate texts and more advanced
books that require a significant background in functional analysis.
Topics include first order equations and the method of characteristics,
second order linear equations, wave and heat equations, Laplace and
Poisson equations, and separation of variables. The book also covers
fundamental solutions, Green's functions and distributions, beginning
functional analysis applied to elliptic PDEs, traveling wave solutions
of selected parabolic PDEs, and scalar conservation laws and systems of
hyperbolic PDEs.
We will cover chapters 1 through 9 including the topics
- Linear PDEs.
- Cauchy-Kovaleskaya Theorem.
- The Methods of Characteristics.
- Conservation Laws and Shocks.
- Energy and Uniqueness of Solutions.
- The Maximum Principle.
- Duhamel's Principle.
- Separation of Variables.
- Eigenfunctions for an ODE.
- Convergence of Fourier Series.
- Laplace's Equation.
- Harmonic Functions.
- Boundary Value Problems.
- Green's Functions.
Grading
1 Midterm 30 points
4 Homework Assignments 20 points each
1 Final Exam 30 points
Participation 10 points
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150 points total
This is an upper-division mathematics class class. Exams and quizzes
will be interpreted according to the following grading scale:
Grade Minimum Percentage
A 85 %
B 70 %
C 60 %
D 50 %
The instructor reserves the right to give +/- grades and higher grades
than shown on the scale if he believes they are warranted.
Final Exam
The final exam will be held on
XXXXXX, XXXXXXXX XX from XX:XX-X:XXpm in XXXXX.
Equal Opportunity Statement
The Mathematics Department is committed to equal opportunity in education
for all students, including those with documented physical disabilities
or documented learning disabilities. University policy states that it is
the responsibility of students with documented disabilities to contact
instructors during the first week of each semester to discuss appropriate
accommodations to ensure equity in grading, classroom experiences and
outside assignments.
Academic Conduct
Bring your student identification to all exams. Work independently on
all exams and quizzes. Behaviors inappropriate to test taking may disturb
other students and will be considered cheating. Don't talk or pass notes
with other students during an exam. Don't read notes or books while taking
exams given in the classroom.
We will work on the programming assignments as a team--please turn in
individually prepared reports.
Homework may be discussed freely. If you
are unclear as to what constitutes cheating, please consult with me.
Last updated:
Sat Jun 20 13:37:36 PDT 2020