Ordinary differential equations, with applications. Methods of numerical approximation, power series, and Laplace transforms. Existence and uniqueness of solutions. Prerequisite: Mathematics 207.
Objectives of the course
- demonstrate the ability to characterize, analyze and solve mathematical exercises in differential equations with a style and precision appropriate to the second-year level of university;
- begin the transition from viewing mathematics as a largely computational activity to interacting with its logical structure of definitions and proofs and relating geometric, numerical, and analytic points of view;
- demonstrate a certain level of expertise in the application of a computer algebra system to mathematical modeling and problem-solving in differential equations;
- appreciate the pervasive influence and contributions of differential equations to the natural and social sciences.
Elementary Differential Equations, Tenth Edition,
by William E. Boyce and Richard C. DiPrima,
Wiley, ISBN 978-0-470-45832-7, 2013 (Required)
Schedule for Spring 2015
The link (pdf) is to a file which can be displayed by your web browser or by an application such as Adobe Acrobat.
Course Notes and Related Materials
- The Student Companion Site for our textbook
contains a number of helpful resources, including chapter review sheets, web quizzes, and a complete, section-by-section set of detailed PowerPoint
presentations for learning and reviewing this material.
- Mathematica scripts play a prominent role in this course, and our scripts make use of a wide variety of named colors. To use these colors
in your own scripts, download the file ColorNames.m and put it in the folder /Applications/Mathematica/AddOns/ExtraPackages.
In order to open the Mathematica directory, select the Mathematica icon in the Applications directory, hold down the control key, and select
Show Package Contents. If the machine you happen to be working on does not already have that file in that location, you can still install
the definitions of all of those color names by opening the file in Mathematica, and then clicking on its "Run Package" button.
- MIT OpenCourseWare hosts streaming video lectures and other materials supporting several MIT courses on differential equations
The videos for some of these courses may also be available online at Apple's "iTunes U."
- This semester, edX will offer the online course
Math226.1x Introduction to Differential Equations
beginning on January 29, 2015. It is to be the first in a sequence of three online courses on differential equations to be offered by Prof. Paul Blanchard,
which taken together essentially mirrors the course in ordinary differential equations taken by some 500 students per year at Boston University.
- An imaginative and challenging set of interactive differential equations projects is offered online by IDEA,
Internet Differential Equations Activities.
The Mathematica programming environment offers an exceptionally well-organized help facility under Mathematica's Help menu.
We frequently access some of this information by selecting the name of a Mathematica function or procedure in one
of our scripts, and then selecting "Help/Find Selected Function." The Wolfram site contains a world of tutorials and deomostrations,
such as this Hands-on Start to Mathematica and a number of
in differential equations made with their Mathematica software.
Our site license permits Sewanee students to install Mathematica on their personal machines. To request permission
to do that, go to this page from a machine in one of
Sewanee's computer labs and fill out the request form. When your request is authorized, you will receive an email
with further instructions on obtaining your student copy of Mathematica, including a download address and authorization code.
Office: Woods Laboratories 120
Location and Time
Tuesday, Thursday, 11:00 a.m. - 12:15 p.m.
Woods Laboratories 134
Saturday, May 2, 9-11 am
Woods Laboratories 134
Sewanee's tradition of cordial and constructive student-faculty relationships is one of its great strengths, and I am very happy to support that tradition. If you would like to talk with me, please make an appointment, either when you see me in class or in the hallways or in my office (WL120), or by email (email@example.com), or by voice mail message (x1333).
Homework is due on Thursdays!
- 3 review examinations 60 %
- homework, labs, quizzes 20 %
- final examination 20 %
The Honor Code applies to all examinations and written work produced in this course. Plagiarism is copying or imitating the language and thoughts of others, whatever the medium (written papers or computer programs). All work on the examinations must be done individually.
Attendance is required and is an important factor in doing well in the class. All assignments must be completed, and the student is responsible for making up any work missed due to absence. Late work will be accepted ONLY if appropriate arrangements have been made with the instructor PRIOR to the due date. The Dean's Office may be notified after