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.
Schedule for Fall 2005
The links (pdf) are to files which were generated from Excel spreadsheets. They can be displayed by your web browser or by an application such as Adobe Acrobat.
- Math212 TTh Fall 2005 (pdf)
- In-class Exercises for Math 212 F2005 (pdf)
Differential Equations with Boundary Value Problems,
by Selwyn Hollis, Prentice Hall, ISBN 0-13-015927-1, 2002 (Required)
A Mathematica Companion for Differential Equations,
by Selwyn Hollis, Prentice Hall, ISBN 0-13-046329-9, 2003 (Required)
Course Notes and Related Materials
Office: Woods Laboratories 120
Location and Time
Tuesday, Thursday, 9:30 - 10:45 a.m.
Final Examination: Thursday, Dec 8, 9-11 a.m.
Woods Laboratories 134
Informal Lab Sessions
Wednesday, 1:00 - 2:00 p.m.
Summit Center, Second Floor of DuPont Library
Math 212 (TTh, 9:30-10:45 am class) -- Thursday, Dec 8, 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