MAP 2302
Elementary Differential Equations
- Credits:
3
Prerequisites:-
grade of C or better in MAC 2312, MAC 2512 or MAC 3473.
Catalog Description:-
First-order ordinary differential equations, theory of linear ordinary differential equations, solution of linear ordinary differential equations with constant coefficients, the Laplace transform and its application to solving linear ordinary differential equations. (M) (MR)
Textbook: -
Fundamentals of Differential Equations and Boundary Value
Problems, 5th Edition,
by R. Kent Nagle, Edward B. Saff and
Arthur David Snider
Content:-
MAP 2302 is a 3 credit course which
gives the basic elementary knowledge necessary for
understanding, applying,
and solving differential equations of the most usual types
(as they appear in Chapters 1, 2, 4, 5, 6, 7 and 8 of the text).
The choice of topics builds on a core and varies somewhat with the instructor.
This course is designed to serve students in engineering, physics,
mathematics and related areas.
It is taught in lecture format in small sections, with
grading, computer usage and laboratory
projects instructor dependent.
The course starts with an introduction to the concept of
differential equations. It covers first order methods, including
separability, exactness, integrating factors, first order
linear equations, Bernoulli's equations, and second order
equations reducible to first order ones. It also includes
some applications, possibly including mechanics.
The course continues with higher order methods for
constant coefficient linear equations including particular
solutions and general solutions by the method of undetermined
coefficients. It includes variation of parameters operator methods,
linear independence and the Wronskian. Applications include
vibrating springs, resonance, and electrical circuits.
The course covers Laplace transform methods, including
properties of the Laplace transform, solution of initial
value problems, and applications.
The course also covers power series solutions of differential
equations.
Recent Teachers:-
Berkovich,
Bhattacharya,
Bona,
Bonner,
Cenzer,
Crew,
DeLeenheer,
Fisher,
Garvan,
Gregus,
Keating,
Keeran,
Klauder,
Martcheva,
McCullough,
Mitchell,
Ndangali,
Robinson,
Shen,
Summers,
Turull,
and Yan.
Fall 2008 schedule:
- Section 6788, Periods MWF10, Room TUR.L005, Instructor Keeran
- Section 6554, Periods MWF9, Room TUR.L005, Instructor Keeran
- Section 6541, Periods MWF2, Room LIT.203, Instructor Tuncer
- Section 4988, Periods MWF4, Room LIT.201, Instructor DeLeenheer
- Section 4985, Periods MWF3, Room LIT.127, Instructor Tuncer
- Section 4689, Periods MWF4, Room LIT.125, Instructor Martcheva
- Section 3228, Periods MWF7, Room LIT.205, Instructor Zapletal
- Section 3227, Periods MWF6, Room LIT.205, Instructor Klauder
- Section 3221, Periods MWF2, Room LIT.205, Instructor Cenzer
University of Florida *
Mathematics *
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