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, 4th Edition,
by R. Kent Nagle and Edward B. Saff.
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,
Bona,
Bonner,
Boyland,
Cenzer,
Crew,
DeLeenheer,
Drake,
Fessahaye,
Garvan,
Gregus,
Groisser,
Keating,
Keeran,
Klauder,
Martcheva,
Martinez,
McCullough,
Mitchell,
Ndangali,
Robinson,
Rojas-Rebolledo,
Sabuwala,
Shen,
Smith,Ju,
Summers,
Tiep,
Turull,
Venkataraman,
Walsh,
Warren,
Yan,
and Zheng.
Summer 2008 schedule:
- Summer A: Section 0693, Periods MTWRF2, Room FAC.120, Instructor Bhattacharya
- Summer B: Section 4787, Periods MTWRF3, Room LIT.113, Instructor Fisher
University of Florida *
Mathematics *
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