EML 5060 - Analysis In Mechanical Engineering - Fall 1996 Van Dommelen
CATALOG DESCRIPTION
This course will familiarize students with methods of analysis
in mechanical engineering. Surveys applications of integration
and series, ordinary and partial differential equations, and linear
algebra.
CREDIT HOURS
3
PREREQUISITES
Graduate/Senior standing in Mechanical Engineering.
(Assumes undergraduate exposure to calculus,
and ordinary differential equations,
and to some Fourier Series, Laplace transforms, linear algebra,
and separation of variables for partial differential equations.)
TEXTBOOKS
The following textbooks will be used:
Ayres, Frank Jr & Mendelson, Elliott, Calculus Schaum's Outline
Series (McGraw-Hill) 3th edition 1990. ISBN 0-07-002662-9
Lipschutz, Seymour, Linear Algebra Schaum's Outline Series
(McGraw-Hill) 2nd edition 1991. ISBN 0-07-038007-4
Bronson, Richard, Differential Equations Schaum's Outline Series
(McGraw-Hill) 2nd edition 1994. ISBN 0-07-008019-4 WARNING:
this is the BRONSON book.
DuChateau, Paul & Zachmann, David W, Partial Differential
Equations Schaum's Outline Series (McGraw-Hill) 1986. ISBN
0-07-017897-6
INSTRUCTOR
Dr. Leon Van Dommelen (904) 487-6324
dommelen@eng.famu.fsu.edu http://www.eng.famu.fsu.edu/ dommelen
Office: T 3-4, 5-6 (i.e. before and after the ME seminar); W 10-11
TA
WanLai Lin, 213 CEB, office MWF 3:30-4:30
TIMES
Class: MWF 9:00-9:50
8/30/96 Test 1
9/04/96 HW Calc I
9/13/96 HW Calc II
9/18/96 EXAM I CALCULUS
9/23/96 HW Lin I
9/30/96 HW Lin II
10/07/96 HW Lin III
10/14/96 HW Lin IV
10/18/96 EXAM II LINEAR ALGEBRA
10/23/96 HW ODE I
10/30/96 HW ODE II
11/04/96 EXAM III ORDINARY DIFFERENTIAL EQUATIONS
11/08/96 HW PDE I
11/18/96 HW PDE II
11/25/96 HW PDE III
12/04/96 HW PDE IV
Final: 10-12 noon thursday 12/12/96 (FSU schedule)
GOALS
Provide experience in applying methods of mathematical analysis to
engineering problems. Emphasizes independent analysis using reference
works. Expands insight into engineering analysis.
COURSE OUTLINE
The course will cover:
Basic procedures.
Calculus and its application to optimization, estimation of area,
volume and moments of inertia, approximation procedures, velocity and
force fields.
Linear systems.
Linear algebra and its application to the determination of static
loads, static determinacy, principal axes, and natural frequencies.
Systems governed by ordinary differential equations.
Problems giving rise to ordinary differential equations, their
classification and solution procedures,
Systems governed by partial differential equations.
Classification and corresponding fundamental differences between
vibration, unsteady heat conduction, fluid flow and other problems and
solution procedures.
METHODS OF INSTRUCTION
Lectures, problem solving sessions, examinations.
STUDENT EVALUATION
The course grade will be computed as:
Test 1: 5%
Homework: 35%
Exam 1: 15%
Exam 2: 15%
Exam 3: 15%
Final: 15%
Students may not copy homework or tests or allow others to copy their
homework or tests. Violations will result in reduced credit and a
failing final grade.
Homework must be handed in at the start of the lecture at which
it is due. It may not be handed in at the departmental office.
Homework that is not received at the start of class on the due date
listed above cannot be made up unless permission to hand in late has
been given before the homework is due, or it was not humanly
possible to ask for such permission before the class. If there is a
chance you may be late in class, hand the homework in to the
instructor the day before it is due. (Shove it under his door if
necessary.)
Tests will be loosely based on the homework.
Immediately check the dates listed above for any conflicts.
Students are bound by the honor code of their university. It requires
you to uphold academic integrity and combat academic dishonesty.
Please see your student handbook.
COMPUTER REQUIREMENTS
None. However, it is strongly recommended that students obtain Web
access through a browser such as Netscape.