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EML 5060 - Analysis In Mechanical Engineering - Fall 1997
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:

1. Ayres, Frank Jr & Mendelson, Elliott, Calculus Schaum's Outline Series (McGraw-Hill) 3th edition 1990. ISBN 0-07-002662-9
2. Lipschutz, Seymour, Linear Algebra Schaum's Outline Series (McGraw-Hill) 2nd edition 1991. ISBN 0-07-038007-4
3. Bronson, Richard, Differential Equations Schaum's Outline Series (McGraw-Hill) 2nd edition 1994. ISBN 0-07-008019-4 WARNING: this is the BRONSON book.
4. 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
http://www.eng.famu.fsu.edu/dommelen. dommelen@eng.famu.fsu.edu Contact me.
Office: 3:00-3:50 pm T, 5:40-6:30 pm R or by appointment.
Phone: (850) 487-6324. I tend to forget to check my voice mail.

TA

TBA

TIMES

Class: MWF 10:45-11:35
08/29/97 Test 1
09/03/97 HW Calc I
09/12/97 HW Calc II
09/17/97 EXAM I CALCULUS
09/22/97 HW Lin I
09/29/97 HW Lin II
10/06/97 HW Lin III
10/13/97 HW Lin IV
10/17/97 EXAM II LINEAR ALGEBRA
10/22/97 HW ODE I
10/29/97 HW ODE II
11/03/97 EXAM III ORDINARY DIFFERENTIAL EQUATIONS
11/07/97 HW PDE I
11/14/97 HW PDE II
11/21/97 HW PDE III
12/01/97 HW PDE IV
12/05/97 HW PDE V
12/09/97 Final 5:30-7:30 pm Tuesday (if the FSU schedule is correct.)

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:

• 05% Test 1
• 30% Homework
• 15% Exam 1
• 15% Exam 2
• 15% Exam 3
• 20% Final

Grading is at the discretion of the instructor. Because of the number of students who received C range grades in this class and did not repeat it, grading at the lower end will be somewhat tougher than previous years.

IMPORTANT GENERAL REQUIREMENTS

1. Immediately check the dates listed above for any conflicts.
2. 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 or at the end of class. 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.)
3. Unless the instructor states otherwise, all remaining questions of the homework set are due.
4. 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. However, you may work together on the same question.
5. Homework should be neat.
6. Tests will be loosely based on the homework.
7. 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

Students must have an E-mail address and regularly check their E-mail. Students must be able to use a Web browser such as Netscape. The class web page can be accessed at http://www.eng.famu.fsu.edu/~dommelen/courses/aim/index.html

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