Instructor: S. Han
Tennessee Tech University
Department of Mechanical Engineering
ME3001, Mechanical Engineering Analysis, Fall 2015
Office: BN107
Phone: 372-6468
Email: Shan@tntech.edu
Text: Class Notes
References:
1. Numerical methods for Engineers, 5th Ed., Chapra and Canale, McGraw Hill, 2006
2. An Introduction to Numerical Methods, A MATLAB Approach, Kharab and Guenther, CRC Press, 2012
3. Engineering Systems Analysis, Haberman, C. E., Merrill Books, 1965
4. An Introduction to Programming and Numerical Methods in MATLAB, S. R. Otto and J. P. Denier,
Springer, 2005
5. Any Textbook for MATH2120 (Ordinary Differential Equations)
Prerequisite: ENGR 1120, MATH2010, 2011 and 2120
Goals: This course is to provide students with an introductory analytical and numerical analysis tools
for the typical mechanical engineering problems in various topics (mechanics, heat transfer, fluid
mechanics, and thermodynamics, etc.). Analytical methods include application of Laplace transforms,
Fourier series and separation of variable method. Numerical methods include root finding of simple and
simultaneous equations, integration and solutions to ordinary and partial differential equations using
MATLAB.
Attendance: Required. Excessive absence from class will be penalized.
Assignment: Homework assignments will be given periodically. You must work independently on all
homework and turn them in on time. No late homework will be accepted. It is a cheating to allow other
student copy off your solutions of homework assignment. It is your responsibility to keep the solutions
to yourself.
Exams: Two in-class exam and a final in-class exam as scheduled. No make-up exam will be given except
in an emergency.
Grades: Midterm exam (30 %); homework (30 %); final exam (40 %). Total (100 %)
Letter grade will be assigned as A (100 %-90 %), B (below 90 %-80 %), C (below 80 %-70 %), D
(below 70 %-60 %) and F (below 60 %)
Academic Honesty: Cheating and plagiarism will not be tolerated. Any student caught cheating will
receive a zero grade on the assignment. Further punishment through the University’s system of
discipline is also possible. Consult the ME department website for the definition on the academic
misconducts.
Assistance: If you need help, see me as soon as possible. Do not delay seeking help.
Disability: If you have a disability, which may require some special accommodation, see the Director of
Disability Services during the first week of semester.
Class: Tuesday and Thursday: 9:30am-10:50 am (Sec 003, BN236); 1:30 pm-2:50 pm (Sec 001, BN241)
Office Hours: MWF(2:30-3:25 pm); Tu, Th( 3:00-5:00pm)
Final exam:
12/7, M, 10:30-11:30 am (Sec 003)
12/8, Tue, 1:00-3:00 pm (Sec 001)
Class Schedule
Date Period
Day
Subjects
Homework
_____________________________________________________________________________________
8/25 1
T
Introduction
8/27 2
R
Root of single equations, Bisection, N-R methods
9/1
9/3
3
4
T
R
Secant method
MATLAB packages for roots
9/8
9/10
5
6
T
R
Roots of multiple equations
Gauss-Seidel methods, Tri-diagonal method
9/15
9/17
7
8
T
R
Numerical integration; Trapezoidal and Simpson’s rule
Gauss Quadrature
9/22
9/24
9
10
T
R
Ordinary differential equations
Laplace transform for ODE
9/29
10/1
11
12
T
R
Numerical method, ODE’s
Crank-Nicolson, Runge-Kutta method
10/6
10/8
13
14
T
R
Finite difference method for ODE
Midterm Exam
10/13 *
10/15 15
T
R
Fall Break
Continued
10/20 16
10/22 17
T
R
Fourier transform
Continued
10/27 18
10/29 19
T
R
Continued
Partial differential equations
11/3
11/5
20
21
T
R
Separation of variable method for PDE’s
Continued
11/10 22
11/12 23
T
R
Continued
Laplace transform for PDE’s
11/17
11/19
11/24
11/26
24
25
26
*
T
R
T
R
Continued
Numerical solution for PDE’s
Continued
Thanksgiving (no class)
12/1
12/3
27
28
T
R
Continued
Other numerical methods