MEEN 5140.001
Instructor:
Office:
Phone:
Email:
Office Hours:
Lecture Time:
Advanced Math Methods
2013 Fall
Xiaohua Li
NTDP F101G
940-369-8020
xiaohua.li@unt.edu
Wed 3:00pm-5:00pm or by appointment.
T&Th 8:30am-9:50am room B158
Required Textbook: Advanced Engineering Mathematics, 2nd Ed
Michael Greenberg)
ISBN 0-13-321431-1
Course Description:
This is a first semester graduate course appropriate for students in mechanical and energy
engineering. The topics to be covered are: solution of ordinary differential equations by
power series methods and special functions; phase plane methods; solution of the partial
differential equations of physics—the heat, wave, and Laplace equations—by separation
of variables. Chapters to be covered are: Chapter 4, 6, 7, 18, 19, and 20.
Grades: Homework
Midterm
Final
Project
Total
 90%
80-89.9%
70-79.9%
60-69.9%
< 60%
20%
35%
35%
10%
100%
A
B
C
D
F
Homework:
(1) Please turn in your homework on the due day before the lecture starts. NO late
homework will be collected.
(2) Definition of “late”: when class is over and the instructor steps outside the
classroom, homework turned in thereafter will be considered as “late” and will
not be collected
(3) Having no textbook is not a valid excuse for not doing your homework. It is the
student’s responsibility to acquire textbook for his/her study
(4) Homework can be turned in earlier than the due day
(5) Homework dropped in the instructor’s departmental mailbox will NOT be
collected
(6) You can ask your friend/classmate to turn in homework for you
(7) You can scan ( or take a picture using smart phone) and email the homework
before the class ends (9:50am)
(8) Homework must be stapled, instructor or TA will not be responsible for lost loose
homework
(9) Exceptions (late homework will be collected): medical emergence (student and
important ones), transportation/traffic emergency; religious holidays/duty, jury
duty and military duty. Evidences must be submitted.
Exams:
1
(1)
(2)
(3)
(4)
Exams are closed book closed notes with formula sheets.
Formula sheets can be maximum 5 pages, A4 or letter size, both sides
Each student is responsible for preparing his/her own formula sheets.
Formula sheets could include anything BUT: solutions to homework or examples.
Student who failed to follow this rule will score zero in the exam and this
cheating matter will be reported to the department and university.
(5) Formula sheets must be turned in with the exam papers (in the case of formula
sheets were not checked by the instructor during the exam). Student who failed to
follow this rule will score zero in the exam and this cheating matter will be
reported to the department and university.
(6) There will be NO make-up exam. Exceptions: medical emergence (student and
important ones), transportation/traffic emergency; religious holidays/duty, jury
duty and military duty. Evidences must be submitted.
Disability Accommodations: If you need academic accommodations for disability you
must have document which verifies the disability and makes you eligible for
accommodations, then you can schedule an appointment with the instructor to make
appropriate arrangements.
Academic Dishonesty:
There is a zero tolerance policy. Cheating of whatsoever will result in an automatic ‘F’ in
this course and the matter will be turned over to the appropriate student disciplinary
committee.
IMPORTANT EXAM DATES
Midterm: Oct.17th 2013, Thursday; 8:30am-9:50am B158
Final Exam (non-comprehensive): Dec 10th 2013, Tuesday; 8:00am-10:00am B158
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MEEN 5140.001 Advanced Math Methods
Schedule Overview (subject to change)
Week
Dates
#1
Aug.28th - Aug.30th
#2
Sept.2nd – Sept.6th
#3
Sept.9th – Sept.13th
#4
Sept.16th – Sept.20th
#5
Sept.23rd – Sept.27th
#6
Sept.30th – Oct.4th
#7
Oct. 7th – Oct.11th
#8
Oct. 14th – Oct.18st
#9
Oct. 21st – Oct.25th
#10
Oct.28th –Nov.1st
#11
Nov.4th –Nov.8th
#12
Nov.11th –Nov.15th
#13
Nov.18th –Nov.22nd
#14
Nov.25th – Nov. 29th
#15
Dec.2nd – Dec. 6th
#16
Dec 10th (Exam week)
Topic
Overview of syllabus
Review of 1st and 2nd order ODE
Ch.4: power series solutions: Review of Power series
Ch.4: power series solutions: Power series solution to ODE
Ch.4: power series solutions: Frobenius Method: case I
Ch.4: power series solutions: Frobenius Method: case II
Ch.4: power series solutions: Frobenius Method: case III
Ch.4: power series solutions: Legendre Equation/Functions
Ch.4: power series solutions: Legendre Equation/Functions
Ch.4: power series solutions: Bessel Equation/Functions
Ch.4: power series solutions: Bessel Equation/Functions
Ch.6: Numerical methods for ODE: Euler Method and
Modified Euler method
Ch.6: Numerical methods for ODE: R-K Method and
Backward Euler Method
Ch.6: Numerical methods for ODE: Multiple Steps Method
and Higher order ODE
Ch.6: Numerical methods for ODE: BVP: Finite Difference
Method, Residual Method
Midterm Exam (Thursday)
Ch.6: Numerical methods for ODE:BVP: Galerkin’s Method
Ch.7 Qualitative Methods: introduction & An example
Ch:7 Qualitative Methods: Singular points & Stability
Ch:7 Qualitative Methods: Liapunov’s Second Method
Ch:7 Qualitative Methods: Limit Cycle
Ch:7 Qualitative Methods: Chaos and Attractors
Ch.18: Diffusion Equation: Separation of variables
Ch.18: Diffusion Equation: Numerical Method
Ch.19: Wave Equation:
Mathematical Modeling of Beam & Plate vibration
Ch.19: Wave Equation:
Separation of Variables; Vibration Modes
Ch.20: Laplace Equation
Thanksgiving, No class
Ch.20: Laplace Equation
Project Presentation
Final Exam (non-comprehensive):
Dec 10th 2013, Tuesday; 8:00am-10:00am B158
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