1. Instructor information
:
Instructor name: MSc. Le Hoang Tuan Email: tuanlh@uit.edu.vn
Phone: (84-8) 38974503 Cell phone: (+84) 908016087
Office: UIT, KM20, Ha Noi Highway, Linh Trung, Thu Duc, HCMC, Vietnam.
Office hours: 8:00-11:00 am
2. Class room
:
Main class room (campus): UIT, KM20, Ha Noi Highway, Linh Trung, Thu Duc, HCMC.
Online classroom (website):
Class meeting time: Tue 9:30 – 11:00, Thu 09:30 – 11:00, weekly
Library hours (where): VNU-Library.
3. Course information
:
Course description:
Credit: 3 (3 lecture).
This course provides some basic methods for obtaining numerical solutions with a digital computer. Included are methods for the solution of algebraic and
transcendental equations, simultaneous linear equations, errors, floating point numbers and operations, interpolation and approximation, condition and
stability, numerical differentiation and integration, ordinary and partial differential equations, and curve fitting techniques. The methods are compared
with respect to computational efficiency and accuracy.
Course objectives:
The course is intended to be an introductory course in scientific computing. Basic numerical methods are investigated thoroughly including error analysis
and implementation of each method in computer. The objective of the course is to introduce the basic principles of numerical analysis, error sources in
numerical methods and to familiarize students in using computers to solve numerical problems.
Learning Outcomes of the Course:
Numerical methods are important tools in engineering. With the advent of powerful digital computers, numerical methods are widely applied in machine design
especially in mechatronic machine design. Today’s highly competitive market conditions require decreased market time. In order to compete with these needs
computers are heavily used during every phase of design. Numerical simulation, finite element methods are the two major methods used in these phases.
Therefore mechatronic engineers should have enough background in scientific computing.
Prerequisite:
MATH 1314 (Linear Algebra); MATH 1315 (Differential Equations) or concurrent enrollment; and knowledge of programming.
4. Book and materials
:
Required textbook:
Numerical Methods for Engineers, Ayyub and McCuen, Prentice Hall, NJ 1996.
Other materials:
Numerical Methods for Engineers and Scientists (Second Edition – Revised and Expanded), Joe D. Hoffman, Marcel Dekker, Inc., 2001.
Numerical Methods – Real Time and Embedded System Programing, Don Morgan, M&T Publishing, Inc, 1992.
Numerical Methods in Engineering with Python (2nd Edition), Jaan Kiusalaas, Cambridge University Press, New York, 2010.
Course website: www.uit.edu.vn/Math-courses
5. Course requirements
:
Assignments: Exercises are in corresponding sections of the required book. The homework assignments are due one week or two weeks after they are
assigned.
Computer-based training and testing:
Projects or Team Class Projects: Projects are given by the instructor after finishing a chapter.
Midterm Examinations: students must take the midterm test via classroom examination and presentation.
Class attendance/participation: Evaluated by checking in the Attendance Book.
Final Examination: Students are directly tested and automatically marked on computers.
6. Grading Procedures
:
Assignments: ............................................................................... 20%
Quizzes: ...............................................................................................
Computer-based training and testing: ..................................................
Projects or Team Class Projects: ................................................... 10%
Midterm Examinations: ............................................................... 25%
Class attendance/participation: ...................................................... 5%
Final Examination: ....................................................................... 40%
Total point and Grades
:
90-100: Good (A) 80-89: Well (B) 70-79: Mean (C)
60-69: Weak (D) 50-59: bad (E) 1-49: too bad (F)
7. Academic integrity Policies
:
- Student may not be absence in 4 sessions. If so, he/she will be prhibitted from test or exam.
- Student may not use Vietnamese languague in their class, or will be reduced 2% final marks
- Be punctual to come and leave the class.
- Maximum cancellation time per semester is 6 hours per class.
- All students must take all exams including the final exam. Only extenuating circumstances will be accepted as excuse for missing an exam. These students
must provide their reasonable evidences and have to take an other exam.
8. Course outline
:
|
Week |
Topics
|
Source
|
|
1 |
Introduction to Numerical Methods and related softwares. |
Chapter 1 |
|
2 |
Approximations, Precision, Accuracy, Errors, and Taylor’s Theorem. |
Chapter 1 |
|
3 |
Roots of Equations: Bracketing Methods. |
Chapter 2 |
|
4 |
Roots of Equations: Open Methods. |
Chapter 2 |
|
5 |
Systems of Linear Algebraic Equations |
Chapter 3 |
|
6 |
Systems of Linear Algebraic Equations (cont) |
Chapter 3 |
|
7 |
Curve Fitting |
Chapter 4 |
|
8 |
Polynomial Approximation and Interpolation |
Chapter 5 |
|
9 |
Mid-term exam. |
|
|
10 |
Polynomial Approximation and Interpolation (cont) |
Chapter 5 |
|
11 |
Numerical Differentation and Integration |
Chapter 6 |
|
12 |
Numerical Differentation and Integration (cont) |
Chapter 6 |
|
13 |
Ordinary Differential Equations: Euler’s Method, Runge - Kutta Methods. |
Chapter 7 |
|
14 |
Ordinary Differential Equations: Runge - Kutta Methods (cont), Multistep Methods. |
Chapter 7 |
|
15 |
Ordinary Differential Equations: Boundary-Value Problems (BVP), Eigenvalue Problems |
Chapter 7 |
Schedule, deadlines, deliverables by week: Students submit weekly Assignments on Fri/week.
Important dates: 9th week: Midterm test. From 17th - 18th week: Final exam.
9. Comments and notes
:
Make-up: Make-up classes are officially accepted after the Make-up forms are signed by all of the students in the class and directly send to the
Registrars.
Preparation for Class: It is expected that the students read related chapter in textbook and lecture noted before each class. This will help to
capture the topics presented and discussed during class hours.
Use of Class Time: Class time will be used mainly for lectures and discussions. A small part of class hours is used for testing. House works will
be discussed on individual basis.
Class Attendance: Due to the broad range of topics discussed throughout the course and their inter-relationship, it is requested that the students
should attend the class regularly.
Incomplete Grade: A grade of “I” (Incomplete) will be administered only under extreme, verifiable “emergency” situation where the student is
unable to complete some portion of the course work due to circumstances beyond his/her control PROVIDED THE STUDENT IS PASSING THE COURSE.
Assignment Requirement: Assignments of each session must be submited by email before the next session begins.
Instructor’s Signature
MSc. Le Hoang Tuan