1. Title of Subject
Numerical Methods for Engineers
2. Subject code
ECE206
3. Status of subject
Core
4. Stage
Degree
5. Version
Date of Current Version : July 2009
6. Credit Hour
3
EAC Credit Hours
Equivalent
3.68 (3 + 0.68)
3 represents lectures (3 hours per week  14 weeks)
0.68 represents assignment, tutorials or labs (6 hour of lab 0.2, 5 hours of
assignments 0.12/tutorials 10 hours 0.36)
7. Pre-Requisite
ECC104, ECM101, ECM108
8. Teaching Staff
Not assigned yet
9. Semester
Year 2, Semester 2
10. Aim of Subject
To provide a strong understanding in the method and application of numerical
computing.
11.Learning Outcome of
Subject
At the completion of the subject, students should be able to:
1.
2.
3.
12. Assessment Scheme
understand and apply computational methodologies to solve
engineering problems when no closed-form, analytical solution
exists.
assess the efficiency of a selected numerical method when more
than one option is available to solve a certain class of problem.
understand the convergence properties and limitations of different
numerical methods.
Assignment/
Project



Test /Quiz

Group assignment
Focus group discussion at
tutorial
To enhance understanding
of basic concepts in
lecture
Written exam
20%
20%
Final Exam
13. Details of Subject

Written exam
Topics
60%
Hours
1. Numerical Modeling and Matlab
8
Modeling, Computers, and Error Analysis Mathematical
Modeling Numerical Methods & Problem Solving
MATLAB Fundamentals Programming with MATLAB
Roundoff and Truncation
2. Roots and Optimization
6
Roots: Bracketing Methods, Roots: Open Methods
Optimization , application
3. Linear Algebraic Equations and Matrices
8
Linear Algebraic Equations and Matrices
Gauss Elimination, LU Factorization, Matrix Inverse
and Condition Iterative Methods, application
4. Curve Fitting
6
Linear Regression, General Linear Least-Squares and
non-linear Regression, Polynomial Interpolation, Splines
and Piecewise Interpolation, application
5. Numerical Differentiation and Integration
6
Numerical Integration Formulas, Numerical Integration
Functions, Numerical Differentiation, application
6. Ordinary Differential Equations
6
Initial Value Problems,
Systems , application
14. Teaching and
Learning Activities
Adaptive Methods and Stiff
This subject will be delivered using the following means:
Lecture Hours = 42 hours
Supervised Tutorial Hours = 10
Total Contact Hours = 52
Example:
15. Detail of Assignment
THE PROJECT.
1. Choose an engineering problem which requires (non-trivial) numerical
computation to solve. This can be from one of your previous or current
courses, or from a workterm, or something else. But it must be an engineering
problem (with real data, parameters, and or inputs) - not a textbook problem.
2. Analyse your numerical problem. Determine what numerical issues need to
be addressed in solving your engineering problem. What sorts of numerical
methods are relevant (e.g. linear systems, curve fitting, initial value problem
and so on)?
3. Solve your numerical problem. Apply your knowledge of numerical
methods to generate a solution of your numerical problem. You may have to
look ahead in the course topics if you need a method that hasn't been covered
yet. You may also use numerical methods that aren't part of the course
syllabus. You should also verify that your solution is indeed a solution of the
numerical problem.
4. Interpret your numerical solution in the context of the original engineering
problem. Does it make physical sense? Graphs (generate with matlab) are
useful. The onus is on you to demonstrate that you actually solved the
engineering problem.
5. Document your work. You must prepare a THREE PAGE report in two
column format. Include the following sections: Title. Abstract (spanning the
two columns). Introduction (describe your engineering problem). Numerical
Problem. Numerical Solution. Interpretation. References.
16. Reading Materials
Textbook
Steven Chapra, “Applied Numerical Methods with
MATLAB for Engineers and Scientists”, McGraw Hill
2008.
Reference
Materials
Trefethen and Bau. Numerical Linear Algebra.
Philadelphia, PA: Society for Industrial and Applied
Mathematics, 1997
17. Program Outcomes
No
Program Outcomes
P1
Ability to acquire and apply knowledge of science and
engineering fundamentals.
P2
Acquired in‐depth technical competence in electronic
engineering discipline.
P3
Ability to undertake problem identification, formulation
and solution
Supported by Learning
Outcomes (LO) and Activities
LO1-3
Exam, test, tutorial,
assignment
LO1-3
Exam, test, tutorial,
assignment
Exam, test, tutorial,
assignment
P4
Ability to utilise systems approach to design and
evaluate operational performance.
Assignment
LO1
P5
Understanding of the principles of design for sustainable
development
P6
Understanding of professional and ethical
responsibilities and commitment to them.
LO1-3
Exam, test, tutorial,
assignment
Exam, test, tutorial,
assignment
P7
Ability to communicate effectively, not only with
engineers but also with the community at large.
Tutorial, assignment
P8
Ability to function effectively as an individual and in a
group with the capacity to be a leader or manager.
Tutorial, assignment
P9
Understanding of the social, cultural, global and
environmental responsibilities of a professional engineer
Assignment
P10
Recognising the need to undertake life‐long learning,
and possessing/acquiring the capacity to do so
Assignment