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COURSE OUTLINE
PRE-REQUISITE : SMM 1013EQUIVALENCE : -LECTURE HOURS : 3 Hour Lecture
Lecturers E-Mail Room No. Phone No.
1. PM Dr. Mohd Shafiek B. Yaacob [email protected] C24-323 34561
2. PM Dr. Normah Ghazali [email protected] C24-317 34577
3. PM Dr. Kahar Osman [email protected] C25-324 34733
4. Dr. Mohd Zarhamdy Md. Zain [email protected] C24-409 34676
SYNOPSIS
This course formally introduces the steps involve in engineering analysis (mathematical modeling, solving
the governing equation, and interpretation of the results). Example of case studies in applied mechanics,
strength of materials, themal science, and fluid mechanics are presented. Methods for solving the nonlinear
equations, simultaneous linear algebraic equations, eigenvalue problem, interpolation, numerical
differentiation, numerical integration, initial value problems, boundary value problem and partial differential
equation are introduced.
PREPARED BY : CERTIFIED BY :
Name
Signature
Date
:
:
:
Dr. Mohd Zarhamdy Md Zain
17th February 2009
Name
Signature
Date
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Head of EngineeringComputing Panel
17th February 2009
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FACULTY OF MECAHNICAL ENGINEERING
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COURSE OUTLINE
COURSE LEARNING OUTCOMES
By the end of the course, students should be able to :
No. Course Learning Outcomes
ProgrammeLearning
Outcome(s) Addressed
Learning Taxonomy & Generic Skill
Assessed
Assessment Methods
1.Construct mathematical models or the governing equations for the physical systems under investigation.
PO1 C3 T, PR, Q, HW
2.Solve the governing equations using appropriate numerical methods.
PO1, PO2, PO6 C3 T, PR, Q, HW
3.Develop a well-structured and reliable computer program for the chosen numerical method.
PO1, PO2, PO6 C5 PR, HW
4.Analyze the validity and accuracy of the numerical solutions. P01, PO2 C4 T, PR, HW
Note :(T – Test ; PR – Project ; Q – Quiz; HW – Homework ; Pr – Presentation; F – Final Exam)
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SMM 3023APPLIED NUMERICAL METHODS
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COURSE OUTLINE
STUDENT LEARNING TIME
No. Teaching and Learning Activities Student Learning Time (hours)
1.
Face to face learningLecturePracticalSCL activities
4200
2.
Independent StudyNon-face to face learningRevisionPreparing for assessments
28389
3.Formal Assessement
Continuous assessmentFinal exam
30
Total 120
TEACHING METHODOLOGY
1. This course introduces the steps involve in engineering analysis (mathematical modeling, solving the governing equation, and interpretation of the results).
2. Teaching and learning are done through lectures, hand-on sessions, and problem solving.
3. Students are required to go through the given projects.
4. Students are required to write reports and/or evaluate the assigned projects.
F/Kurikulum/Folder Rangka Kuliah/10 June 2008
FACULTY OF MECAHNICAL ENGINEERING
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SMM 3023APPLIED NUMERICAL METHODS
Revision Date of issue Last Amendment Edition
:: 25 July 2011: 25 July 2011: 1:
COURSE OUTLINE
WEEKLY SCHEDULE
Week Lecture Topic / Content
1
1-3 Introduction to engineering analysisa) Course requirementb) Course overview
24-6 Solution of nonlinear equations
a) Incremental search, Bisection, Newton-Ralphson, and secant methods.
b) Engineering applications
3
7-9 Simultaneous linear algebraic equationsa) Gauss Jordan elimination, LU decomposition,
Jacobi iteration, Gauss-Seidel iterationb) Engineering applications
410-12 Eigenvalue-eigenvector problem
a) Faddeev-Leverrier and Power methodsb) Engineering applications
5
13-15 Curve fitting and interpolationa) Collocation-polynomial fitb) Engineering applications
6
16-18 Curve fitting and interpolationa) Least-squares regressionb) Interpolationc) Engineering applications
719-21 Numerical integration
a) Finite-difference, Taylor’s series expansionb) Engineering applications
8 MID SEMESTER BREAK
F/Kurikulum/Folder Rangka Kuliah/10 June 2008
FACULTY OF MECAHNICAL ENGINEERING
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SMM 3023APPLIED NUMERICAL METHODS
Revision Date of issue Last Amendment Edition
:: 25 July 2011: 25 July 2011: 1:
COURSE OUTLINE
WEEKLY SCHEDULE
Week Lecture Topic / Content
9 22-24
Numerical integrationa) Newton-Cotes Formulas, Simpson’s rule, Romberg
integration, Gauss quadratureb) Engineering applications
10 25-27ODE : Initial-value problem
a) Euler’s and Runge-Kuttamethods
1128-30
ODE : Initial-value problema) Simultaneous differential equationb) Engineering applications
1231-33
ODE : Boundary-value problema) Shooting and finite-difference methodsb) Engineering applications
1334-36
Partial differential equationa) Initial and boundary conditionb) Elliptic and parabolic partial differential equation
1437-39
Partial differential equationa) Hyperbolic partial diiferential equationb) Engineering applications
1540-42
Project Submission week (Group and Individual Project)
16-18 REVISION WEEK AND FINAL EXAMINATION
TEXT
1. Chapra, S C, Canale, R P 2010, Numerical Methods for Engineers, New York: McGraw Hill.
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SMM 3023APPLIED NUMERICAL METHODS
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:: 25 July 2011: 25 July 2011: 1:
COURSE OUTLINE
REFERENCES
1. Rao, S. S. 2002. Applied Numerical Methods for Engineers and Scientists. New Jersey: Prentice Hall.
2. Pao, Y. C. 1999. Engineering Analysis, Interactive Methods and Programs, with FORTRAN, Qbasic, and MATLAB. New York: CRC
3. Habib, S. I. 1975. Engineering Analysis Method. Lexington Books
GRADING
No. Assessment Number % each % total Dates
1. Assigment 10 10
2. Test 2 25 50
3. Project 2 20 40
Overall Total 100
ATTENDANCE
The student should adhere to the rules of attendance as stated in the University Academic Regulation :-
1. Student must attend not less than 80% of lecture hours as required for the subject.
2. The student will be prohibited from attending any lecture and assessment activities upon failure to comply the above requirement. Zero mark will be given for the subject.
F/Kurikulum/Folder Rangka Kuliah/10 June 2008
FACULTY OF MECAHNICAL ENGINEERING
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SMM 3023APPLIED NUMERICAL METHODS
Revision Date of issue Last Amendment Edition
:: 25 July 2011: 25 July 2011: 1: