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COURSE OUTLINE PRE-REQUISITE : SMM 1013 EQUIVALENCE : - 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 17 th February 2009 Name Signature Date : : : Head of Engineering Computing Panel 17 th February 2009 F/Kurikulum/Folder Rangka Kuliah/10 June 2008 FACULTY OF MECAHNICAL ENGINEERING Page : 1 of 6 SMM 3023 APPLIED NUMERICAL METHODS Revision Date of issue Last Amendment Edition : : 25 July 2011 : 25 July 2011 : 1 :

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Page 1: COURSE OUTLINE - fkm.utm.myabuhasan/content/teaching/skmm3023/... · COURSE OUTLINE COURSE LEARNING OUTCOMES ... numerical method. PO1, PO2, PO6 C5 PR, HW 4. ... Gauss Jordan elimination,

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

:

:

:

Head of EngineeringComputing Panel

17th February 2009

F/Kurikulum/Folder Rangka Kuliah/10 June 2008

FACULTY OF MECAHNICAL ENGINEERING

Page : 1 of 6

SMM 3023APPLIED NUMERICAL METHODS

Revision Date of issue Last Amendment Edition

:: 25 July 2011: 25 July 2011: 1:

Page 2: COURSE OUTLINE - fkm.utm.myabuhasan/content/teaching/skmm3023/... · COURSE OUTLINE COURSE LEARNING OUTCOMES ... numerical method. PO1, PO2, PO6 C5 PR, HW 4. ... Gauss Jordan elimination,

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)

F/Kurikulum/Folder Rangka Kuliah/10 June 2008

FACULTY OF MECAHNICAL ENGINEERING

Page : 2 of 6

SMM 3023APPLIED NUMERICAL METHODS

Revision Date of issue Last Amendment Edition

:: 25 July 2011: 25 July 2011: 1:

Page 3: COURSE OUTLINE - fkm.utm.myabuhasan/content/teaching/skmm3023/... · COURSE OUTLINE COURSE LEARNING OUTCOMES ... numerical method. PO1, PO2, PO6 C5 PR, HW 4. ... Gauss Jordan elimination,

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

Page : 3 of 6

SMM 3023APPLIED NUMERICAL METHODS

Revision Date of issue Last Amendment Edition

:: 25 July 2011: 25 July 2011: 1:

Page 4: COURSE OUTLINE - fkm.utm.myabuhasan/content/teaching/skmm3023/... · COURSE OUTLINE COURSE LEARNING OUTCOMES ... numerical method. PO1, PO2, PO6 C5 PR, HW 4. ... Gauss Jordan elimination,

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

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Page : 4 of 6

SMM 3023APPLIED NUMERICAL METHODS

Revision Date of issue Last Amendment Edition

:: 25 July 2011: 25 July 2011: 1:

Page 5: COURSE OUTLINE - fkm.utm.myabuhasan/content/teaching/skmm3023/... · COURSE OUTLINE COURSE LEARNING OUTCOMES ... numerical method. PO1, PO2, PO6 C5 PR, HW 4. ... Gauss Jordan elimination,

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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Page : 5 of 6

SMM 3023APPLIED NUMERICAL METHODS

Revision Date of issue Last Amendment Edition

:: 25 July 2011: 25 July 2011: 1:

Page 6: COURSE OUTLINE - fkm.utm.myabuhasan/content/teaching/skmm3023/... · COURSE OUTLINE COURSE LEARNING OUTCOMES ... numerical method. PO1, PO2, PO6 C5 PR, HW 4. ... Gauss Jordan elimination,

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.

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SMM 3023APPLIED NUMERICAL METHODS

Revision Date of issue Last Amendment Edition

:: 25 July 2011: 25 July 2011: 1: