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RPP-04 / Prosedur Perlaksanaan Kuliah

Edisi: 3 / No. Semakan: 0

PERANCANGAN KULIAH

LECTURE PLAN

MAKLUMAT KURSUS (COURSE INFORMATION)

SEMESTER/SESI (SEMESTER/SESSION) : II 2013/2014

KOD KURSUS (COURSE CODE) : BWM 30602

NAMA KURSUS (NAME OF COURSE) : ENGINEERING

MATHEMATICS IV

BEBAN AKADEMIK PELAJAR (STUDENT ACADEMIC LOAD) : 2 CREDITS

Aktiviti Pembelajaran

(Learning Activity) Minggu

(Week) Jam/Minggu

(Hour /Week)

Bilangan Jam /

Semester

(Hour/Semester)

Kuliah (Lecture) 14 2 28

Tutorial (Tutorial) 14 1 14

Amali (Practical) - - -

Pembelajaran Kendiri (Independent Study) 14 2 28

Lain-lain (Others)

1. Project (Project)

2. Tugasan (Assignment)

10

JUMLAH JAM BELAJAR PELAJAR (JJB) TOTAL STUDENT LEARNING TIME (SLT) 80 / 40 (2)

Kursus Pra-syarat (Pre requisite Courses)

Nama Pensyarah (Lecturer’s name)

: Passed Engineering Mathematics I

(BWM 10103 / BSM 1913)

: Dr. Fazlina Binti Aman

Mdm. Latifah Binti Md Ariffin

Mdm. Azila Binti Md Sudin

Disediakan oleh (Prepared by) :

Tandatangan (Signature) :

Nama (Name) : Azila Binti Md Sudin

Tarikh (Date) : 9 Februari 2014

Disahkan oleh (Approved by) :

Tandatangan (Signature) :

Nama (Name) : Dr. Norshamsidah Bt Amir Hamzah

Tarikh (Date) : 9 Februari 2014

UNIVERSITI TUN HUSSEIN ONN MALAYSIA

FAKULTI SAINS, TEKNOLOGI DAN PEMBANGUNAN INSAN



MATLAMAT (GOALS):

This subject enhances and prepares the students with the knowledge of numerical methods which is needed

in the engineering fields.

SINOPSIS (SYNOPSIS):

Nonlinear equations: Bisection, and Newton Raphson method. Systems of Linear Equations: Gaussian

and Gauss Jordan elimination, Thomas, and Gauss-Seidel method. Interpolation and polynomial

approximation: Lagrange. Numerical Differentiation: Taylor series expansion. Numerical Integration:

Trapezoidal and Simpson’s rule. Eigen Values: Power method. Ordinary Differential Equations:

Solution of Initial-Value Problems by Taylor Series, Euler and Runge-Kutta methods. Solution of

Boundary-Value Problems by finite difference method. Partial Differential Equations: Explicit by using finite difference method.

HASIL PEMBELAJARAN (LEARNING OUTCOMES):

At the end of this course, students can utilize and appreciate knowledge and skills that they have learned in

order to:

(1) examine the numerical methods to solve engineering problems. (C4, PLO1) (2) critically performs a presentation/report for a guided PBL assignment/projects. (P2, PLO4) (3) independently proceeds lifelong learning in a guided PBL assignment/projects. (A2, PLO6)

ISI KANDUNGAN (CONTENT):

MINGGU

(WEEK) KANDUNGAN

(CONTENT) PENTAKSIRAN

(ASSESSMENT)

1

2

Introduction to Errors (2 hours)

1.1 Error, absolute and relative errors.

1.2 Source of errors: chopping off and round off techniques.

Nonlinear Equations (2 hours)

2.1 Locate root (Intermediate Value Theorem).

2.2 Bisection, secant and Newton-Raphson method.

Assignment/

Quiz/Test/

Final Examination

Assignment/

Quiz/Test 1

Final Examination

3 – 4

Systems of Linear Equations (4 hours) 3.1 Gauss elimination and Gauss Jordan elimination method. 3.2 Thomas method and Thomas algorithm. 3.3 Gauss-Seidel iteration. 3.4 Problem solving using mathematical software.

Assignment/

Quiz/Test 1

Final Examination



MINGGU

(WEEK) KANDUNGAN

(CONTENT) PENTAKSIRAN

(ASSESSMENT)

5 - 6

7 - 8

8 - 9

10

11 – 12

13 - 14

15

Interpolation (4 hours) 4.1 Lagrange polynomial Interpolation. 4.2 Applications. 4.3 Problem solving using mathematical software.

Numerical Differentiation (3 hours) 5.1 1st derivative: 2-point forward/backward difference, 3-point central difference.

5.2 2nd derivative : 3-point central.

Numerical Integration (3 hours) 6.1 Trapezoidal rule. 6.2 1/3 and 3/8 Simpson’s rule. 6.3 Applications.

Eigen Values (2 hours) 7.1 Power method.

Ordinary Differential Equations (4 hours)

8.1 Initial Value Problems: Taylor’s series (i) Euler

(ii) 2nd order Taylor’s series and 4

th order Runge-Kutta.

8.2 Boundary Value Problems: Boundary condition without

differential terms.

8.3 Applications.

Partial Differential Equations (4 hours)

9.1 Heat equation: explicit finite difference method. 9.2 Wave equation: by explicit finite difference method. 9.3 Laplace and Poisson equations: by explicit finite

difference method.

REVISION WEEK

FINAL EXAMINATION

Assignment /

Quiz/Test 1

Final Examination

Assignment/

Quiz/Test 2

Final Examination

Assignment/

Quiz/Test 2

Final Examination

Assignment /

Quiz/Test 2

Final Examination

Assignment/

Quiz/Test 2

Final Examination

Assignment/

Quiz/Final

Examination

TUGASAN / PROJEK (ASSIGNMENT / PROJECT)

Students need to solve mathematical problems using equivalent method.



PENILAIAN (ASSESSMENT):

1. Kuiz (Quiz)

: 8%

2. Tugasan Kumpulan

(Group Assignment) : 10%

3 Ujian (Test)

- Ujian 1 (Test 1)

- Ujian 2 (Test 2)

:

16%

16%

4. Projek (Project)

: -

5. Lain-lain (Others)

: -

6. Peperiksaan Akhir

(Final Examination) : 50%

Jumlah (Total)

:

100%

RUJUKAN (REFERENCES):

Main References :

(1) Nafisah Md Kamaruddin, et. al. 2008. Numerical Method. Pusat Pengajian Sains, UTHM.

(2) Tay Kim Gaik. 2005. How to use Calculator Casio fx-570MS in Numerical Methods.

Penerbit KUiTTHO.

(3) Tay Kim Gaik, Lim Kian Boon and Rosmila Abdul Kahar. 2011. Numerical Methods

using Casio fx-570ES Calculator. Penerbit KUiTTHO.

Other References :

(4) Burden, L. R. & Faires, J. D. (1997). Numerical Analysis. 6th Ed. Brooks/Cole Publishing Company.

(5) Che Rahim Che Teh (2000). Kaedah Berangka. Cetakan Pertama .Jabatan Matematik, Universiti

Teknologi Malaysia. (6) Laurene Fausett. 2002. Numerical methods using mathCAD, Upper Sadddle River, New Jersey. (7) Steven C. Chapra, Raymond P. Canale. 2002. Numerical methods for engineers: with software and programming applications, 4th Edition. Boston: McGraw-Hill.

(8) J. N. Sharma. 2004. Numerical methods for engineers and scientists, Pangbourne: Alpha Science International.

(9) John H. Mathews, Kurtis D. Fink. 2004. Numerical methods using MATLAB, 4th Edition. US

Upper Saddle River, NJ: Pearson Education. (10) Jaan Kiusalaas. 2005. Numerical methods in engineering with MATLAB, Cambridge: Cambridge University Press.

(11) D. V. Griffiths, I. M. Smith. 2006. Numerical methods for engineers, 2th Edition. Boca Raton, FL: Chapman & Hall.

(12) Chapra, S.C. & Canale R.P. (2005). Numerical Methods for Engineers. 5th Ed. Boston: Mc Graw Hill



KEHADIRAN / PERATURAN SEMASA KULIAH (LECTURE ATTENDANCE / REGULATION)

(1) Pelajar mesti hadir tidak kurang dari 80% masa pertemuan yang ditentukan bagi sesuatu kursus termasuk kursus Hadir Wajib (HW) dan kursus Hadir Sahaja (HS).

Students must attend lectures not less than 80% of the contact hours for every course

including Compulsory Attendance Courses (Hadir Wajib – HW) and Attendance

Only Courses (Hadir Sahaja – HS)

(2) Pelajar yang tidak memenuhi perkara (1) di atas tidak dibenarkan menghadiri kuliah dan menduduki sebarang bentuk penilaian selanjutnya. Markah sifar (0) akan diberikan kepada

pelajar yang gagal memenuhi perkara (1). Manakala untuk kursus Hadir Wajib (HW), pelajar

yang gagal memenuhi perkara (1) akan diberi Hadir Gagal (HG).

Students who do not fulfill item (1) will not be allowed to attend further lectures and

sit for any further examination. Zero mark (0) will be given to students who fail to

comply with item (1). While for Compulsory Attendance Courses (Hadir Wajib –

HW), those who fail to comply with item (1) will be given Failure Attendance (Hadir

Gagal – HG).

(3) Pelajar perlu mengikut dan patuh kepada peraturan berpakaian yang berkuatkuasa dan menjaga disiplin diri masing-masing untuk mengelakkan dari tindakan tatatertib diambil terhadap

pelajar.

Students must obey all rules and regulations of the university and must discipline

themselves in order to avoid any disciplinary actions against them.

(4) Pelajar perlu mematuhi peraturan keselamatan semasa pengajaran dan pembelajaran.

Student must obey safety regulations during learning and teaching process.

MATRIK HASIL PEMBELAJARAN KURSUS DAN HASIL PEMBELAJARAN PROGRAM

(COURSE LEARNING OUTCOMES AND PROGRAMME LEARNING OUTCOMES MATRIX)

Dilampirkan (Attached)

RPP-04 / Prosedur Perlaksanaan Kuliah Edisi: 3 / No. Semakan: 0

Course Learning Outcome, Delivery and Assessment

Faculty: Faculty of Science, Technology and Human Development This document to be used together with:

Programme: Bachelor Degree of Electrical Engineering 1. Programme Educational Objective (PEO)

Course: Engineering Mathematics IV 2. Programme Learning Outcome (PLO)

Code: BWM 30602

Compliance to PLO

Course Learning Outcomes LO-1

LO-2

LO-3

LO-4

LO-5

LO-6

LO-7

LO-8

LO-9

LO-10

Delivery Assessment KPI

1 Examine the numerical methods to solve engineering problems

X Lecture / Tutorial

Final Examination / Test / Quizzes / Assignment

50% obtain at least grade C and above

C4

2 Critically performs a presentation/report for a guided PBL assignment/projects

X

Lecture / Tutorial Group Assignment 50% obtain at least grade C and above

P2

3 Independently proceeds lifelong learning in a guided PBL assignment/projects

X

Lecture Group Assignment 50% obtain at least grade C and above

A2

Level of Learning Taxonomy

Psychomotor Cognitive Affective

P1 Perception C1 Knowledge A1 Receiving

P2 Set C2 Comprehension A2 Responding

P3 Guided Response C3 Application A3 Valuing

P4 Mechanism C4 Analysis A4 Organising

P5 Complex Overt Response C5 Synthesis A5 Internalising

P6 Adaptation C6 Evaluation

P7 Origination

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