Numerical Computations

KM3043 Numerical Computation (Pengiraan Berangka)

Lecturers

Prof Ir Dr Ahmad Kamal Ariffin Bin Mohd Ihsan (7 weeks).

Prof Dr Prakash Thamburaja (7 weeks).

www.ukm.my/kamal3/cm

Timetable

Lecture	Monday	10 am – 12 pm	DK5
	Wednesday	8 am – 9 am	DK2

Akademic calender

Course structure

Course outcomes

At the end of this course, students are able to to analyse complex engineering problems by transforming it into simple and logic using numerical computations (PO1); to apply basic science and engineering principles to solve complex problem numerically (PO2); to solve engineering structures or systems using numerical methods by the aids of computer softwares (PO3); to integrate engineering analysis (including load and stress analysis) with selected appropriate numerical technique to solve a given real engineering problem (PO3).

PO1 – Engineering knowledge

PO2 – Problem analysis

PO3 – Design and development of solutions

Advice: One hour of class, the student should make his own reading of at least 2 hours. The number of hours should be increased for students who are weak or have a low grade especially below 2.5.

Suppose you take 15 units, the total number of courses including lectures is at least 40 hours. This means that if you study 5 days a week, the time to study for yourself is at least 5 hours. If 6 days at least 4 hours and 7 days at least 3 hours 30 mins.

If this is followed by this advice, I believe students will have no problem understanding, do not know the application, not enough training, can not do computer programming.

Details

Week	Topic/Chapter/Note	Descriptions/Assignments	Lecturer
1 2	1. Errors, Computer, Software & Apps/pdf	PART ONE Examples of the applications of numerical methods. Assignment #1 – What is the definition of Numerical/Computational Method (CM)? Why must use CM? What other topics provided by other university? Give any other useful website. Self excercise from Bab 1 using MATLAB Download scilab, and Search for ‘scilab note pdf’ Assignment #2 – Compare the MATLAB & SCILAB source code for the problems in Bab 1. Motivation #1: What should I do as a student? Comparison of understanding such as level # below; content in class ############ student understanding I #### student understanding II ####### effort after class ############################### (through reference books, exercises, understanding can be multiplied)	AKA
3 4	2. Systems of Non-Linear Equations/pdf	PART TWO Closed methods, Open methods, Polynomial roots, Applications of Roots of Equations Assignment #3 [Exercise 1] [excel programming e.g.] Motivation #2: What check-list should I have? 1. 1. Come to class 2. 2. Review lecture notes 3. 3. Review of reference books (Chapra or so) 4. 4. Complete the tasks & questions 5. 5. Run programming (excel, MATLAB, SCILAB or others) 6. 6. Discussion in the group 7. 7. Appointment with lecturer if necessary Not only this subject should follow this check-list but all the subjects. Your understanding will be multiplied. "Saya manusia biasa yang menjadi luar biasa setelah mengenalpasti potensi diri dan membuat keputusan untuk berkongsi dengan lebih ramai lagi orang lain untuk menjadi luar biasa!" – Dr. Azizan Osman	AKA
5 6	3. Systems of Linear Equations /pdf	PART THREE Gauss elimination [Gauss.xls], LU decomposition & Iteration methods Applications of Linear System of Equations Contoh Jacobi & Gauss-Seidel.xls Assignment #4, quiz Exercise 2	PT
		Semester break
7	4. Optimisation/pdf	PART FOUR Assignment #5 Exercise 3	PT
8	5. Interpolation and curve fitting/pdf	PART FIVE Regression Splin Fourier Applications of interpolation and curve fitting Assignment #6 Exercise 4	PT
9	6. Numerical integrations/pdf	PART SIX Gauss quadrature integration Application of Numerical Integration Assignment #7 Exercise 5	PT
10 11	7. Ordinary differential equations/pdf	PART SEVEN Runge Kutta Application of ODE Assignment #8 Exercise 6;	PT
12 13	8. Partial differential equations /pdf	PART EIGHT Runge Kutta Application of PDE Assignment #9 Exercise 7	AKA
14	Project presentation
		Study week
	Exam week - Final exam KM3043/KQ3014 ‘SELAMAT MAJU JAYA’ Past year questions \|02/03\|04/05\|05/06\|06/07\|07/08\|