Mechanical Properties of Selected Carbon and Alloy Steels
British Standard Metric keyways for Square and Rectangular Parallel Keys BS4235:Part I: 1972 (1986)
ME3905: Numerical Methods
79
ME3905  Syllabus
Errors, Introduction to Mathematical Modelling and Computational
Methods
Solutions to Nonlinear Equations
Numerical Difference and Integration
Simultaneous Linear Equations
Eigenvalue Problems
Curve Fit
ME3901 Project Design Realization
Design of Mechanical Components
Dr Udaya Kahangamage
Teaching Fellow
Room FG623, FG Core
Dept of Mechanical Engineering
The Hong Kong Polytechnic University
Office Tel
Mobile
Email
ME3901 Project Design Realization
:2766
ME3901 Project Design Realization
Materials Selection for Engineering Design
Dr Udaya Kahangamage
Teaching Fellow
Room FJ606
Dept of Mechanical Engineering
The Hong Kong Polytechnic University
Office Tel
Mobile
Email
ME3901 Project Design Realization
:340
ME3905 Numerical Methods
Exercise Problems
System of Simultaneous Linear Equations
Problem 1.1
This problem is taken from the textbook, S.C. Chapra and R.R. Canale, Numerical Methods for
Engineers, McGrawHill, 6th Edition
Problem 1.2
This problem is take
ME3901 Project Design Realization
Project Examples
Dr Udaya Kahangamage
Teaching Fellow
Room FG623, FG Core
Dept of Mechanical Engineering
The Hong Kong Polytechnic University
Office Tel
Mobile
Email
ME3901 Project Design Realization
:2766 7820
:5170 0829
ME3901 Project Design Realization
Design Process and Methods
Dr Udaya Kahangamage
Teaching Fellow
Room FG623, FG Core
Dept of Mechanical Engineering
The Hong Kong Polytechnic University
Office Tel
Mobile
Email
ME3901 Project Design Realization
:2766 7820
Lecture 3 (revised Jan 28, 2010)
Imaginary Numbers
i=
i2 = 1,
1
i3 = i,
i4 = 1
Quadratic Formula
x=
b
b2 4ac
2a
x2 + 2x + 4 = 0
Example:
x=
2
22 4(1)(4)
2(1)
= 2
12 = 1 3 i
Complex Numbers
z = a + bi
z = a bi
(conjugate)
a and b are real numbers.
Multip
AMA 294 (January 2014)
Prof. Kwong Man Kam
Textbook: Basic Engineering Mathematics (Chan, Chan & Hung)
Linear Algebra (2+ weeks)
 eigenvalues, eigenvectors
Complex Analysis (2+ wks)

functions of a complex variable
differentiability,
CauchyRiemann co
Lecture 2 (revised Jan 28,2010)
Symmetric Matrices
A = AT
(transpose)
(Some people write A instead of AT .)
For example
A=
4
B=1
3
4 1
C = 2 2
6 2
3 2
2 6
1 3
2 5 diagonal
5 0
3
1 is NOT
4
Problem: Find the eigenvalues and eigenvectors of A.
1 = 2,
2 = 7,
ME3905: Numerical Methods
148
ME3905  Syllabus
Errors, Introduction to Mathematical Modelling and
Computational Methods
Solutions to Nonlinear Equations
Numerical Difference and Integration
Simultaneous Linear Equations
Eigenvalue Problems
Standard Eige
ME3901 Project Design Realization
ME3901 PROJECT DESIGN REALISATION
Computer Aided Design and Manufacturing (CAD/CAM)
In engineering practice, CAD/CAM has been utilized in different ways by different people, including its use:
To produce drawings and docu
ME3905 Numerical Methods
Assignment 1
Issue date: 5th Feb 2015
Due date: 26th Feb 2015
1: Solutions of NonLinear Equations
For an aircraft, the ability to climb in altitude and to climb steeply is critical for flight safety. This
performance parameter is
ME3905 Numerical Methods
Assignment 2
Issue date: 02nd April 2015
Due date: 17th April 2015
1: System of SimultaneousLinear Equations
1.1: Cramers rule
Use the Cramers rule to solve for the unknowns x1 and x2 of the following system of
simultaneous linea
ME3901 Project Design Realization
Group Formation
Dr Udaya Kahangamage
Teaching Fellow
Room FG623, FG Core
Dept of Mechanical Engineering
The Hong Kong Polytechnic University
Office Tel
Mobile
Email
ME3901 Project Design Realization
:2766 7820
:5170 0829
ME3905 Numerical Methods
Exercise Problems
Linear Regression
The following problems are taken from the textbook, S.C. Chapra and R.R. Canale, Numerical
Methods for Engineers, McGrawHill, 6th Edition
Problem 1.1
Use leastsquares regression to fit a strai
ME3901 Project Design Realization
ME3901 Project Design Realization
Tutorial Model Answers
1. Assume that you are a design team member assigned to design an important structural
module of a spacecraft. You have been asked to use a small safety factor for
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ME3901 Project Design Realization
ME3901 Project Design Realization
Tutorial
1. Assume that you are a design team member assigned to design an important structural
module of a spacecraft. You have been asked to use a small safety factor for the design to
ME3905 Numerical Methods
Exercise Problems
Lagrangian Interpolation and Newtons Interpolating Polynomial
Problem 1.1
This problem is taken from the textbook, S.C. Chapra and R.R. Canale, Numerical Methods for
Engineers, McGrawHill, 6th Edition
Problem 1.
ME3901 Project Design Realization
Introduction
Dr Udaya Kahangamage
Teaching Fellow
Room FG623, FG Core
Dept of Mechanical Engineering
The Hong Kong Polytechnic University
Office Tel
Mobile
Email
ME3901 Project Design Realization
:2766 7820
:5170 0829
:mm
DEPARTMENT OF MECHANICAL ENGINEERING
THE HONG KONG POLYTECHNIC UNIVERSITY
ME3901 PROJECTDESIGN REALIZATION
PROJECT MANAGEMENT AND TEAMWORK SKILLS
As a student of
engineering, you may ask, "Why is this chapter necessary? Why is the topic
Objectives
import