ME2500
Chap
10
ME 2500
NUMERICAL METHODS FOR ENGINEERS & SCIENTISTS
ORDINARY DIFFERENTIAL EQUATIONS: IVP
FARHAT
H.
ME250
0
Chap.1
0
Background
A differential equation is one that contains derivatives of an unknown function. Differential
equation that has

ME2500
REV 1
ME 2500
NUMERICAL METHODS FOR ENGINEERS & SCIENTISTS
MIDTERM REVIES
H. FARHAT
Numbers on Computers
ME250
0
Chap.1
Representation of Numbers on A Computer
1. Decimal and binary representation:
In the decimal system a number is represented as m

ME250
0
Chap.4
ME 2500
NUMERICAL METHODS FOR ENGINEERS & SCIENTISTS
SOLVING SYSTEM OF LINEAR EQUATIONS
FARHAT
H.
ME250
0
Chap.4
Background
Many engineering problems solutions involve system of linear equation. Usually the
number of unknown is equal to the

ME250
0
Chap.6
ME 2500
NUMERICAL METHODS FOR ENGINEERS & SCIENTISTS
CURVE FITTING AND INTERPOLATION
H. FARHAT
ME250
0
Chap.6
Background
Many engineering problem are governed by equations, which basically describe a set
of experimentation results. This is

ME250
0
Chap.9
ME 2500
NUMERICAL METHODS FOR ENGINEERS & SCIENTISTS
NUMERICAL INTEGRATION
H. FARHAT
ME250
0
Chap.9
Background
Integration is frequently used in engineering and science. To measure the length of the curve
b
2
between two points we use the f

PSG College of Technology, Coimbatore 641 004
Department of Production Engineering
08P601 Design of Machine Elements, Tutorial II
1. A metal has strength of 689 MPa at its elastic limit and the strain at that point is 0.006. What is its
modulus of elastic

ME250
0
Chap.8
ME 2500
NUMERICAL METHODS FOR ENGINEERS & SCIENTISTS
NUMERICAL DIFFERENTIATION
H. FARHAT
ME250
0
Chap.8
Background
Differentiation calculates the rate of change of certain quantity
x f t
df t
v
dt
a
d2 f t
dt 2
dv t
dt
Since experimental

ME250
0
Chap.3
ME 2500
NUMERICAL METHODS FOR ENGINEERS & SCIENTISTS
SOLVING NONLINEAR EQUATIONS
FARHAT
H.
ME250
0
Chap.3
Background
Solutions to engineering equations are called roots. Roots are intersections with x
axis.
For a given value for area inside

ME250
0
Chap.1
ME 2500
NUMERICAL METHODS FOR ENGINEERS & SCIENTISTS
INTRODUCTION
H. FARHAT
ME250
0
Chap.1
Background
Numerical solutions are useful when analytical solutions to problems are not feasible.
F
mg
cos sin
For a given value for F it is not po

Chapter 3. Structure and
Manufacturing Properties of Metals
ME 3450
Department of Mechanical Engineering
Wayne State University
Outline
A brief review of crystal structure of metals
Focus on the effect of thermomechanical
process (deformation and heat t

ME3450
Manufacturing Processes for
Engineering Materials
Introduction
&
Product and Process Design
Xin Wu, Associate Professor
Mechanical Engineering, Wayne State University
xwu@eng.wayne.edu/313-577-3882
History of Manufacturing
History of Manufacturing

ME 3450
Chapter 08
Material Removal
Prof. Xin Wu
Mechanical Engineering
Wayne State University
Main Focus
Understand the mechanics of orthogonal
cutting and the theory of chip formation, and
be able to analyze cutting forces,
Be able to calculate the cutt