Pressure Driven Flow through a Horizantal Circular Pipe
A fluid of constant density and viscosity flows through a horizontal pipe of
radius R and length L shown in figure below. The pressures at the centers of the
inlet and exit are p 1 and p 2 , respecti
MECHENG 712 AEROHYDRODYNAMICS 2013
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2. Fluid Flow Equations and 2D Flow: Problem Sheet
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In relation to conservation of mass, sketch how you might expect the product u to vary in the x direction
across
Inner Products and
Orthogonality
5.1 Orthogonal and orthonormal bases
Read Section 62857.9 Contemporary Linear Algebra ANTON
8; BUSBY, pages 280294&406416
For assignment/test practise do ex 14&16.
Denition 5.1. (a) A basis {V1, V2, ., vn} of an n-
Futures
FIN 261
Lecture Notes Ch. 17
1
Forward Market
Spot markets are markets for immediate delivery
A spot price refers to the current market price of the
underlying asset
Forward markets are markets for deferred delivery
An agreement or commitment to b
Bonds
FIN 261
Lecture Notes Ch. 10, 11
1
Bond
Bond
Security that obligates issuer to make payments to
holder over time
Face Value, Par Value
Payment to bondholder at maturity of bond
Coupon Rate
Bonds annual interest payment per dollar of par
value
Index Model and APT
FIN 261
Lecture Notes Ch. 7
1
Single Index (Factor) Model
IndexModel:amodelofsecurityreturnsusingan
indexsuchastheS&P500torepresentcommonor
systematicrisk(factor)
Eachstockjreturnfluctuateswiththesinglefactor,
typicallyabroadmarketin
Math and Stats Review
FIN 261
1
Random Variable
Variablewhosevalueissubjectto
variationsduetochance
Examples:
Returnfromariskyinvestment
Payofffromagameinwhichyou
chooseonecaseoutoftwo
containingeithernothingor1million
dollars
Mostcommonlyusedmeasuresto
s
2.4 Taylor Series
Example 2.4.12 Find the Taylor series for sinw about
71
the centre 0 = Z.
Example 2.4.13
(b) Find d3: = f Si dm.
I 3.1 Review: Substitution
Example 3.1.2 Find the following integrals by substi-
tution:
(a) f(1
6.6 Discrete Dynamical Systems 113
Introduction
Read Section 5.1 Contemporary Linear Algebra ANTON &
BUSBY, pages 2257235
Processes which evolve through time, like
0 the invasion of new territory by an introduced bio-
logical species,
0 the growth