IL NUOVO MASTER24
LARTEDICOMUNICARE
E PUBLICSPEAKING
I modulo  numero 1
le competenze manageriali
Questa unit didattica dedicata alle abilit di comunicazione e public speaking la prima del primo modulo relativo alle competenze manageriali, ritenute essen
SEMINARIO
I PRO E CONTRO DELLITALICUM *
A cura di Alessandro Gigliotti
SOMMARIO: 1. Alessandro Gigliotti, Introduzione. 2. Fulco Lanchester, Innovations institutionnelles et sparation des pouvoirs:considrations sur le
dangereux chevauchement des diffrent
UNIONE EUROPEA
REGIONE CALABRIA
REPUBBLICA ITALIANA
POR CALABRIA FESRFSE 20142020
ASSE III COMPETITIVIT DEI SISTEMI PRODUTTIVI
Obiettivo specifico 3.1 Rilancio della propensione agli investimenti del sistema produttivo
Azione 3.1.1 Aiuti per investiment
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WALKING COLUMN DETAIL (ALTERNATE)
S2
SCALE: 1/4" = 1'0"
12
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DR STRANGE E LA CITTA DEL FUTURO
Da Matrix, passando per Inception fino a Dr. Strange: cosa i scifi movies anticipano
ed insegnano sulle citt del futuro.
Tra 20 anni forse riusciremo a modificare la direzione di una strada o la facciata di
una edificio a
BIG NYC Project Folder Structure
rev.6 20150206
*This is not the full manual or explanation. Contact Armen with questions or for an introduction at phase start*

AT CONCEPT PHASE START

Incoming project material from the client goes in a folder in 0
IB Mathematics HL
Whats Your Position On Vectors?
Position Vectors and Base Vectors
Every point P(x,y) in 2 has a corresponding position vector p , where O is the Origin.
P(x,y)
p
O
The points (1,0) and (0,1) have position vectors i and j respectively
Warm up
I 0:
(a) 19: l .sn: Sy (m)
3 12
ThepointsP(l.2,3),Q(2,l.0), R(0,5,l)andStbnnapamllelogmm,whereS Poms =(,5,_2) Al
is diagonally opposite Q.
12 lab]
(3) Find the coordinates of S. [2 marks] I 2
13 m Fo=[I] Fs=[4] M
(b) nevectorp
1.
The area of the triangle shown below is 2.21 cm2. The length of the shortest side is x cm and
the other two sides are 3x cm and (x + 3) cm.
x
3x
x+3
(a)
Using the formula for the area of the triangle, write down an expression for sin in
terms of x.
(2)
IB Math SL year 2
Past paper questions Vectors (question set #1)
1.
3
2
Find the cosine of the angle between the two vectors and .
4
1
2.
The vectors i , j are unit vectors along the xaxis and yaxis respectively.
(Total 6 marks)
The vectors u = i
IB HL Vectors Worksheet
Complete the following problems on a separate sheet of paper, showing all your steps.
2.
Find the value of a for which the following system of equations does not have a unique solution.
4x y + 2z = 1
2x + 3y
= 6
x 2y + az =
7
2
(To
Week I : Entrepreneurship
Entreprendre (French) to undertake, To commit oneself to and begin (responsibility). To do business
means To begin something and commit to it (be responsible)
The Entrepreneurial Mindset
Internal locus of control
Tolerance for
Measures of
variability
TOPIC 13
Range, variance, and
standard deviation
is considered the easiest to obtain measure of dispersion, since it is just a
RANGE Itmatter
of subtracting the maximum value of the data, minus the minimum
value of the same data.
R
PROBABILITY
Topic 14
Basic principles of probability
It is the procedure in which we observe the results in certain conditions;
these can bedeterministic experiments,which is when we have the
EXPERIMENT same result as long as we are under the same conditi
Measures of central
tendency
Topic 12
Central tendency measures are
divided in 2 groups
ungrouped data and grouped data
ungrouped
data
MEAN, MEDIAN, MODE
MEAN
Problem 1
Find the mean of these values: 3, 3, 4, 5,
6, 7, 8, 9, 9, 9
ungrouped
data
MEAN, MEDIA
Math 115 (20062007) YumTong Siu
1
Divison of Complex Numbers, Square Roots, HigherOrder Roots,
MultipleAngle Formulae, and Trigonometric Sums
(1) To divide +i by +i, we make the denominator root by multiplying
both the numerator and the denominator by
Math 115 (20062007) YumTong Siu
1
Homework Assigned on October 26, 2006
due November 7, 2006
Problem 1 (fluid flow in a channel through a slit). Let Q be a positive
number. (a) Find a bounded harmonic function u on the upper halfplane so
that
(i) its b
Math 115 (20062007) YumTong Siu
1
Legendre Transformation
Two Ways to Define a Plane Curve. Usually a plane curve in the xyplane
is defined by y = f (x). This way is to define it as the locus of a point
(x, y) subject to the constraint y = f (x). There
Math 115 (20062007) YumTong Siu
1
Homework Assigned on November 16, 2006
due November 28, 2006
Problem 1 (Poissons Integral Formula for the Exterior of a Circle [#4 on
p.167 of Strauss]). Suppose u is a bounded twice continuously differentiable
function
Math 115 (20062007) YumTong Siu
1
Homework Assigned on November 30, 2006
due December 12, 2006
Problem 1 (#5 on p.64 of Gelfand and Fomin). Find the curves for which
the functional
Z x1 p
1 + y2
J[y] =
dx, y(0) = 0
y
0
can have an extrema if
(a) the poi
Math 115 (20062007) YumTong Siu
1
Lagrange Multipliers and Variational Problems with Constraints
Integral Constraints. Consider the variational problem of finding the extremals for the functional
Z b
F (x, y, y ) dx
J[y] =
a
with y(a) = A and y(b) = B s
Math 115 (20062007) YumTong Siu
1
Legendre Functions and the Laplace Equation
in Spherical Coordinates
Dirichlet Problem on the Unit 3Dimensional Unit Ball. We are going to
introduce the (associated) Legendre functions by considering the solution of
th
Math 115 (20062007) YumTong Siu
1
Theorem of CauchyGoursat and Cauchys Integral Formula
Differentiable Functions Satisfying CauchyRiemann Equation Equivalent to
Complex Differentiable. Recall that a realvalued function of two real variables g(x, y) i
Math 115 (20062007) YumTong Siu
1
Math 115 Final Examination with Solutions
January 22, 2007, 2:15 p.m.  5:15 p.m.
Sever 107
Some formulae are provided at the end of the problem list. Not all of them
are necessary for solving the problems.
Problem 1. U
Math 115 (20062007) YumTong Siu
1
Derivation of the Poisson Kernel by
Fourier Series and Convolution
.
We are going to give a second derivation of the Poisson kernel by using
Fourier series and convolution. We also use this derivation as an opportunity
Math 115 (20062007) YumTong Siu
1
Argument Principle
The argument principle helps us determine the number of zeroes of a
holomorphic function on the domain enclosed by a curve in its domain of
definition. To introduce it, let us start out with the well
Math 115 (20062007) YumTong Siu
1
Brachistochrone (Curve of Shortest Time)
Statement of the Problem. The problem is to find a curve from (x, y) =
(0, h) to some point on the vertical line x = a such that when a particle
sliding down the curve by gravity
Math 115 (20062007) YumTong Siu
1
Definite Integrals Evaluated by Contour Integration Over a Half
Circle.
We are going to use Cauchys residue theory over the boundary of a half
disk to evaluate definite integrals of the following form.
Z
P (x)
dx with
Math 115 (20062007) YumTong Siu
1
Derivation of the Poisson Kernel
From the Use of the Argument Function
.
We are going to derive the Poisson kernel by using the argument function
and plane Euclidean geometry. We start out with the basic building block