Mathematical Modelling 2
Lecture 7: Introduction to Inference
Danica Solina
School of Mathematical Sciences
MM2: Statistics
- Lecture 7 -
1
Revision: Populations and Samples
Samples
Populations
The data that we actually have and can use The complete colle
Recall:
Implicit Differentiation
Recall that a function can be defined explicitly:
or implicitly:
Now let x = t, and y = y(x) = y(x(t). Then using
the chain rule on F(x,y), we can find dy/dx:
Example: Find y if x3 -2 x y + y2 = 1.
Vectors: revision
A vect
Mathematical Modelling 2
Lecture 10: Inference for Proportions
Danica Solina
School of Mathematical & Physical Sciences
MM2: Statistics
- Lecture 10 -
1
Inference for Proportions
Reference: Devore 7.2, 8.3, 8.4, and 9.4
In this case, we are looking at t
Recall: for polar coordinates,
x = r cos
y = r sin
dxdy
rdrd
Example (important for statistics): Use polar coordinates to evaluate
x2
e
dx
Example: Show that the area of a circle is R2
General change of coordinates:
We can write a new coordinate system
Recall:
The gradient of a function of three variables is defined as
f =
f f f
,
,
x y z
The gradient is a vector that:
1. points in the direction of maximum increase
of the function
2. Is perpendicular to the level curves
of the function
At maxima and min
Mathematical Modelling 2
Lecture 8: Inference for Means (continued)
Danica Solina
School of Mathematical & Physical Sciences
MM2: Statistics
- Lecture 8 -
1
Outline
Reference: Devore 8.1
Last week we began talking about hypothesis testing, and in
particu
So far in 2D integration:
Given a function f(x,y) on a domain D,
D = cfw_(x, y)|a x b , g (x) y gu (x)
y
gu(x)
y
gl(x)
x
a
the integral of a function f(x,y) over this domain is
b
f (x, y)dx dy =
f dA =
D
gu (x)
D
f (x, y) dy dx
a
g (x)
b
x
y
Example: Inte
37131: Introduction to
Linear Dynamical Systems
Seminar 2, Week 7
UTS:SCIENCE
UTS CRICOS PROVIDER CODE: 00099F
science.uts.edu.au
PREVIEW:
In this class we will learn about how to solve linear differential equations with forcing
functions and applications
37131: Introduction to
Linear Dynamical Systems
Seminar 1, Week 7
UTS CRICOS PROVIDER CODE: 00099F
UTS:SCIENCE
science.uts.edu.au
WEEK 6: RECAP
Imaginary numbers i 1
Complex numbers, with real and imaginary parts
Cartesian form: z a bi
Polar forms:
T
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o
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1. Which of the following lists events in chronological order from earliest to latest?
A. date of record, declaration date, ex-dividend date.
B. date of record, ex-dividend date, declaration date.
C. declaration date, date of record, ex-dividend date.
D.
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Exam 2: Sample
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Unit 3
Chapter 13
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o Not a separate legal entity
No difference between business and entrepreneur
But it is a separate accounting entity.
For tax purposes
o Total Liability for unpaid debts
The franchise
o Organization selling to fran
Music Review
Vocal instrumental piece that includes drama acting costumes orchestra and star solo: Opera
Star soloist is accompanied by the orchestra: Aria
Vocal style that imitates the reflection of speech: recitative
Ensemble: song sang by 2 or more sta
MGMT Final Study Guide
Chapter 1 6Q
Types of strategies (5)
o Concentration strategy
Focusing on increasing market share, reducing costs, or
creating and maintaining a market niche for products and
services
o Internal growth strategy
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Crime
Simply a violation of the criminal law. It is the fact that it violates
the law that differentiates crime from other forms of deviance.
All crimes are forms of deviance.
EX: rape, murder
Deviance
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Sam M. Walton College of Business
University of Arkansas
Fayetteville, Arkansas
Spring 2015
Department of Management
Daanish D. Pestonjee
440 WCOB
E-mail: dpestonj@uark.edu
Phone: 510-370-0157
Course Syllabus
MGMT 2103 Managing People and Organizations
T/
People
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Questions meritocracy
Marx
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Those who owned the means of production were the capitalists
and they stood at the pinnacle of the stratification system.
Members of
Chapter 17: Real Property
Nature of real property.
Fee simple v. Life estate.
Concurrent ownership.
Acquiring ownership.
Leasehold interests.
Easements and
restrictive covenants.
Eminent domain.
Sec. 1: Nature of real property:
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Music Literature
Romanticism Music (1820-1900)
Music as Passion and Individualism
o French Revolution
French Revolution bourgeois society, Liberty, economy,
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Sympathy for the oppressed
Works of art centered on peasants, workers, children, an
Scranton 4521
Music Lit Study Guide
5 structural elements
o Harmony is like a painting, many colors
o Melody has most appeal
o Rhythm has most time
o Sound has a pitch (relative highs and lows)
o Dynamics relative loudness or softness
Tone color timbre, t