SBS300 LinkedIn Assignment
Expectations:
Building a LinkedIn account is not something that should be completed the morning or
afternoon before the due date - - Take the two weeks and be thoughtful of creating your
online presence this is more than a grad
Research Topic
I will be discussing Ways to prevent Islamophobia in America for my topic. Speaking as
a Muslim, A lot of people are afraid or intimidated by us because they see extremists such as
Jihad who claim to be fighting in the name of Allah. But wh
1
Hussain Abdalla
Art History
Prof Kiriazis
12/11/16
During this course there are many pieces of art that caught my attention starting from the
Prehistoric Art all the way to Islamic Art. But there is this one piece of art that is outstanding in
my opinio
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Interactive Mathematics
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Chapter Contents
Introduction to Vectors
1. Vector Concepts and Notation
2. Vector Addition in 1-D
3. Vectors in 2 Dimensions
4. Adding Vectors
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Dot Product
These are vectors:
They can be m
LECTURE 2
Today we begin talking about vectors, one of the most important ideas in this class.
As you may have learned in physics, there are scalar quantities and vector quantities.
A scalar quantity is just a magnitude (size), i.e., a number. A vector qu
LECTURE 21
We ended last time with the following facts about the gradient:
The direction in which f increases fastest is exactly the direction of f .
And how fast does f increase in this direction? When = 0, D~u f = kf k. Thus,
The maximum rate of increas
LECTURE 20
Directional Derivatives and the Gradient
Let ~u = ha, bi be a unit vector. We want to understand the rate of change of f (x, y)
in the direction of the vector ha, bi. For this purpose, let ~r(t) = hx0 + at, y0 + bti. This
is a straight line, th
LECTURE 1
Go through syllabus.
Make sure you know your correct discussion section
Test Dates (email ekushnir@math.northwestern.edu if you have a conflict!)
Accessibility
Get access to WebAssign
Canvas: look at syllabus, check grades, find course mate
Multivariable Calculus
Grinshpan
Quadratic approximation at a stationary point
Let f (x, y) be a given function and let (x0 , y0 ) be a point in its domain.
Under proper differentiability conditions one has
f (x, y) = f (x0 , y0 ) + fx (x0 , y0 )(x x0 ) +
Day Date Topic
Section
W
9/21
Three Dimensional Coordinate Systems
10.1
F
9/23
Vectors
10.2
M
9/26
The Dot Product
10.3
W
9/28
The Cross Product
10.4
F
9/30
Equations of Lines
10.5
M
10/3
Equations of Planes
10.5
W
10/5
Cylinders and Quadric Surfaces
10.6
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LECTURE 23
Absolute Maxima and Minima
Extreme Value Theorem
A continuous function f (x) on a closed, bounded interval has an absolute maximum
and an absolute minimum. Recall: absolute extrema always occur at critical points or
at boundary points.
Now we w
LECTURE 19
In our previous class, we learned that linear approximations are an application of the
first partial derivatives. Today, we will learn about quadratic approximations, which
are an application of second partial derivatives. Thus, our goal is to
LECTURE 12
Earlier, we began using calculus to study curves in space; we learned about the
tangent vector ~r0 (t) and how it allows us to find the tangent line at a point. Today, we
want to understand some trickier things about curves in space, arc length
LECTURE 22
Our nal project is to understand maxima and minima for multivariable functions
which 1s 11 7 and 11.8 in your book.
Local Extrema
Recall from single-variable calculus:
ti
f. has a local maximum at c1 and a local minimum at c2. Now we want to
LECTURE 3
Suppose 'u (a1, a2, a3) is an arbitrary vector. Notice that 17' (a1,0,0)+ (0,112, 0) +
(0,0,a3) And this last thing 15 equal to a1(1, 0,0) + (12(0, 1,0) + a3(0,0, 1).
_5
The vectors (1,0,0), (0,1,0) and (0,0,1) are typically written 1', j, k res
LECTURE 19
Today we upgrade the Chain Rule to functions of multiple variables. Remember that
the Chain Rule has to do with rates of change when functions are composed; its really
important for related rates problems.
It also relates to my field, dynamical
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Business Mathematics
Prof. McNamara
Exam for Module 6
May 8, 2015
Chapter 4 Pages 141/142 Prof there are no calculations for this page, answers are taken
from a checking account statement page
P2. $5,283.17
P4. $0
P6. 3/15
P8. $6,982.68
Chapter 15 Page 56