Homework (Use A4 to answer all the problems. Box your final answer)
Deadline: May 16, 2016, 12nn at IED Faculty Room
1. Apple Crisp Foods signed a contract some years ago for maintenance services on its fleet of trucks and cars. The
contract is up for ren
6/30/11
Locus of Equations
Functions and
Relations
The locus of an equation is a curve
containing those points, whose
coordinates satisfy the equation.
A point lies on a curve if and only if its
coordinates satisfy the equation of the
curve.
"
Exam
6/30/11
Quiz
1. What is a sequence?
2. Give an expression for the n-th term of
the sequence whose first four terms are
Monotone
Convergence
Theorem
3. Use the definition to show that
Convergent Sequences
Convergent Sequences
Monotone Convergence
Theorem
E
6/23/11
Sequences
Sequences
of Real Numbers
List of numbers in a definite order
Function whose domain is the set of natural
numbers
Behavior of the sequence as n tends to
infinity
Examples
Limit of a Sequence
The sequence
we write
has the limit L and
i
7/3/11
Quiz
1. When is a sequence increasing?
Parabola
Decreasing?
2. What is a lower bound of a sequence?
Upper bound?
3. Show that
is convergent.
"
Standard Equations
Example
Vertex:
vertex
p
distance of vertex from focus
and directrix
Example
Opening u
6/18/11
Peanos Postulates
Axiomatic Development
of the
Real Number System
P1: 1 is an element of the set X.
P2: For each element
there is a
unique
called the successor of n.
P3: For each
P4: If
are distinct, then
P5: Let
and
If for all
then
Construction o
6/18/11
Well-Ordering Principle
Every non-empty subset of the set of
natural numbers has a least element.
Well-Ordering
Principle
This follows from the Peanos fifth
postulate.
Well-Ordering Principle
Proof:
By contradiction
Suppose that there is a non-emp
7/6/11
Ellipse
Ellipse
An ellipse is the set of points on a
plane the sum of whose distances from
two fixed points is a constant.
"
Standard Equation
Properties
The points (a,0) and (-a,0) are called
2c is the distance between the two
foci
2a is the co
IE 150 SYSTEMS EVALUATION
PRACTICE SET
1. Julie has a low credit rating, plus she was furloughed from her job 2 months ago. She has a new job starting
next week and expects a salary to start again in a couple of weeks. Since she is a little short on money
IE 150 SYSTEMS EVALUATION
PRACTICE SET
1. Julie has a low credit rating, plus she was furloughed from her job 2 months ago. She has a
new job starting next week and expects a salary to start again in a couple of weeks. Since
she is a little short on money
VALIN, Kevin Ardie S.
2008-19255
Assignment 1
Aug. 13, 2015
IE 150 U
Career Opportunities for BS Agricultural Engineering Students:
The responsibilities of an Agricultural Engineer include:
Work in the agricultural industry to design structures, equipment
VALIN, Kevin Ardie S.
2008-19255
Assignment 1
Aug. 13, 2015
IE 150 U
Career Opportunities for BS Agricultural Engineering Students:
The responsibilities of an Agricultural Engineer include:
Work in the agricultural industry to design structures, equipmen