Math 130 Third Long Examination
I.Dene/state the following terms briey and completely. Provide an illustration or example for items 3-4.
(3 pts each)
2. The riemann sum of a real-valued function conti
GROUP 2
FIBONACCI SEQUENCE
W H AT I S T H E
FIBONACCI SEQUENCE?
W H AT I S T H E F I B O N A C C I S E Q U E N C E ?
It is the series of numbers wherein the next number is
found by adding the 2 numbe
FRACTALS
What are FRACTALS?
- An object or quantity that forms a never ending
pattern which repeats at different scales (selfsimilarity)
- Complex but made by a simple repeating process
- can be mathe
FRACTALS IN THE
HUMAN BODY
& NATURE
R I G O R , R O D U L F O, R O N DA I N , R O S A L E S ,
R O Y E C A , S A L A N D A N A N , S A LV A D O R
Fractals in the Human Body
Human Body: Lungs
The bronch
TOPIC: MATH IN ART I
(VISUAL ARTS AND DESIGN)
By: Group 13
RELATIONSHIP OF MATH AND ART
1. Mathematics and art are related in a variety of
ways. Mathematics has itself been described as an
art motivat
Mathematics in Medical and Life
Sciences
Life without Math is like living on Earth without land
The Field of Medicine
Ophthalmology
The measuring of the clarity of vision is an
obvious way in which Ma
THE GOLDEN
RATIO
A Report by Group 18
MATH 1 WFX
The Myth Of The Golden Ratio
Definition:
Phi- = a Greek term inspired by a Greek sculptor named Phidias
1.618
*It is the division of a length into a la
Math in Literature
GROUP 9
Francis Flores, Christian Paul Francisco,
Karl Angelo Francisco, Jasmine Gabbuat, Kathleen Gabriel,
Justine Maria Regina Galandines, Eira Chariz Galang
I. INTRODUCTION
II. S
MATH IN SOCIAL SCIENCES II
GRAPHS AND NETWORKS
Group
3
BRIDGES IN
KNIGSBERG
Problem:
Knigsberg is divided into four
parts by the river Pregel, and
connected by seven bridges. Is
it possible to tour Kn
-the
wave of a single perfect musical
note of a specific frequency
-Standard
Frequency
- Guitar Tuning
Fundamental a.k.a. primary frequency;
the lowest sound (or harmonic) in the
harmonic series
Overt
Math in Social Sciences II
Group 21
Small World
Networks
Definition
A network where the typical
distance L between two
randomly chosen nodes (the
number of steps required)
grows proportionally to the
Mathematics in Art
GROUP 13
LIMPOT | LOGMAO | LONTOK | LUCINARIO | MACABODBOD | MADERAZO | MADRID
MATHEMATICS: the study of numbers, quantities,
shapes and the relations between them
ART: something th
MATHEMATICS 17
EXERCISE 14
I. Evaluate the following and express your answers in
rectangular form.
1.
3
2
1i
2
8cis120
2. (2cis60 )2
3.
1
cis60
2
4.
III. Determine how many triangles can be formed g
MATHEMATICS 17
EXERCISE 13
I. Determine the amplitude, period, phase shift and vertical shift of the following then draw one cyle of the
graph.
1. f (x) = 4 sin(2x ) + 1
IV. Do as indicated.
1. Show t
MATHEMATICS 17
EXERCISE 8
I. Polynomial Functions.
1. Which among the following: 1, 2, 2, 1, 3 is a zero of the function
f (x) = x4 4x3 7x2 + 22x + 24.
2. Show that 3 is a zero of multiplicity two of
1
Bifurations
1.1
1.1.1
Bifurcation Point at E0 (0, 0, 0)
Steady-State Bifurcation
If = 0 then
the characteristic equation of E0 (0, 0, 0) will be
(a1 a2 a3 + cda3 ) = 0 where a1 = r c >, a2 = s d > 0
Bifurcations in Lotka-Volterra
Intraguild Predation Model
Juancho A. Collera
Department of Mathematics and Computer Science
University of the Philippines Baguio
[email protected]
March 6, 2015
Abstr
Nonlinear Analysis: Modelling and Control, 2007, Vol. 12, No. 4, 479494
A Prey-Predator Model with a Reserved Area
B. Dubey
Mathematics Group, Birla Institute of Technology and Science
Pilani - 333 03
MATHEMATICS 17
EXERCISES
I. TRUE or FALSE. Write TRUE if the statement is correct, and write FALSE otherwise. Explain
briey.
1.
All sets are disjoint with the empty set.
2.
x+y
y
= .
x+z
z
3.
Given th
MATHEMATICS 17
EXERCISE 4
I. Do as indicated.
1.
Arrange the following numbers in increasing order of magnitude and plot them on
the number line:
2
0, 3 , 1 , 0.6, 0. , 1, 3.5
5,
2
2.
Find the value o
MATHEMATICS 17
EXERCISES
I. TRUE or FALSE. Write TRUE if the statement is correct, and write FALSE otherwise.
1. The set of imaginary numbers is closed under addition and multiplication.
2. For all a
MATHEMATICS 17
EXERCISE 5
I. Linear Equations.
1. Find the general form of the equation of the line that is perpendicular to the line x + 2y = 3 and
passes through the midpoint of the points P (1, 3)
MATHEMATICS 17
EXERCISE 9
I. Variations.
1. If a function f (x) varies inversely as the cube of x, nd the value of
f (2)
.
f (3)
2. The volume of a cone varies jointly as the square of the radius of t
DANCE
MATHEMATICS
Dance
a way of human
expression through
movement
Overview: Dance
Dance is a way of
communication and expression.
All societies use dance to
communicate through personal
and cultural
MATHEMATICS IN THEATER
Theater in this case refers to the performing art in which actors and actresses act in a
play
BUDGETING
Some knowledge in mathematics is required in order to plan a realistic bu
Whole Numbers
0, 1, 2, 3, 4, 5, 6, .
3.3The Real Numbers
We can consider the same subsets of even, odd,
prime numbers.
Is 0 prime?
Is 0 even?
We consider the ff. subsets of R
Natural or Counting
A panda is a mammal that lives in the bamboo forest in the Qinling
Mountains and the hills of the Sichuan province of China. They are
considered as solitary. Every adult has their specific territory.
Written Report
In History
Alfred Melegrito
Pakistan Became Two Countries
After the Partition of India, Pakistan was separated
into two exclaves (An exclave is a portion of a state
or territory geograp
PROJECT
IN
HISTORY
SUBMITTED BY: Alfred Melegrito
SUBMITTED TO: Ma'am Diane Cruz
SUBMITTED ON: AUGUST 11, 2016
For me, the picture shows that some people don't care about the environment. They just
ca
Haring Fernando
Matapos managinip,
Ako'y nagkasakit.
[1]
Hari ako sa isang reyno
Ligalig at taranta ang palaging nasa isip
Ibong Adarna ang tanging magpapagaling
sa akin
Fernando ang ngalan ko!
Nanini