Chapter 1 Flashcards
Mathematics is the study of _____-
pattern and
structure
Mathematics is fundamental to the
________
physical and biological sciences, engineering
and information technology, to economics and
increasingly to the social sciences.
Mathematics is a useful way to think about ______
nature and our world
Mathematics is a tool to _____, _______ and
______ our world, _____ phenomena and
make life easier for us.
quantify
organize
control
predict
Many patterns and occurrences exists in nature,
in our world, in our life. Mathematics helps
make sense of these patterns and occurrences.
WHERE IS MATHEMATICS?
WHAT ROLE DOES MATHEMATICS PLAY IN OUR
WORLD?
Mathematics helps ____ patterns and
regularities in our world.
organize
WHAT ROLE DOES MATHEMATICS PLAY IN OUR
WORLD?
Mathematics helps _____ the behavior of
nature and phenomena in the world.
predict
WHAT ROLE DOES MATHEMATICS PLAY IN OUR
WORLD?
Mathematics helps _____ nature and
occurrences in the world for our own ends.
control
WHAT ROLE DOES MATHEMATICS PLAY IN OUR
WORLD?
Mathematics has numerous applications in the
world making it _______.
indispensable
_______ are visible regularities of
form found in the natural world and can also be seen in
the universe.
Patterns in nature
Nature patterns which are not just to be
admired, they are vital clues to the rules that govern
_______.
natural processes
Patterns can be observed even in _____ which
move in _____ across the sky each day.
stars
circles
The weather season cycle each year. All
snowflakes contains ______ which no
two are exactly the same.
sixfold symmetry
Patterns can be seen in fish patterns like
___________ These
animals and fish stripes and spots attest to
mathematical regularities in biological growth
and form.
spotted trunkfish, spotted puffer, blue spotted
stingray, spotted moral eel, coral grouper,
redlion fish, yellow boxfish and angel fish.
Zebras, tigers, cats and snakes are covered in
patterns of ______
stripes;
leopards and hyenas are
covered in pattern of _____
spots
giraffes are
covered in pattern of ______
blotches.
Natural patterns like the _________
These serves as clues to the rules that govern
the flow of water, sand and air.
intricate waves across
the oceans; sand dunes on deserts; formation
of typhoon; water drop with ripple and others.
Other patterns in nature can also be seen in the ball
of mackerel, the v-formation of geese in the sky and
the tornado formation of starlings.
okay
a sense of harmonious and
beautiful proportion of balance or an object is
invariant to any various transformations
(reflection, rotation or scaling.)
SYMMETRY
a symmetry in which the
left and right sides of the organism can be divided
into approximately mirror image of each other
along the midline.
Bilateral Symmetry:
Vertical Symmetry
Bilateral Symmetry:
Radial symmetry suits
organism like _______ whose adults do not move and jellyfish(dihedral-D4 symmetry).
sea anemones