PRELIMS - LESSON 1

Question 1

Mathematics is the study of _____ and ______. Mathematics is fundamental to the physical and biological sciences, engineering and information technology, to economics and increasingly to the social sciences.

Answer 1

pattern and structure

Question 2

Mathematics helps organize ______ and _____ in our world

Mathematics helps _______ and _______ in the world.

Mathematics helps control ______ and _____ for our own ends.

Mathematics has ________ making it indispensable.

Answer 2

patterns and regularities in our world.

predict the behavior of nature and phenomena in the world.

nature and occurrences in the world

numerous applications in the world

Question 3

_______ are visible regularities found in the natural world. these patterns can be modelled mathematically.

Answer 3

Patterns in nature

Question 4

_____,____ and other early Greek Philosophers studied patterns to explain order in nature.

Answer 4

Plato, Pythagoras Empedocles

Question 5

He examined soap films, leading him to formulate the concept of a minimal surface.

Answer 5

Joseph Plateau

Question 6

He painted hundreds of marine organisms to emphasize their symmetry

Answer 6

Ernst Haeckel

Question 7

Studied growth of patterns in both plants and animals and showed that simple equations could prove growth

Answer 7

D’ Arcy Thompson

Question 8

He predicted that there will be mechanisms for morphogenesis (development of tissues of an organism) which gives rise to patterns of spots and stripes

Answer 8

Allan Turing

Question 9

They showed how mathematics of fractals could create plant growth patterns

Answer 9

Aristid Lindermayerand

Benoit Mandelbrot

Question 10

Patterns can be observed _____ which move in circles across the sky each day.

Answer 10

evening stars

Question 11

The weather season cycle each year. All ____ contains six fold symmetry which no two are exactly the same

Answer 11

snowflakes

Question 12

Patterns can be seen in ______ like spotted trunkfish, spotted puffer, blue spotted stingray, spotted moral eel, coral grouper, redlion fish, yellow boxfish and angel fish. These animals and fish stripes and spots attest to mathematical regularities in biological growth and form

Answer 12

fish patterns

Question 13

_____ like the intricate waves across the oceans; sand dunes on deserts; formation of typhoon; water drop with ripple and others. These serves as clues to the rules that govern the flow of water, sand and air

Answer 13

Natural patterns