Mathematics in the Modern World Exam
Questions with 100% Correct Answers
Chapter 1 - ✔✔Nature of Mathematics
Nature of Mathematics - ✔✔A. Patterns and Numbers in Nature and World
B. Fibonacci Sequence
2. Exponential Growth Model
A. Patterns and Numbers in Nature and World - ✔✔Patterns are regular,
repeated, or recurring forms or designs which are commonly observed in
natural objects such as six-fold symmetry of snowflakes, hexagonal
structure, and formation of honeycombs, tiger's stripes and hyena's spots.
Humans are hard wired to recognize patterns and by studying them we
discovered the underlying mathematical principles behind nature's designs.
Patterns and Numbers in Nature and World - ✔✔Human mind and culture
have developed a formal system of thought for recognizing, classifying, and
exploiting patterns called Mathematics.
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Patterns and Numbers in Nature and World - ✔✔By using Mathematics to
organize and systematize our ideas about patterns, we have discovered a
great secret: nature's patterns are not just there to be admired, they are
vital clues to the rules that governs natural processes.
Examples of Patterns and Numbers in Nature and World - ✔✔1. The
snowflake
2. The honeycomb
3. The sunflower
4. The snail's shell
5. Flower's petals
6. Weather
Snowflake - ✔✔a flake of snow, especially a feathery ice crystal, typically
displaying delicate sixfold symmetry.
Honeycomb - ✔✔a structure of rows of hexagonal wax cells, formed by
bees in their hive for the storage of honey, pollen, and their eggs.
Sunflower - ✔✔any plant of the genus Helianthus having large flower
heads with dark disk florets and showy yellow rays
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Weather - ✔✔The condition of Earth's atmosphere at a particular time and
place.
Exponential Growth Model - ✔✔Population growth and bacterial decay can
be modeled by the exponential growth or decay formula.
Exponential Growth Model - ✔✔growth model that estimates a population's
future size after a period of time based on the intrinsic growth rate and the
number of reproducing individuals currently in the population
Exponential Growth Model - ✔✔a mathematical description of idealized,
unregulated population growth
Exponential Growth Model - ✔✔Model's rate of change increases
exponentially
Decay Formula - ✔✔A=P(1-r)^t
B. Fibbonacci Sequence - ✔✔
Sequence - ✔✔an ordered list of numbers called terms that may have
repeated values. The arrangement of these terms is set by definite rule.
Applying the rule to the previous terms of the sequence generates the
different terms of the sequence.