Nature of Mathematics - answer✔A. Patterns and Numbers in Nature and World
B. Fibonacci Sequence
2. Exponential Growth Model
A. Patterns and Numbers in Nature and World - answer✔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 - answer✔Human mind and culture have developed a
formal system of thought for recognizing, classifying, and exploiting patterns called
Mathematics.
Patterns and Numbers in Nature and World - answer✔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 - answer✔1. The snowflake
2. The honeycomb
3. The sunflower
4. The snail's shell
5. Flower's petals
6. Weather
Snowflake - answer✔a flake of snow, especially a feathery ice crystal, typically displaying
delicate sixfold symmetry.
Honeycomb - answer✔a structure of rows of hexagonal wax cells, formed by bees in their hive
for the storage of honey, pollen, and their eggs.
Sunflower - answer✔any plant of the genus Helianthus having large flower heads with dark disk
florets and showy yellow rays
Weather - answer✔The condition of Earth's atmosphere at a particular time and place.
Exponential Growth Model - answer✔Population growth and bacterial decay can be modeled by
the exponential growth or decay formula.
Exponential Growth Model - answer✔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 - answer✔a mathematical description of idealized, unregulated
population growth
Exponential Growth Model - answer✔Model's rate of change increases exponentially
Decay Formula - answer✔A=P(1-r)^t
B. Fibbonacci Sequence - answer✔
Sequence - answer✔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.
Example:
5, 14, 27, 44, 65, ...
In the above sequence, 5 is the fi rst term, 14 is the second term, 27 is the third term, 44 is the
fourth term, and 65 is the fi fth term.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller sirjoel. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $10.49. You're not tied to anything after your purchase.
