Week 2-3: Nature of Mathematics -

Patterns

These refer to the regular, repeated or recurring forms or designs which are commonly observed in natural objects such as

• six-fold symmetry or snowflakes,

• hexagonal structure and formation of honeycombs,

• tiger’s stripes and hyena’s spots

Patterns

Humans are hard wired to recognize _____ and by studying them we discovered the underlying mathematical principles behind nature’s designs.

Exponential Growth Model

Population Growth and bacterial decay can be modeled by this type of model/sequence.

Exponential Growth Model

A = Pe^rt

Sequence

It is an ordered list of numbers called terms that may have repeated values. The arrangement of these terms is set by a definite rule. Applying the rule to the previous terms of the sequence generates the different terms of it.

Fibbonacci Sequence

This sequence is formed by adding the preceeding two numbers, starting with 0 and 1.

the Golden Ratio

What is the most aesthetically pleasing proportion that is approximated by the ratios of the Fibonacci numbers?

Mathematics for Organization

A lot of events happening around us needed mathematical tools to help us to make sound analysis and better decisions:

• Stores can boost their sales by making necessary adjustments by gathering data on shopping habits of prospective customers.

• In the field of social media, analysts can crunch all online postings using software to gauge sentiments from netizens regarding particular issues or personalities.

• More so, endangered animal population can be conserved by plotting migration routes.

Mathematics for Prediction

To make predictions, mathematical models can generate analysis and interpretations using existing data.

• Experts can calculate the chance of an event occuring by applying the concept of probability.

• A good example is weather forecast. - Meteorologists make forecast which aids us in the preparation of our daily activities.

Mathematics for Control

Natural objects and phenomenon behave by the underlying mathematical structure.

• Interactions and relationships of nature can be best described by mathematical equations.

• Through technological advancement, humans were able to expand their horizons and be able to rpove certain phenomena.

• Mathematics as a tool, man is able to exert control of himself and the effects of nature.

• Examples are climate change and global warming.

Mathematics is Indespensible

Mathematics played a major role in the underpinnings of our world.

• Different fields of endeavor needs mathematical logical reasoning and critical thinking skills are required in any endeavor.

• In understanding the natural world and making educated decisions, mathematics is a useful tool