GE1707 Handout 1: Mathematics in our World - Patterns in Nature and Uses of Mathematics

Vocabulary flashcards focusing on definitions and applications of patterns in nature and practical uses of mathematics across various industries.

Patterns

Sequences or designs that are orderly and repeat, or anything that is not random.

Symmetry

A condition where different sides of something are alike, functioning to maintain balance in living organisms.

Fractals

'Never-ending' patterns that repeat indefinitely as the pattern is iterated on an infinitely smaller scale.

Spirals

A common pattern in nature seen more often in living things, such as in sheep horns, nautilus shells, and leaf placement around a stem.

Logarithmic Spiral

A special type of spiral that gets smaller as it goes, observed in hurricanes, galaxies, and some seashells.

Fibonacci Sequence

A numerical sequence that goes $1, 1, 2, 3, 5, 8, 13, 21\text{...}$ where each number is the sum of the two numbers before it.

Tessellations

Patterns that are formed by repeated cubes or tiles, occurring in both living and non-living things.

Mathematics in Technology

The use of basic research, math, and statistics to advance modern technology, such as using the speed of light for GPS devices.

Mathematics in Engineering

The core application of math to design, develop, build, and maintain components or structures, as well as model real-life situations.

Mathematics in Media

The application of math concepts across media, including camera lens shapes, set scale and proportion, and advertising figures.

Mathematics in Medicine and Health

The reliance on statistical studies to support advanced medical devices, analyze epidemics, and project product profitability.

Mathematics in Finance and Business

Basic business math required for overseeing company finances, ensuring profitable operations, and maintaining accurate record keeping.