Mathematics in the Modern World (GEC 103) - Introduction

This set of vocabulary flashcards covers the fundamental definitions, branches, characteristics, and real-world applications of mathematics as presented in the Introduction to Mathematics in the Modern World course.

Mathematics

The science of patterns, relationships, structures, quantities, and logical reasoning; also described as the language of science and a tool used to solve problems.

Arithmetic

The branch of mathematics involving the study of numbers.

Algebra

The branch of mathematics involving the study of symbols and equations.

Geometry

The branch of mathematics involving the study of shapes.

Trigonometry

The branch of mathematics involving the study of angles.

Calculus

The branch of mathematics involving the study of change.

Statistics

The branch of mathematics involving the study of data.

Probability

The branch of mathematics involving the study of uncertainty.

Characteristics of Mathematics

The defining traits of mathematics include being logical, abstract, precise, systematic, universal, creative, and applicable.

Mathematics as a Human Endeavor

A product of human creativity developed to understand and solve problems, evolving from needs to count, measure, trade, navigate, and manage resources.

Mathematics in Nature

Mathematical concepts existing naturally in the environment, such as symmetry, spirals, fractals, patterns, ratios, and sequences.

Fibonacci Sequence

A sequence where each number equals the sum of the previous two numbers, exemplified by $0, 1, 1, 2, 3, 5, 8, 13, 21, 34$, often found in sunflowers and pinecones.

The Golden Ratio

A mathematical formula represented as $\Phi = 1.618$, observed in human body proportions, architecture, paintings, and nature.

Mathematics in Society

The application of mathematics in various fields including economics, agriculture, medicine, engineering, transportation, and government planning.

Importance in Daily Life

Mathematics helps manage finances, improves critical thinking, enhances decision-making, and develops problem-solving skills.