Introduction to Analysis

An introductory course that explores the fundamental concepts and techniques of mathematical analysis.

Practical Applications

Modeling Physical Phenomena

How Analysis Models the Real World

Mathematical analysis helps us describe the world around us, from the motion of planets to the flow of water.

Using Functions

Functions can model temperature changes, the height of a bouncing ball, or the speed of a car over time.

Predicting and Understanding

By using derivatives and integrals, scientists can predict how things will behave and understand why they do what they do.

Everyday Applications

Analysis is everywhere — in weather predictions, engineering, biology, and even economics!

Examples

  • Engineers analyze the shape of a bridge using functions and derivatives to ensure safety.

  • Meteorologists use mathematical models to predict tomorrow's temperature.