# Applications of Mathematics

### Predicting the Weather

Mathematics and supercomputers can help predict one of the most complex systems on planet Earth.

### MRI and Tomography

Advanced mathematical techniques allow us to reconstruct three-dimensional images for solid objects like your head.

### Internet and Phones

The internet consists of millions of conneted computers and devices. We need mathematics to navigate this network!

### Epidemics Analysis

Equations can help us predict how the outbreak of a new disease might spread over time, and evaluate different responses.

### Maps of the Earth

How can we represent the spherical surface of the Earth on a flat, two-dimensional map?

### Reading CDs and DVDs

Mathematics can fill in the gaps caused by scratches and dust on the surface of CDs or DVDs.

### Glacier Melting

Mathematical models can predict how quickly glaciers are melting.

### Public Key Cryptography

Whenever you send an email or use a credit card online, prime numbers help you keep your information safe.

### Satellite Navigation

### Codes and Communication

Sending digital messages relies on different fields of mathematics to ensure transmission without interference.

### Building Bridges

Engineers need mathematics to construct stable bridges that can withstand wind, as well as vibrations caused by driving or walking.

### Digital Music

Mathematical codes allow the waveforms of sounds and music to be converted into numbers that can be stored on digital devices.

### Cosmology

Can mathematics help us understand the origin and future of the universe?

### Gambling and Betting

How do you calculate the probability of winning games with cards or dice, or determine the best strategy?

### Breaking the Enigma

Wars often force advances in technology. World War II is no exception. The need to encode and decode messages lead to one of the first computers.

### Search Engines

Search engines like Google are built using enormous matrices.

### Finance and Banking

### Computers

### Supply Chains

Every day millions of containers boxes letters and parcels are transported around the world. A logistical task impossible without mathematics.

### Construction

How can we build skyscrapers that can withstand storms and even earthquakes?

### Automotive Design

From the shape of the body to the engine, the materials to the colors, math touched nearly everything in car design.

### Neurology

### Navigation

Navigation tools have changed throughout history, but they have always depended on math.

### Speech Recognition

Probability drives the technology behind speech-to-text

### Robotics

### Football Scoring

### Volcano Monitoring

When will a volcano erupt?

### Lottery

### Roller Coaster Design

Roller coasters are math in motion.

### Public Transportation

Operations research studies, among other thing, the logistical elements of scheduling, vehicle capacity, and routes.

### Crowd Control

How are crowds like water? Large groups of people move and interact in much the same way as fluids.

### Insurance

### Space Observations

### Computer Games

### Carbon Dating

Carbon dating tells us the age of formerly living things.

### Computer Circuits

### Making Music

### Movie Graphics

Computer-generated imagery uses a combination of 3D coordinates and complex numbers to create the illusion of reality.

### Defence and Military

### Traffic Optimisation

### Rockets and Satellites

### Artificial Intelligence

### Crime Prediction

Mathematical modelling can identify crime hot spots.

### Search for Alien Life

What do prime numbers have to do with finding alien life?

### Fraud Detection

How can math help financial institutions detect fraud?

### Data Analysis

### Wildfire Modelling

### Tectonic Plate Motion

Data analysis can open our eyes to things we cannot see directly like the Earth's core.

### Microwaves

Microwaves cook food at the molecular level.

### Image Compression

### Pharmacy and Medicine

### Swimsuit Design

### Pricing Strategies

We think of prices as fixed values outside our control. But, is there a way consumers can change the price of a good?

### Polling and Voting

### Music Shuffling

### Game Theory

### Population Dynamics

### Coral Reef Growth

Coral reefs are declining. Mathematical modeling can give us clues about why.

### Erosion and Coastlines

Sea level rise continues to affect erosion of coastlines around the world.