Introduction to Proofs

An introductory course designed to teach the fundamental concepts and techniques of mathematical proofs.

Practical Applications

Proofs in Science and Engineering

Building Reliable Knowledge

Scientists and engineers use proofs and logical reasoning to design experiments, build structures, and discover new truths.

Designing Safe Structures

Engineers prove mathematically that bridges and buildings are strong enough to stand up under stress.

Scientific Theories

Scientists use logic to connect evidence and eliminate impossible explanations, building theories that explain the world.

Everyday Technology

From smartphones to space travel, rigorous proof underlies the technology that shapes our lives.

Examples

  • Proving that a bridge's design can support heavy trucks.

  • Using logical reasoning to eliminate incorrect explanations in an experiment.