What is Optimization?

Optimization · Axiom Academy

Discover how finding the "best" solution shapes decisions all around us. Imagine you need to get from point A to point B. There are three routes. Click on the route you think is "best": Step 2: What Does "Best" Mean? Let's pack a box with different items. Use the sliders to decide how many of each to pack. Your goal: fit as much value as possible! Step 3: Optimization is Everywhere Click on scenarios below to discover how many everyday decisions are actually optimization problems: Step 4: The Language of Optimization Now that you've experienced optimization, let's give names to what you've been doing: Optimization is the mathematical framework for finding the best solution to a problem. It's not just abstract math - it's how GPS finds routes, how airlines schedule flights, how investors allocate funds, and how you make countless daily decisions. Every optimization problem asks: "What choices should I make to achieve the best possible outcome while respecting my limitations?" This simple question connects everything from packing a suitcase to training machine learning models. Now that you understand the intuition, you'll learn mathematical tools to solve optimization problems systematically. You'll discover how to formulate problems precisely, find optimal solutions efficiently, and apply these techniques to real-world challenges.

This is the written version of the interactive lesson above. See the full Optimization course.