Calculus and Analysis

Calculus is a branch of math that studies change and motion. It's like a sports replay that breaks down the action into small, instant moments. Two key concepts are derivatives, which measure how something changes over time, and integrals, which calculates the total amount of something over time. Analysis is a deeper look into these concepts, it's like the rulebook that explains the why and how behind calculus. It ensures mathematics stays consistent and makes sense. It's like a legal system making sure the rules of the game are fair and correct.