Calculus_ ppt school level Presentation.pptx

Calculus_Presentation

1. Calculus An Introduction

2. What is Calculus? Calculus is a branch of mathematics that studies continuous change. It is divided into two main branches: - Differential Calculus (rates of change, slopes of curves) - Integral Calculus (areas under curves, accumulation of quantities)

3. Differential Calculus Focuses on the concept of a derivative. - Derivative represents the rate of change of a function. - Used to find slopes of curves and instantaneous rates of change.

4. Integral Calculus Focuses on the concept of an integral. - Integral represents accumulation of quantities. - Used to calculate areas under curves, volumes, and total change.

5. Applications of Calculus - Physics: motion, electricity, heat, light, harmonics - Engineering: design, optimization, signal processing - Economics: cost minimization, profit maximization - Medicine and Biology: modeling growth and decay