This Session offers a brief glimpse into the fundamentals of calculus, providing an introductory overview of key concepts.
RECOMMENDED
Beginner.
What Will You Learn?
Basics of Calculus
Course Content
Introduction
Calculus is a branch of mathematics focused on the study of change and motion, through the concepts of derivatives and integrals. It is divided into two main areas:
Differential Calculus: This area deals with the concept of a derivative, which represents the rate of change of a function. For example, in physics, the derivative of position with respect to time is velocity. Differential calculus involves finding the slope of a curve, determining instantaneous rates of change, and solving problems involving motion, growth, and optimization.
Integral Calculus: This area focuses on the concept of an integral, which represents the accumulation of quantities. It can be used to calculate areas under curves, volumes, and other accumulative measures. The integral is often seen as the inverse process of differentiation.
Together, these two branches form the fundamental theorem of calculus, which connects differentiation and integration, showing that they are inverse processes. Calculus is essential in many fields such as physics, engineering, economics, and any area involving dynamic systems. It provides the tools to model and solve problems where change is a key element.
Course content
All basics of calculus is covered in this module
Average Rate of Change of a Function
04:43
Approximating the instantaneous Rate of Change of a Function