Category: 1. Basic Introduction

A few of the important formulas used in calculus to solve complex problems are as listed below, Ltx→0 (xn – an)(x – a) = na(n – 1) ∫ xn.dx = xn + 1/(n + 1) + C ∫ ex.dx = ex + C d/dx xn = nxn – 1 d/ dx Constant = 0 d/dx  ex = ex

Calculus is a very important branch, a mathematical model that helps in: Analyzing a system to find an optimal solution to predict the future of any given condition for a function. Concepts of calculus play a major role in real life, either it is related to solve the area of complicated shapes, evaluating survey data,… Continue reading Applications of Calculus

Differential calculus focuses on solving the problem of finding the rate of change of a function with respect to the other variables. To find the optimal solution, derivatives are used to calculate the maxima and minima values of a function. Differential helps in the study of the limit of a quotient, dealing with variables such… Continue reading Differential Calculus

Functions in calculus represent the relationship between two variables, which are the independent variable and the dependent variable. Let’s consider the following diagram. There is an INPUT, a black box, and an OUTPUT. For example, suppose we want to make a pizza. We would need the following basic ingredients. Pizza Base Pizza Sauce Cheese Seasoning… Continue reading Functions

Based on the complexity of the concepts covered under calculus, we classify the topics under different categories as listed below, Precalculus Calculus 1 Calculus 2 Precalculus Precalculus in mathematics is a course that includes trigonometry and algebra designed to prepare students for the study of calculus. In precalculus, we focus on the study of advanced… Continue reading Calculus Topics

Calculus is one of the most important branches of mathematics that deals with continuous change. The two major concepts that calculus is based on are derivatives and integrals. The derivative of a function is the measure of the rate of change of a function, while integral is the measure of the area under the curve… Continue reading Calculus