Member-only story

An Introduction to Calculus 401: A Comprehensive Guide for Beginners

Louis Hayes

·5.8k Followers· Follow

Published in Introduction To Calculus (401 Non Fiction 10)

4 min read

175 View Claps

16 Respond

Save

Listen

What is Calculus?

Calculus is a branch of mathematics that deals with change. It is used to study the rates of change of functions, and to find the areas and volumes of objects. Calculus is a powerful tool that has been used to solve a wide range of problems in science, engineering, and economics.

Introduction to Calculus (401 Non Fiction 10)

Introduction to Calculus (401 Non Fiction Series Book 10)

by Hicham and Mohamed Ibnalkadi

5 out of 5

Language	:	English
File size	:	13567 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Print length	:	92 pages
Lending	:	Enabled

Calculus 401

Calculus 401 is the first course in the calculus sequence, and it is designed to introduce students to the basic concepts of calculus. In this course, you will learn about:

* Functions * Limits * Derivatives * Integrals

Functions

A function is a relation that assigns to each element of a set a unique element of another set. In other words, a function is a rule that tells you how to find the output of a function for any given input.

For example, the function f(x) = x^2 assigns the square of each number to that number. So, f(2) = 4, f(3) = 9, and so on.

Limits

A limit is a value that a function approaches as the input approaches a certain value. For example, the limit of the function f(x) = x^2 as x approaches 2 is 4. This means that as x gets closer and closer to 2, the value of f(x) gets closer and closer to 4.

Derivatives

A derivative is a measure of the rate of change of a function. The derivative of a function f(x) with respect to x is denoted by f'(x). The derivative of a function tells you how fast the function is changing at a given point.

For example, the derivative of the function f(x) = x^2 is f'(x) = 2x. This means that the function f(x) is increasing at a rate of 2x at the point x.

Integrals

An integral is a measure of the area under the curve of a function. The integral of a function f(x) from a to b is denoted by ∫[a, b] f(x) dx. The integral of a function tells you the total area under the curve of the function from a to b.

For example, the integral of the function f(x) = x^2 from 0 to 1 is ∫[0, 1] x^2 dx = 1/3. This means that the area under the curve of the function f(x) from 0 to 1 is 1/3.

Calculus 401 is a challenging but rewarding course. By understanding the basic concepts of calculus, you will be able to solve a wide range of problems in science, engineering, and economics. If you are interested in learning more about calculus, I encourage you to take a Calculus 401 course at your local college or university.

Introduction to Calculus (401 Non Fiction Series Book 10)

by Hicham and Mohamed Ibnalkadi

5 out of 5