A course for calculus, starting from the basics, working into derivatives, integrals and vector calculus.

What you'll learn

Introduction to calculus and its history.

Functions and rules governing calculus.

Full and partial derivatives.

Integration and its uses.

Requirements

A basic knowledge of math and functions (GCSE or equivalent).

Description

This course is for anyone who wants to learn calculus, with or without a background in this subject. The course will start by covering the history of calculus, along with the fundamental rules which govern it and the functions it works with. As the course progresses you will learn about both partial and full derivatives, before covering integration. With integration we will look at integrating functions in general as well as integrating the space underneath a function on a graph, surfaces and 3D volumes using examples. As you reach the end of the course you will learn about vector calculus, firstly looking at a basic overview of what a vector is before putting together what you learned in the previous lecture to learn about the four vector identities, curl, gradient, divergence and the Laplacian.Starting from a basic grasp of what this subject is, you will learn knowledge and tools which will help you with any calculus problem you may encounter after this course. Spread across seven videos, this course is in English audio, available with subtitles in English, French, German, Hebrew, Icelandic, Romanian and Spanish,The information within these courses is intended for information and educational purposes only. Multiple subjects covered in these courses require certifications to practice, whose governing bodies can vary from country to country. Completing these courses will not allow you to practice in a professional capacity, and these courses are intended for people who wish to learn these fields of study, and people who wish to refresh their knowledge on the subjects within these courses.The subtitles in these courses were produced automatically. As they are automatically generated, please be aware that there may be grammatical errors and/or potential misunderstandings.

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Theories and Limits

Lecture 2 Theories and Limits

Section 3: Derivatives

Lecture 3 Derivatives

Section 4: Partial Derivatives and Parametric Functions

Lecture 4 Partial Derivatives and Parametric Functions

Section 5: Integration, function continuity and convergence.

Lecture 5 Integration, function continuity and convergence.

Section 6: Integrating surfaces, volumes, and double integrals.

Lecture 6 Integrating surfaces, volumes, and double integrals.

Section 7: Vector Identities

Lecture 7 Vector Identities

Beginner, intermediate learners, and anyone interested in learning this subject.