Basics of Algebra for Absolute Beginners

Name: Basics of Algebra for Absolute Beginners
Rating: 3.9 (30 reviews)

One of the most simplest, conceptual introduction to algebra for absolute beginners

Created byRaju S. Khatiwada

Last updated 6/2022

English

What you'll learn

Basic basic definition of questions in algebra
Factorization
Solving given algebraic equation
Basic Polynomial equation

Course content

3 sections • 8 lectures • 1h 8m total length

Basics of Algebra5:43
This video is the first in its series of Introduction to Algebra. I have explained the basic meaning of terms and tried our best to relate Algebra with everyday notion of addition, subtraction, multiplication and division. We also discuss Law of Indices briefly.
Why do we factorize?7:20
Why do we factorize at all?
Here in this video, I talk about why do we need to factorize an algebraic equation. It must be kept in mind that not all algebraic equations are factorizable. But as long as that's possible, we should try to do that because that yields the answer (the value of independent variable x) very directly.

After watching thios video, you will be in a better position to understand the following:
1). Why do we do, 'Either OR' while finding the root of the given equation?
2). How do we choose the correct answer when there are more than one roots possible?
How do you identify if something is an algebraic equation?
Can we factorize all algebraic equations?

Relationship between Algebra and Geometry7:04
Let's explore the relationship between Algebra and Geometry by understanding Simultaneous equations conceptually. Basic elements of geometry like points, straight lines and planes are explained intuitively in this lecture.
Algebraic equations represent geometrical shapes and figures. Similarly, graphically plotting the algebraic equation gives better ideas about the geometric shapes that those algebraic equations represent. We explore different possibilities conceptually for simultaneous linear equations and also for simultaneous equations when one equation is linear and the other is quadratic.
Derivation of Quadratic Formula5:18
In this lecture I explain how to derive the quadratic formula. The Quadratic formula is used to solve any quadratic equation with coefficients of whole numbers, fractions and decimals. This video is for high school students taking algebra 1 or 2 or for university students taking college algebra.
Factorization and Discriminant examples13:51
In this lecture, we discuss about quadratic equation in further detail. We develop the idea of discriminant and discuss what a Real Solution means. We also introduce Quadratic formula. This is just one of many introductory videos in the topic of Algebra.

Linear equations without solving11:31
In previous lectures we have discussed different methods to solve simultaneous Linear equations. Here in this lecture, we are going to discuss how we can develop idea whether we have solution or not without even solving the equations.
Two Straight lines either meet or do not meet. When they do not meet, they can be parallel to each other or be parallel as well as coinciding. After watching this video, students will be able to figure out exactly whether they meet, are parallel or are parallel as well as coincide with each other.
Intersection of two line
Simultaneous Equations9:41
We discuss the method of solving simultaneous linear equations. We introduce elimination method and substitution method. This video is one of many introductory videos in the topic of algebra.
Real, Complex or no solution7:41
A parabola represented by a quadratic equation and a line represented by a linear equation can interact in 3 days. Either they will meet at two real points or they will meet at one point (when the line is tangent to the curve) or they will not meet at all. We explore these cases by using the idea of discriminant. In previous videos about discriminant, we have only focused on the real solution, we extend our discussion to complex solution in this video.
Intersection of a parabola and a straight line

Requirements

No specific requirement as this is for absolute beginners

Description

This free course on Basic Algebra is one of the simplest you will ever find. I will explain every terminology we use in algebra. And this course is more appropriate for students who want to actually improve their understanding in the subject matter rather than only be able to solve problems. If you are too bored because you find the subject matter simple enough, kindly skip and proceed to the next section.

Please try to answer all the questions asked in the quizzes. If wrong, kindly watch over the lecture and try again until you understand the concepts completely.

We explore the relationship between algebra and geometry throughout the course. Algebra covers almost 50% syllabus for most of the competitive exams. Thus it will be extremely rewarding to having in-depth foundational knowledge in Algebra. The aim of this course is to present Algebra in the simplest way possible for those students who are very intimidated by the subject.

Some of the important concepts that we will cover in this course are:

a). What is Quadratic equation?

b). The general form of the Quadratic equation

c). Real and complex solution of Quadratic equation

d). Deriving and applying the Quadratic formula

e). Simultaneous Equations

f). A curve and a Line

and more

This is a foundational course in Algebra so this course will be rewarding to you in the long run. Even when you are able to solve basic questions, you might have been struggling to understand why we do a certain thing and not the other. This course will answer such querries and doubts. It will supplement your knowledge and understanding in the subejct matter.

Who this course is for:

Algebra beginners

Basics of Algebra for Absolute Beginners

What you'll learn

Explore related topics

Course content

Introduction2 lectures • 13min

Algebra and Geometry3 lectures • 26min

A Curve and a Line3 lectures • 29min

Requirements

Description

Who this course is for: