Algebra - Part 1
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Algebra - Part 1

Introductory course in Algebra. Master these basic skills for advance level courses.
5.0 (1 rating)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
4 students enrolled
Created by Twinkle Shah
Last updated 10/2016
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Current price: $10 Original price: $20 Discount: 50% off
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  • 5 hours on-demand video
  • 18 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • In this course, you will learn following topics
  • Real number system, Operations with real numbers
  • Solve linear, quadratic and radical equations. Solve linear inequalities.
  • Factoring, Rational expressions, Radicals
  • Solve systems of equations
  • Graph linear equations, solve systems of equations using graphing
View Curriculum
  • Get your pens, pencils and notebook ready. While watching lectures; you will also be asked to participate and solve problems. This will make things more interactive on Students end.

This is an introductory course in Algebra.  This lecture series contains 9 video lectures and corresponding assignments with solutions on Algebra.  The main objective for this course is to develop skills in solving Linear and Quadratic equations.  Each lecture is subdivided in to different topics so that you can self learn at your own pace.  During the beginning of each lecture, you will find the downloadable files for assignments and its solutions.  I encourage each student to complete the assignment after working through video lectures.  During each lecture, I will give you few examples to practice.  You can keep yourself ready to participate in that exercise by pausing the video and practicing that example and then resume back so that I can walk you through the example.   At Math Foundation, we are interested in developing course materials which can clearly explain the fundamentals and built up the strong foundation in mathematics.  If you are a Math student, an Engineer, Scientist or just a curious student and interested in learning about the concepts in Algebra; then this course is a perfect choice.

Who is the target audience?
  • Students about to take algebra class or existing students thinking of getting ahead in the class.
  • Algebra finds its applications in Engineering. So, any engineer or scientist who is dealing with equations and like to enhance their understanding could take Algebra course.
  • Students preparing for SAT, GRE and GMAT exams
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Curriculum For This Course
43 Lectures
Basic Arithmetic Skills - 1
6 Lectures 37:09

Learn about different types of numbers

Preview 08:38

Learn about graphical representation of sets of real numbers using Number line

Preview 02:37

Intersection and union of sets explained with an example

Preview 03:21

Learn the definition of Prime numbers and Composite numbers.  Learn to identify Prime numbers and examples on writing composite numbers using products of prime numbers.

Preview 05:02

GCF and LCM  are explained with examples

Fractions, GCF and LCM

Get familiar with inequality and equality symbols and how to use them with examples

Number relationships
Basic Arithmetic Skills - 2
4 Lectures 27:53

In this video, you will learn to write the sets of real numbers using interval notation

Interval notation

In this video, you will learn the properties of addition, subtraction, multiplication and division

Operation with real numbers

In this video, you will learn about Inclusive inequality, Strict inequality and Compound inequality


In this video, you will learn to apply rules of order of operations to simplify algebraic expressions

Order of operations
Introduction to Algebra
5 Lectures 33:32

In this video, you will learn the definition of Algebraic expression

Algebraic Expression

Like terms

Simplify Expressions

Exponents, Rules for exponents, Negative exponent, Simplify expressions

In this video, you will learn about polynomial, degree of a polynomial, classification of polynomials and writing polynomials in standard form

Solving Equations
5 Lectures 35:03

Understand the definition of Algebraic Expressions with examples

Algebraic equation

Examples on solving linear equations

Solving linear equation

Techniques for solving linear equations

Solving linear equation

Learn the addition, subtraction, multiplication and division properties of inequalities

Properties of inequality

Learn to solve linear inequalities and graph the solution set on a number line with examples

Solving linear inequality
8 Lectures 33:30

Learn the definition of radicals with an example

Definition of radicals

Learn the product and quotient rule of radicals to simplify expressions

Simplify radicals

Learn the concept of like radicals with an example

Like radicals, Adding and Subtracting radicals

Square root and cube root of algebraic expression

Multiplying radical expressions examples.

Multiplying radical expressions

Solve radical equations examples

Solving radical equation

Square root of a negative number examples

Square root of a negative number

Definition of complex numbers.  Addition, subtraction, multiplication and division of complex numbers.

Complex numbers
Methods of Solving Linear and Quadratic Equations
9 Lectures 01:00:23

GCF of polynomials examples

GCF of polynomials

Solve linear equation using zero product property examples

Zero product property

Factoring by grouping examples

Factoring by Grouping

Difference of squares rule

Squaring and cubing a binomial

Solve Quadratic equation - method of completing square

Solve systems of equations - Substitution method

Solve systems of equations - elimination method
Rational Expressions
1 Lecture 09:25
Rational Expressions
Quadratic Equations
2 Lectures 23:52

Solve Quadratic Equation using Square root property

Solve quadratic equations

Derive Quadratic formula.  Solve Quadratic equations using Quadratic formula examples.

Solve quadratic equations - quadratic formula
Graphing Equations in Algebra
3 Lectures 34:38

Examples on graphing points in Cartesian-plane

Preview 03:29

Find slope of a line. Graph an equation of the line.

Graphing a line

Solving systems of equations by graphing
About the Instructor
Twinkle Shah
5.0 Average rating
1 Review
4 Students
1 Course

I am an enthusiastic scientist who believes in science and appreciates its existence.  I have 10 years of experience as an R&D Engineer.  I have mentored few students and about 2 years of teaching experience.  I like teaching from my experiences and mentoring others.

I have also authored a book "Math in air: Basics of numbers, vol.1 ".  This book is intended for students taking pre-algebra course.   There is one thought that always inspires me to talk, write and read about Mathematics: "Science is not complete without Mathematics and applications of Math in our daily life are countless".