Algebra - Part 1
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Algebra - Part 1

Introductory course in Algebra. Master these basic skills for advance level courses.
0.0 (0 ratings)
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.
3 students enrolled
Created by Twinkle Shah
Last updated 10/2016
English
Current price: $10 Original price: $20 Discount: 50% off
1 day left at this price!
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Includes:
  • 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
Requirements
  • 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.
Description

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
Expand All 43 Lectures Collapse All 43 Lectures 04:55:25
+
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
10:52

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

Number relationships
06:39
+
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
04:37

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

Operation with real numbers
05:26

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

Inequality
09:16

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

Order of operations
08:34
+
Introduction to Algebra
5 Lectures 33:32

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

Algebraic Expression
01:41

Like terms
01:07

Simplify Expressions
03:10

Exponents, Rules for exponents, Negative exponent, Simplify expressions
14:35

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

Polynomials
12:59
+
Solving Equations
5 Lectures 35:03

Understand the definition of Algebraic Expressions with examples

Algebraic equation
05:20

Examples on solving linear equations

Solving linear equation
05:24

Techniques for solving linear equations

Solving linear equation
11:01

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

Properties of inequality
04:13

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

Solving linear inequality
09:05
+
Radicals
8 Lectures 33:30

Learn the definition of radicals with an example

Definition of radicals
06:33

Learn the product and quotient rule of radicals to simplify expressions

Simplify radicals
03:16

Learn the concept of like radicals with an example

Like radicals, Adding and Subtracting radicals
03:22

Square root and cube root of algebraic expression
01:12

Multiplying radical expressions examples.

Multiplying radical expressions
03:32

Solve radical equations examples

Solving radical equation
03:01

Square root of a negative number examples

Square root of a negative number
03:15

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

Complex numbers
09:19
+
Methods of Solving Linear and Quadratic Equations
9 Lectures 01:00:23
Divisors
02:53

GCF of polynomials examples

GCF of polynomials
08:37

Solve linear equation using zero product property examples

Zero product property
05:08

Factoring by grouping examples

Factoring by Grouping
02:31

Difference of squares rule
08:02

Squaring and cubing a binomial
12:28

Solve Quadratic equation - method of completing square
04:57

Solve systems of equations - Substitution method
08:32

Solve systems of equations - elimination method
07:15
+
Rational Expressions
1 Lecture 09:25
Rational Expressions
09:25
+
Quadratic Equations
2 Lectures 23:52

Solve Quadratic Equation using Square root property

Solve quadratic equations
06:50

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

Solve quadratic equations - quadratic formula
17:02
+
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
10:40

Solving systems of equations by graphing
20:29
About the Instructor
Twinkle Shah
0.0 Average rating
0 Reviews
3 Students
1 Course

I am enthusiast 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 think that Science is not a magic.  Science is a real truth!