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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.
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Section 1: Basic Arithmetic Skills  1  

Lecture 1  08:38  
Learn about different types of numbers 

Lecture 2  02:37  
Learn about graphical representation of sets of real numbers using Number line 

Lecture 3  03:21  
Intersection and union of sets explained with an example 

Lecture 4  05:02  
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. 

Lecture 5  10:52  
GCF and LCM are explained with examples 

Lecture 6  06:39  
Get familiar with inequality and equality symbols and how to use them with examples 

Section 2: Basic Arithmetic Skills  2  
Lecture 7  04:37  
In this video, you will learn to write the sets of real numbers using interval notation 

Lecture 8  05:26  
In this video, you will learn the properties of addition, subtraction, multiplication and division 

Lecture 9  09:16  
In this video, you will learn about Inclusive inequality, Strict inequality and Compound inequality 

Lecture 10  08:34  
In this video, you will learn to apply rules of order of operations to simplify algebraic expressions 

Section 3: Introduction to Algebra  
Lecture 11  01:41  
In this video, you will learn the definition of Algebraic expression 

Lecture 12 
Like terms

01:07  
Lecture 13 
Simplify Expressions

03:10  
Lecture 14 
Exponents, Rules for exponents, Negative exponent, Simplify expressions

14:35  
Lecture 15  12:59  
In this video, you will learn about polynomial, degree of a polynomial, classification of polynomials and writing polynomials in standard form 

Section 4: Solving Equations  
Lecture 16  05:20  
Understand the definition of Algebraic Expressions with examples 

Lecture 17  05:24  
Examples on solving linear equations 

Lecture 18  11:01  
Techniques for solving linear equations 

Lecture 19  04:13  
Learn the addition, subtraction, multiplication and division properties of inequalities 

Lecture 20  09:05  
Learn to solve linear inequalities and graph the solution set on a number line with examples 

Section 5: Radicals  
Lecture 21  06:33  
Learn the definition of radicals with an example 

Lecture 22  03:16  
Learn the product and quotient rule of radicals to simplify expressions 

Lecture 23  03:22  
Learn the concept of like radicals with an example 

Lecture 24 
Square root and cube root of algebraic expression

01:12  
Lecture 25  03:32  
Multiplying radical expressions examples. 

Lecture 26  03:01  
Solve radical equations examples 

Lecture 27  03:15  
Square root of a negative number examples 

Lecture 28  09:19  
Definition of complex numbers. Addition, subtraction, multiplication and division of complex numbers. 

Section 6: Methods of Solving Linear and Quadratic Equations  
Lecture 29 
Divisors

02:53  
Lecture 30  08:37  
GCF of polynomials examples 

Lecture 31  05:08  
Solve linear equation using zero product property examples 

Lecture 32  02:31  
Factoring by grouping examples 

Lecture 33 
Difference of squares rule

08:02  
Lecture 34 
Squaring and cubing a binomial

12:28  
Lecture 35 
Solve Quadratic equation  method of completing square

04:57  
Lecture 36 
Solve systems of equations  Substitution method

08:32  
Lecture 37 
Solve systems of equations  elimination method

07:15  
Section 7: Rational Expressions  
Lecture 38 
Rational Expressions

09:25  
Section 8: Quadratic Equations  
Lecture 39  06:50  
Solve Quadratic Equation using Square root property 

Lecture 40  17:02  
Derive Quadratic formula. Solve Quadratic equations using Quadratic formula examples. 

Section 9: Graphing Equations in Algebra  
Lecture 41  03:29  
Examples on graphing points in Cartesianplane 

Lecture 42  10:40  
Find slope of a line. Graph an equation of the line. 

Lecture 43 
Solving systems of equations by graphing

20:29 
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