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.
Learn about graphical representation of sets of real numbers using Number line
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.
GCF and LCM are explained with examples
Get familiar with inequality and equality symbols and how to use them with examples
In this video, you will learn to write the sets of real numbers using interval notation
In this video, you will learn the properties of addition, subtraction, multiplication and division
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
In this video, you will learn the definition of Algebraic expression
In this video, you will learn about polynomial, degree of a polynomial, classification of polynomials and writing polynomials in standard form
Understand the definition of Algebraic Expressions with examples
Examples on solving linear equations
Techniques for solving linear equations
Learn the addition, subtraction, multiplication and division properties of inequalities
Learn to solve linear inequalities and graph the solution set on a number line with examples
Learn the definition of radicals with an example
Learn the product and quotient rule of radicals to simplify expressions
Learn the concept of like radicals with an example
Multiplying radical expressions examples.
Solve radical equations examples
Square root of a negative number examples
Definition of complex numbers. Addition, subtraction, multiplication and division of complex numbers.
GCF of polynomials examples
Solve linear equation using zero product property examples
Factoring by grouping examples
Solve Quadratic Equation using Square root property
Derive Quadratic formula. Solve Quadratic equations using Quadratic formula examples.
I have Master's degree in Electrical Engineering from SUNY at Buffalo. 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 have also authored a book "Math in air: Basics of numbers". 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".