
At the end of this lesson, you will learn how to simplify integer exponents
At the end of this lesson, you will learn how to simplify rational exponents.
At the end of this lesson, you will be able to simplify radicals
You will learn more on simplifying radicals at the end of this lesson
You will be able to simplify any radicals at the of this lesson
At the end of the lesson, you will learn what is polynomial.
At the end of the lesson, you will learn how to factor polynomial
At the end of this lesson, you will learn how to simplify rational expression
At the end of this lesson, you will learn what are complex numbers
This is lesson is an example on writing complex form to standard form.
This video is more on writing complex numbers on standard form
At the end of this lesson, you will understand how to divide polynomial using long division
You will learn another example on how to divide polynomial with long division
At the end of this lesson, you will learn what are root or zeroes of polynomials
At the end of this lesson, you will learn how to use the Rational Root Theorem to find Zeroes of polynomials.
You will learn more on Rational root theorem at the end of this lesson
You will learn basic graphs of functions at the end of this lesson
At the end of this lesson, you will learn how to graph polynomial using multiplicity
This lesson is part 1 on partial fraction decomposition
This lesson is part 2 on partial fraction decomposition
This lesson is part 3 on partial fraction decomposition
This is the last example on partial fraction decomposition
At the end of this lesson, you will learn what are exponential functions
At the end of this lesson, you will learn how to solve exponential equations
At the end of this lesson, you will learn what is logarithmic functions
At the end of this lesson, you will learn how to solve logarithmic equations
This video is an introduction on how to apply logarithmic/exponential function
At the end of this lesson, you will learn how to apply exponential and logarithmic functions
At the end of this lesson, you will learn how to solve a linear system with two variables using the method of substitution
At the end of this lesson, you will learn how to solve a linear system with two variables using the method of Elimination
At the end of this lesson, you will learn how to solve linear system with three variables
At the end of this lesson, you will learn more examples on a linear system with three variables
At the end of this lesson, you will learn how to solve augmented matrix using gauss - Jordan elimination
At the end of this lesson, you will learn more on Augmented matrix using gauss-Jordan elimination
At the end of this lesson, you will learn how to solve nonlinear systems of equations
At the end of this lesson, you will learn more about how to solve nonlinear systems of equations
Congratulations on completing this course
Master the essential mathematical foundations required for advanced engineering, science, and data analysis.
Algebra is far more than just working with numbers; it is the study of mathematical symbols and the precise rules for manipulating them. It forms the critical basis for advanced studies in numerous high-demand fields, including engineering, physics, mathematics, medicine, and economics. Whether you are a student preparing for university-level coursework or a professional looking to sharpen your analytical skills, this course is designed to take you from fundamental concepts to complex problem-solving.
What You Will Learn
This course is structured into eight comprehensive sections to ensure a deep and logical understanding of each topic:
Section 1: Exponents – Build a strong start by mastering the rules and properties of exponents.
Section 2: Radicals – Gain a clear understanding of how to simplify and solve equations involving radicals.
Sections 3 & 5: Polynomials and Polynomial Functions – Learn the behaviour of polynomials and how to manipulate these critical algebraic expressions.
Section 4: Complex Numbers – Explore the world of imaginary and complex numbers to solve equations that go beyond real numbers.
Section 6: Partial Fraction Decomposition – Master this essential technique used for simplifying complex rational expressions, a vital skill for later calculus courses.
Section 7: Exponential and Logarithmic Functions – Understand the relationship between these two powerful function types.
Section 8: Systems of Equations – Learn the methods for finding unknowns in multiple equations simultaneously.
Why Take This Course?
Learning algebra helps you develop critical thinking skills, including improved logic, pattern recognition, and systematic reasoning. This course doesn't just provide theory; it focuses on helping you solve the "complicated questions" through step-by-step video explanations. By the end of this course, you will have the confidence to apply these mathematical tools to real-world scenarios and advanced academic challenges.
Enrol today to build a rock-solid mathematical foundation!