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Linear Algebra: Complete Guide to Algebra Foundation
Rating: 4.0 out of 5(1 rating)
5 students

Linear Algebra: Complete Guide to Algebra Foundation

Master exponents, radicals, polynomials, and complex numbers with step-by-step lectures and practice quizzes.
Last updated 1/2026
English

What you'll learn

  • Students will learn the Basic terminology which relate to systems of linear equations.
  • They will learn the different Methods for solving a system of linear equations
  • echelon form of a matrix
  • Row reducing a matrix
  • Applications of Linear Algebra Ideas
  • Polynomials Equations
  • Partial Fraction Decomposition
  • Applications of Linear Algebra Ideas
  • Simplifying Radicals
  • Complex Numbers
  • Student will learn different form a matricies

Course content

8 sections40 lectures5h 47m total length
  • INTRODUCTION TO COURSE2:34
  • Integer Exponents11:41

    At the end of this lesson, you will learn how to simplify integer exponents

  • Rational Exponents4:55

    At the end of this lesson, you will learn how to simplify rational exponents.

Requirements

  • Basic understanding of Math arithmetic like addition, subtraction, multiplication and division of numbers.
  • You should be able to solve equations, graph equations and factor equations. If not, it is ok. you will learn from this course
  • Basic knowledge about root and exponents
  • You'll only need basic knowledge in Algebra to solve Linear Algebra problems, so if you have those basic knowledge and foundation, you'll be well prepared for this course, and this course is really for you
  • You will need a pen and a book to write down everything you will learn from this course
  • You will need patience and dedication to learn

Description

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!

Who this course is for:

  • Anyone searching for help in Algebra and don't know what to do
  • Freshman student who want to learn and understand Algebra
  • Students who want to master Linear Algebra
  • Student who already have some knowledge in Linear Algebra and want to expand their knowledge in Linear Algebra
  • Home school parents looking for extra support with Linear Algebra for their child
  • Anyone who want to study Linear Algebra for fun
  • Anyone who has been away from school for a while and want to freshen up their knowledge in Algebra
  • Anyone who love Algebra and want to study algebra
  • Anyone who need a private Algebra tutor but can't find any
  • Anyone who will love to study Algebra from home
  • Anyone who would like to study Algebra on their free time
  • Anyone who always find it difficult to understand Algebra. This course is for you
  • Anyone afraid of Algebra exams. This course is for you