Some people seem to be born with a natural mathematical ability. Congratulations if that’s you! Others, like myself, can sometimes struggle with such concepts or procedures.

As a consequence, in 2021, I’ve compiled a list of the best online math courses for complete beginners to advanced students. These courses include basic addition, multiplying, dividing, subtracting, fractions, percentages, arithmetic, and a variety of other topics.

Is linear algebra something you’d like to learn? This is a comprehensive collection of free online linear algebra courses. To learn linear algebra in-depth and become a master of the subject, choose any linear algebra course from this list.

**List of Free Online ****Algebra** Classes

**Algebra**Classes

**1. ****First Steps in Linear Algebra for Machine Learning**** (Coursera)**

The main aim of the course is to clarify the basics of linear algebra and how they relate to data analysis and machine learning. Another aim is for students to develop their practical skills in machine learning and data processing using linear algebra methods. You’ll learn how to solve systems of linear algebraic equations and find simple matrix decompositions, as well as how to apply them.

This course is for you if you are not a complete novice in Matrix Analysis or Linear Algebra (for example, have studied it a long time ago, but now want to take the first steps in the direction of those aspects of Linear Algebra that are used in Machine Learning). This course might be right for you if you are really interested in studying Linear Algebra for Data Sciences.

**What You Will Learn –**

- An introduction to multi-dimensional geometry and matrix algebra.
- Linear system solutions based on Gaussian eliminations and LU-decompositions.
- Fundamental notions of linear algebra, namely: vector spaces, linear independence, and basis.
- Coordinates in an abstract vector space.

**Skills –**

- Number Theory
- Real Analysis
- Mathematical Logic
- Language

**Pre-requirements –**

No prerequisites are needed.

**Who can take this course –**

This course is open to anyone who wants to learn more and make better use of their time.

**Duration –**14 hours

**Instructor –** Dmitri Piontkovski, Vsevolod L.Chernyshev

**2. ****The Math of Data Science: Linear Algebra**** (Via Edx)**

This course will begin with linear equation systems and progress to vectors and vector spaces, matrices, and linear transformations. It emphasizes vocabulary in the lesson so that students feel at ease dealing with the different elements.

Then it goes over matrix and vector operations such as multiplication and inverses, paying special attention to the underlying objectives. Students can understand not only how to quantify them, but also why they work the way they do. The basic concepts of basis and dimension, which serve as the base for many more advanced concepts in linear algebra.

**What You Will Learn-**

- The relationships between linear equations, matrices, and linear transformations.
- The principles of vector and matrix operations.
- The significance of basis and dimension of a vector space.
- The applications of inner products and orthogonality.

**Skills –**

- Number Theory
- Real Analysis
- Mathematical Logic
- Language

**Pre-requirements –**

High school algebra. Some calculus is useful for certain examples or problems but is not strictly necessary.

**Who can take this course –**

This course is open to anyone who wants to learn more and make better use of their time.

**Duration –** 8 weeks

**Instructor –** Stephen Wang

**3. ****Linear Algebra Refresher Course**** (Udacity)**

This mini-course is for students who need to brush up on their linear algebra basics. The course aims to provide inspiration for “why” linear algebra is essential in addition to “what” linear algebra is.

Students can master linear algebra principles by using computer programs to apply them. By the end of the course, you will have developed your own personal library of linear algebra functions that you can use to solve real-world problems.

**What You Will Learn –**

- Learn the geometric and algebraic interpretation of intersections of “flat” objects and how to solve real-world problems.
- Write your own algorithm to find the intersections of sets of lines and planes.
- Learn the basic operations of vectors (one of the fundamental objects of study in linear algebra).
- Code a library of functions to perform operations on vectors that you will use in later lessons.

**Skills –**

- Number Theory
- Real Analysis
- Mathematical Logic
- Language

**Pre-requirements –**

No prerequisites are needed.

**Who can take this course –**

This course is open to anyone who wants to learn more and make better use of their time. A familiarity with high-school algebra and trigonometry will also be useful.

**Duration –** 18 hours

**Instructor –** Chris Pryby

**4. ****Linear Algebra for Beginners: Open Doors to Great Careers****(Udemy)**

This online course is for you if you want to build a strong foundation in Linear Algebra when studying on your own time for a fraction of the expense of a conventional university and advancing your career goals. This online course is for you if you’re a working professional who wants a refresher on linear algebra or a complete beginner who needs to study Linear Algebra for the first time.

Why you should take this online course: You need to brush up on your linear algebra skills in order to advance in your career and earn a higher salary. Since linear algebra is a mandatory mathematical subject in your chosen career area, such as computer science or electrical engineering, you must study it. Linear algebra is a mandatory or suggested subject if you want to obtain a master’s degree or a Ph.D.

**What You Will Learn –**

- Refresh your math knowledge.
- Gain a firm foundation in Linear Algebra for furthering your career.
- Learn one of the mathematical subjects crucial for Computer Science.
- Learn one of the mathematical subjects crucial for engineering, computer science, physics, economics, computer animation, and cryptography among many others.
- Learn one of the mathematical subjects needed for Data Science.
- Learn a mathematical subject useful in becoming a Quant on Wall Street.

**Skills –**

- Number Theory
- Real Analysis
- Mathematical Logic
- Language

**Pre-requirements –**

No prerequisites are needed.

**Who can take this course –**

- Working Professionals.
- Anyone interested in gaining mastery of the core concepts in Linear Algebra.
- Adult Learners.
- College Students.

**Duration –**10 hours

**Instructor –** Richard Han

**5. ****Free Algebra Training Courses**** (LinkedIn Learning)**

Pre-algebra is a high school mathematics course that lays the groundwork for geometry, trigonometry, and calculus. This course will teach you how to master math basics such as addition, subtraction, multiplication, and division, as well as new forms of numbers (integers and negative numbers) and concepts like order of operations and distribution.

This course contains practice problems and worksheets, as well as tips for teachers helping students with pre-algebra for the Common Core. Karin Hutchinson can also help with expression evaluation, writing, and simplification, as well as word problems and complex algebraic expressions.

**What You Will Learn –**

- The videos take you through all of the key concepts, from the fundamentals to the more advanced ones.
- Detailed instructions on how to begin the exercises are included in the lectures.
- There are exercises available for both online and offline practise.

**Skills –**

Pre-Algebra

**Pre-requirements –**

No prerequisites are needed.

**Who can take this course –**

This course is open to anyone who wants to learn more and make better use of their time.

**Duration –** Variable

**Instructor –** Karin Hutchinson

**6.**** Introduction to Mathematical Thinking**** (Coursera)**

Learn to think like a mathematician, a complex cognitive mechanism that has developed over thousands of years.

Mathematical reasoning is not the same as doing math, at least not in the way it is taught in our educational system. In school math, learning procedures to solve highly stereotyped problems is a common subject. Professional mathematicians have a particular way of thinking to solve real-world problems, whether they come from the real world, science, or mathematics itself. Success in school math necessitates the ability to think outside the box. The ability to think outside the box, on the other hand, is a core characteristic of mathematical thought, and it is a valuable skill in today’s world. This course will help you cultivate a strategic attitude.

**What You Will Learn –**

- Analysis of language, putting into place the linguistic apparatus.
- The branch of mathematics known as Number Theory.
- The parts of language we are focusing on have particular importance in mathematics.

**Skills-**

- Number Theory
- Real Analysis
- Mathematical Logic
- Language

**Pre-requirements –**

No prerequisites are needed.

**Who can take this course –**

This course is open to anyone who wants to learn more and make better use of their time.

**Duration –** 39 hours

**Instructor –** Dr. Keith Devlin

**7. ****Become an Algebra Master**** (Coursera)**

Become an Algebra expert. The following parts make up the Master: Equation operations and laws Like words, simple equations, and advanced equations Manipulation and functions Inequalities and graphing inequalities, roles Points, lines, parabolas, and circles are all graphed. Do you want to develop your skills anymore? After you’ve finished the segment, go over everything you’ve learned in the bonus workbook. The workbooks have a lot of extra practice issues, so they’re a great way to go over what you learned in that section again.

**What You Will Learn –**

- Operations, including order of operations (PEMDAS) and like-terms.
- Fractions, exponents, and radicals, including advanced operations with all three.
- Equations and systems of equations, including inverse operations, direct and inverse variation, and distance/rate/time problems.
- Graphing, including parallel and perpendicular lines, and parabolas.
- Polynomials and factoring, including the quadratic formula and completing the square.
- Functions, including domain and range, and sums and products of functions.
- Inequalities, including trichotomy and graphing inequalities and conjunctions on a number line.
- Exponential and logarithmic functions, including laws of logs, change of base, and graphing.

**Skills –**

- Number Theory
- Real Analysis
- Mathematical Logic
- Language

**Pre-requirements –**

No prerequisites are needed.

**Who can take this course –**

- Current Algebra 1 and Algebra 2 students, or students about to start algebra who are looking to get ahead.
- Homeschool parents looking for extra support with algebra.
- Anyone who wants to study math for fun after being away from school for a while.

**Duration –**15 hours

**Instructor –** Krista King

**8. ****Quickly Master Basic Math**** (Udemy)**

Welcome to Quickly Mastering Basic Math, where we can work together to learn math from the ground up.

Math is like constructing a house or a structure; the foundation is the most significant and first thing constructed because it lets the house or structure stay up, and the strength of the foundation also decides how long the house stays up for, which is what I’d like to help you with.

A strong math base that will allow you to easily progress to more advanced math topics such as pre-algebra, algebra, and geometry, to name a few.

**What You Will Learn –**

- Learn Math, as you’ve never learned math before.
- Concept of what is added, followed by a few Examples of addition problems to help you master addition.
- Concept of what is subtraction, followed by a few Examples of subtraction problems to help you master subtraction.
- Concept of what is Multiplication, followed by a few Examples of multiplication problems to help you master multiplying.
- Concept of what is division, followed by a few Examples of division problems to help you master dividing.
- Concept of what is a fraction, followed by a few Examples of fractions problems to help you master fractions.
- Concept of what is decimals, followed by a few Examples of decimals problems to help you master multiplying.

**Skills –**

- Number Theory
- Real Analysis
- Mathematical Logic
- Language

**Pre-requirements –**

No prerequisites are needed.

**Who can take this course –**

This course is open to anyone who wants to learn more and make better use of their time.

**Duration –**Variable

**Instructor –** Kevin Ventura

**9. ****Learning Everyday Math**** (LinkedIn Learning)**

This course uses real-world problems to illustrate important math concepts in a straightforward and understandable way, enabling students of all levels to feel more secure in their math abilities. Calculate figures for tips and taxes, price comparisons when shopping, area and volume calculations for home improvement projects, and even calories. The sections are divided into three foundational areas and four real-life areas. Author Vince Kotchian also offers advice on where to develop your math skills next. Start by mastering the basic math skills that will make your life easier.

**What You Will Learn –**

- The videos take you through all of the key concepts, from the fundamentals to the more advanced ones.
- Detailed instructions on how to begin the exercises are included in the lectures.
- There are exercises available for both online and offline practice.

**Skills –**

**Pre-requirements –**

No prerequisites are needed.

**Who can take this course –**

This course is open to anyone who wants to learn more and make better use of their time.

**Duration –** Variable

**Instructor –** Vince Kotchian

**10. ****Probability – The Science of Uncertainty and Data****(Via Edx)**

Accidents, hurricanes, rogue financial markets, and obnoxious communications are all too common in the world. In addition, the planet is awash in data. Probabilistic modeling and the related field of statistical inference are important for analyzing data and making scientifically sound predictions.

Probabilistic models use mathematical vocabulary. Rather than using the conventional “theorem-proof” format, we construct the material in an intuitive — but still rigorous and mathematically precise — manner. Moreover, although there are various and obvious applications, we emphasize the widely applicable basic principles and methodologies.

**What You Will Learn –**

- The basic structure and elements of probabilistic models.
- Random variables, their distributions, means, and variances.
- Probabilistic calculations.
- Inference methods.
- Laws of large numbers and their applications.
- Random processes.

**Skills –**

- Number Theory
- Real Analysis
- Mathematical Logic
- Language

**Pre-requirements –**

No prerequisites are needed.

**Who can take this course –**

College-level calculus (single-variable & multivariable). Comfort with mathematical reasoning; and familiarity with sequences, limits, infinite series, the chain rule, and ordinary or multiple integrals.

**Duration –** 16 weeks