We may earn an affiliate commission when you visit our partners.
Alicia Herrero Debón
In this course you will be reminded of what an equation with a single unknown is and how to solve it. From there, we will deal with:
Read more
In this course you will be reminded of what an equation with a single unknown is and how to solve it. From there, we will deal with:
Read more
In this course you will be reminded of what an equation with a single unknown is and how to solve it. From there, we will deal with:
- Systems of linear equations. How they are defined, how they are classified and how they are solved using Gauss' method.
- The concept of matrix and operations between matrices.
- The calculation of inverse matrices using Gaussian and adjoint methods.
- An introduction to matrix equations
- The determinant of a square matrix and its calculation
- The rank of a matrix
- The matrix expression of a system of linear equations and Cramer's rule
What you'll learn
In this course:
- You will learn about systems of linear equations and their solution.
- We will introduce the concept of matrix
- You will learn how to perform operations with matrices, how to calculate inverse matrices and determinants of square matrices.
Register for this course and see more details by visiting:
OpenCourser.com/course/evsftm/math
Two deals to help you save
We found two deals and offers that may be relevant to this course.
Save money when you learn.
All coupon codes, vouchers, and discounts are applied automatically unless otherwise noted.
EDXCYBER24
What's inside
Learning objectives
- You will learn about systems of linear equations and their solution.
- We will introduce the concept of matrix
- You will learn how to perform operations with matrices, how to calculate inverse matrices and determinants of square matrices.
- You will learn about systems of linear equations and their solution.
- We will introduce the concept of matrix
- You will learn how to perform operations with matrices, how to calculate inverse matrices and determinants of square matrices.
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Develops systems of linear equations and their solution, which is standard in engineering and math
Explores linear equations and their solution, which is useful for data science and AI
Introduces matrices and their operations, which are key for data processing and visualization
Develops inverse matrix calculation and determinant of square matrices, which helps learners analyze matrix-related concepts
Examines matrix equations, which is helpful for computer science and engineering
Presents matrix rank and Cramer's rule, which are essential for solving systems of linear equations
Save this course
Save Math Fundamentals: Algebra to your list so you can find it easily later:
Save
Save
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in Math Fundamentals: Algebra with these
activities:
Review the basics of linear algebra
Show steps
Refreshing your knowledge of linear algebra will help you build a stronger foundation for this course.
Browse courses on
Linear Algebra
Show steps
-
Review your notes or textbooks from previous math courses
-
Work through practice problems or exercises
-
Watch online tutorials or videos to reinforce your understanding
Identify a mentor who can provide guidance and support
Show steps
Having a mentor can provide you with valuable guidance and support throughout your learning journey.
Show steps
-
Talk to your professors or teaching assistants about potential mentors
-
Reach out to professionals in the field who may be willing to mentor you
-
Attend industry events or conferences to connect with potential mentors
Create a cheat sheet or summary of matrix operations
Show steps
Creating a cheat sheet or summary will help you organize and retain the information you're learning in the course.
Browse courses on
Matrix Operations
Show steps
-
Gather the key formulas and concepts related to matrix operations
-
Organize and write down the information in a clear and concise format
-
Review your cheat sheet or summary regularly to reinforce your understanding
Six other activities
Expand to see all activities and additional details
Show all nine activities
Form a study group with classmates
Show steps
Studying with peers can enhance your understanding and problem-solving skills.
Show steps
-
Find a group of classmates who are also taking the course
-
Set up regular study sessions to discuss the course material
-
Work together to solve problems and clarify concepts
Review 'Applied Linear Algebra' by Peter J. Olver and Chehrzad Shakiban
Show steps
Reviewing this book will help you delve deeper into the concepts you're learning in the course, and work through additional exercises to gain a better understanding.
View
Applied Linear Algebra (Undergraduate Texts in...
on Amazon
Show steps
-
Read the chapter or section in the book that corresponds with the topic being covered in class
-
Work through the exercises at the end of the chapter or section
-
Compare your answers to the solutions provided in the book or online
Volunteer at a local math club or tutoring center
Show steps
Volunteering can help you reinforce your knowledge and skills by assisting others.
Show steps
-
Find a local math club or tutoring center that needs volunteers
-
Offer your help with tutoring or other activities
-
Share your knowledge and skills with others while gaining valuable experience
Solve linear equations using Gaussian elimination
Show steps
Solving linear equations is a fundamental skill in linear algebra. This activity will help you practice these techniques and develop proficiency in this area.
Browse courses on
Linear Equations
Show steps
-
Find a set of practice problems or exercises
-
Attempt to solve the problems on your own
-
Check your answers against a solution manual or online resources
Learn about matrix determinants and their properties
Show steps
Understanding determinants is important for solving systems of linear equations and other applications. This activity will guide you through the key concepts and properties of determinants.
Show steps
-
Find online tutorials or videos that explain matrix determinants
-
Follow the steps and examples provided in the tutorials
-
Try to solve practice problems or exercises related to determinants
Develop a project to apply your knowledge of matrix theory
Show steps
Working on a project will allow you to apply your skills and knowledge in a practical setting.
Show steps
-
Identify a problem or challenge that can be addressed using matrix theory
-
Gather data and research the necessary concepts
-
Design and implement a matrix-based solution
-
Test and evaluate the solution
Review the basics of linear algebra
Show steps
Refreshing your knowledge of linear algebra will help you build a stronger foundation for this course.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Review your notes or textbooks from previous math courses
- Work through practice problems or exercises
- Watch online tutorials or videos to reinforce your understanding
Identify a mentor who can provide guidance and support
Show steps
Having a mentor can provide you with valuable guidance and support throughout your learning journey.
Show steps
Show steps
Show steps
- Talk to your professors or teaching assistants about potential mentors
- Reach out to professionals in the field who may be willing to mentor you
- Attend industry events or conferences to connect with potential mentors
Create a cheat sheet or summary of matrix operations
Show steps
Creating a cheat sheet or summary will help you organize and retain the information you're learning in the course.
Browse courses on
Matrix Operations
Show steps
Show steps
Show steps
- Gather the key formulas and concepts related to matrix operations
- Organize and write down the information in a clear and concise format
- Review your cheat sheet or summary regularly to reinforce your understanding
Six other activities
Expand to see all activities and additional details
Show all nine activities
Form a study group with classmates
Show steps
Studying with peers can enhance your understanding and problem-solving skills.
Show steps
Show steps
Show steps
- Find a group of classmates who are also taking the course
- Set up regular study sessions to discuss the course material
- Work together to solve problems and clarify concepts
Review 'Applied Linear Algebra' by Peter J. Olver and Chehrzad Shakiban
Show steps
Reviewing this book will help you delve deeper into the concepts you're learning in the course, and work through additional exercises to gain a better understanding.
View
Applied Linear Algebra (Undergraduate Texts in...
on Amazon
Show steps
Show steps
Show steps
- Read the chapter or section in the book that corresponds with the topic being covered in class
- Work through the exercises at the end of the chapter or section
- Compare your answers to the solutions provided in the book or online
Volunteer at a local math club or tutoring center
Show steps
Volunteering can help you reinforce your knowledge and skills by assisting others.
Show steps
Show steps
Show steps
- Find a local math club or tutoring center that needs volunteers
- Offer your help with tutoring or other activities
- Share your knowledge and skills with others while gaining valuable experience
Solve linear equations using Gaussian elimination
Show steps
Solving linear equations is a fundamental skill in linear algebra. This activity will help you practice these techniques and develop proficiency in this area.
Browse courses on
Linear Equations
Show steps
Show steps
Show steps
- Find a set of practice problems or exercises
- Attempt to solve the problems on your own
- Check your answers against a solution manual or online resources
Learn about matrix determinants and their properties
Show steps
Understanding determinants is important for solving systems of linear equations and other applications. This activity will guide you through the key concepts and properties of determinants.
Show steps
Show steps
Show steps
- Find online tutorials or videos that explain matrix determinants
- Follow the steps and examples provided in the tutorials
- Try to solve practice problems or exercises related to determinants
Develop a project to apply your knowledge of matrix theory
Show steps
Working on a project will allow you to apply your skills and knowledge in a practical setting.
Show steps
Show steps
Show steps
- Identify a problem or challenge that can be addressed using matrix theory
- Gather data and research the necessary concepts
- Design and implement a matrix-based solution
- Test and evaluate the solution
Career center
Learners who complete Math Fundamentals: Algebra will develop knowledge and skills
that may be useful to these careers:
Financial Risk Manager
Financial Risk Manager
A financial risk manager develops and implements strategies to manage financial risk. Someone who is looking to become a financial risk manager would benefit greatly from completing this course. The content of this course is directly applicable to this career and will provide a strong foundation on which to build.
Business Analyst
Business Analyst
A Business Analyst identifies and solves business problems. This course could be useful for a Business Analyst, as it will provide a good foundation in algebra, a subject that is relevant to business analysis.
Operations Research Analyst
Operations Research Analyst
An Operations Research Analyst uses mathematical modeling to solve business problems. This course would be a good choice for an Operations Research Analyst, as the study of algebra is directly relevant to the work done by someone in this role.
Statistician
Statistician
A Statistician collects, analyzes, interprets, and presents data. This course may be helpful for someone who wants to become a Statistician, since a thorough understanding of algebra is important in this role.
Software Engineer
Software Engineer
A Software Engineer designs, develops, and maintains software systems. This course could be useful to someone who wants to work as a Software Engineer, as it will provide a good foundation in algebra.
Data Analyst
Data Analyst
A Data Analyst gathers and interprets data to help organizations make informed decisions. This course could prove to be especially useful for a Data Analyst, since a grasp of algebra is vital for effective data analysis. The course provides the opportunity to learn about algebra in a convenient, flexible format.
Financial Analyst
Financial Analyst
A Financial Analyst provides advice on investments and portfolios. This course could be a good option for someone interested in becoming a Financial Analyst, as a strong understanding of algebra is often required.
Data Scientist
Data Scientist
A Data Scientist combines programming, mathematics, and statistics to extract insights from data. This course may be of use to someone who wants to enter this field, as it includes topics in algebra, which is vital to data science.
Product Manager
Product Manager
A Product Manager develops and manages products. This course could be of interest to someone who wants to become a Product Manager, as it includes topics in algebra, a subject that is used in product development.
Consultant
Consultant
A Consultant provides advice and services to businesses. This course could be helpful for someone who plans to work as a Consultant, as it may provide them with valuable insights into how businesses operate.
Quantitative Analyst
Quantitative Analyst
A Quantitative Analyst develops and implements mathematical models to analyze financial data. This course could be beneficial to a Quantitative Analyst, as some of the material covered in the course is directly applicable to the work a person in this role does every day.
Actuary
Actuary
An Actuary assesses financial risks and develops strategies to mitigate those risks. This course may prove beneficial to someone who wants to work as an Actuary, as algebra is one of the cornerstones of this profession.
Investment Banker
Investment Banker
An Investment Banker provides financial advice to companies and governments. Someone who hopes to enter this field would greatly benefit from taking this course. The concepts covered in this course, especially the details of algebra, will give a leg up in this role.
Market Research Analyst
Market Research Analyst
A Market Research Analyst conducts research to understand consumer behavior and market trends. This course may be helpful for someone who wants to pursue a career as a Market Research Analyst, as it provides foundational knowledge in algebra, which is useful for analyzing market data.
Risk Analyst
Risk Analyst
A Risk Analyst identifies and assesses financial risks. This course could be beneficial for someone who wants to get into the field of Risk Analysis, as it includes topics that are vital for professionals to know.
For more career information including salaries, visit:
OpenCourser.com/course/evsftm/math
Reading list
We've selected 19 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Math Fundamentals: Algebra.
Provides a comprehensive introduction to linear algebra, covering the topics discussed in the course, including systems of linear equations, matrices, determinants, and matrix equations.
Classic textbook on linear algebra. It good choice for students who want to learn more about the subject in depth.
Provides a good overview of the mathematics that is used in machine learning. It good choice for students who want to learn more about the subject.
Provides a good overview of the probability and statistics that is used in machine learning. It good choice for students who want to learn more about the subject.
Save
Provides a good overview of the deep learning process. It good choice for students who want to learn more about the subject.
Provides a good overview of the reinforcement learning process. It good choice for students who want to learn more about the subject.
Save
Provides a good overview of the computer vision process. It good choice for students who want to learn more about the subject.
Provides a good overview of the natural language processing process. It good choice for students who want to learn more about the subject.
Provides a modern and accessible introduction to linear algebra, emphasizing the use of technology and applications.
More advanced treatment of linear algebra. It good choice for students who want to learn more about the subject in depth.
Provides a gentle introduction to linear algebra, making it accessible to readers with no prior knowledge of the subject.
Provides a comprehensive treatment of linear algebra in Spanish.
Provides an introduction to matrix methods in the context of data analysis and applied statistics. It covers topics such as principal component analysis, factor analysis, and discriminant analysis.
Provides a comprehensive treatment of numerical linear algebra, including topics such as matrix computations, eigenvalue problems, and iterative methods.
Provides a clear and concise introduction to matrices and linear transformations.
Provides a rigorous and abstract treatment of linear algebra.
Provides a comprehensive treatment of advanced linear algebra, including topics such as multilinear algebra, Lie algebras, and representation theory.
Provides a comprehensive treatment of algebra, including topics such as group theory, ring theory, and field theory.
Provides a comprehensive treatment of topology.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/evsftm/math
Share
Similar courses
Here are nine courses similar to
Math Fundamentals: Algebra.
Linear Algebra II: Matrix Algebra
OpenCourser.com/course/7yzw9j/linear
Linear Algebra II: Matrix Algebra
Most relevant
Linear Algebra and Geometry 1
OpenCourser.com/course/demn0j/linear
Linear Algebra and Geometry 1
Most relevant
Doğrusal Cebir II: Kare Matrisler, Hesaplama Yöntemleri ve Uygulamalar / Linear Algebra II: Square Matrices, Calculation Methods and Applications
OpenCourser.com/course/8j814c/dogrusal
Doğrusal Cebir II: Kare Matrisler, Hesaplama Yöntemleri...
Most relevant
Linear Algebra and Geometry 2
OpenCourser.com/course/zpm2oy/linear
Linear Algebra and Geometry 2
Most relevant
A-level Further Mathematics for Year 12 - Course 1: Complex Numbers, Matrices, Roots of Polynomial Equations and Vectors
OpenCourser.com/course/ci1vas/a
A-level Further Mathematics for Year 12 - Course 1:...
Most relevant
Linear Algebra III: Determinants and Eigenvalues
OpenCourser.com/course/qxv076/linear
Linear Algebra III: Determinants and Eigenvalues
Most relevant
Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors
OpenCourser.com/course/3vpydz/linear
Linear Algebra: Matrix Algebra, Determinants, &...
Most relevant
Introduction to Linear Algebra
OpenCourser.com/course/tcvvey/introduction
Introduction to Linear Algebra
Most relevant
Linear Algebra IV: Orthogonality & Symmetric Matrices and the SVD
OpenCourser.com/course/3y95j3/linear
Linear Algebra IV: Orthogonality & Symmetric Matrices and...
Most relevant
Effort
3 to 4 hours per week for 4 weeks
Level
Elementary
Via
edX
Institution
Universitat Politècnica de València
Instructor
Alicia Herrero Debón
Language
English
Transcript
English
Good to know
Develops systems of linear equations and their solution, which is standard in engineering and math
Explores linear equations and their solution, which is useful for data science and AI
Introduces matrices and their operations, which are key for data processing and visualization
Develops inverse matrix calculation and determinant of square matrices, which helps learners analyze matrix-related concepts
Examines matrix equations, which is helpful for computer science and engineering
Presents matrix rank and Cramer's rule, which are essential for solving systems of linear equations
Our mission
OpenCourser helps millions of learners each year. People visit us to learn workspace skills, ace their exams, and nurture their curiosity.
Our extensive catalog contains over 50,000 courses and twice as many books. Browse by search, by topic, or even by career interests. We'll match you to the right resources quickly.
Find this site helpful? Tell a friend about us.
Affiliate disclosure
We're supported by our community of learners. When you purchase or subscribe to courses and programs or purchase books, we may earn a commission from our partners.
Your purchases help us maintain our catalog and keep our servers humming without ads.
Thank you for supporting OpenCourser.
© 2016 - 2024 OpenCourser