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Math Fundamentals
Algebra
Alicia Herrero Debón
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
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:
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Activities
Coming soon
We're preparing activities for
Math Fundamentals: Algebra.
These are activities you can do either before, during, or after a course.
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
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Effort
3 to 4 hours per week for 4 weeks
Level
Elementary
Via
edX
Institution
Universitat Politècnica de València
Instructor
Alicia Herrero Debón
Session
November 14, 2023
- November 11, 2024
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
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