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Mat Leonard,
Parnian Barekatain,
Eddy Shyu,
Brok Bucholtz,
Elizabeth Otto Hamel,
Cindy Lin,
Cezanne Camacho,
Arpan Chakraborty,
Luis Serrano,
and
Juan Delgado
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OpenCourser.com/course/cck7eb/linear
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What's inside
Syllabus
Take a sneak peek into the beautiful world of Linear Algebra and learn why it is such an important mathematical tool.
Learn about vectors, the basic building block of Linear Algebra.
Read more
Syllabus
Take a sneak peek into the beautiful world of Linear Algebra and learn why it is such an important mathematical tool.
Learn about vectors, the basic building block of Linear Algebra.
Read more
Learn how to scale and add vectors and how to visualize the process.
What is a linear transformation and how is it directly related to matrices? Learn how to apply the math and visualize the concept.
Save this course
Save Linear Algebra to your list so you can find it easily later:
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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 Linear Algebra with these
activities:
Review basic algebra
Show steps
Strengthen your foundation in algebra to support your learning in Linear Algebra.
Browse courses on
Algebra
Show steps
-
Review your notes from previous algebra courses.
-
Solve practice problems on algebra topics.
-
Take an online quiz or assessment to test your understanding.
Watch video tutorials
Show steps
Supplement your learning by watching video tutorials from experts.
Browse courses on
Linear Algebra
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-
Find video tutorials on YouTube or other online platforms.
-
Watch the tutorials and take notes.
-
Summarize the main concepts covered in the tutorials.
Review the textbook
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Familiarize yourself with the concepts and notation used in the course.
View
Linear Algebra and Its Applications, Global...
on Amazon
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-
Read the first chapter of the textbook.
-
Summarize the main concepts covered in the chapter.
-
Solve the practice problems at the end of the chapter.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Solve practice problems
Show steps
Reinforce your understanding of the concepts by practicing solving problems.
Browse courses on
Vector Operations
Show steps
-
Find practice problems online or in the textbook.
-
Solve the problems without looking at the solutions.
-
Check your answers against the solutions.
-
Identify any areas where you need more practice.
Create a concept map
Show steps
Visualize and organize your understanding of the concepts by creating a concept map.
Browse courses on
Linear Algebra
Show steps
-
Identify the main concepts in the course.
-
Draw a diagram that shows the relationships between the concepts.
-
Add details and examples to the diagram.
Write a summary of a lecture
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Reinforce your understanding of the lectures by writing a summary.
Browse courses on
Linear Algebra
Show steps
-
Attend a lecture.
-
Take notes during the lecture.
-
Write a summary of the lecture.
Discuss the concepts with classmates
Show steps
Engage with fellow students to discuss and clarify the concepts.
Browse courses on
Linear Algebra
Show steps
-
Find a study partner or group.
-
Meet regularly to discuss the course material.
-
Quiz each other on the concepts.
Participate in a Linear Algebra competition
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Test your skills and knowledge in a competitive setting.
Browse courses on
Linear Algebra
Show steps
-
Find a Linear Algebra competition.
-
Register for the competition.
-
Practice for the competition.
-
Compete in the competition.
Review basic algebra
Show steps
Strengthen your foundation in algebra to support your learning in Linear Algebra.
Browse courses on
Algebra
Show steps
Show steps
Show steps
- Review your notes from previous algebra courses.
- Solve practice problems on algebra topics.
- Take an online quiz or assessment to test your understanding.
Watch video tutorials
Show steps
Supplement your learning by watching video tutorials from experts.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Find video tutorials on YouTube or other online platforms.
- Watch the tutorials and take notes.
- Summarize the main concepts covered in the tutorials.
Review the textbook
Show steps
Familiarize yourself with the concepts and notation used in the course.
View
Linear Algebra and Its Applications, Global...
on Amazon
Show steps
Show steps
Show steps
- Read the first chapter of the textbook.
- Summarize the main concepts covered in the chapter.
- Solve the practice problems at the end of the chapter.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Solve practice problems
Show steps
Reinforce your understanding of the concepts by practicing solving problems.
Browse courses on
Vector Operations
Show steps
Show steps
Show steps
- Find practice problems online or in the textbook.
- Solve the problems without looking at the solutions.
- Check your answers against the solutions.
- Identify any areas where you need more practice.
Create a concept map
Show steps
Visualize and organize your understanding of the concepts by creating a concept map.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Identify the main concepts in the course.
- Draw a diagram that shows the relationships between the concepts.
- Add details and examples to the diagram.
Write a summary of a lecture
Show steps
Reinforce your understanding of the lectures by writing a summary.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Attend a lecture.
- Take notes during the lecture.
- Write a summary of the lecture.
Discuss the concepts with classmates
Show steps
Engage with fellow students to discuss and clarify the concepts.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Find a study partner or group.
- Meet regularly to discuss the course material.
- Quiz each other on the concepts.
Participate in a Linear Algebra competition
Show steps
Test your skills and knowledge in a competitive setting.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Find a Linear Algebra competition.
- Register for the competition.
- Practice for the competition.
- Compete in the competition.
Career center
Learners who complete Linear Algebra will develop knowledge and skills
that may be useful to these careers:
Machine Learning Engineer
Machine Learning Engineer
Machine Learning Engineers design, develop, and maintain machine learning models that power a wide range of applications. Linear Algebra is crucial for Machine Learning Engineers as it provides the mathematical framework for understanding and working with data in high-dimensional spaces. The course covers topics such as vectors, matrices, and linear transformations, which are essential for building and optimizing machine learning models. By taking this course, you'll gain a solid foundation in the mathematical concepts underlying machine learning and enhance your ability to develop and deploy successful machine learning solutions.
Data Analyst
Data Analyst
Data Analysts help companies understand their data by applying mathematical and statistical techniques to extract meaningful insights. Linear Algebra is essential for Data Analysts because it provides the foundation for understanding the underlying structure of data. The course's focus on vectors, matrices, and linear transformations helps build a foundation for working with data in various forms. By taking this course, you'll gain a deeper understanding of the mathematical concepts that underpin data analysis and enhance your ability to extract valuable insights from data.
Data Scientist
Data Scientist
Data Scientists use mathematical and statistical models to extract insights from data. Linear Algebra is essential for Data Scientists as it provides the mathematical framework for understanding and working with data. The course's focus on vectors, matrices, and linear transformations helps build a foundation for analyzing data and developing data-driven solutions. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying data science and enhance your ability to extract insights from data.
Quantitative Analyst
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze financial data and make investment decisions. Linear Algebra is essential for Quantitative Analysts as it provides the mathematical framework for understanding and working with financial data. The course's focus on vectors, matrices, and linear transformations helps build a foundation for analyzing financial data and developing trading strategies. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying quantitative finance and enhance your ability to make informed investment decisions.
Statistician
Statistician
Statisticians use mathematical and statistical models to analyze data and draw conclusions. Linear Algebra is essential for Statisticians as it provides the mathematical framework for understanding and working with data. The course's focus on vectors, matrices, and linear transformations helps build a foundation for analyzing data and developing statistical models. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying statistics and enhance your ability to analyze data and draw informed conclusions.
Operations Research Analyst
Operations Research Analyst
Operations Research Analysts use mathematical and statistical models to improve the efficiency of business operations. Linear Algebra is essential for Operations Research Analysts as it provides the mathematical framework for understanding and working with operational data. The course's focus on vectors, matrices, and linear transformations helps build a foundation for analyzing operational data and developing optimization strategies. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying operations research and enhance your ability to improve the efficiency of business operations.
Financial Analyst
Financial Analyst
Financial Analysts use financial data to assess the performance of companies and make investment recommendations. Linear Algebra is essential for Financial Analysts as it provides the mathematical framework for understanding and working with financial data. The course's focus on vectors, matrices, and linear transformations helps build a foundation for analyzing financial data and developing investment strategies. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying financial analysis and enhance your ability to make informed investment decisions.
Actuary
Actuary
Actuaries use mathematical and statistical models to assess risk and make financial decisions. Linear Algebra is essential for Actuaries as it provides the mathematical framework for understanding and working with risk data. The course's focus on vectors, matrices, and linear transformations helps build a foundation for analyzing risk data and developing risk management strategies. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying actuarial science and enhance your ability to make informed risk management decisions.
Civil Engineer
Civil Engineer
Civil Engineers design, develop, and maintain civil infrastructure. Linear Algebra may be useful for Civil Engineers who work with structural analysis or fluid dynamics. The course's focus on vectors, matrices, and linear transformations can help build a foundation for understanding and working with structural analysis and fluid dynamics. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying structural analysis and fluid dynamics and enhance your ability to design, develop, and maintain civil infrastructure.
Robotics Engineer
Robotics Engineer
Robotics Engineers design, develop, and maintain robots. Linear Algebra may be useful for Robotics Engineers who work with robot kinematics or control. The course's focus on vectors, matrices, and linear transformations can help build a foundation for understanding and working with robot kinematics and control. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying robot kinematics and control and enhance your ability to design, develop, and maintain robots.
Aerospace Engineer
Aerospace Engineer
Aerospace Engineers design, develop, and maintain aircraft and spacecraft. Linear Algebra may be useful for Aerospace Engineers who work with flight dynamics or control. The course's focus on vectors, matrices, and linear transformations can help build a foundation for understanding and working with flight dynamics and control. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying flight dynamics and control and enhance your ability to design, develop, and maintain aircraft and spacecraft.
Mechanical Engineer
Mechanical Engineer
Mechanical Engineers design, develop, and maintain mechanical systems. Linear Algebra may be useful for Mechanical Engineers who work with structural analysis or control. The course's focus on vectors, matrices, and linear transformations can help build a foundation for understanding and working with structural analysis and control. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying structural analysis and control and enhance your ability to design, develop, and maintain mechanical systems.
Chemical Engineer
Chemical Engineer
Chemical Engineers design, develop, and maintain chemical processes. Linear Algebra may be useful for Chemical Engineers who work with process control or optimization. The course's focus on vectors, matrices, and linear transformations can help build a foundation for understanding and working with process control and optimization. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying process control and optimization and enhance your ability to design, develop, and maintain chemical processes.
Computer Graphics Artist
Computer Graphics Artist
Computer Graphics Artists use computer software to create digital images and animations. Linear Algebra may be useful for Computer Graphics Artists who work with 3D graphics or animation. The course's focus on vectors, matrices, and linear transformations can help build a foundation for understanding and working with 3D graphics and animation. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying 3D graphics and animation and enhance your ability to create realistic and visually appealing digital images and animations.
Software Engineer
Software Engineer
Software Engineers design, develop, and maintain software systems. Linear Algebra may be useful for Software Engineers in certain specialized fields, such as computer graphics, computer vision, or robotics. The course's focus on vectors, matrices, and linear transformations can help build a foundation for understanding and working with data in these specialized fields. By taking this course, you'll gain a deeper understanding of the mathematical concepts underlying these specialized fields and enhance your ability to develop and maintain software systems in these areas.
For more career information including salaries, visit:
OpenCourser.com/course/cck7eb/linear
Reading list
We've selected 12 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
Linear Algebra.
Classic textbook on linear algebra that provides a comprehensive overview of the subject. It is well-written and contains numerous examples and exercises.
Save
Comprehensive introduction to linear algebra that is suitable for students with a variety of backgrounds. It covers a wide range of topics, including vector spaces, matrices, and linear transformations, and it includes many challenging exercises.
Is another excellent textbook on linear algebra that is well-suited for students with a strong mathematical background. It covers a wide range of topics, including vector spaces, matrices, and linear transformations.
Save
Unique introduction to linear algebra that uses a geometric approach to explain the concepts. It is suitable for students with a variety of backgrounds and includes many helpful examples and exercises.
More concise introduction to linear algebra that is ideal for students who are new to the subject. It covers the basics of vector spaces, matrices, and linear transformations, and it includes many helpful examples and exercises.
More advanced treatment of linear algebra that is suitable for students with a strong mathematical background. It covers a wide range of topics, including vector spaces, matrices, and linear transformations, and it includes many challenging exercises.
Modern introduction to linear algebra that is suitable for students with a variety of backgrounds. It covers the basics of vector spaces, matrices, and linear transformations, and it includes many helpful examples and exercises.
Comprehensive introduction to linear algebra that is suitable for students with a strong mathematical background. It covers a wide range of topics, including vector spaces, matrices, and linear transformations, and it includes many challenging exercises.
Classic textbook on matrices and linear algebra that is suitable for students with a variety of backgrounds. It covers a wide range of topics, including vector spaces, matrices, and linear transformations, and it includes many helpful examples and exercises.
Save
Step-by-step introduction to linear algebra that is suitable for students with no prior knowledge of the subject. It covers the basics of vector spaces, matrices, and linear transformations, and it includes many helpful examples and exercises.
Classic textbook on linear algebra that is suitable for students with a strong mathematical background. It covers a wide range of topics, including vector spaces, matrices, and linear transformations, and it includes many challenging exercises.
Save
Gentle introduction to linear algebra that is suitable for students with a variety of backgrounds. It covers the basics of vector spaces, matrices, and linear transformations, and it includes many helpful examples and exercises.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/cck7eb/linear
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