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Chris Pryby
Take Udacity's free linear algebra course online and learn linear algebra by doing. Code your own library of linear algebra functions and use it to solve real-world problems.
Register for this course and see more details by visiting:
OpenCourser.com/course/crfiez/udacity
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What's inside
Syllabus
Welcome to the Linear Algebra Refresher! In this course, you'll learn both the theory of linear algebra and how to implement the calculations yourself.
Read more
Syllabus
Welcome to the Linear Algebra Refresher! In this course, you'll learn both the theory of linear algebra and how to implement the calculations yourself.
Read more
Traffic lights
Traffic lights
Read about what's good
what should give you pause and
possible dealbreakers
Teaches core math concepts that underlie widely-used Kalman Filters, which is especially beneficial in landing modern aircraft
Promotes active and engaging learning by having learners code their own linear algebra functions, which is a significant advantage over passively consuming knowledge
Provides a hands-on approach to the learning of linear algebra, which offers a unique and engaging way to improve knowledge retention and comprehension
Taught by experienced instructor Chris Pryby, who has worked as a senior software engineer for companies in high-tech industries
Emphasizes the practical application of linear algebra, which ensures that learners can apply this knowledge in the real world
Provides clear direction by outlining specific goals for learning outcomes
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Create your own learning path.
Save this course to your list so you can find it easily later.
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Reviews summary
Practical linear algebra refresher with coding
According to learners, this course serves as an excellent refresher for those with prior exposure to linear algebra. Students particularly appreciate the focus on practical application, noting that coding the concepts helps solidify understanding. The course is often described as having a clear structure and good explanations. However, some reviewers found the pace challenging, especially if their linear algebra background was weak or very rusty. The coding assignments can be difficult and may require some existing programming familiarity. While great for review, some felt the coverage wasn't deep enough for more advanced topics.
Concepts explained clearly.
"The instructor explained complex ideas very clearly."
"Lectures are concise and easy to follow."
"I appreciated the straightforward way topics were introduced."
"Explained core concepts without getting lost in excessive detail."
Focus on coding practical applications.
"Coding the algorithms yourself really makes the concepts stick."
"I loved implementing the functions in Python; it gave me a deeper understanding."
"The practical coding exercises are the strongest part of the course."
"It's not just theory; you build something useful."
Great for reviewing core concepts.
"This course was an excellent way to refresh my knowledge of linear algebra fundamentals."
"Perfect for brushing up on the basics before diving into machine learning."
"If you've seen LA before and need a quick review, this is ideal."
"It really helped consolidate concepts I learned years ago."
Need some math/coding background.
"Assumes a certain level of comfort with mathematical notation and proofs."
"You need basic programming skills to handle the assignments."
"Not suitable if you have zero background in linear algebra."
"A good high school math background is a must."
Pacing can be fast for beginners.
"Moves quite quickly; definitely not for someone new to the subject."
"The assignments were harder than expected and required significant time."
"Found it challenging to keep up without constantly reviewing external resources."
"Needed a solid math background to follow easily."
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 Refresher Course with these
activities:
Review notes and materials from previous math courses
Show steps
Strengthen your foundational knowledge of mathematics to prepare for this course.
Browse courses on
Linear Algebra
Show steps
-
Gather your notes and materials from previous math courses, such as calculus and matrix theory.
-
Review the key concepts and formulas related to linear algebra.
-
Solve practice problems to refresh your understanding.
-
Consult online resources or textbooks for additional support.
Practice basic linear algebra operations
Show steps
Refresh your understanding of basic linear algebra operations to strengthen your foundation for the course.
Browse courses on
Matrix Multiplication
Show steps
-
Review the concepts of vectors and matrices.
-
Practice performing vector addition and subtraction.
-
Review the concept of matrix multiplication.
-
Practice performing matrix multiplication.
Read 'Linear Algebra and Its Applications' by Gilbert Strang
Show steps
Gain a deeper understanding of linear algebra by reading a classic textbook.
View
Linear Algebra for Everyone
on Amazon
Show steps
-
Obtain a copy of 'Linear Algebra and Its Applications' by Gilbert Strang.
-
Read through the chapters relevant to the course material.
-
Take notes, highlight important concepts, and solve practice problems.
-
Discuss your understanding with classmates or online forums.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Follow online tutorials on linear algebra
Show steps
Expand your knowledge of linear algebra by following guided tutorials.
Browse courses on
Linear Algebra
Show steps
-
Find reputable online tutorials on linear algebra.
-
Choose tutorials that cover topics relevant to your interests or learning goals.
-
Follow the tutorials step-by-step and complete any exercises or assignments.
-
Take notes or create summaries to reinforce your understanding.
Solve linear algebra problems
Show steps
Deepen your understanding of linear algebra by practicing solving various types of problems.
Show steps
-
Find online resources or textbooks with linear algebra problems.
-
Choose problems of varying difficulty levels.
-
Solve the problems step-by-step.
-
Check your solutions using online tools or solution manuals.
Join a study group for linear algebra
Show steps
Enhance your learning experience by collaborating with peers in a study group.
Browse courses on
Linear Algebra
Show steps
-
Find or create a study group with classmates or online.
-
Set regular meeting times and establish a study schedule.
-
Discuss course material, solve problems together, and share resources.
-
Provide support and encouragement to each other.
Explain a linear algebra concept
Show steps
Solidify your understanding of a linear algebra concept by explaining it to someone else.
Browse courses on
Linear Transformations
Show steps
-
Choose a linear algebra concept that you want to explain.
-
Write a clear and concise explanation of the concept.
-
Create a visual or interactive representation to illustrate the concept.
-
Share your explanation with a friend, family member, or online community.
Build a linear algebra library
Show steps
Deepen your understanding of linear algebra by implementing your own library of functions.
Browse courses on
Linear Algebra
Show steps
-
Design the interface and functionality of your linear algebra library.
-
Implement the core functions of your library, such as vector and matrix operations.
-
Write unit tests to ensure the correctness of your library.
-
Document your library with clear and concise documentation.
Review notes and materials from previous math courses
Show steps
Strengthen your foundational knowledge of mathematics to prepare for this course.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Gather your notes and materials from previous math courses, such as calculus and matrix theory.
- Review the key concepts and formulas related to linear algebra.
- Solve practice problems to refresh your understanding.
- Consult online resources or textbooks for additional support.
Practice basic linear algebra operations
Show steps
Refresh your understanding of basic linear algebra operations to strengthen your foundation for the course.
Browse courses on
Matrix Multiplication
Show steps
Show steps
Show steps
- Review the concepts of vectors and matrices.
- Practice performing vector addition and subtraction.
- Review the concept of matrix multiplication.
- Practice performing matrix multiplication.
Read 'Linear Algebra and Its Applications' by Gilbert Strang
Show steps
Gain a deeper understanding of linear algebra by reading a classic textbook.
View
Linear Algebra for Everyone
on Amazon
Show steps
Show steps
Show steps
- Obtain a copy of 'Linear Algebra and Its Applications' by Gilbert Strang.
- Read through the chapters relevant to the course material.
- Take notes, highlight important concepts, and solve practice problems.
- Discuss your understanding with classmates or online forums.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Follow online tutorials on linear algebra
Show steps
Expand your knowledge of linear algebra by following guided tutorials.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Find reputable online tutorials on linear algebra.
- Choose tutorials that cover topics relevant to your interests or learning goals.
- Follow the tutorials step-by-step and complete any exercises or assignments.
- Take notes or create summaries to reinforce your understanding.
Solve linear algebra problems
Show steps
Deepen your understanding of linear algebra by practicing solving various types of problems.
Show steps
Show steps
Show steps
- Find online resources or textbooks with linear algebra problems.
- Choose problems of varying difficulty levels.
- Solve the problems step-by-step.
- Check your solutions using online tools or solution manuals.
Join a study group for linear algebra
Show steps
Enhance your learning experience by collaborating with peers in a study group.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Find or create a study group with classmates or online.
- Set regular meeting times and establish a study schedule.
- Discuss course material, solve problems together, and share resources.
- Provide support and encouragement to each other.
Explain a linear algebra concept
Show steps
Solidify your understanding of a linear algebra concept by explaining it to someone else.
Browse courses on
Linear Transformations
Show steps
Show steps
Show steps
- Choose a linear algebra concept that you want to explain.
- Write a clear and concise explanation of the concept.
- Create a visual or interactive representation to illustrate the concept.
- Share your explanation with a friend, family member, or online community.
Build a linear algebra library
Show steps
Deepen your understanding of linear algebra by implementing your own library of functions.
Browse courses on
Linear Algebra
Show steps
Show steps
Show steps
- Design the interface and functionality of your linear algebra library.
- Implement the core functions of your library, such as vector and matrix operations.
- Write unit tests to ensure the correctness of your library.
- Document your library with clear and concise documentation.
Career center
Learners who complete Linear Algebra Refresher Course will develop knowledge and skills
that may be useful to these careers:
Data Scientist
Data Scientist
A Data Scientist uses the principles of mathematics, statistics, and programming to interpret data, discover patterns, and create visualizations that lead to business decisions at their organizations. They advance their career with experience working on data-related projects and passing the certification exam. This course may be useful for a Data Scientist because it helps build a foundation for coding and implementing linear algebra functions that can be used in data science work, such as data cleaning, transformation, and analysis.
Statistician
Statistician
A Statistician collects, analyzes, interprets, and presents data. They use statistical methods to understand the world around them and solve problems. This course may be useful for a Statistician because it helps build a foundation for coding and implementing linear algebra functions in statistical environments, such as R or Python.
Machine Learning Engineer
Machine Learning Engineer
A Machine Learning Engineer designs, develops, and deploys machine learning models. They use their understanding of mathematics, statistics, and programming to create models that can learn from data and make predictions. This course may be useful for a Machine Learning Engineer because it helps build a foundation for coding and implementing linear algebra functions in machine learning frameworks, such as TensorFlow or PyTorch.
Software Engineer
Software Engineer
A Software Engineer designs, develops, and maintains software applications. They use their knowledge of programming languages and software development tools to create software that meets the needs of users. This course may be useful for a Software Engineer because it helps build a foundation for coding and implementing linear algebra functions in software applications.
Data Analyst
Data Analyst
A Data Analyst uses data to solve problems and make decisions. They use their skills in mathematics, statistics, and programming to clean, analyze, and visualize data. This course may be useful for a Data Analyst because it helps build a foundation for coding and implementing linear algebra functions in data analysis tools, such as Excel or Tableau.
Financial Analyst
Financial Analyst
A Financial Analyst uses financial data to make investment decisions. They use their knowledge of mathematics, statistics, and finance to analyze financial statements and make recommendations to clients. This course may be useful for a Financial Analyst because it helps build a foundation for coding and implementing linear algebra functions in financial analysis tools, such as Excel or Bloomberg.
Actuary
Actuary
An Actuary uses mathematics and statistics to assess risk and uncertainty. They use their knowledge to develop insurance products and pricing models. This course may be useful for an Actuary because it helps build a foundation for coding and implementing linear algebra functions in actuarial software, such as R or Python.
Quantitative Analyst
Quantitative Analyst
A Quantitative Analyst uses mathematics, statistics, and programming to analyze financial data and make investment decisions. They use their knowledge to develop trading strategies and risk management models. This course may be useful for a Quantitative Analyst because it helps build a foundation for coding and implementing linear algebra functions in quantitative finance software, such as MATLAB or Python.
Operations Research Analyst
Operations Research Analyst
An Operations Research Analyst uses mathematics, statistics, and programming to solve business problems. They use their knowledge to develop optimization models and simulation models. This course may be useful for an Operations Research Analyst because it helps build a foundation for coding and implementing linear algebra functions in operations research software, such as MATLAB or Python.
Risk Analyst
Risk Analyst
A Risk Analyst uses mathematics, statistics, and programming to assess risk and uncertainty. They use their knowledge to develop risk management models and make recommendations to clients. This course may be useful for a Risk Analyst because it helps build a foundation for coding and implementing linear algebra functions in risk analysis software, such as R or Python.
Business Analyst
Business Analyst
A Business Analyst uses data and analysis to solve business problems. They use their skills in mathematics, statistics, and programming to analyze data and make recommendations to stakeholders. This course may be useful for a Business Analyst because it helps build a foundation for coding and implementing linear algebra functions in business analysis software, such as Excel or Tableau.
Management Consultant
Management Consultant
A Management Consultant uses their knowledge of business and management to help organizations improve their performance. They use their skills in analysis, problem-solving, and communication to develop recommendations for clients. This course may be useful for a Management Consultant because it helps build a foundation for coding and implementing linear algebra functions in consulting software, such as Excel or PowerPoint.
Systems Analyst
Systems Analyst
A Systems Analyst uses their knowledge of business and technology to design and implement computer systems. They use their skills in analysis, problem-solving, and communication to develop solutions for clients. This course may be useful for a Systems Analyst because it helps build a foundation for coding and implementing linear algebra functions in systems analysis software, such as ERwin or Visio.
Computer Scientist
Computer Scientist
A Computer Scientist uses their knowledge of computer science to design and implement computer systems. They use their skills in mathematics, statistics, and programming to develop new algorithms and software. This course may be useful for a Computer Scientist because it helps build a foundation for coding and implementing linear algebra functions in computer science research and development software, such as MATLAB or Python.
Mathematician
Mathematician
A Mathematician uses their knowledge of mathematics to solve problems and make discoveries. They use their skills in analysis, problem-solving, and communication to develop new mathematical theories and applications. This course may be useful for a Mathematician because it helps build a foundation for coding and implementing linear algebra functions in mathematical research and development software, such as MATLAB or Mathematica.
For more career information including salaries, visit:
OpenCourser.com/course/crfiez/udacity
Reading list
We've selected eight 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 Refresher Course.
This classic textbook on linear algebra that provides a comprehensive introduction to the subject. It is well-written and provides plenty of examples and exercises.
This more advanced textbook on linear algebra that provides a rigorous treatment of the subject. It is not as accessible as Strang's book, but it is more comprehensive.
Save
This concise and well-written introduction to linear algebra. It good choice for students who want a quick and easy overview of the subject.
This textbook on linear algebra that is written for students in the social sciences. It provides a good overview of the subject and includes many examples and applications.
Save
This textbook on linear algebra that is written for students in the physical sciences. It provides a good overview of the subject and includes many examples and applications.
Save
This textbook on linear algebra that is written for students in economics. It provides a good overview of the subject and includes many examples and applications.
This textbook on linear algebra that is written for students in engineering and science. It provides a good overview of the subject and includes many examples and applications.
This textbook on linear algebra that is written for students in mathematics. It provides a good overview of the subject and includes many examples and applications.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/crfiez/udacity
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