What are some recommended resources for self-studying linear algebra?

In summary, the conversation revolves around the topic of whether or not to take Linear Algebra for Calculus IV. The person speaking highly recommends taking Linear Algebra for its applications in ODE's, but also mentions that some professors have concerns about the textbook used for the course. They suggest using Gilbert Strang's "Introduction to Linear Algebra" or D. H. Griffel's "Linear Algebra and its Applications" for learning the subject. They also mention using resources like Khan Academy and MIT's open course materials for additional practice and learning.
  • #1
flyingpig
2,579
1
any good books? Reason for this is because my college highly recommands Linear Algebra for Calc IV, I have Calc III already, but they highly recommend Linear Algebra, so I don't want to take the risk.
 
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  • #2
Why not just take linear algebra? Also, I'm assuming calc IV = ODE's? If this is true, most of your work will be with systems of ODE's so you'll need some basic matrix algebra. Strang's "Introduction to Linear Algebra" is not only a solid linear algebra text but really good if you want to become adept at working with matrices. Although, this is exactly why some professors have qualms with it...
 
  • #3
Newtime said:
Why not just take linear algebra? Also, I'm assuming calc IV = ODE's? If this is true, most of your work will be with systems of ODE's so you'll need some basic matrix algebra. Strang's "Introduction to Linear Algebra" is not only a solid linear algebra text but really good if you want to become adept at working with matrices. Although, this is exactly why some professors have qualms with it...

I can't, because I am a High school student and I am only allowed to take one course per semester at my college.
 
  • #4
I really like Linear Algebra Done Right by Axler for the basic theory of linear algebra. The explanations and proofs are extremely well-written. It's really a nearly perfect book for a relaxed first exposure to the theory of the subject (despite its preface which asserts it's for a second course).

But it won't cover any of the applications of the subject. I've picked up the applications mostly from taking courses like ODEs.
 
  • #5
I've been using D. H. Griffel: Linear Algebra and its Applications (Volumes 1 and 2). The Khan Academy has some great videos, including a linear algebra section:

http://www.khanacademy.org/

Videos and other materials from Gilbert Strang's linear algebra course at MIT are available here:

http://ocw.mit.edu/OcwWeb/Mathematics/18-06Spring-2005/CourseHome/index.htm

The second of these pages of short videos by Selwyn Hollis includes a section on linear algebra that covers some key concepts:

http://www.math.armstrong.edu/faculty/hollis/calcvideos/
http://www.math.armstrong.edu/faculty/hollis/DEvideos/
 
  • #6
Rasalhague said:
I've been using D. H. Griffel: Linear Algebra and its Applications (Volumes 1 and 2). The Khan Academy has some great videos, including a linear algebra section:

http://www.khanacademy.org/

Videos and other materials from Gilbert Strang's linear algebra course at MIT are available here:

http://ocw.mit.edu/OcwWeb/Mathematics/18-06Spring-2005/CourseHome/index.htm

The second of these pages of short videos by Selwyn Hollis includes a section on linear algebra that covers some key concepts:

http://www.math.armstrong.edu/faculty/hollis/calcvideos/
http://www.math.armstrong.edu/faculty/hollis/DEvideos/

yeah, I am looking into using Khanacademy too, but I still need practices.
 

1. What is Linear Algebra?

Linear Algebra is a branch of mathematics that deals with linear equations, matrices, and vector spaces. It is used to solve complex mathematical problems and is applied in many fields, including physics, engineering, and computer science.

2. Why is it important to self-study Linear Algebra?

Linear Algebra is a fundamental subject that forms the basis of many advanced mathematical concepts and applications. Self-studying Linear Algebra can help individuals deepen their understanding of mathematics, improve problem-solving skills, and prepare for more advanced courses in the future.

3. What are the prerequisites for self-studying Linear Algebra?

A basic understanding of algebra, geometry, and calculus is recommended before starting self-study in Linear Algebra. Familiarity with concepts such as matrices, vectors, and systems of linear equations will also be beneficial.

4. How can I effectively self-study Linear Algebra?

There are several ways to effectively self-study Linear Algebra. These include utilizing online resources such as video lectures and practice problems, working through textbooks and exercises, and seeking help from online forums or study groups. It is also important to regularly review and practice concepts to reinforce understanding.

5. What are some real-life applications of Linear Algebra?

Linear Algebra has numerous real-life applications, including data analysis, computer graphics, machine learning, and cryptography. It is also used in fields such as engineering, economics, and physics to model and solve complex systems and problems.

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