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

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SUMMARY

This discussion focuses on recommended resources for self-studying linear algebra, particularly for students preparing for courses like Calculus IV, which involves ordinary differential equations (ODEs). Key texts mentioned include Gilbert Strang's "Introduction to Linear Algebra" and "Linear Algebra Done Right" by Sheldon Axler, both of which provide solid foundations in matrix algebra and theoretical concepts. Additionally, D. H. Griffel's "Linear Algebra and its Applications" is noted for its practical applications. Online resources such as Khan Academy and MIT's OpenCourseWare are also highlighted as valuable tools for supplemental learning.

PREREQUISITES
  • Basic understanding of calculus, particularly Calculus III.
  • Familiarity with ordinary differential equations (ODEs).
  • Knowledge of matrix algebra concepts.
  • Access to online educational platforms like Khan Academy.
NEXT STEPS
  • Study Gilbert Strang's "Introduction to Linear Algebra" for foundational matrix concepts.
  • Read "Linear Algebra Done Right" by Sheldon Axler for theoretical insights.
  • Explore D. H. Griffel's "Linear Algebra and its Applications" for practical applications.
  • Utilize Khan Academy's linear algebra section for video tutorials and practice problems.
USEFUL FOR

Students in high school or college preparing for advanced mathematics courses, particularly those interested in linear algebra and its applications in differential equations.

flyingpig
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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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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...
 
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.
 
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.
 
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/
 
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.
 
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