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

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Discussion Overview

The discussion revolves around recommended resources for self-studying linear algebra, particularly in the context of preparing for a college course that emphasizes its importance for succeeding in Calculus IV, which is assumed to involve ordinary differential equations (ODEs).

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant inquires about good books for linear algebra, expressing concern about the necessity of the subject for their upcoming course.
  • Another participant suggests that taking linear algebra directly might be beneficial, especially since Calculus IV likely involves systems of ODEs that require basic matrix algebra.
  • A participant recommends Gilbert Strang's "Introduction to Linear Algebra" as a solid text for understanding matrices, while also noting that some professors have reservations about it.
  • One participant, identifying as a high school student, explains their limitation of taking only one course per semester at college, which affects their ability to enroll in linear algebra.
  • A different participant praises "Linear Algebra Done Right" by Axler for its clear explanations and proofs, although they note it does not cover applications of linear algebra.
  • Another participant mentions using D. H. Griffel's "Linear Algebra and its Applications" and shares links to online resources, including Khan Academy and MIT's OpenCourseWare for additional learning materials.
  • One participant expresses interest in using Khan Academy for supplementary learning but indicates a need for more practice resources.

Areas of Agreement / Disagreement

Participants present a variety of resources and opinions on the best approaches to studying linear algebra, but no consensus is reached on a single recommended resource or method. The discussion reflects differing needs and experiences among participants.

Contextual Notes

Some participants express limitations based on their educational status, such as being a high school student, which may affect their course options. Additionally, there is an acknowledgment that some recommended texts may not cover applications of linear algebra.

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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