Is Self-Teaching Linear Algebra Feasible for a Motivated Student?

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SUMMARY

Self-teaching linear algebra is feasible for motivated students with a solid mathematical background, such as completion of calculus III. Key resources include the standard textbook "Linear Algebra" by Gilbert Strang and supplementary materials like Schaum's Outlines for practice. The discussion emphasizes the importance of discipline and motivation in mastering the subject independently. Students should consider their learning preferences when selecting additional resources, such as more theoretical texts.

PREREQUISITES
  • Completion of Calculus III
  • Understanding of elementary row operations
  • Familiarity with Gaussian elimination
  • Knowledge of least squares methods
NEXT STEPS
  • Study "Linear Algebra" by Gilbert Strang
  • Explore Schaum's Outline for Linear Algebra exercises
  • Investigate "Linear Algebra Done Right" by Sheldon Axler for a theoretical approach
  • Practice problems from various online linear algebra resources
USEFUL FOR

Students seeking to learn linear algebra independently, educators looking for teaching resources, and anyone interested in enhancing their mathematical skills through self-study.

Abraham
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I've taken maths up to calc III, and want to learn linear algebra over the summer.
My school won't let me take more than 21 credits, which is what i'll be having for the next few semesters.

I'm familiar with elementary row ops, gaussian elimination, least squares, but not much else. Is learning linear algebra doable? Or should I wait till I get an opening for the class at school?

Thanks
 
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I think linear algebra is well suited to learning on your own, if you're motivated and disciplined. A good standard introductory textbook used in many undergraduate courses is

https://www.amazon.com/dp/0130084514/?tag=pfamazon01-20

and depending on your interests, you may want to complement this with a Schaum's outline or some other source of exercises with solutions.

If you are interested in a more theoretically-oriented, "pure math" introduction, this is a great choice:

https://www.amazon.com/dp/0387982582/?tag=pfamazon01-20
 
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