What to revise for Linear Algebra?

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SUMMARY

Before taking Linear Algebra, students should focus on revising matrices and basic algebra concepts rather than integration techniques from Calculus II. Linear Algebra courses typically do not require knowledge of calculus, as they emphasize understanding linear functions, bases, and proofs. Proficiency in high school algebra is crucial, as many students struggle with foundational concepts that are essential for success in Linear Algebra.

PREREQUISITES
  • Basic algebra concepts
  • Matrix operations and properties
  • Understanding of linear functions
  • Familiarity with proofs and mathematical reasoning
NEXT STEPS
  • Review matrix operations and their applications
  • Study linear functions and their properties
  • Practice basic algebra problems to ensure proficiency
  • Explore introductory proof techniques in mathematics
USEFUL FOR

Junior university students preparing for a Linear Algebra course, particularly those transitioning from high school mathematics and seeking to strengthen their foundational skills.

c-ray
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Hello! Please I am a Junior university student. I would like to ask you what i need to revise before taking the Linear Algebra course.

After completing the A-Levels in Mathematics according to the Edexel system, they transferred for me the credits for Calculus I and II Courses. The fact that, i didn't take any Calculus II in high school, or through my A-levels curriculum is not giving me a good feeling. They simply transferred for me things that i don't know.

My Question: I am going to take Linear Algebra this semester, what do you recommend i shall revise before the classes starts? Shall i go after some integration techniques from calculus II which i didn't take before? or shall I break some matrices exercises and some other concepts related to sets?

I will be waiting for your kind reply,

Thanks in advance for your help :D

My Best Regards,
C-Ray
 
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c-ray said:
Shall i go after some integration techniques from calculus II which i didn't take before? or shall I break some matrices exercises and some other concepts related to sets?

A review of matrices would be far better. Calculus is completely absent from introductory Linear Algebra.

Most colleges use Linear Algebra as their "Intro to Proofs" class. You learn what a basis is. You learn what a linear function is. You prove that a the linear function can be uniquely defined by its action on a basis. No integrals in sight.
 
I'm going to echo Tac-Tics on this. Going back through calculus won't help you a whole lot, except maybe a couple of concepts that are covered in vector/multivariable calculus. Those are really linear algebra concepts anyway, and you'll learn them more thoroughly in this class.

Also, having graded for a linear algebra course, I highly recommend that you make sure you're completely proficient in basic algebra concepts, too. It's surprising the number of people who make errors from material covered in 2nd year high school algebra!
 

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