Catch Up in Mathematics: Study Plan & Book Recommendations

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SUMMARY

The discussion focuses on creating a study plan for catching up on undergraduate mathematics and physics. The participant has previously completed four semesters of undergraduate physics and seeks to revise key mathematical concepts such as Analysis, Linear Algebra, Ordinary Differential Equations (ODE), and Complex Analysis. Recommended resources include Friedberg's "Linear Algebra," Ross's "Differential Equations," Zill's "Differential Equations with Boundary Value Problems," and works by Richard Feynman and David Griffiths for physics. The goal is to effectively utilize the summer to solidify understanding in these subjects.

PREREQUISITES
  • Understanding of undergraduate-level physics concepts
  • Familiarity with mathematical topics such as Analysis and Linear Algebra
  • Basic knowledge of Differential Equations
  • Ability to engage with complex texts in mathematics and physics
NEXT STEPS
  • Study Friedberg's "Linear Algebra" for foundational concepts
  • Explore Ross's "Differential Equations" for a comprehensive understanding of ODEs
  • Review Zill's "Differential Equations with Boundary Value Problems" for advanced techniques
  • Read Feynman's lectures and Griffiths' texts for insights into physics applications
USEFUL FOR

This discussion is beneficial for students and self-learners aiming to strengthen their understanding of undergraduate mathematics and physics, particularly those who have previously struggled with these subjects and are looking for structured study resources.

ZeroIQ
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Hello everyone,
I took some physics course but i never could be that serious because I had some difficulties first and it kinda get snowballing then I failed/stopped. So, i want to catch-up/(revise??) undergraduate mathematics (physics). So, i have a summer to do that i think, i can catch-up Mathematics (Analysis, Linear Algebra, ODE, Complex Analysis,...) and try to look (If I had time ) at Physics (Mechanics, QM, Electrodynamics, ...). I want a study plan (books recommendation for that).
That's the books i think i'll need at least according to some research on the forum:
Friedberg: Linear Algebra
Ross: Differential Equations
Zill's : Differential Equations with Boundary Problems
And some Feynman/Griffith books ?
Hope you can help me :)
 
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can you be more descriptive than just:
ZeroIQ said:
I took some physics course...
What mathematics classes have you completed? You mention some advanced math that you want to catch up on.
 
4 semesters of Undergraduate Physics, we had Analysis, Linear Algebra, ODE, Integrals, Series and Complex Analysis.
 

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