An easy textbook means I feel unprepared

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Discussion Overview

The discussion revolves around the feelings of inadequacy and preparedness experienced by a student transitioning from lower division to upper division physics courses. The focus includes concerns about the mathematical rigor of the introductory textbook used and seeks recommendations for supplementary materials to better prepare for advanced studies.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses feelings of being unprepared due to the perceived oversimplification of mathematics in their introductory physics textbook.
  • Another participant recommends Boas' Mathematical Methods in the Physical Sciences as a solid resource, while also suggesting Riley, Hobson & Bence for a less dry approach.
  • A third participant argues that feeling unprepared is not necessarily linked to the mathematics, emphasizing that the purpose of introductory physics is to learn physics concepts and problem-solving skills.
  • A participant notes that the textbook used is common for calculus-based introductory physics and reflects on their own successful experience with it decades ago.

Areas of Agreement / Disagreement

Participants express differing views on the adequacy of the introductory textbook and the importance of mathematical preparation. While some suggest that the textbook is typical and sufficient, others feel it lacks the necessary rigor for upper division courses. The discussion remains unresolved regarding the best approach to prepare for advanced studies.

Contextual Notes

There are varying assumptions about the level of mathematical preparation required for upper division courses, and the discussion does not resolve the extent to which the introductory textbook may or may not prepare students adequately.

Who May Find This Useful

Students transitioning from lower division to upper division physics courses, particularly those concerned about their mathematical preparation and seeking additional resources.

ppfn
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I'm currently about to finish (next week!) my lower division physics classes and move on to the upper division courses while transferring from a junior college to UCLA. I feel utterly and completely unprepared for what lies ahead.

I feel like the textbook we used (Fundamentals of Physics, 9th Ed) grossly oversimplified the mathematics that should be used for these courses. Is this a normal feeling since I'm transferring in the Fall and I have no idea what to expect, or should I really be worried?

I'm going to work through Boas' Mathematical Methods in the Physical Sciences book over the Summer with my fellow physics majors, are there any other books you would recommend reading / working through before moving on to the upper division courses?

Thanks!
 
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Can't go far wrong with Boas. It's what I use, covers pretty much everything you'll need in an undergrad theory degree. I also use Riley, Hobson & Bence (Mathematical methods for physics and engineering). It's a bit less dry compared to Boas and is great for introducing yourself to topics although i'd say Boas is perhaps more detailed/rigourous.

If you're wanting to brush up a bit on the funamentals focus on topics like vector calculus, LA and PDEs. If you're going to be doing more advanced courses you might want to look at calculus of variations and a bit of complex analysis (contour integrals etc).
 
If you're unprepared, it is not because of the math as long as the course was calculus based. The point of an introductory physics sequence is not to learn advanced math - it's to learn the physics and problem solving.
 
Fundamentals of Physics (Halliday/Resnick/Walker) is a very common textbook for the calculus-based intro physics sequence, and is typical of the level used in those courses. I used it myself in freshman physics forty years ago (when it was just Halliday/Resnick), and I ended up with a Ph.D.
 
Thanks for the replies, everyone. You've helped to calm my transfer nerves. :-P
 

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