Comparing Physics & Math in First Two Year Courses

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Discussion Overview

The discussion revolves around the comparison of first two-year physics courses and first two-year math courses, particularly from the perspective of students transitioning to upper division physics classes. Participants explore the nature of the material, the balance between mathematical rigor and conceptual understanding, and the retention of knowledge from earlier courses.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that upper division physics courses require a better grasp of mathematics and emphasize physical intuition, suggesting a shift from purely mathematical focus to understanding physical concepts.
  • Another participant inquires about the extent to which knowledge from freshman and sophomore physics courses is retained or needs to be relearned in upper division classes.
  • A different viewpoint emphasizes that foundational knowledge, such as problem-solving strategies from earlier courses, is crucial for tackling more complex upper division problems, although not all details need to be remembered.
  • Some participants express that having access to old notes and textbooks is beneficial for referencing past material when faced with new challenges.

Areas of Agreement / Disagreement

Participants generally agree that foundational knowledge is important for success in upper division courses, but there is no consensus on how much of that knowledge needs to be retained or how similar the upper division courses are to earlier ones. Multiple views on the balance between math and concepts remain present.

Contextual Notes

Participants express varying degrees of anxiety regarding retention of earlier material and the transition to upper division courses, indicating that individual experiences may differ significantly based on personal study habits and understanding.

Who May Find This Useful

Students transitioning from lower division to upper division physics courses, as well as those considering the relationship between physics and mathematics in their studies.

TDRR
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Edit: I meant "first two year physics courses vs first two year math courses" in the title.

I know each school is different as far as how professors teach, but for those of you who are in your 3rd/4th year and beyond as a Physics major, how would you compare the material?

I'm not asking if Upper Division courses are more difficult, but do they resemble something more similar to Freshman E&M where it seemed like there was more math (Vector Calculus) than concepts, or more like Mechanics where it was a tad the opposite? Maybe something like the third course in Physics (Waves-Thermodynamics-Relativity-QM) where it was "balanced?"

Would you say you had to remember quite a lot of the concepts and peoblwm solving strategies you learned in your first 3 Physics courses? I'm starting to feel a little anxious and would greatly appreciate any advice.
 
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I just started my upper division physics classes last quarter and to be honest its pretty similar. Obviously however, you're required to have a better grasp of the math at these levels and be able to apply it in physical situation. I think (and this is all opinion so take it as you will) that mostly you're going to notice a larger emphasis on physical intuition and whether or not things make "physical sense". But it's do-able and much more interesting than lower division stuff if you ask me.
 


Thank you mateomy! One last question, how much did you have to remember from your original Greshman/Sophmore Physics courses or was it like relearning everything in a new way all over again?
 


Well, it all builds on itself. If you can't -for instance- remember how to solve simple problems using Gauss' Law in E&M the upper division problems will seem a lot more complicated and confusing. But if you don't remember everything that's not a big deal so long as you have old notes and problems to reference. I'd doubt most people, save for the rare few, could remember EVERYTHING from their old classes. Just save your books and notes. They almost always prove valuable.
 

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