Is Algebra-Based Physics Enough for Advanced Level Courses in Second Year?

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Discussion Overview

The discussion centers on whether an algebra-based physics background is sufficient for success in advanced-level physics courses in the second year of study. Participants explore the implications of having only taken algebra-based introductory physics compared to a calculus-based approach, particularly in relation to understanding derivations and problem-solving in subsequent courses.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses concern about their preparedness for second-year physics courses after only taking algebra-based physics, questioning if they should redo the first year with a calculus-based curriculum.
  • Another participant mentions that many universities require a calculus-based introductory course as a prerequisite for upper-level courses, implying that this may be a common standard.
  • Some participants argue that calculus-based physics is crucial for understanding tougher problems and derivations that are not covered in algebra-based courses.
  • There is a suggestion that while some derivations may be repeated in second-year courses, they might be more challenging to grasp without the foundational knowledge from first-year calculus-based physics.
  • One participant shares their experience of taking both algebra and calculus-based physics, noting that they found the difficulty levels to be similar but highlighting the difference in learning approaches.
  • Another participant reflects on their experience with calculus in physics, suggesting that understanding the concepts of calculus, such as rates of change, is essential for succeeding in upper-level classes.
  • A later reply discusses the importance of consulting academic advisors or instructors to assess individual preparedness for advanced courses based on their background.

Areas of Agreement / Disagreement

Participants generally agree that a calculus-based physics background is important for success in advanced courses, but there is no consensus on whether the algebra-based background will be sufficient or if the necessary derivations will be adequately covered in second-year courses.

Contextual Notes

Participants note that course requirements and content may vary significantly between universities, which could affect the applicability of their experiences and advice.

Howers
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Hi, if anyone remembers I was the guy considering re-doing first year due to only a primitive knowledge of calc and physics thanks to easy level courses in first year. Anyway, because I won't be able to make changes to my schedule soon I really want to make sure I'm on the right track.

I was looking at the "non-introductory" texts while at school for first year physics and they all seemed to employ a lot of calculus. In my introductory physics course, using Cutnell's physics, we never ever touched calculus. There were very few derivations, and all were algebra based. However, more or less, all the material covered was the same but us going into a little less detail.

I've taken calculus and everything minus the proofs. I just need to know, will only algebra based physics in first year really kill me in second year physics (all advanced level)? Or should I just re-do the first year this time the calc-based level. Also, I feel I missed out on a lot of the derivations in general mechanics and stuff, and need to know if will they be repeated in upper courses such as advanced mechanics. I want a complete knowledge of something as fundamental as mechanics, and that would really suck if from here on its assumed I know.

Thanks for your time.
 
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Does your school even allow students who have had only the algebra-based intro course to start taking intermediate/upper level courses? At most schools (in the USA at least), the calculus-based intro course is prerequisite for higher-level courses.
 
Not unless you score really high. I got 92% so I'm allowed. I take it calc-based is that important?
 
yes calc-based physics is very important. Try to take at least mechanics and E&M that are calc-based before taking upper-div physics courses. These classes are important as they will cover tougher problems, test how well you know your calculus, show you how to actually derive a lot of the equations you had to memorize in algebra-based physics, and expose you to more labwork
 
proton said:
yes calc-based physics is very important. Try to take at least mechanics and E&M that are calc-based before taking upper-div physics courses. These classes are important as they will cover tougher problems, test how well you know your calculus, show you how to actually derive a lot of the equations you had to memorize in algebra-based physics, and expose you to more labwork

I only missed out on first year. By upper-div do you mean second-year? Because I'm currently enrolled in thermo, e&m, and waves which are all year two. Advanced mechanics comes in 3rd year. So I'm wondering if I should redo the whole year-one physics which has calc, or will these derivations be repeated in second year courses?

Im not stupid, I know calc is heavily used in physics. I have a good background in calc, I just haven't applied any of it to physics yet. What I'm getting at is I missed out the first year calc survey course. So I'm doing 2nd year physics w/ only strong algebra roots. I am hoping that derivations will be repeated in their proper context. If however they only show up in first year, I would have to take the first year course at the appropriate level.

Please advise.
 
Do you have one of the physics professors assigned to you as an academic advisor yet? Courses do vary from one university to another, so you really should talk to someone who is familiar with the setup at your university. Where I teach, when a student officially declares a major, he arranges for someone in that department to be his academic advisor from that point on. If you haven't done that yet, or if that's not the system at your university, you should at least talk to the instructors in the courses that you're thinking of taking, and ask them if they think your background might cause problems.
 
Howers said:
I only missed out on first year. By upper-div do you mean second-year? Because I'm currently enrolled in thermo, e&m, and waves which are all year two. Advanced mechanics comes in 3rd year. So I'm wondering if I should redo the whole year-one physics which has calc, or will these derivations be repeated in second year courses?

Im not stupid, I know calc is heavily used in physics. I have a good background in calc, I just haven't applied any of it to physics yet. What I'm getting at is I missed out the first year calc survey course. So I'm doing 2nd year physics w/ only strong algebra roots. I am hoping that derivations will be repeated in their proper context. If however they only show up in first year, I would have to take the first year course at the appropriate level.

Please advise.

upper-div physics comes after the basic calc-based physics. It is usually taken late-2nd year/early 3rd-year. Yes, I would redo the year-one physics which has calc since the physics courses afterwards will assume that you have knowledge of them. Derivations will probably be repeated, but they will be difficult to understand if you didnt learn them in 1st year physics

Hope my advice helps
 
I took HL physics for my IB diploma and passed with 6/7 and I have NEVER done a single calculus problem even in math class.
 
I've borrwed a copy of Halliday's physics and this calc stuff is not so bad. I mean, in a sense all it really is a formula rewritten in integral form.

So instead of saying W = Fxcosr they go W=∫Fdx

The kinematic derivations are kind of funny too. And the rest of the text is filled with linear algebra basics. The dot product commutes...

Seriously, if this is all I'm missing chances are I'll move on lol.
 
  • #10
Due to freshman year confusion I took both algebra and calculus based physics. They were nearly the same difficulty. Instead of learning general integral based formulas, you learn many algebraic formulas for specific cases.
 
  • #11
know why the notion of calculus used in physics, i.e rate of change and summing area under the curve then you might be able to understand upper-lv classes.
 
  • #12
leon1127 said:
know why the notion of calculus used in physics, i.e rate of change and summing area under the curve then you might be able to understand upper-lv classes.

this is something u learn in high school math...
 

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