Should I take Vector Calculus before General University Physics?

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Discussion Overview

The discussion revolves around whether a student should take Vector Calculus before enrolling in General University Physics. Participants explore the relationship between mathematical preparation and understanding of physics concepts, particularly in the context of a community college curriculum and future transfer to a four-year institution.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses concern about needing Vector Calculus to grasp University Physics effectively, questioning whether to postpone Physics to ensure adequate mathematical preparation.
  • Another participant suggests that a typical calculus-based introductory physics course may not require extensive use of vector calculus, particularly in the first semester.
  • It is noted that basic calculus concepts, such as derivatives and integrals, are primarily sufficient for the first semester, with more advanced topics appearing in the second semester focused on electricity and magnetism.
  • Some participants mention that the calculus used in the physics course is relatively simple and can be learned quickly, with specific examples provided, such as deriving kinematic equations and performing error analysis.
  • There is a suggestion that delaying either Vector Calculus or Physics could lead to scheduling issues later in the academic program.
  • A participant recommends utilizing external resources, like MIT OpenCourseWare, for understanding vector calculus concepts relevant to classical mechanics.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of Vector Calculus prior to taking General University Physics. While some argue that it may not be essential, others emphasize the importance of mathematical preparation, indicating that the discussion remains unresolved.

Contextual Notes

Participants reference the specific structure of their courses and the potential for varying levels of calculus application across different physics topics, highlighting the need for individual assessment of readiness based on personal understanding and course requirements.

Astro_Will
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I'm currently in my first semester at a community college with intention of transferring to a 4 year. At some point while still at my current school I will have to take General University Physics. My curriculum is saying that I should take both Uni. Physics and Vector Calculus in my third semester but I'm worried I might need the math from Vector Calc to really grasp Uni. Phy. So should I instead put off taking Physics for a semester to make sure I can handle the math or will I be safe with just an understanding of Calculus with Analytical Geometry? Also it says I should take my second semester of Physics while taking Ordinary Differential Equations. Again I'm worried about the same thing. Should I postpone Physics or will I understand it fine without those previously taking those math classes?
 
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Could you give the book you use for university physics? Furthermore, could you list the topic you're going to learn?
 
Assuming it's a typical calculus-based intro physics course, the first semester will not use any vector calculus, and probably not even much single-variable calculus. Calculus is used mainly to simplify some derivations and concepts. All you need is a good conceptual understanding of derivatives and integrals, and the ability to do simple ones involving polynomials and maybe some trig functions.

In the second semester, which usually concentrates on electricity and magnetism, you will use some vector calculus stuff, mainly line and surface integrals for writing down Maxwell's equations in integral form. Here also, they're used mainly conceptually. Examples and exercises are set up so the integrals simplify so much that I call them "Geico integrals": so easy a caveman can do them.
 
jtbell said:
Examples and exercises are set up so the integrals simplify so much that I call them "Geico integrals": so easy a caveman can do them.

This is fantastic and I will be sure to shamelessly rip this off every time I can :)
 
jtbell said:
Examples and exercises are set up so the integrals simplify so much that I call them "Geico integrals": so easy a caveman can do them.

Haha this is absolutely brilliant. This made my day mate.
 
What I need is a cartoon of Ogg doing a Gauss's Law problem on a cave wall with a charcoal-tipped stick. :biggrin:
 
The only calculus my general physics course used was to;

a) derive the kinematic equations (extremely simple)
b) using partial derivatives to perform error analysis on labs (fairly simple)

Both which can be learned in less than an hour.

My professor taught us vector multiplication, but it was not necessary for solving the problems given to us.
 
There's another factor to consider: you're going to have to take Vector Calc sooner or later, and you're going to have to take Physics I sooner or later. Taking them out of the usual sequnence may cause you scheduling problems in later semesters.
 
jtbell said:
Here also, they're used mainly conceptually. Examples and exercises are set up so the integrals simplify so much that I call them "Geico integrals": so easy a caveman can do them.

:smile: (Sorry, I couldn't resist.)
 
  • #10
Astro_Will said:
I'm currently in my first semester at a community college with intention of transferring to a 4 year. At some point while still at my current school I will have to take General University Physics. My curriculum is saying that I should take both Uni. Physics and Vector Calculus in my third semester but I'm worried I might need the math from Vector Calc to really grasp Uni. Phy. So should I instead put off taking Physics for a semester to make sure I can handle the math or will I be safe with just an understanding of Calculus with Analytical Geometry? Also it says I should take my second semester of Physics while taking Ordinary Differential Equations. Again I'm worried about the same thing. Should I postpone Physics or will I understand it fine without those previously taking those math classes?

Download The MIT OpenCourseWare Physics 8.01 lectures by Walter Lewin. He gives a jam-up explanation of the vector calc concepts most pertinent to a student of first-semester classical mechanics. I can pretty much assure you that a community college physics course isn't going to include material not included in those lectures and the accompanying course materials.
 

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