I'm in community college at the moment taking math courses

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SUMMARY

The discussion centers on the mathematics courses available at community college for a Physics major, specifically focusing on the progression from Calculus I through Differential Equations. The user expresses curiosity about advanced mathematics topics beyond Calculus III, such as Vector Analysis, Partial Differential Equations (PDEs), Complex Analysis, and Abstract Algebra, which are often pursued by Physics majors. The conversation highlights the importance of advanced mathematics in fields like general relativity and string theory, emphasizing that a solid foundation in mathematics is crucial for success in Physics.

PREREQUISITES
  • Understanding of Calculus I-III
  • Familiarity with Differential Equations
  • Knowledge of Linear Algebra
  • Basic concepts of Abstract Algebra
NEXT STEPS
  • Research Vector Analysis techniques
  • Explore Partial Differential Equations (PDEs) applications
  • Study Complex Analysis fundamentals
  • Investigate Differential Geometry, particularly Riemannian geometry
USEFUL FOR

Students pursuing degrees in Physics, Mathematics, or Engineering, as well as anyone interested in advanced mathematical concepts applicable to theoretical physics.

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I'm in community college at the moment. I'm sure a few of you have witnessed me make a fool of my self goofing-off on the forums not so long ago. But, I'm curious as to what comes... next?

As far as math is concerned, that is.

After looking through the booklet with the course selections and looking through the classes on-line I became a bit... not sure how to put it but, interested? maybe?

Starting at the freshmen (100) level courses:
Precalculus
Calculus and analytical Geometry I
Calculus and analytical Geometry II

Sophomore (200) level courses:
Introduction to Discrete mathematics
Liner Algebra
Calculus and analytical Geometry III
and, Differential Equations
I sifted through a few websites belonging to four-year colleges and universities and still didnt see anything going over calculus 3. But, I've heard stories of it going up to and past XII.

Can anyone throw me some information on this? or is that it? The CC in which I am attending, my major is Physics. They don't offer Astronomy or Astrophysics. Just a 200 level course, "Intro. To Stellar and Galactic Astronomy." When I transfer out to a four-year school. I'll be majoring in Astronomy or Astrophysics, depending on the programs offered and the schools I can get into. Yeah, I messed up in high school.

After Calc III do I only see what was learned in those classes and apply it to physics or is there more madness ahead?
 
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I've never heard of calculus past Calc IV, and even that is non-standard.

My father is an engineer and he took those classes plus Partial Differential Equations and and some "advanced math for engineers" business.
 


For engineering disciplines almost all programs stop at differential equations mathwise.

For physics i know you continue, but it depends on where you are. It may not be obvious. I know at penn state phys 497 is the same exact course as math 497 but different majors put it on there transcript differently.
 


Most Physics majors I knew also took Vector Analysis, PDEs, Complex Analysis, Real Analysis, some even took Abstract Algebra. There is plenty of math to learn :smile:
 


mattmns said:
Most Physics majors I knew also took Vector Analysis, PDEs, Complex Analysis, Real Analysis, some even took Abstract Algebra. There is plenty of math to learn :smile:

i hope so, because i want to learn a lot.
 


As I'm learning at the minute there's also the calculus of functionals (take a curve between two points and map it to a single number e.g. by integration... ) which underpins Lagrangian and Hamiltonian mechanics. If you want to study general relativity there's differential geometry at its heart (specifically Riemannian geometry); particle theory rests heavily on group theory; and if you want to do string theory (chuckles) then solitons (non-dispersive solutions to non-linear differential equations), topology, elliptic functions (advanced calculus of comple variables) all come in handy (or so I'm given to understand! :wink:).
So essentially, you should really do an undergraduate degree in maths before attempting one in physics :biggrin:
 


At my school the only required maths for Physics are Calculus I-III, Linear Algebra & Matrix Theory, and Differential Equations I-II.
 

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