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Old Jul 2nd 2009, 06:08 PM   #1
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Recommend me Math Cources for Physics Major

My Univ requires at least:

Calc I
Calc II
Calc III
and Intro to Differential Equations (which is ODE)


I was recommended to take Applied Linear Algebra but I took Linear Algebra as it counts for my Math major too. My univ also offers Linear Algebra II however, I don't want to take it unless there is really a good reason to do so.

They also offers Applied Differential Equations, which is mainly covers Numerical Methods, Introduction to PDE, and Green's function from what I can gather. I'm thinking of taking this class, regardless of whether it will help with Physics or not but I ought to know, does it?

Another class that i'm looking into is Advanced Calculus I. I really liked Calc I, Calc II, and Intro to DFQ too (not much into Calc III, cough triple integrals in polar coordinates) so i guess this one will be fun but on the downside they don't offer Advanced Calculus II if i wish to continue on. Nevertheless, I'm curious if anyone has taken it and how can it help with Physics?

Other class that I hear folks talk about it Real Analysis and Complex Analysis. Unlike Advanced Calculus, they offer part I and II for this course but I have very little idea of this course so i could use some help here with someone who has taken this course in particular. I don't want to walk into the class thinking i'll like it and get out hating it...i don't want to waste semester on this course if this isn't going to help. On contrary, if it will, i'm down with talking both Real and Complex, part I and part II.

If you recommend any other courses, post them too please.

Thanks in advance!

-rubrix.

Last edited by rubrix; Jul 2nd 2009 at 06:11 PM.
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Old Jul 5th 2009, 11:35 AM   #2
Pmb
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Originally Posted by rubrix View Post
My Univ requires at least:

Calc I
Calc II
Calc III
and Intro to Differential Equations (which is ODE)


I was recommended to take Applied Linear Algebra but I took Linear Algebra as it counts for my Math major too. My univ also offers Linear Algebra II however, I don't want to take it unless there is really a good reason to do so.
Linear algebra is extremely important in physics. In fact you'll be in trouble when you take the more advanced quantum mechanics courses if you don't learn it. If you want to study relativity you'll need it since the more advanced math in special and general relativity uses tensor analysis which relies on concepts from linear algebra.
Originally Posted by rubrix View Post
They also offers Applied Differential Equations, which is mainly covers Numerical Methods, Introduction to PDE, and Green's function from what I can gather. I'm thinking of taking this class, regardless of whether it will help with Physics or not but I ought to know, does it?
That is a great class for you. You'll be using lots of those methods when you study electrodynamics.
Originally Posted by rubrix View Post
Another class that i'm looking into is Advanced Calculus I. I really liked Calc I, Calc II, and Intro to DFQ too (not much into Calc III, cough triple integrals in polar coordinates) so i guess this one will be fun but on the downside they don't offer Advanced Calculus II if i wish to continue on. Nevertheless, I'm curious if anyone has taken it and how can it help with Physics?
I've taken the equivalent of it, yes. It was very helpful to me in graduate school.
Originally Posted by rubrix View Post
Other class that I hear folks talk about it Real Analysis and Complex Analysis. Unlike Advanced Calculus, they offer part I and II for this course but I have very little idea of this course so i could use some help here with someone who has taken this course in particular. I don't want to walk into the class thinking i'll like it and get out hating it...i don't want to waste semester on this course if this isn't going to help. On contrary, if it will, i'm down with talking both Real and Complex, part I and part II.
Real analysis is sort of like the roots of calculus. You really get to dig your heals into it. Complex analysis will help you in quantum theory and in more advanced methods of integration, e.g. the residue theorem. I recommened looking that term up.
Originally Posted by rubrix View Post
If you recommend any other courses, post them too please.
I took numerical methods and transform methods for linear systems.
Here's a fact - If you're going to be a physicists then there's no such thing as too much math.

If I were you and they taught such a course where I went then I'd study tensor analysis/differentital geometry. See if you can take a directed study in that course. You'll use if if you want to learn general relativity.

Last edited by Pmb; Jul 5th 2009 at 11:38 AM.
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Old Jul 11th 2009, 07:42 PM   #3
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Thanks for the detailed info, wish i could click 'Thanks' button 20 times.
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Old Aug 5th 2009, 07:49 PM   #4
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I'd suggest a more advanced course (beyond introductory) for differentail equations. I highly recommend Complex Analysis and Topology. Both have very useful applications with physics.
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