
#1
Apr2710, 01:55 PM

P: 28

So I'm double majoring in physics and math, what are some beneficial math classes?
REQUIRED FOR A MATH MAJOR:  Calculus I  Calculus II  Calculus III  Linear Algebra  Abstract Algebra  Differential Equations  Intermediate Analysis  Vector Analysis (I could replace with either Complex Analysis or Advanced Multivariable Calculus, but Vector Analysis is required for a Physics major)  Survey of Undergraduate Mathematics ELECTIVES: I need to take:  Partial Differential Equations I & II (required for a Physics major) So I need three more math classes, here are most of my options:  Advanced Multivariable Calculus  Discrete Mathematics  Complex Analysis  Intro to Higher Geometry  Intro to Stochastic Processes  Intro to Real Analysis I & II  Graph Theory  Advanced Abstract Algebra  Topology  Nonlinear Dynamics and Chaos  Differential Geometry  Mathematics of Signal Representation  Integral Equations  Theory of Ordinary Differential Equations  Numeral Analysis  Advanced Linear Algebra I & II  Number Theory  Mathematical Statistics I & II I could also take a seminar or a "special topics" class Any suggestions??  



#2
Apr2710, 02:49 PM

P: 270

My personal choices would be:
Differential Geometry Complex Analysis Linear Algebra If I were to take any more, I'd probably do numerical analysis and Integral equations. I'm still an undergraduate though, so I don't have any personal insight on what will help in grad school. 



#3
Apr2710, 03:09 PM

Emeritus
Sci Advisor
PF Gold
P: 9,010

How is "intermediate" analysis mandatory but "intro" analysis optional? You need to know the basics of linear algebra really well, but I can't tell if the introductory course is enough, because I don't know what it covers. If you intend to work with mathematical physics in the future, you're probably going to have to study real and complex analysis, differential geometry, integration theory, topology, functional analysis and the theory of representations of Lie groups and Lie algebras.




#4
Apr2710, 06:13 PM

P: 28

Best math classes for a physics major??The course description for Intermediate Analysis is "Properties of real number system, properties of continuous functions, and sequences of functions" and the only prereq is Calculus 3. On the other hand, the description for Intro to Real Analysis is "Properties of continuous functions, partial differentiation, line integrals, improper integrals, infinite series, and Stieltjes integrals" and it's prereq is Advanced Multivariable Calculus (and a prerequisite for AMCalculus is Intermediate Analysis....) The intro Linear Algebra course description is: "Solutions of systems of linear equations, matrices, vector spaces, linear transformations, similarity eigenvalues and eigenvectors." and Advance Linear Algebra is: "Linear systems of equations, matrices, determinants, vector spaces and linear transformations, eigenvalues and eigenvectors. Similarity of matrices, diagonalization, Hermitian and positive definite matrices, normal matrices, and canonical forms, with applications." 



#5
Apr2710, 06:21 PM

P: 614




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