What are the math requirements for B.S in Physics?

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Discussion Overview

The discussion centers around the mathematics requirements for a Bachelor of Science in Physics, particularly focusing on the necessary math courses that support the physics curriculum. Participants share their experiences and insights regarding the math classes needed before advancing in physics studies, including topics such as differential equations, linear algebra, and mathematical physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant mentions having completed Calculus 3 and seeks clarification on additional math courses required, specifically noting the inclusion of Differential Equations in the Mathematical Physics course.
  • Another participant lists the typical math courses required, including single and multivariable calculus, linear algebra, and differential equations, while suggesting that numerical and functional analysis may also be beneficial.
  • A different participant describes their school's minimum requirements, which included calculus 1 and 2, multivariable calculus, and a combined differential equations/linear algebra course, emphasizing that more advanced math was learned through physics classes.
  • One participant advises taking the Mathematical Physics course first, suggesting that it is designed to provide the necessary mathematical tools for advanced physics classes and encourages consulting an academic advisor for further guidance.
  • A side note is made regarding the recommendation of a specific textbook for the mathematical physics course, indicating its potential value for students.

Areas of Agreement / Disagreement

Participants express varying opinions on the specific math courses required for a physics degree, with no consensus on a definitive list of necessary classes. Some agree on the importance of certain courses, while others highlight differences based on institutional requirements.

Contextual Notes

Participants note that math requirements can differ significantly between institutions, and some mention that the math learned in physics courses may supplement or replace formal coursework in certain areas.

1stepatatime
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I'm now going into my Junior year of college looking to major in Physics. The last math course I've completed was Calculus 3. I read through the course outline and it listed that a the last lower division math I'll need to complete before I start their Physics program. It looks like Diff. Eq is apart of the Mathematical Physics course listed. I'm interested to know what other math classes would cover the rest:

Mathematical Physics:
prereq: Mathematics 250A (Calculus III). Survey of mathematical techniques required for upper division physics courses including differential vector operators, complex variables, partial and ordinary differential equations, special functions, Fourier transforms and series, matrices and operators, probability and statistics.

Classical Mechanics:
Classical mechanics and associated mathematical and numerical techniques: Newtonian dynamics; Lagrangian and Hamiltonian dynamics.

Modern Physics:
A survey of modern physical theories, their experimental foundations and applications: special relativity; quantum physics of atoms, molecules, and nuclei; introduction to solid state physics.

These of course aren't all of the classes, but I hopefully someone who can shed some light on this subject. I'm a little confused though because I thought I needed a Linear Algebra and formal ODE course at least. Anyways, any help would be greatly appreciated.
 
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Calculus (single & multivariable), Linear Algebra, and Differential Equations are the usual ones. Numerical Analysis and Functional Analysis are also useful. Different schools have different requirements, so check with your department.
 
At my school the bare minimum was calculus 1 and 2, multivariable calculus, differential equations/linear algebra (usually taught as a single class, though not always), and one upper level math class. We used a lot more math than that in physics class, but it was all taught to us. I learned PDEs and (hard) linear algebra from quantum, ODEs from mechanics, and boundary value problems in E&M. But the bare minimum actually wasn't so bad.
 
1stepatatime said:
I'm now going into my Junior year of college looking to major in Physics. The last math course I've completed was Calculus 3. I read through the course outline and it listed that a the last lower division math I'll need to complete before I start their Physics program. It looks like Diff. Eq is apart of the Mathematical Physics course listed. I'm interested to know what other math classes would cover the rest:

Mathematical Physics:
prereq: Mathematics 250A (Calculus III). Survey of mathematical techniques required for upper division physics courses including differential vector operators, complex variables, partial and ordinary differential equations, special functions, Fourier transforms and series, matrices and operators, probability and statistics.

Classical Mechanics:
Classical mechanics and associated mathematical and numerical techniques: Newtonian dynamics; Lagrangian and Hamiltonian dynamics.

Modern Physics:
A survey of modern physical theories, their experimental foundations and applications: special relativity; quantum physics of atoms, molecules, and nuclei; introduction to solid state physics.

These of course aren't all of the classes, but I hopefully someone who can shed some light on this subject. I'm a little confused though because I thought I needed a Linear Algebra and formal ODE course at least. Anyways, any help would be greatly appreciated.

Be glad that your school offers a course in mathematical physics. If not, you will have to take a lot more math courses.

I strongly suggest that you first take that mathematical physics course first. Your school obviously knows what tools you need to have before you take advanced physics classes. If you think that the mathematics that you learned out of that mathematical physics course isn't sufficient, then talk to your advisor and see if he/she recommends taking specific math courses.

On a side note, if your math-physics class uses a text other than https://www.physicsforums.com/showthread.php?t=379895&highlight=boas" get that book anyway. You'll be glad you did.

Zz.
 
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