Courses Math Courses for Theoretical Physics PhD - Linear Alg., Diff Eq, Calc & More

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For those pursuing a theoretical physics PhD, a solid foundation in advanced mathematics is essential. While the standard curriculum at UCSB includes two quarters each of calculus, linear algebra, differential equations, and vector calculus, many contributors emphasize the need for additional courses. Recommended subjects include complex variables, abstract algebra, mathematical physics, and differential geometry. These advanced topics are crucial for a deeper understanding of theoretical physics concepts. It's noted that while the basic prerequisites may be met, further mathematical training is necessary to excel in upper-division physics classes.
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If I'm interested in pursuing a theoretical physics PhD, what math courses should I be taking in undergrad and in what order should they be done? I've already taken linear algebra, differential equations, and multivariable calculus, so at a level more advanced than that. I appreciate the help.
 
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At my school (UCSB), it's done

1. Two quarters of Calculus
2. Two quarters of linear algebra and differential equations
3. Two quarters of vector calculus

After that, it's just loads of physics classes
 
Intervenient said:
At my school (UCSB), it's done

1. Two quarters of Calculus
2. Two quarters of linear algebra and differential equations
3. Two quarters of vector calculus

After that, it's just loads of physics classes

You need way more math then that. Take complex variables, abstract Algebra, a class in mathematical physics, differential geometry plus others. Here is my math schedule for undergrad. https://www.physicsforums.com/showthread.php?t=524112
 
xdrgnh said:
You need way more math then that. Take complex variables, abstract Algebra, a class in mathematical physics, differential geometry plus others. Here is my math schedule for undergrad. https://www.physicsforums.com/showthread.php?t=524112


I'm just reporting what the mathematics prereqs are at the school. I have no idea if the upper division physics classes don't learn those, I'm not a physics major.
 
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