Interested only in theory/mathematical physics. What should I focus on?

In summary, the individual is a second year undergraduate majoring in both mathematics and physics. They have decided to focus more on one field, but are unsure which one to choose since they are primarily interested in theoretical/mathematical physics. They are considering taking specific courses in the fall of 2012, either focusing on math-heavy courses such as real analysis and topology, or physics-heavy courses such as elementary lab and E&M II. They are seeking opinions on which direction to take and how it may affect their future graduate school applications in either physics or mathematical physics.
  • #1
ahsanxr
350
6
I'm a second year undergrad, currently majoring both in mathematics and physics. However I've decided that the time has come where I should stop taking both classes evenly and start devoting more of my time to one field. However I'm unsure which field that should be if I'm interested primarily in theoretical/mathematical physics. To give you guys a better idea here's what I was thinking about taking in fall 2012.

If I go math-heavy:

Real analysis
Topology
Graduate Algebra 1
Graduate Quantum Mechanics 1

If I go physics-heavy:

Either Topology or Analysis
Elementary Lab 1
Graduate Quantum Mechanics 1
E&M II
Statistical Mechanics.

Which side should I focus on in your opinions? If I do decide to go math-heavy I probably won't be doing the 3 required lab semesters of the physics BS, and hence I won't have a formal degree in physics although I would have taken classes up til QFT by the time I graduate. How would physics schools view that if I decide to apply to them for theory? Similarly if I decide decide to focus on physics I won't be able to take a lot of math grad classes. How then would that be viewed by the math/mathematical physics graduate schools?
 
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  • #2
You asked the same question here.

It's better to explain what was unsatisfactory about the answer than to just ask the question over again.
 

FAQ: Interested only in theory/mathematical physics. What should I focus on?

1. What is the difference between theoretical physics and mathematical physics?

Theoretical physics focuses on developing and testing theories that explain and predict physical phenomena, while mathematical physics uses mathematical tools and concepts to study and understand the underlying principles of physics.

2. How important is a strong mathematical background for studying theoretical physics?

A strong mathematical background is crucial for studying theoretical physics, as it helps in developing and understanding complex theories and mathematical models that describe the behavior of physical systems.

3. Which branches of mathematics should I focus on for studying theoretical physics?

Some important branches of mathematics for theoretical physics include calculus, differential equations, linear algebra, complex analysis, and group theory. It is also beneficial to have knowledge of advanced topics such as topology and functional analysis.

4. How can I prepare for a career in theoretical physics?

In addition to a strong foundation in mathematics and physics, it is important to develop critical thinking and problem-solving skills. Engaging in research projects, attending seminars and conferences, and reading current literature in the field can also help in preparing for a career in theoretical physics.

5. Are there any specific areas of theoretical or mathematical physics that are currently in high demand?

Currently, there is a growing demand for theoretical physicists in fields such as quantum computing, string theory, and cosmology. Additionally, mathematical physicists who possess strong computational skills are also highly sought after in various industries, including technology and finance.

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