What math do I need for undergraduate level physics?

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    Physics Undergraduate
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Discussion Overview

The discussion revolves around the mathematical prerequisites needed for undergraduate-level physics, particularly for individuals interested in specializing in fields such as nuclear physics, plasma physics, and high energy physics while majoring in engineering. Participants explore various mathematical topics and resources that could aid in self-study.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants suggest that a solid foundation in calculus (up through multivariable calculus) is essential for both physics and engineering.
  • Others argue that linear algebra and differential equations are also critical components of the mathematical toolkit for undergraduate physics.
  • A few participants mention the importance of statistics, particularly for advanced physics topics.
  • There are recommendations for specific textbooks that cover the necessary mathematical methods for physics and engineering.
  • Some participants express uncertainty about the specific major to pursue, indicating a desire for flexibility in their educational path.
  • One participant highlights the contradiction in wanting to specialize in physics while choosing an engineering major, prompting questions about future career goals.

Areas of Agreement / Disagreement

Participants generally agree on the importance of calculus, linear algebra, and differential equations for undergraduate physics. However, there is no consensus on the necessity of additional topics like statistics or abstract algebra, and some participants express differing views on the implications of choosing an engineering major over a physics major.

Contextual Notes

Some participants note that the mathematical requirements may vary depending on the specific physics courses taken and the individual’s background in mathematics. There is also mention of the potential for specialized math topics to be introduced within physics courses.

Tynezz
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Hey!
In the future, I want to specialize in something like nuclear physics, plasma physics and/or high energy physics.

I'm not going to major in physics and will major in engineering but physics interests me, so I'd like to self study!
 
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Tynezz said:
Hey!
In the future, I want to specialize in something like nuclear physics, plasma physics and/or high energy physics.

I'm not going to major in physics and will major in engineering but physics interests me, so I'd like to self study!
Welcome to the PF. :smile:

Your two paragraphs are contradictory, IMO. Why not major in physics if that is where you want top end up later? What jobs do you think you want to be working in 5-10 years after you earn your BS? Are you planning on going to graduate school?
 
berkeman said:
Welcome to the PF. :smile:

Your two paragraphs are contradictory, IMO. Why not major in physics if that is where you want top end up later? What jobs do you think you want to be working in 5-10 years after you earn your BS? Are you planning on going to graduate school?

I don't know what I'll be majoring in, to be honest, I'm just looking for the math so it's much easier to just pick x and major into that without any sort of hassle.
 
Tynezz said:
Hey!
In the future, I want to specialize in something like nuclear physics, plasma physics and/or high energy physics.

I'm not going to major in physics and will major in engineering but physics interests me, so I'd like to self study!
Tynezz said:
I don't know what I'll be majoring in, to be honest, I'm just looking for the math so it's much easier to just pick x and major into that without any sort of hassle.
Engineering could be the major field to choose. The common Mathematics requirement typical for Engineering and Physics major-field students would be Calculus 1,2,3, and a watered-down course combining linear algebra and differential equations. You would want MORE AND BETTER than just that to ensure the best success in either Engineering, or Physics, or whatever else is near to these major fields.

Understand, a degree in Engineering will include a certain prescribed minimum of Physics courses. If you are expecting later to do something in Physics, then,...,... .
 
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It would be helpful to know what level of math you are at right now.

For introductory university-level physics, you need algebra, trigonometry, pre-calculus and some calculus (basic derivatives and integrals).

For upper-level university physics, it depends on the particular subject, but as a minimum you will also need calculus through multivariable calculus (vector calculus), ordinary differential equations, and some linear algebra. More specialized math topics are often introduced in physics courses that require them, or you can use one of the books that berkeman linked to. Boas (as per JoePhysics) is commonly used and is often discussed here.
 
If you want to get into any advanced physics with any depth, you'll be needing the entirety of Calculus (up through multivariable and vector calculus whether it be Calc 3 or 4 for your school), plus differential equations and linear algebra. A statistics class could also be particularly useful (especially for the subjects you mentioned), though the necessary statistics concepts are usually covered in the relevant texts I find.
 
  • #10
Multivariable calculus and linear algebra, as mentioned, will get you through an undergraduate Physics program. Abstract algebra, and real and complex analysis will tell you whether you want to pursue an advanced Physics degree.
 
  • #11
Stuschreib said:
Multivariable calculus and linear algebra, as mentioned, will get you through an undergraduate Physics program. Abstract algebra, and real and complex analysis will tell you whether you want to pursue an advanced Physics degree.
Other than multivariable calculus and linear algebra, I would certainly add differential equations, both ordinary as well as partial, as required to go through a typical undergraduate physics program.
 

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