Necessary maths for undergraduate physics

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    Physics Undergraduate
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Discussion Overview

The discussion centers around the mathematical skills necessary for an undergraduate physics program in the UK, particularly focusing on which areas of mathematics are essential and which may not be as critical. Participants explore topics such as statistics, calculus, and various mathematical methods relevant to physics coursework.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses uncertainty about the necessity of specific statistical concepts, such as box and whisker plots, histograms, and hypothesis testing, suggesting that basic probability and distributions are essential.
  • Another participant emphasizes the importance of hypothesis testing, noting that statistics content may vary between A-levels but is likely to be covered in the first term of the physics course.
  • A suggestion is made to follow a summer reading list tailored to the course, indicating that it would help in preparing for the first term.
  • Several mathematical topics are proposed as essential for a physics BSc, including calculus, ordinary differential equations (ODE), partial differential equations (PDE), complex analysis, geometry/trigonometry, linear algebra, and probability distributions.
  • A participant shares their experience of learning mathematics as needed while dual majoring in math and physics, indicating that students may pick up necessary math skills throughout their studies.
  • There is mention of specific courses at a school level, highlighting that Mathematical Physics I focuses on PDE and Mathematical Physics II combines complex analysis with statistics/probability.

Areas of Agreement / Disagreement

Participants generally agree on the importance of certain mathematical topics for physics but express differing views on the necessity of specific statistical methods and the structure of math courses. The discussion remains unresolved regarding which statistical concepts are essential.

Contextual Notes

Some participants note that the relevance of statistics may depend on the specific physics courses taken, particularly in relation to lab work and quantum mechanics. There is also uncertainty about the content of math methods courses and how they align with physics studies.

maxim07
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I’m starting a physics BSc in the Uk in September, just brushing up on some maths skills before. To speed the process up I’m wondering what maths is not absolutely necessary.

I‘m brushing up on all pure ,ash’s and mechanics, but statistics is included in the UK A level too which I am not too strong at.

I’m assuming a knowledge of basic probability, probability distributions (normal and binomial distributions are covered in the a level) and a knowledge of measures of central tendency, spread and correlation are going to be necessary.

what about things like box and whisker plots, histograms and cumulative frequency diagrams, will a knowledge of these ever be needed. Also what about hypothesis testing?
 
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Is there a summer reading list for your course? Follow that because it will be tailored to fit in with your first-term courses.

Hypothesis testing is really important, but because stats content varies between A-levels this is likely to be well covered in the first term.

Read and/or watch Feynman. Learn how to code, in Python and ideally Matlab. Try to keep up/get into a habit of study, recreation, sleep and taking care of yourself.
 
pbuk said:
Hypothesis testing is really important, but because stats content varies between A-levels this is likely to be well covered in the first term.
Thanks, I’ll have a look for a reading list. I’m guessing this applies not just to statistics but all of the A-level maths, and you are given time to review ideas learned at a level not thrown in the deep end?

Also, I’m assuming that hypothesis testing and data representation is mainly going to be important in lab work which is all coursework based. But what statistics is going to be useful in first year quantum mechanics?
 
Calculus, ODE, PDE, Complex Analysis, Geomtry/Trig, Linear Algebra. Probability and it's distributions. Should serve you well.

I am not sure what one learns in math methods course, since I dueled majored in Math (pure) and Physics. So I read the applications as I needed them. But, essentially for those majoring in physics, you pick up what you need, but the above topics are the essential one needs to complete a BS in Physics.
 
MidgetDwarf said:
I am not sure what one learns in math methods course, since I dueled majored in Math (pure) and Physics.
At my son's school Mathematical Physics I is predominantly PDE. Mathematical Physics II is a combination of Complex Analysis and Stats/Probability. There are separate courses for Calc I-III, Lin Alg I, and ODE.
 

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