Physics Extreme Project: learning physics/math in spare time

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Discussion Overview

The discussion revolves around an individual's plan to review and learn physics and mathematics in their spare time, focusing on topics such as classical mechanics, electrodynamics, calculus, linear algebra, and differential equations. The scope includes both theoretical and applied aspects of these subjects, as well as concerns about the feasibility of the proposed study timeline.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • The original poster (OP) expresses a desire to learn physics and mathematics, starting with quantum mechanics and solid state physics, but realizes a need to strengthen their understanding of classical physics.
  • The OP proposes a study plan that includes calculus, linear algebra, and differential equations, followed by classical mechanics and electrodynamics.
  • Some participants suggest that the OP's timeline of 2-3 months for such a comprehensive review is overly ambitious, recommending a slower pace.
  • One participant advises that reviewing calculus and differential equations is essential before tackling classical mechanics, followed by vector calculus and electrodynamics.
  • Another participant questions whether the OP has completed a typical calculus-based introductory physics course, suggesting that starting with such a course might be beneficial while catching up on calculus.
  • The OP confirms they have completed three standard physics courses and aims to broaden their knowledge from basic to intermediate levels.
  • One participant emphasizes that the study of Stewart's Calculus book is typically spread over 15 months in a university setting, indicating that the OP may need to extend their study plan.
  • There are differing opinions on the order of subjects to study, with some suggesting a different sequence for mathematics and physics topics.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of the OP's study timeline and the order of subjects to be studied. There is no consensus on the best approach, and multiple competing views remain regarding the study plan.

Contextual Notes

Participants highlight the potential challenges of the OP's ambitious timeline and the need for a solid foundation in mathematics before progressing to more advanced physics topics. There are also varying opinions on the prerequisites for studying the proposed subjects.

Dr_Pill
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I added the 'extreme' part to generate a cool acronym: P.E.P.

I want to review/learn as much as I can from physics & mathematics, in my spare time(!).

I started out with quantum mechanics & solid state physics, yet I discovered that my notions of classical physics are poor.

So I turned to classical mechanics & electrodynamics, then it became obvious to me that my basic math skills were also underachieving.
So I must add calculus, linear algebra and differential equations as well.
Of course I once studied this material, but it's so far away.Plus, my brains are rusty, not in shape.

I'm trying to get a nice logical order of subjects.

Phase 1:
Calculus =>Linear Algebra => Differential Equations
combined with
Classical Mechanics followed by Electrodynamics.

Is that a good start?

For Calculus, I use Stewart, Linear Algebra : Lay
Differential Equations: Boyce
Classical Mechanics: Classical Dynamics Particles/Systems
Elektrodynamics: Griffiths

I'm planning to review these subjects as profoundly as possible in as much as 2-3 months.
After that, I throw in Thermodynamics/Statistical Mechanics/Quantum Mechanics/Solid State Physics.
Possibly Abstract Algebra as well.
Problem is: I'm terrible at organizing, so advice/suggestions are more than welcome. :)
 
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Dr_Pill said:
I added the 'extreme' part to generate a cool acronym: P.E.P.

I want to review/learn as much as I can from physics & mathematics, in my spare time(!).

I started out with quantum mechanics & solid state physics, yet I discovered that my notions of classical physics are poor.

So I turned to classical mechanics & electrodynamics, then it became obvious to me that my basic math skills were also underachieving.
So I must add calculus, linear algebra and differential equations as well.
Of course I once studied this material, but it's so far away.Plus, my brains are rusty, not in shape.

I'm trying to get a nice logical order of subjects.

Phase 1:
Calculus =>Linear Algebra => Differential Equations
combined with
Classical Mechanics followed by Electrodynamics.

Is that a good start?

For Calculus, I use Stewart, Linear Algebra : Lay
Differential Equations: Boyce
Classical Mechanics: Classical Dynamics Particles/Systems
Elektrodynamics: Griffiths

I'm planning to review these subjects as profoundly as possible in as much as 2-3 months.
After that, I throw in Thermodynamics/Statistical Mechanics/Quantum Mechanics/Solid State Physics.
Possibly Abstract Algebra as well.
Problem is: I'm terrible at organizing, so advice/suggestions are more than welcome. :)

I think that's a little ambitious! That is a huge body of material to study in such a short time, especially in your "spare" time.

I think you should take things on a bit slower. I would definitely review the calculus and differential equations, and that is enough to get you going with some real classical mechanics. Then you can do some vector calculus and move on to some E&M. Then do some Linear Algebra and move on to Quantum mechanics etc...
 
Have you already studied physics at the level of a typical calculus-based introductory course that uses something like Halliday/Resnick/Walker or the dozen or so similar textbooks? If not, then you might want to start there while you're catching up on calculus etc. You don't actually need a whole lot of calculus for books at that level.
 
jtbell said:
Have you already studied physics at the level of a typical calculus-based introductory course that uses something like Halliday/Resnick/Walker or the dozen or so similar textbooks? If not, then you might want to start there while you're catching up on calculus etc. You don't actually need a whole lot of calculus for books at that level.

Yes, I did three standard physics courses, that covered the whole Serway with Modern Physics + Giancoli.

Want to broaden my knowledge, from basic physics to intermediate.
 
Dr_Pill said:
I added the 'extreme' part to generate a cool acronym: P.E.P.

I want to review/learn as much as I can from physics & mathematics, in my spare time(!).

I started out with quantum mechanics & solid state physics, yet I discovered that my notions of classical physics are poor.

So I turned to classical mechanics & electrodynamics, then it became obvious to me that my basic math skills were also underachieving.
So I must add calculus, linear algebra and differential equations as well.
Of course I once studied this material, but it's so far away.Plus, my brains are rusty, not in shape.

I'm trying to get a nice logical order of subjects.

Phase 1:
Calculus =>Linear Algebra => Differential Equations
combined with
Classical Mechanics followed by Electrodynamics.

Is that a good start?

For Calculus, I use Stewart, Linear Algebra : Lay
Differential Equations: Boyce
Classical Mechanics: Classical Dynamics Particles/Systems
Elektrodynamics: Griffiths

I'm planning to review these subjects as profoundly as possible in as much as 2-3 months.
After that, I throw in Thermodynamics/Statistical Mechanics/Quantum Mechanics/Solid State Physics.
Possibly Abstract Algebra as well.
Problem is: I'm terrible at organizing, so advice/suggestions are more than welcome. :)

The "2-3 months" part is far too ambitious. Even with a good algebra backing, going through Stewart's Calculus book would take 2-3 months if you're rushing. At my University, that book is divided into three courses and is taught over the time period of about 15 months. I don't know how much spare time you have, but you'll probably have to extend your plan.

I would say do your math in the order of:
1. Calculus
2. Diff Eqns
3. Linear Algebra
4. Any/all math

For physics:
1. Classical Mechanics
2. E&M
3. Statistical Mechanics
4. Quantum Mechanics
5. Any/all physics

I threw Stat mech in because it's one of the four "pillars" of physics and is quite useful in all other areas.
 

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