High school student doing college physics

[narayan.rocks]

I am an high school student starting grade 11 this year . I have been interested in physics since class 6 and i have been studying advanced physics since then . IN grade 9 and 10 i have read and solved problems from Resnick,halliday and walker's book ( which i think is a undergrad book isn't it? ) and i completed it .
I learned calculus( integration , differentiation and solving simple differential equations and nothing more) , trigonometry , higher algebra and geometry side by side with physics .
Now I am in confusion about how to proceed from here . Should i strengthen my problem solving skills and go for the international physics olympiad ( if yes how to prepare for it)
or should i continue studying advanced undergrad physics books( if yes , please suggest any good books )
Any guidance would be really helpful.

 

[SpaceDreamer]

Keep practicing your math and strengthening your problem solving skills. This will reinforce your knowledge and make you better at the math and so the physics. You need a solid background in the math before delving into even more complex physics.

 

[narayan.rocks]

suggest any good books to study math for physics.

any other suggestions or guidance??

 

[Snow-Leopard]

Why you are reading college level physics in high school if it is just for getting ahead to others then
1.Revise the Fundamentals of Physics to Perfection.
2.Lang's Basic Mathematics or Advanced Engineering Mathematics by Kreyszig.
3.Don't go very higher, Just do Kleppnar Mechanics and Purcell Electrodynamics. For Modern Physics Krane or visit here PF Physics/Astronomy Textbook Discussion.

If the above looks you insufficient and want to do even higher, then include
1.Mathematical Methods for Physical Sciences by Mary Boas
2.Schaum's Outline of Vector Analysis.
3.Spivak Calculus
4.Marion & Thornton Mechanics and Griffiths Electrodynamics.and Quantum Mechanics by Liboff.

Keep Studying till Perfection. Best Wishes

Snow-Leopard.

 

[Mmm_Pasta]

In addition to what everyone else has said, I would suggest International Physics Olympiad if it is something you are interested in. Problems in General Physics by Irodov is a good book for this. The text and solutions are available online on some obscure sites (extremely expensive book, would not suggest buying; also, very rare).

If you decide to go to school after high school, I would not suggest studying any further than the introductory physics that you have already studied. You might get bored or burned out if you do. I do disagree with Snow-Leapord's suggestion of a calculus text. I find Courant or Apostol geared more towards a physicist than a mathematician (especially Courant). Although, let your interests dictate whether you want Courant/Apostol or Spivak. Div, Curl, and All That is also a good text in addition to Schaum's Outline of Vector Analysis.

 

[narayan.rocks]

thankyou everyone . any other suggestions please

 

[Cbray]

Olympiad is for people who are interested in spending countless hours on the same questions for months and months. You can't do advanced books yet, you don't have the maths - You would need linear algebra and much more calculus than just single-variable.

 

[narayan.rocks]

how much math would i need and which books should i refer

 

[Snow-Leopard]

how much math would i need and which books should i refer

If you are preparing for/ going to prepare Physics Olympiad then go your countries national physics olympiad page. In USA it is AAPT.https://aapt.org/physicsteam/2013/
They have some recommended text go through it.

 

[Cbray]

how much math would i need and which books should i refer

It'd take you probably a 6 -12 months depending on your study habit. You'll need Linear Algebra, much more calculus and differential equations for much more advanced physics. For the Olympiad you need maximum the maths you have now.

 

[Snow-Leopard]

narayan.rocks if you want to directly jump to College level Physics then Schaum's Outline give you great help as a basic college level books, try these
Schaum's Outline of Mathematics for Physics Students.& Outline of E&M & Outline of Modern Physics or Quantum Mechanics.

There is also a book for Calculus in series, Calculus 3000 solved Problems.

Keep Studying till Perfection. Best Wishes

Snow-Leopard.