What Math and Physics Topics Are Covered in A Level Courses in America?

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SUMMARY

The A-Level curriculum in England encompasses a comprehensive range of mathematics and physics topics. In mathematics, students cover Mechanics 1, Statistics 1, and Pure Mathematics 1 in the first year, followed by Pure Mathematics 2, 3, and a choice between Pure 4, Statistics 2, or Mechanics 2 in the second year. Key subjects in physics include Quantum Physics, Kinetics, and Electronics, with optional topics such as Astronomy and Theoretical Physics. The structure allows for further specialization through Further Maths and Triple Mathematics, which include advanced modules like P4, M4, and S3.

PREREQUISITES
  • Understanding of A-Level Mathematics modules (P1, P2, P3, M1, S1)
  • Familiarity with physics concepts such as Quantum Physics and Kinetics
  • Knowledge of calculus techniques relevant to Pure Mathematics
  • Awareness of the differences in A-Level syllabuses across countries
NEXT STEPS
  • Research the A-Level Mathematics syllabus in detail, focusing on modules like P4 and M4
  • Explore the implications of studying Further Maths for university admissions
  • Investigate the overlap between A-Level Physics and Mathematics, particularly in calculus applications
  • Examine alternative A-Level systems in countries like Ireland and Norway for comparative analysis
USEFUL FOR

Students considering A-Level courses, educators teaching mathematics and physics, and academic advisors guiding students on curriculum choices.

Thallium
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Exactly what math and physics subjects are you dealing with on A-level?
 
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Well in first year maths, we take 3 modules, mechanics 1, statistics 1 and Pure maths 1.

Mechanics is about motion, modelling using constant acceleration, forces and Newton's laws of motion, Newtons second law along the line, vectors, projectilesm forces and motion in 2D, and general motion.

Statistics is about binomial expansion, probability, standard deviation, types of data, analysing data, sampling, and hypothesis testing.

Pure maths is trigononmetry, coordinate geometry, polynomials, differentiation, and intergration.

In the second year, we study Pure maths 2, pure maths 3, and then a choice between pure 4, stats 2 or mechanics 2.

i only know what pure 2 is cos i have just taken it. Pure 2 contains indices, sequences and series, functions, calculus techniques, natural logarithms and exponentials and numerical solutions of equations.


PHYSICS, you study Quantum physics, particles, kinetics, forces and motion and mechanicsy stuff, electronics, capacitance, exponetials, nuclear physics, and choice of astromony, theoretical physics, and astronomy. There are probably a lot more like circular motion and stuff, but someone else can answer.
 
Originally posted by Thallium
Exactly what math and physics subjects are you dealing with on A-level?
Different countries have different A-level syllabuses and some countries do not have A-level. If you want to know more about the A-level syllabus in your country, I think you may find it on the internet.
 
ps... I am in England!
 
Yes I meant the A-level in England. The school system in Norway is different from the A-level system and I was curious.

Does anyone know what it's like in Ireland?
 
Just as an extension on jimmy p the full A-Level in Mathematics involves taking one of a number of combinations of modules.

For the single Maths A-level one can take:

P1 P2 P3 (COMPULSARY)

M1 (COMPULSARY)

S1 (COMPULSARY)

Then either:

M2 or S2



Then one can go a step further and take Further Maths A-level

This involves:

P1 P2 P3 P4 P5 P6 (COMPULSARY)

M1 M2 M3 (COMPULSARY)

S1 S2 (COMPULSARY)

Then either:

M4 or S3


And after that u can take Triple Mathematics.

This involves:

P1 P2 P3 P4 P5 P6

M1 M2 M3 M4 M5 M6

S1 S2 S3 S4 S5 S6



Now there are two more modules:

Called D1 and D2

this is decision making. (what is this one might ask, and i couldn't tell them) one can take them instead of one of the statistics and mechanics modules.

This is the structure of the A-Level Mathematics system.
 
This is the AS and A2 course that I teach - http://advancingphysics.iop.org/

It is a very good syllabus in parts, but too much coursework ruins it for me.
It is also a little lacking in depth at times, but that is the way the Government in the UK want the 'A'levels to be!
 
Last edited by a moderator:
This involves:

P1 P2 P3 P4 P5 P6 (COMPULSARY)

M1 M2 M3 (COMPULSARY)

S1 S2 (COMPULSARY)

Then either:

M4 or S3

This did not reflect my experiences.

My modules were:
P1 P2 P3 P4 P5 P6

M1 M2 M3 M4 M5 M6

That's right, no Stats modules at all.

Allegedly, this option is more favourable for university maths courses, and the M modules are generally considered the more challenging modules. Besides, the Stats exam papers look insanely tedious.

Physics at A-level wasn't really that good, IMHO. Too much overlap with the lower M modules, and seemed to skim over the more interesting bits. Outrageously, calculus is not involved at any point, perhaps for fear of alienating those who choose inexplicably not to study maths as well as physics. Much credit to my teacher though, who had a sort of tangential approach to teaching.
 
A Level in America:

Math: Algebra 1

Pre-Physics, an illustrated comic guide to E=MC^2.
 

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