Mathematics
PC (Eng. Prep year 2)

Mathematics PC (Eng. Prep year 2) Revision Sheets

Mathematics in PC is more applied and computational than in MP. Hours ~8/week, coefficient ~25-30% at concours. The curriculum focuses on tools useful for physics-chemistry: linear algebra, analysis, probability.

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Mathematics curriculum in PC (Eng. Prep year 2)

The curriculum covers endomorphism reduction (diagonalization, application to matrix power calculation), Euclidean spaces (orthogonality, orthogonal projectors), numerical and power series, generalized integrals, linear differential equations (analytical and numerical solution methods), multivariable functions (differential calculus, optimization), and probability (continuous random variables, usual distributions, limit theorems).

Endomorphism reduction: diagonalization
Euclidean spaces and orthogonality
Power series and applications
Generalized integrals and criteria
Linear differential equations
Multivariable functions
Continuous probability and normal distributions
Central limit theorem and applications

How to study mathematics in PC (Eng. Prep year 2)?

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Tips to succeed in mathematics PC (Eng. Prep year 2)

1
Tip 1

Math in PC is more computational than theoretical: master calculation techniques (integration, diagonalization, differential equations) until you do them automatically

2
Tip 2

For differential equations, learn BOTH analytical and numerical solution methods (Runge-Kutta) — both tested

3
Tip 3

Probability is more accessible than in MP: aim for 15+/20 on this part by working 30 typical exercises

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Tip 4

For concours, prioritize Mines-Ponts and Centrale past papers (calibrated for PC) over X papers

FAQ — Mathematics PC (Eng. Prep year 2)

Are maths in PC really easier than MP?

Easier isn't exact — "different" is more accurate. The PC curriculum removes some theoretical chapters (Fourier series at minimum, less advanced spectral theorems) in favor of more calculation techniques used in physics-chemistry. Volume is slightly lower (~10% less). But formal rigor demand stays high. If you excel in math, stay in MP. If you prefer concrete application, PC will suit you better.

How to efficiently revise math in PC?

Plan in 3 phases: 1) Weeks 1-15 (first semester): cover each chapter once with application exercises — aim for 100% of curriculum covered by Christmas break. 2) Weeks 16-25 (second semester): intensify concours-style exercises (Mines-Ponts, Centrale, CCINP past papers). 3) Weeks 26-30 (April-May): targeted revision + 5-10 complete topics in concours conditions. Regularity (12-15h/week) widely beats final cramming. Colles are essential: prepare them 3-4h each.

What math coefficients at PC concours?

Math coefficients vary by concours: Mines-Ponts ~28%, Centrale ~30%, CCINP ~25%, X-ENS ~30-35%. For "normal" engineering schools (INSA, ENSAM, Polytech), math typically represents 25-30% of points. One of the two most important subjects (with chemistry) for most PC students. Invest 12-15h/week in math throughout the year — the right effort/ROI ratio.

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