Mathematics PCSI (Engineering Prep) Revision Sheets
Mathematics in PCSI shares a common curriculum with MPSI (same algebra/analysis/probability base). The difference plays out in year two (PC vs MP) where PC lightens abstraction in favor of applied computation. In PCSI, 10 hours weekly go to math.
Mathematics curriculum in PCSI (Engineering Prep)
The PCSI math curriculum covers complex numbers and trigonometry, linear algebra (vector spaces, linear maps, matrices, determinants), analysis of sequences and functions (limits, continuity, differentiability, integration), linear differential equations, arithmetic and polynomials, and discrete probability (random variables, expectation, variance).
How to study mathematics in PCSI (Engineering Prep)?
3 simple steps for effective mathematics revision.
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Tips to succeed in mathematics PCSI (Engineering Prep)
Do 5-6 exercises per chapter BEFORE each colle: practice beats a thousand readings
Memorize standard Taylor expansions (sin, cos, exp, ln(1+x), (1+x)^α): key to 80% of analysis calculations
For linear algebra, visualize before computing: an endomorphism is a geometric transformation before being a matrix
Prepare colles with a dedicated notebook noting classical traps and standard methods
FAQ — Mathematics PCSI (Engineering Prep)
Is the PCSI math program really identical to MPSI?
Yes, in first year, the official program is strictly identical between PCSI and MPSI. You see the same chapters at the same pace. The difference appears in year two: MP strengthens advanced linear algebra (endomorphism reduction, Euclidean spaces, power series) while PC keeps a more computational and applied program. That said, math coefficient at concours remains high for PC (often 30-35%).
How do I handle 10 hours of weekly math in PCSI?
Organize your week in three phases: 1) active class attention (note concepts, not verbatim), 2) same-evening lecture review (~1h, makes a huge memorization difference), 3) application exercises (5-10/week) before each colle. For 10h of class, plan 15-20h personal work to assimilate. Less and you fall behind; more and you burn out. Sleep and sport remain essential.
Which textbooks for PCSI math?
References are H Prépa Mathématiques PCSI (Hachette), the "Tout-en-un" Dunod, and Roger Mansuy ("Cours" and "Exercices"). For concours-style exercises, RMS (mathematics revue) and annotated CCINP annals. For rigorous proofs, your teacher's lecture notes often beat any textbook. Avoid buying 5 books: 2 well-used references are enough.
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