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Maths prépa study sheets: analysis, algebra, probability. MPSI/PCSI program with key theorems, formulas, and exam techniques.
French CPGE (Classes Préparatoires aux Grandes Écoles) condense three years of university-level maths into two intensive years. The MPSI and PCSI tracks both rest on three pillars: analysis (sequences, functions, integration, differential equations), algebra (vector spaces, matrices, determinants, eigenvalue reduction) and discrete probability. Selectivity at the entrance exams (Polytechnique, ENS, Mines-Ponts, Centrale, CCINP) hinges on rigour rather than raw computation: examiners reward clean reasoning, well-stated theorems, and methodical problem decomposition.
Key tools to master: the formal ε-N definition of convergence, the mean value theorem, Taylor expansions, integration by parts and substitution, linear algebra rank-nullity, and the Cauchy-Schwarz inequality. EduFiche turns your CPGE handouts and past papers into ready-to-print study sheets in 30 seconds.