Bienvenue sur la chaîne SupMath dédiée aux maths en classes préparatoires et au premier cycle universitaire.
Tu y trouveras :
• Cours structurés pour aller à l’essentiel sans sacrifier la rigueur ;
• Exercices corrigés pas à pas (techniques, astuces d’exam, pièges à éviter) ;
• Méthodes incontournables : récurrence (simple/forte), raisonnement par l’absurde, inégalités classiques, suites/séries, intégrales, dénombrement, probas ;
• Playlists par filière : MPSI, MP2I, PCSI, PTSI puis MPI, MP, PC, PSI ;
• Un contenu pertinent aussi pour prépas intégrées et licence L1–L2.
Objectif : t’aider à comprendre, t’entraîner et réussir tes DM, DS, colles, partiels et concours.
Abonne-toi et active la cloche pour ne rien manquer !

Majorant, minorant, max, min — Course on real numbers (1/4)
22:01
Majorant, minorant, max, min — Course on real numbers (1/4)
An example of an injective application if and only if it is surjective
5:26
An example of an injective application if and only if it is surjective
Cours des relations binaires, relations d'équivalence et relations d'ordre
1:00:52
Cours des relations binaires, relations d'équivalence et relations d'ordre
Exercice type khôlle sur la théorie des ensembles (Prépa MPSI, MP2I, PCSI, PTSI)
7:13
Exercice type khôlle sur la théorie des ensembles (Prépa MPSI, MP2I, PCSI, PTSI)
Exercise on the direct image and the reciprocal image of a set by an application
8:35
Exercise on the direct image and the reciprocal image of a set by an application
Properties of the inverse image of a set by an application
9:04
Properties of the inverse image of a set by an application
Properties of the direct image of a set by an application
9:13
Properties of the direct image of a set by an application
Union of intersections and intersection of unions of sets. Corrected exercise on sets
8:06
Union of intersections and intersection of unions of sets. Corrected exercise on sets
Injective surjective bijective and composed of applications
12:24
Injective surjective bijective and composed of applications
A corrected exercise on equality, union and intersection of sets (Maths sup)
5:06
A corrected exercise on equality, union and intersection of sets (Maths sup)
Cartesian product of two sets
9:12
Cartesian product of two sets
Symmetrical difference of two sets | Prep (CPGE) MPSI MP2I PCSI PTSI L1 L2
5:31
Symmetrical difference of two sets | Prep (CPGE) MPSI MP2I PCSI PTSI L1 L2
Difference of sets, union and intersection — corrected exercises | Prep (CPGE) MPSI, MP2I, PCSI
10:17
Difference of sets, union and intersection — corrected exercises | Prep (CPGE) MPSI, MP2I, PCSI
An exercise on set operations (difference of two sets and intersection)
3:13
An exercise on set operations (difference of two sets and intersection)
Nested cosines and radicals: a beautiful formula
3:11
Nested cosines and radicals: a beautiful formula
Numerical sequence and strong recurrence. Prep (CPGE) MPSI, MP2I, PCSI, PTSI
8:02
Numerical sequence and strong recurrence. Prep (CPGE) MPSI, MP2I, PCSI, PTSI
Reasoning by contradiction: ln2/ln3 is irrational.
1:55
Reasoning by contradiction: ln2/ln3 is irrational.
We show by contradiction that the square root of 2 is irrational.
4:49
We show by contradiction that the square root of 2 is irrational.
Negation of the quantifier there exists a unique (Negation of the quantifier: there exists one an...
2:31
Negation of the quantifier there exists a unique (Negation of the quantifier: there exists one an...
Reciprocal implication, negation and contrapositive of an implication
6:55
Reciprocal implication, negation and contrapositive of an implication
Negation of a proposition in logic (not P) 👍 How to negate a mathematical statement?
9:18
Negation of a proposition in logic (not P) 👍 How to negate a mathematical statement?
Translating mathematical propositions using quantifiers, Logic exercise
10:48
Translating mathematical propositions using quantifiers, Logic exercise
All parts
6:37
All parts
A functional equation by analysis synthesis
5:55
A functional equation by analysis synthesis
An exercise solved by reasoning by disjunction of cases.
2:10
An exercise solved by reasoning by disjunction of cases.
Cantor's Theorem: There is no surjective mapping from E to P(E)
2:25
Cantor's Theorem: There is no surjective mapping from E to P(E)
Résoudre l'équation 𝑋∪𝐴=𝐵. Opérations sur les ensembles, exercice corrigé
5:25
Résoudre l'équation 𝑋∪𝐴=𝐵. Opérations sur les ensembles, exercice corrigé
Solving the equation 𝑋∩𝐴=𝐵, sets and applications
4:51
Solving the equation 𝑋∩𝐴=𝐵, sets and applications
Corrected exercise for manipulating operations on sets.
4:24
Corrected exercise for manipulating operations on sets.
Ensemble des parties d'un ensemble P(E), exercice corrigé
10:22
Ensemble des parties d'un ensemble P(E), exercice corrigé