Formulas Maths and Physics Bac Maroc (SM, PC)

Important: this formulaire tracks the official curriculum of the Moroccan Bac. Consulte men.gov.ma for the official curriculum détaillé publié by the Ministère of the Éducation National.

Mathematics

Dérivées and study of functions

(uv)′u′v + uv′

(u/v)′(u′v − uv′) / v²

(f ∘ g)′(x)g′(x) × f′(g(x))

(eᵘ)′u′eᵘ

(ln u)′u′ / u

(uⁿ)′n·u^(n−1)·u′

Intégrales

∫ xⁿ dxxⁿ⁺¹/(n+1) + C (n ≠ −1)

∫ eˣ dxeˣ + C

∫ 1/x dxln|x| + C

∫ cos x dxsin x + C

∫ sin x dx−cos x + C

IPP: ∫ uv′ dx[uv] − ∫ u′v dx

Complex numbers

Module|z| = √(has² + b²)

Form trigonométriquez = r(cos θ + i sin θ)

Form exponentiellez = r·e^(iθ)

Conjuguéz̄ = has − ib

|z₁ · z₂||z₁| · |z₂|

arg(z₁ · z₂)arg(z₁) + arg(z₂) [2π]

Sequences and differential equations

Sequence géométrique: Sₙu₀ × (1 − qⁿ)/(1 − q)

Sequence arithmétique: Sₙn × (u₁ + uₙ)/2

Equation differential there′ + ay = 0there = C·e^(−ax)

Equation differential there′ + ay = bthere = b/a + C·e^(−ax)

Physics and Chemistry

Mechanics — Cinématique and Dynamique

2ᵉ law of Newton∑F = m·has

Motion uniformément accéléré: v(t)v₀ + has·t

Position x(t)x₀ + v₀t + ½has·t²

Relation v² − v₀²2has·(x − x₀)

Energy kinetics Ec½mv²

Travail WF·of·cos α

Electricity — Circuits RC and RL

Law of OhmU = R·I

Charge condensateur q(t)Q(1 − e^(−t/τ)) with τ = RC

Energy condensateur Ec½Cu²

Energy bobine EL½Li²

Tension bobine u_LL·(di/dt)

Constante of temps τ (RL)L/R

Optics — Lois of the réfraction

Law of Snell-Descartesn₁ sin θ₁ = n₂ sin θ₂

Indice of réfraction nc / v (c = 3×10⁸ m/s)

Angle limit θ_limsin θ_lim = n₂/n₁ (n₁ > n₂)

Relation of conjugaison (lentille)1/OA′ − 1/OA = 1/f′

Grandissement γOA′/OA = Has′B′/AB

Thermodynamique

Equation of state gaz parfaitPV = nRT (R = 8,314 J·mol⁻¹·K⁻¹)

First principe ΔUW + Q

Transformation isothermeP₁V₁ = P₂V₂

Transformation isobare: W−P·ΔV

How mémoriser the formulas efficacement

Creates a fiche by thème — not mixture not the formulas of mechanics and of electricity.

Écris each formula 5 fois, puis ferme your fiche and réécris-the of memory.

Applique immediately the formula in a exercise — this is the répétition in contexte who ancre.

Associe each formula to a unit: if the units not concordent not in your answer, your formula is fausse.

Quelques days before the exam, fais a revision rapide of your fiches without regarder the formulas.

Frequently asked questions

Need-it mémoriser all the formulas before the Moroccan Bac?

Oui — at the Moroccan Bac, aucune feuille of formulas not is fournie. All the formulas utilisées in the resolution some exercises must be connues by cœur. The best way of the mémoriser not is not of the réciter, but of the use répétitivement in some exercises: each application consolide the memory of the formula.

How retenir the formulas of physics without the confondre?

The technique the more efficace is the analysis dimensionnelle: checks that the units some deux membres of the equation are cohérentes. Regroupe the formulas by thème on a fiche (mechanics, electricity, optics) and fais some exercises who mélangent several chapters — cela you oblige to identify the bonne formula in contexte, as on exam day.

Quels chapters of maths are the more important in Bac SM/PC?

In Bac Sciences Maths (SM), the chapters the more représentés are the analysis (dérivées, study of functions, intégrales), the differential equations, the complex numbers, the sequences and the probability. In PC, the analysis and the statistics are essentielles. These chapters concentrent generally more of 60 % some points.

Aide-Memory: All the Formulas Maths and Physics Bac Maroc (SM, PC)