Recherche PDF

First m ~a 2Ω (4) we consider a simplified method similar to the Feynman’s Therefore, from equation (4) one recognizes known types derivation of Maxwell equations from Lorentz force.

emploi3 UNIVERSITE DJILLALI LIABES FACULTE DES SCIENCES EXACTES DEPARTEMENT DES MATHEMATIQUES Groupe01 08:30 - 09:30 Dimanche Lundi Mardi Mercredi 09:35 - 10:35 10:40 - 11:40 11:45 - 12:45 3ième année mathématiques 3ième année mathématiques Equations Différentielles Cours Mesures et intégrations Cours Yahiaoui Amphi A1 Bourouba Amphi A1 Mesures et intégrations TD --- Bourouba C15 Introduction à l’analyse Hilbertienne TD Introduction à l’analyse Hilbertienne Cours Yahiaoui Amphi A1 Younes Amphi A1 Younes C17 16:05 - 17:05 --- Equations Différentielles Mesures et intégrations TD Equation de la physique mathématique TD Bourouba C11 Benyoub C14 --- 3ième année mathématiques --- Yahiaoui --- --- Optimisation sans contraintes TD Equation de la physique mathématique TD Equations Différentielles Optimisation sans contraintes TD Bourouba Amphi A1 Younes C17 Equations Différentielles Cours Younes C11 15:00 - 16:00 Mesures et intégrations Cours 3ième année mathématiques Introduction à l’analyse Hilbertienne TD 13:55 - 14:55 3ième année mathématiques 3ième année mathématiques Introduction à l’analyse Hilbertienne TD 12:50 - 13:50 Optimisation sans contraintes Cours Benyoub C11 Equation de la physique mathématique TD Mesures et intégrations TD Benyoub C14 Bourouba C15 Equations Différentielles Optimisation sans contraintes TD Benaissa A.

2249 – 8958, Volume-6, Issue-1, October 2016 Turbulent Functions and Solving the Navier-Stokes Equation by Fourier series M.

— EXERCICES FACULTATIFS — Exercice 10 Soit l’´equation en x, r´eel :

cours eq.differentielle Chapitre 1 ´ Equation diff´ erentielle 1.1 D´ efinitions.

Here offered method is founded by virtue of the solution of a homogeneous matrix equation by using of von Neumann pseudoinverse matrix.

• the heat equation which is a model for so called parabolic equations ∂t u − ∆u = 0 • the wave wave equation, which is a model for so called parabolic equations ∂t2 u − ∆u = 0 • Schr¨odinger equation which is a model for so called dispersive equation ∂t u i∆u = 0.

337 13 Vectors, Lines and Planes 13.1 Equation of a straight line Vector equation of a straight line In both two and three dimensions a line is described as passing through a fixed point and having a specific direction, or as passing through two fixed points.

16.1 Differential equations An equation which relates two variables and contains a differential coefficient is called a differential equation.

Exercice 3 On d´esigne par a et b les racines de l’´equation 2x2 − 14x 15 = 0.

r´esoudre dans R l’´equation √ x2 − 2x = x − 3.

Former une ´equation cart´esienne de la droite passant par le point A et dont V Construire la droite obtenue.

1.2.4 Conservation de la charge et ´equation de continuit´e .

39 39 40 41 42 43 43 44 44 46 47 50 51 transport equation Framework and basic properties .

6.2 Equation diff´erentielle du premier ordre .

After simplifying the resulting equation and completing the square, we arrive at the following equation:

2.1.4 Equation différentielle .

´ Equation homog` ene 1 On s’int´eresse pour l’instant ` a l’´equation diff´erentielle homog`ene (H) :

3=1 2 points $ Soit (e) l’´equation :

IBHM 035 057 2 Quadratic Equations, Functions and Inequalities The first reference to quadratic equations appears to be made by the Babylonians in 400 BC, even though they did not actually have the notion of an equation.

2π] l’´equation √ √  √ 4 sin(x)2 − 2 2 − 3 sin(x) − 6 = 0.

8[ I=R Exercice 4 Tangentes Pour chacune des fonctions suivantes, ´ecrire une ´equation de la tangente au point A d’abscisse a de la repr´esentation graphique de la fonction f .

1 R´ esoudre un probl` eme sans ´ equation 1.1 M´ ethode par essais successifs 1.2 M´ ethode arithm´ etique 1.3 A l’aide d’un sch´ ema 2 R´ esoudre une ´ equation Principe.

natural logarithmic functions logarithmic graphs, 112–14, 125–7 logarithms on calculators, 117–20 interpreting, 113 invention, 108 Napierian, 117 rules, 114–17 long division, algebraic, 100–3 lower tail, 657 magnitude, vectors, 309–10 Malthus, Thomas (1766–1834), 447 many–one functions, 58 mathematical induction, 509–27 early studies, 509 introduction, 510–16 method, 510–15 proofs, 516–21 matrices, 268–304 addition, 269–70 associativity, 274 augmented, 289 commutativity, 272–3 definitions, 269 determinants, 279–86 distributivity, 274–5 early studies, 268 equality, 269 identity, 273 multiplication, 271–2 non-singular, 279 operations, 269–78 post-multiplication, 273 pre-multiplication, 273 simultaneous equation solving, 287–302 singular, 279 subtraction, 269–70 zero, 273–4 see also inverse matrices maxima global, 196 local, 196, 246 maximum turning points, 195, 198 mean, 529, 532–3, 652 finding, 660–2 population, 549 sample, 549 median, 529, 532, 539, 549 continuous probability density functions, 647–9 Menelaus of Alexandria (c.70–140), 1 mid-interval values, 532 725 Index Mien, Juliusz (1842–1905), 337 minima global, 196 local, 196, 246 minimum turning points, 195, 198 modal class intervals, 532 mode, 529, 532 continuous probability density functions, 646–7 modulus, complex numbers, 488–92 modulus-argument form, complex numbers, 488–92 multiplication by i on Argand diagrams, 487–8 complex numbers, 477 imaginary numbers, 474–5 matrices, 271–2 vectors, 321–35 see also scalar multiplication Napier, John (1550–1617), 108, 117, 120 Napierian logarithms, 117 Napier’s analogies, 108 Napier’s bones, 108 natural base, 117–18, 217 natural logarithmic functions, 117–18, 217, 379 differentiation, 226–8 natural numbers, set of, 59 negative vectors, 311–12 nested schemes, 87 Newton, Sir Isaac (1643–1727), 108, 183, 187, 373, 473 Nine Chapters on the Mathematical Art (c.200–100 BC), 268 non-singular matrices, 279 normal distributions, 633–4, 652–60 applications, 662–5 and probability, 654–8 standard, 660 normals, equations of, 191–2 notation complex numbers, 488–93 decimal, 108 differential calculus, 187 factorial, 146–52 functional, 187, 217 functions, 59 geometrical, 187 integral, 387, 634 sequences, 131 sets, 562–3 sigma, 143–6, 387, 516, 531, 634 vectors, 306–7 nth term, 131 arithmetic sequences, 133 geometric sequences, 136 numbers irrational, 224 sets of, 59 see also complex numbers;