ask_1
of
Giovanni Nicco
is licensed under a
Creative Commons Attribution-ShareAlike 4.0 International License
.
Permissions beyond the scope of this license may be available at
giovanni.nicco@gmail.com
.
Speak
CLEAR WHAT
1) MATEMATICA DEL PRIMO ANNO DEL LICEO SCIENTIFICO 1] MATHEMATICS OF THE FIRST YEAR OF THE SCIENTIFIC HIGH SCHOOL 3) I NUMERI NATURALI 3] NATURAL NUMBERS 4) Che cosa sono i numeri naturali 4] What are natural numbers 5) Le quattro operazioni 5] The four operations 6) Le potenze 6] The powers 7) Le espressioni con i numeri naturali 7] Expressions with natural numbers 8) Le proprietà delle operazioni 8] The properties of operations 9) Le proprietà delle potenze 9] The properties of powers 10) I multipli e i divisori di un numero 10] The multiples and the divisors of a number 11) Il massimo comune divisore e il minimo comune 11] The maximum common divisor and the lowest common 12) I sistemi di numerazione 12] Numbering systems 14) I NUMERI INTERI 14] THE ENTIRE NUMBERS 15) Che cosa sono i numeri interi 15] What are the whole numbers 16) L'addizione e la sottrazione 16] Addition and subtraction 17) La moltiplicazione, la divisione e la potenza 17] Multiplication, division and power 18) Le leggi di monotonia 18] The laws of monotony 20) I NUMERI RAZIONALI E I NUMERI REALI 20] RATIONAL NUMBERS AND REAL NUMBERS 21) Dalle frazioni ai numeri razionali 21] From fractions to rational numbers 22) Il confronto di numeri razionali 22] The comparison of rational numbers 23) Le operazioni in Q 23] Operations in Q 24) Le potenze con esponente intero negativo 24] Powers with negative whole exponent 25) I numeri razionali e i numeri decimali 25] Rational numbers and decimal numbers 26) I numeri reali 26] Real numbers 27) Le frazioni e le proporzioni 27] Fractions and proportions 28) Le percentuali 28] Percentages 29) Il calcolo approssimato 29] The approximate calculation 30) La notazione scientifica e l'ordine di grandezza 30] Scientific notation and order of magnitude 32) GLI INSIEMI E LA LOGICA 32] THE SETS AND THE LOGIC 34) Che cosa è un insieme 34] What is a set 35) Gli elementi di un insieme 35] The elements of a set 36) insiemi N,Z,P,D,Q,R 36] sets N, Z, P, D, Q, R 37) Insieme vuoto 37] Empty set 38) Le rappresentazioni di un insieme 38] The representations of a whole 39) la rappresentazione grafica: i diagrammi di Eulero Venn 39] the graphic representation: the diagrams of Euler Venn 40) La rappresentazione per elencazione 40] Representation by list 41) I sottoinsiemi 41] The subsets 42) Uguaglianza tra insiemi 42] Equality between sets 43) L'inclusione tra insiemi 43] The inclusion between sets 44) L'inclusione stretta tra insiemi 44] The tight inclusion between sets 45) Sottoinsiemi propri ed impropri 45] Own and improper subsets 46) Le operazioni con gli insiemi 46] Operations with sets 47) La intersezioni tra insiemi 47] The intersections between sets 48) Insiemi disgiunti 48] Disjointed sets 49) L'unione tra insiemi 49] The union between sets 50) Proprietà dell'intersezione tra insiemi (tre proprietà) 50] Properties of intersection between sets (three properties] 51) Proprietà dell'unione tra insiemi (tre proprietà) 51] Properties of unity union (three properties] 52) Proprietà commutativa dell'intersezione 52] Commutative property of the intersection 53) Proprietà associativa dell'intersezione 53] Associative property of the intersection 54) Proprietà distributiva della intersezione rispetto alla unione 54] Distributive ownership of the intersection with respect to union 55) Proprietà commutativa dell'unione 55] Commutative properties of the union 56) Proprietà associativa dell'unione 56] Associative property of the union 57) Proprietà distributiva della unione rispetto alla intersezione 57] Distributive property of the union with respect to the intersection 58) Differenza tra insiemi 58] Difference between sets 59) L'insieme universo 59] The whole universe 60) L'insieme complementare di un insieme 60] The complementary set of a set 61) Il prodotto cartesiano tra insiemi 61] The Cartesian product between sets 62) La rappresentazione del prodotto cartesiano tra insiemi 62] The representation of the Cartesian product among sets 63) Non commutatività del prodotto cartesiano tra insiemi 63] Non-commutativity of the Cartesian product between sets 64) L'insieme delle parti 64] The whole of the parts 65) la partizione di un insieme 65] the partition of a whole 71) Le proposizioni logiche 71] The logical propositions 72) I connettivi logici e le espressioni 72] Logical connectives and expressions 73) Forme di ragionamento valide 73] Valid forms of reasoning 74) La logica e gli insiemi 74] Logic and sets 75) I quantificatori 75] The quantifiers 77) LE RELAZIONI E LE FUNZIONI 77] REPORTS AND FUNCTIONS 78) Le relazioni binarie 78] Binary relations 79) Le relazioni definite in un insieme e le loro proprietà 79] The relationships defined in a whole and their properties 80) Le relazioni di equivalenza 80] Equivalence relations 81) Le relazioni d'ordine 81] Order relations 82) Le funzioni 82] The functions 83) Le funzioni numeriche 83] The numerical functions 84) Il piano cartesiano e il grafico di una funzione 84] The Cartesian plane and the graph of a function 85) Particolari funzioni numeriche 85] Special numerical functions 86) Le funzioni circolari 86] The circular functions 88) I MONOMI 88] THE MONOMS 89) Che cosa sono i monomi 89] What are the monomials 90) Le operazioni con i monomi 90] Operations with monomials 91) Massimo comune divisore e minimo comune multiplo fra monomi 91] Maximum common divisor and least common multiple between monomials 94) I POLINOMI 94] THE POLYNOMES 95) Che cosa sono i polinomi 95] What are polynomials 96) Le operazioni con i polinomi 96] Operations with polynomials 97) I prodotti notevoli 97] The remarkable products 98) Le funzioni polinomiali 98] Polynomial functions 99) La divisione fra polinomi 99] The division between polynomials 100) La regola di Ruffini 100] Ruffini's rule 101) Il teorema del resto 101] The theorem of the rest 102) Il teorema di Ruffini 102] Ruffini's theorem 104) LA SCOMPOSIZIONE IN FATTORI 104] THE DECOMPOSITION IN FACTORS 105) La scomposizione in fattori dei polinomi Riepilogo: La scomposizione dei polinomi 105] The factor decomposition of the polynomials. Summary: The decomposition of the polynomials 106) Il MCD e il mcm fra polinomi 106] The MCD and the mcm between polynomials 108) LE FRAZIONI ALGEBRICHE 108] ALGEBRIAN FRACTIONS 109) Le frazioni algebriche 109] Algebraic fractions 110) Il calcolo con le frazioni algebriche 110] The calculation with the algebraic fractions 113) LE EQUAZIONI LINEARI 113] LINEAR EQUATIONS 114) Le identità 114] Identities 115) Le equazioni 115] The equations 116) I princìpi di equivalenza 116] The principles of equivalence 117) Le equazioni numeriche intere 117] The whole numerical equations 118) Equazioni e problemi 118] Equations and problems 119) Le equazioni fratte 119] The fract equations 120) Le equazioni letterali 120] The literal equations 122) LE DISEQUAZIONI LINEARI 122] LINEAR DISEQUATIONS 123) Le disuguaglianze numeriche Le disequazioni 123] Numerical inequalities. Inequalities 124) Le disequazioni intere 124] The whole inequalities 125) I sistemi di disequazioni 125] The systems of inequalities 126) Le equazioni con valori assoluti 126] Equations with absolute values 127) Le disequazioni con valori assoluti Lo studio del segno di un prodotto 127] Inequalities with absolute values The study of the sign of a product 128) Le disequazioni fratte 128] The inequalities broken 130) ELEMENTI DI INFORMATICA 130] ITEMS OF INFORMATICS 131) Numeri e informazione digitale 131] Numbers and digital information 132) Problemi e algoritmi 132] Problems and algorithms 133) Programmare con Python 133] Program with Python 135) INTRODUZIONE ALLA STATISTICA 135] INTRODUCTION TO STATISTICS 136) I dati statistici 136] Statistical data 137) La rappresentazione grafica dei dati 137] The graphical representation of the data 138) Gli indici di posizione centrale 138] The central position indices 139) Gli indici di variabilità 139] Variability indices 141) LA GEOMETRIA DEL PIANO 141] THE GEOMETRY OF THE PLAN 142) Oggetti geometrici e proprietà 142] Geometrical objects and properties 143) I postulati di appartenenza e d'ordine 143] The postulates of belonging and of order 144) Gli enti fondamentali 144] The fundamental bodies 145) Le operazioni con i segmenti e con gli angoli Figure e dimostrazioni 145] Operations with segments and angles Figures and demonstrations 146) Lunghezze, ampiezze, misure 146] Lengths, widths, measurements 148) I TRIANGOLI 148] THE TRIANGLES 149) Prime definizioni sui triangoli 149] First definitions on the triangles 150) Il primo criterio di congruenza 150] The first congruence criterion 151) Il secondo criterio di congruenza 151] The second criterion of congruence 152) Le proprietà del triangolo isoscele 152] The properties of the isosceles triangle 153) Il terzo criterio di congruenza; Criteri di congruenza e triangoli isosceli ed equilateri 153] The third congruence criterion; Congruence criteria and isosceles and equilateral triangles 154) Le disuguaglianze nei triangoli 154] Inequalities in triangles 157) PERPENDICOLARI E PARALLELE 157] PERPENDICULARS AND PARALLEL 158) Le rette perpendicolari 158] Perpendicular straight lines 159) Le rette parallele 159] The parallel lines 160) Le proprietà degli angoli dei poligoni 160] The properties of the angles of the polygons 161) I criteri di congruenza dei triangoli rettangoli 161] The congruence criteria of the rectangle triangles 163) I PARALLELOGRAMMI E I TRAPEZI 163] PARALLELOGRAMS AND TRAPSES 164) Il parallelogramma 164] The parallelogram 165) Il rettangolo 165] The rectangle 166) Il rombo 166] The rhombus 167) Il quadrato 167] The square 168) Il trapezio 168] The trapezium 169) Le corrispondenze in un fascio di rette parallele 169] The correspondences in a bundle of parallel lines 171) MATEMATICA DEL SECONDO ANNO DEL LICEO SCIENTIFICO 171] MATHEMATICS OF THE SECOND YEAR OF THE SCIENTIFIC HIGH SCHOOL 173) I SISTEMI LINEARI 173] LINEAR SYSTEMS 174) I sistemi di due equazioni in due incognite 174] The systems of two equations in two unknowns 175) Il metodo di sostituzione 175] The method of substitution 176) I sistemi determinati, impossibili, indeterminati 176] The determined, impossible, indeterminate systems 177) Il metodo del confronto 177] The method of comparison 178) Il metodo di riduzione 178] The reduction method 179) Le matrici e i determinanti 179] The matrices and the determinants 180) Il metodo di Cramer 180] The Cramer method 181) I sistemi di tre equazioni in tre incognite 181] The systems of three equations in three unknowns 182) I sistemi letterali e fratti 182] Literal systems and fracts 183) Sistemi lineari e problemi 183] Linear systems and problems 186) I RADICALI 186] THE RADICALS 187) I numeri reali 187] The real numbers 188) Le radici quadrate e le radici cubiche 188] The square roots and the cubic roots 189) La radice ennesima 189] The nth root 190) La semplificazione e il confronto di radicali 190] Simplification and comparison of radicals 192) LE OPERAZIONI CON I RADICALI 192] THE OPERATIONS WITH THE RADICALS 193) La moltiplicazione e la divisione di radicali 193] The multiplication and division of roots 194) Il trasporto di un fattore fuori o dentro il segno di radice 194] The transport of a factor outside or within the root sign 195) La potenza e la radice di un radicale 195] The power and root of a radical 196) L'addizione e la sottrazione di radicali 196] The addition and the subtraction of radicals 197) La razionalizzazione del denominatore di una frazione 197] The rationalization of the denominator of a fraction 200) IL PIANO CARTESIANO E LA RETTA 200] THE CARTHESIAN PLAN AND THE RIGHT 201) I punti e i segmenti 201] Points and segments 202) La distanza fra due punti e il punto medio 202] The distance between two points and the midpoint 203) L'equazione di una retta passante per l'origine 203] The equation of a line passing through the origin 204) L'equazione generale della retta 204] The general equation of the line 205) Le rette e i sistemi lineari 205] Straight lines and linear systems 206) Le rette parallele e le rette perpendicolari 206] Parallel lines and perpendicular lines 207) I fasci di rette 207] The bundles of lines 208) Come determinare l'equazione di una retta 208] How to determine the equation of a line 209) La distanza di un punto da una retta 209] The distance of a point from a line 210) Le parti del piano e della retta 210] The parts of the plane and of the line 212) LE EQUAZIONI DI SECONDO GRADO E LA PARABOLA 212] THE EQUATIONS OF SECOND GRADE AND THE PARABOLA 213) Le equazioni di secondo grado: definizioni 213] Second degree equations: definitions 214) La risoluzione di un'equazione di secondo grado 214] The resolution of a second-order equation 215) Le equazioni numeriche intere 215] The whole numerical equations 216) La funzione quadratica e la parabola 216] The quadratic function and the parabola 217) Le relazioni fra le radici e i coefficienti 217] Relations between roots and coefficients 218) La regola di Cartesio 218] The rule of Descartes 219) La scomposizione di un trinomio di secondo grado 219] The decomposition of a trinomial of second degree 220) Le equazioni di secondo grado e i problemi 220] Second degree equations and problems 222) LE APPLICAZIONI DELLE EQUAZIONI DI SECONDO GRADO 222] THE APPLICATIONS OF SECOND GRADE EQUATIONS 223) Le equazioni fratte e letterali 223] Fractal and literal equations 224) Le equazioni e i problemi 224] Equations and problems 225) Le equazioni parametriche di secondo grado 225] The second degree parametric equations 226) Le equazioni di grado superiore al secondo 226] The equations of degree superior to the second 228) I SISTEMI DI SECONDO GRADO E GRADO SUPERIORE 228] THE SYSTEMS OF SECOND GRADE AND SUPERIOR GRADE 229) I sistemi di secondo grado 229] Second-degree systems 230) L'interpretazione grafica dei sistemi di secondo grado 230] The graphic interpretation of the second degree systems 231) I sistemi di grado superiore al secondo 231] Systems of higher degree per second 232) Problemi con i sistemi di grado superiore al secondo 232] Problems with systems of higher degree per second 234) LE DISEQUAZIONI DI SECONDO GRADO E GRADO SUPERIORE 234] THE DISEQUATIONS OF SECOND GRADE AND HIGHER GRADE 235) Le disequazioni lineari 235] Linear inequalities 236) Il segno delle disequazioni di secondo grado intere 236] The sign of inequalities of second degree 237) La risoluzione delle disequazioni di secondo grado intere 237] The resolution of second degree inequalities whole 238) Le disequazioni intere di grado superiore al secondo 238] The whole inequalities of degree superior to the second 239) Le disequazioni fratte 239] The inequalities broken 240) I sistemi di disequazioni 240] The systems of inequalities 241) I problemi con le disequazioni 241] Problems with inequalities 243) APPLICAZIONI DELLE DISEQUAZIONI 243] APPLICATIONS OF DISEQUATIONS 244) Le equazioni parametriche 244] Parametric equations 245) Le equazioni irrazionali 245] Irrational equations 246) Le disequazioni irrazionali 246] Irrational inequalities 247) Le equazioni con valori assoluti 247] Equations with absolute values 248) Le disequazioni con valori assoluti 248] Inequalities with absolute values 249) I grafici di funzioni con valori assoluti 249] Graphs of functions with absolute values 251) INTRODUZIONE ALLA PROBABILITÀ 251] INTRODUCTION TO PROBABILITY 252) Gli eventi e lo spazio campionario 252] Events and sample space 253) La definizione classica di probabilità 253] The classical definition of probability 254) Le operazioni con gli eventi 254] Operations with events 255) I teoremi relativi al calcolo delle probabilità 255] The theorems related to the calculation of probabilities 256) Altre definizioni di probabilità 256] Other definitions of probability 258) LA CIRCONFERENZA 258] THE CIRCUMFERENCE 259) I luoghi geometrici 259] Geometric places 260) La circonferenza e il cerchio 260] The circumference and the circle 261) I teoremi sulle corde 261] The theorems on the ropes 262) Le circonferenze e le rette 262] Circumferences and straight lines 263) Le posizioni reciproche fra due circonferenze 263] The mutual positions between two circumferences 264) Gli angoli alla circonferenza 264] The angles at the circumference 266) I POLIGONI INSCRITTI E CIRCOSCRITTI 266] THE INSIGNED AND CIRCUMMITTED POLIGONES 267) I poligoni inscritti 267] Inscribed polygons 268) I poligoni circoscritti 268] The circumscribed polygons 269) I triangoli e i punti notevoli 269] The triangles and the remarkable points 270) I quadrilateri inscritti e circoscritti 270] The inscribed and circumscribed quadrilaterals 271) I poligoni regolari 271] Regular polygons 273) LE SUPERFICI EQUIVALENTI E LE AREE 273] EQUIVALENT SURFACES AND AREAS 274) L'equivalenza di superfici 274] The equivalence of surfaces 275) L'equivalenza di parallelogrammi 275] The equivalence of parallelograms 276) I triangoli e l'equivalenza 276] Triangles and equivalence 277) L'equivalenza fra un poligono circoscritto e un triangolo 277] The equivalence between a circumscribed polygon and a triangle 278) La costruzione di poligoni equivalenti 278] The construction of equivalent polygons 279) La misura delle aree dei poligoni 279] The measurement of polygon areas 281) I TEOREMI DI EUCLIDE E DI PITAGORA 281] THE THEOREMS OF EUCLIDE AND PITAGORA 282) Il primo teorema di Euclide 282] The first theorem of Euclid 283) Il teorema di Pitagora 283] The theorem of Pythagoras 284) Applicazioni del teorema di Pitagora 284] Applications of the Pythagorean theorem 285) Il secondo teorema di Euclide 285] The second theorem of Euclid 287) LA PROPORZIONALITÀ 287] PROPORTIONALITY 288) Le grandezze geometriche 288] The geometrical quantities 289) Le grandezze commensurabili e incommensurabili 289] Commeasurable and immeasurable quantities 291) LA SIMILITUDINE 291] SIMILITUDE 292) La similitudine e i triangoli 292] Similarity and triangles 293) I criteri di similitudine dei triangoli 293] The criteria of similitude of the triangles 294) La similitudine e i teoremi di Euclide 294] The similarity and the theorems of Euclid 295) La similitudine e i poligoni 295] Similarity and polygons 296) La similitudine e la circonferenza 296] Similarity and circumference 297) La sezione aurea e le sue applicazioni 297] The golden section and its applications 298) La lunghezza della circonferenza e l'area del cerchio 298] The length of the circumference and the area of the circle 300) LE TRASFORMAZIONI GEOMETRICHE 300] GEOMETRIC TRANSFORMATIONS 301) Le trasformazioni geometriche e le isometrie 301] Geometric transformations and isometries 302) La traslazione 302] The translation 303) La rotazione 303] The rotation 304) La simmetria centrale 304] Central symmetry 305) La simmetria assiale 305] Axial symmetry 306) Una trasformazione non isometrica: l'omotetia 306] A non-isometric transformation: homothetia 308) MATEMATICA DEL TERZO ANNO DEL LICEO SCIENTIFICO 308] MATHEMATICS OF THE THIRD YEAR OF THE SCIENTIFIC HIGH SCHOOL 310) EQUAZIONI E DISEQUAZIONI 310] EQUATIONS AND DISEQUATIONS 311) Disequazioni e princìpi di equivalenza 311] Inequalities and principles of equivalence 312) Disequazioni di primo grado 312] First degree inequalities 313) Disequazioni di secondo grado 313] Second degree inequalities 314) Disequazioni di secondo grado intere 314] Complete second-order inequalities 315) Disequazioni di grado superiore al secondo 315] Inequalities of degree superior to the second 316) Disequazioni fratte 316] Fractions inequations 317) Sistemi di disequazioni 317] Systems of inequalities 318) Equazioni e disequazioni con valori assoluti 318] Equations and inequalities with absolute values 319) Equazioni e disequazioni irrazionali 319] Irrational equations and inequalities 321) FUNZIONI 321] FUNCTIONS 322) Funzioni e loro caratteristiche 322] Functions and their characteristics 323) Funzioni iniettive, suriettive e biunivoche 323] Injective, surjective and biunique functions 324) Funzione inversa 324] Inverse function 325) Proprietà delle funzioni 325] Properties of the functions 326) Funzioni composte 326] Composite functions 327) Trasformazioni geometriche e grafici 327] Geometric and graphical transformations 329) SUCCESSIONI E PROGRESSIONI 329] SUCCESSIONS AND PROGRESSIONS 330) Successioni numeriche 330] Numerical sequences 331) Principio di induzione 331] Principle of induction 332) Progressioni aritmetiche 332] Arithmetic progressions 333) Progressioni geometriche 333] Geometric progressions 335) PIANO CARTESIANO E RETTA 335] CARTHESIAN AND RIGHT PLAN 336) Coordinate nel piano 336] Coordinates in the plan 337) Lunghezza di un segmento 337] Length of a segment 338) Punto medio di un segmento, baricentro di un triangolo 338] Average point of a segment, the center of gravity of a triangle 339) Rette parallele e rette perpendicolari 339] Parallel lines and perpendicular lines 340) Distanza di un punto da una retta 340] Distance of a point from a line 341) Luoghi geometrici e retta 341] Geometric and straight places 342) Fasci di rette 342] Bundles of lines 343) Problemi con le rette 343] Problems with straight lines 345) PARABOLA 345] PARABOLA 346) Parabola e sua equazione 346] Parable and its equation 347) Parabola con asse parallelo all'asse x Parabola e funzioni 347] Parabola with axis parallel to the x axis Parabola and functions 348) Parabola e trasformazioni geometriche 348] Parabola and geometric transformations 349) Rette e parabole 349] Lines and parables 350) Determinare l'equazione di una parabola 350] Determine the equation of a parabola 351) Ricerca dell'equazione di una parabola 351] Search for the equation of a parabola 352) Fasci di parabole 352] Bundles of parables 354) CIRCONFERENZA 354] CIRCUMFERENCE 355) Circonferenza e sua equazione 355] Circumference and its equation 356) Rette e circonferenze 356] Lines and circumferences 357) Determinare l'equazione di una circonferenza 357] Determine the equation of a circle 358) Posizione di due circonferenze 358] Position of two circumferences 359) Fasci di circonferenze 359] Bundles of circumferences 361) ELLISSE 361] ELLIPSE 362) Ellisse e sua equazione 362] Ellipse and its equation 363) Ellissi e rette 363] Ellipses and straight lines 364) Determinare l'equazione di un'ellisse 364] Determine the equation of an ellipse 365) Ellisse e trasformazioni geometriche 365] Ellipse and geometric transformations 367) IPERBOLE 367] IPERBOLE 368) Iperbole e sua equazione 368] Hyperbole and its equation 369) Iperboli e rette 369] Hyperboles and straight lines 370) Determinare l'equazione di un'iperbole 370] Determine the equation of a hyperbola 371) Iperbole traslata 371] Translated hyperbole 372) Iperbole equilatera 372] equilateral hyperbole 374) CONICHE 374] CONICAL 375) Definizione di una conica mediante l'eccentricità 375] Definition of a conic with eccentricity 376) Disequazioni di secondo grado in due incognite 376] Second degree inequalities in two unknowns 377) Coniche e problemi geometrici 377] Conics and geometric problems 379) MATEMATICA DEL QUARTO ANNO DEL LICEO SCIENTIFICO 379] MATHEMATICS OF THE FOURTH YEAR OF THE SCIENTIFIC HIGH SCHOOL 381) ESPONENZIALI 381] EXPONENTIALS 382) Potenze con esponente reale 382] Powers with real exponent 383) Funzione esponenziale 383] Exponential function 384) Equazioni esponenziali 384] Exponential equations 385) Disequazioni esponenziali 385] Exponential inequalities 387) LOGARITMI 387] LOGARITMS 388) Definizione di logaritmo 388] Definition of logarithm 389) Proprietà dei logaritmi 389] Properties of logarithms 390) Funzione logaritmica 390] Logarithmic function 391) Equazioni logaritmiche 391] Logarithmic equations 392) Equazioni logaritmiche 392] Logarithmic equations 393) Disequazioni logaritmiche 393] Logarithmic inequalities 394) Disequazioni logaritmiche 394] Logarithmic inequalities 395) Logaritmi ed equazioni e disequazioni esponenziali 395] Logarithms and exponential equations and inequalities 396) Dominio e segno di funzioni con esponenziali e logaritmi 396] Domain and sign of functions with exponentials and logarithms 397) Equazioni e disequazioni logaritmiche risolvibili solo graficamente 397] Logarithmic equations and inequalities that can be solved only graphically 398) Coordinate logaritmiche e semilogaritmiche 398] Logarithmic and semilogarithmic coordinates 400) STATISTICA UNIVARIATA 400] UNIVARY STATISTICS 401) Dati statistici 401] Statistical data 402) Indici di posizione e variabilità 402] Indexes of position and variability 403) Distribuzione gaussiana 403] Gaussian distribution 404) Rapporti statistici 404] Statistical reports 405) Efficacia, efficienza, qualità 405] Effectiveness, efficiency, quality 406) Indicatori di efficacia, efficienza, qualità 406] Indicators of effectiveness, efficiency and quality 407) Rapporti e indicatori 407] Reports and indicators 409) STATISTICA BIVARIATA 409] BIVARY STATISTICS 410) Introduzione alla statistica bivariata 410] Introduction to bivariate statistics 411) Regressione 411] Regression 412) Correlazione 412] Correlation 414) COORDINATE POLARI NEL PIANO 414] POLAR COORDINATES IN THE PLAN 415) Coordinate polari 415] Polar coordinates 416) Equazioni delle curve 416] Equations of the curves 417) Moto circolare uniforme 417] Uniform circular motion 419) CALCOLO APPROSSIMATO 419] APPROXIMATE CALCULATION 420) Le approssimazioni 420] The approximations 421) La propagazione degli errori 421] The propagation of errors 423) VETTORI 423] VECTORS 424) Vettori nel piano 424] Vectors in the plane 425) Vettori linearmente dipendenti e indipendenti 425] Linearly dependent and independent vectors 426) Prodotto scalare e prodotto vettoriale 426] Scalar product and vector product 427) Rappresentazione cartesiana dei vettori 427] Cartesian representation of the vectors 429) MATRICI E DETERMINANTI 429] MATRICES AND DETERMINANTS 430) Matrici 430] Matrices 431) Matrici quadrate 431] Square matrices 432) Operazioni con le matrici 432] Working with matrices 433) Determinanti 433] Determinants 434) Proprietà dei determinanti 434] Properties of the determinants 435) Rango 435] Rank 436) Matrice inversa 436] Inverse matrix 437) Alcune applicazioni delle matrici e determinanti 437] Some applications of matrices and determinants 439) SISTEMI DI EQUAZIONI LINEARI 439] SYSTEMS OF LINE EQUATIONS 440) Che cosa sono i sistemi lineari 440] What are linear systems 441) Metodo della matrice inversa 441] Method of the inverse matrix 442) La regola di Cramer 442] Cramer's rule 443) Metodo di riduzione 443] Reduction method 444) Teorema di Rouché - Capelli 444] Rouché Theorem - Hair 445) Sistemi lineari omogenei di n equazioni in n incognite 445] Homogeneous linear systems of n equations in n unknowns 447) SEZIONI CONICHE: IL PUNTO DI VISTA SINTETICO 447] CONICAL SECTIONS: THE SYNTHETIC VIEW POINT 448) I teoremi di Dandelin 448] The theorems of Dandelin 449) Il segmento parabolico 449] The parabolic segment 451) VELOCITÀ DI VARIAZIONE DI UNA GRANDEZZA 451] VELOCITY OF VARIATION OF A SIZE 452) Velocità media e istantanea di variazione 452] Average and instant variation speed 457) FUNZIONI GONIOMETRICHE 457] GONIOMETRIC FUNCTIONS 458) Misura degli angoli 458] Measurement of the angles 459) Funzioni seno e coseno 459] Sine and cosine functions 460) Funzione tangente 460] Tangent function 461) Funzioni secante e cosecante 461] Secant and cosecant functions 462) Funzione cotangente 462] Cotangent function 463) Funzioni goniometriche di angoli particolari 463] Goniometric functions of particular angles 464) Angoli associati 464] Associated corners 465) Funzioni goniometriche inverse 465] Inverse goniometric functions 466) Funzioni goniometriche e trasformazioni geometriche 466] Goniometric functions and geometrical transformations 468) FORMULE GONIOMETRICHE 468] GONIOMETRIC FORMULAS 469) Formule di addizione e sottrazione 469] Formulas of addition and subtraction 470) Formule di duplicazione 470] Duplication formulas 471) Formule di bisezione 471] Bisection formulas 472) Formule parametriche 472] Parametric formulas 473) Formule di prostaferesi e di Werner 473] Prostaferesis and Werner formulas 475) EQUAZIONI E DISEQUAZIONI GONIOMETRICHE 475] GONIOMETRIC EQUATIONS AND DISEQUATIONS 476) Equazioni goniometriche elementari 476] Elementary goniometric equations 477) Equazioni lineari in seno e coseno 477] Linear equations in sine and cosine 478) Equazioni omogenee di secondo grado in seno e coseno 478] Homogeneous second-degree equations in the sine and cosine 479) Sistemi di equazioni goniometriche 479] Systems of goniometric equations 480) Disequazioni goniometriche 480] Goniometric inequalities 482) TRIGONOMETRIA 482] TRIGONOMETRY 483) Triangoli rettangoli 483] Rectangle triangles 484) Applicazioni dei teoremi sui triangoli rettangoli 484] Applications of theorems on rectangle triangles 485) Triangoli qualunque 485] Any triangle 486) Applicazioni alla trigonometria 486] Applications to trigonometry 487) Teorema del coseno 487] Cosine theorem 489) NUMERI COMPLESSI 489] COMPLEX NUMBERS 490) Forma algebrica dei numeri complessi 490] Algebraic form of complex numbers 491) Operazioni con i numeri immaginari 491] Operations with imaginary numbers 492) Operazioni con i numeri complessi in forma algebrica 492] Operations with complex numbers in algebraic form 493) Rappresentazione algebrica dei numeri complessi 493] Algebraic representation of complex numbers 494) Forma trigonometrica di un numero complesso 494] Trigonometric form of a complex number 495) Operazioni fra numeri complessi in forma trigonometrica 495] Operations between complex numbers in trigonometric form 496) Radici n-esime dell'unità 496] Roots n-esime of the unit 499) VETTORI, MATRICI, DETERMINANTI 499] CARRIERS, MATRICES, DETERMINANTS 500) Vettori nel piano 500] Vectors in the plane 501) Vettori nel piano cartesiano 501] Vectors in the Cartesian plane 502) Matrici 502] Matrices 503) Operazioni con le matrici 503] Operations with matrices 504) Determinanti 504] Determinants 505) Matrice inversa 505] Inverse matrix 506) Matrici e geometria analitica 506] Arrays and analytic geometry 508) TRASFORMAZIONI GEOMETRICHE 508] GEOMETRIC TRANSFORMATIONS 509) Traslazione 509] Translation 510) Rotazione 510] Rotation 511) Simmetria centrale 511] Central symmetry 512) Simmetria assiale 512] Axial symmetry 513) Isometrie 513] Isometries 514) Omotetia 514] Homothetia 515) Similitudine 515] Similarity 516) Affinità 516] Affinity 518) GEOMETRIA EUCLIDEA NELLO SPAZIO 518] EUCLIDEA GEOMETRY IN SPACE 519) Punti, rette, piani nello spazio 519] Points, lines, planes in space 520) Perpendicolarità e parallelismo 520] Perpendicularity and parallelism 521) Distanze e angoli nello spazio 521] Distances and angles in space 522) Trasformazioni geometriche 522] Geometric transformations 523) Poliedri 523] Polyhedra 524) Solidi di rotazione 524] Rotation solids 525) Aree dei solidi 525] Areas of solids 526) Estensione ed equivalenza dei solidi 526] Extension and equivalence of solids 527) Volumi dei solidi 527] Volumes of solids 529) GEOMETRIA ANALITICA NELLO SPAZIO 529] ANALYTICAL GEOMETRY IN SPACE 530) Coordinate nello spazio 530] Coordinates in space 531) Vettori nello spazio 531] Vectors in space 532) Piano e sua equazione 532] Plan and its equation 533) Retta e sua equazione 533] Straight line and its equation 534) Posizione reciproca di una retta e un piano 534] Mutual position of a line and a plane 535) Alcune superfici notevoli 535] Some remarkable surfaces 537) CALCOLO COMBINATORIO 537] COMBINATION CALCULATION 538) Che cos'è il calcolo combinatorio 538] What is the combinatorial calculation 539) Disposizioni 539] Disposition 540) Permutazioni 540] Permutations 541) Combinazioni 541] Combinations 542) Binomio di Newton 542] Binomial of Newton 544) PROBABILITÀ 544] PROBABILITY 545) Eventi 545] Events 546) Concezione classica della probabilità 546] Classical conception of probability 547) Somma logica di eventi 547] Sum logic of events 548) Probabilità condizionata 548] Conditional probability 549) Prodotto logico di eventi 549] Logical product of events 550) Teorema di Bayes 550] Bayes theorem 551) Concezione statistica della probabilità 551] Statistical conception of probability 552) Concezione soggettiva della probabilità 552] Subjective conception of probability 553) Impostazione assiomatica della probabilità 553] Axiomatic setting of probability 555) COORDINATE POLARI NEL PIANO 555] POLAR COORDINATES IN THE PLAN 556) Coordinate polari 556] Polar coordinates 557) Equazioni delle curve 557] Equations of the curves 558) Moto circolare uniforme 558] Uniform circular motion 560) NUMERI TRASCENDENTI 560] TRANSCENDING NUMBERS 561) Numeri razionali e numeri irrazionali 561] Rational numbers and irrational numbers 562) Numeri algebrici e numeri trascendenti 562] Algebraic numbers and transcendental numbers 564) NUMERO DELLE SOLUZIONI DI UNA EQUAZIONE POLINOMIALE 564] NUMBER OF SOLUTIONS OF A POLINOMIAL EQUATION 566) LINGUAGGiO E RAGIONAMENTO IN MATEMATICA 566] LANGUAGE AND REASONMENT IN MATHEMATICS 569) MATEMATICA DEL QUINTO ANNO DEL LICEO SCIENTIFICO 569] MATHEMATICS OF THE FIFTH YEAR OF THE SCIENTIFIC HIGH SCHOOL 572) FUNZIONI E LORO PROPRIETÀ 572] FUNCTIONS AND THEIR PROPERTIES 573) Funzioni reali di variabile reale 573] Real functions of real variable 574) Dominio di una funzione 574] Domain of a function 575) Proprietà delle funzioni 575] Properties of the functions 576) Funzione inversa 576] Inverse function 577) Funzione composta 577] Composed function 579) LIMITI DI FUNZIONI 579] FUNCTIONS LIMITS 580) Insiemi di numeri reali 580] Sets of real numbers 581) limiti finiti per x che tende ad un valore finito 581] finite limits for x which tends to a finite value 582) limiti infiniti per x che tende ad un valore finito 582] infinite limits for x which tends to a finite value 583) limiti finiti per x che tende ad un valore infinito 583] finite limits for x which tends to an infinite value 584) limiti infiniti per x che tende ad un valore infinito 584] infinite limits for x which tends to an infinite value 585) Primi teoremi sui limiti 585] First theorems on limits 587) CALCOLO DEI LIMITI E CONTINUITÀ DELLE FUNZIONI 587] CALCULATION OF LIMITS AND FUNCTIONS CONTINUITY 588) Operazioni sui limiti 588] Limit operations 589) Forme indeterminate 589] Indefinite forms 590) Limiti notevoli 590] Notable limits 591) Calcolo dei limiti 591] Calculation of limits 592) Infinitesimi, infiniti e loro confronto 592] Infinitesimal, infinite and their comparison 593) Funzioni continue 593] Continuous functions 594) Teoremi sulle funzioni continue 594] Theorems on continuous functions 595) Punti di discontinuità di una funzione 595] Points of discontinuity of a function 596) Asintoti 596] Asymptotes 597) Ricerca degli asintoti 597] Search for asymptotes 598) Grafico probabile di una funzione 598] Probable graph of a function 600) SUCCESSIONI E SERIE 600] SUCCESSIONS AND SERIES 601) Successioni numeriche 601] Numerical sequences 602) Progressioni 602] Progressions 603) Alcune proprietà delle successioni 603] Some properties of sequences 604) Limite di una successione 604] Limit of a succession 605) Calcolo del limite di una successione 605] Calculation of the limit of a succession 606) Principio di induzione 606] Principle of induction 607) Che cos'è una serie 607] What is a series? 608) Serie convergenti, divergenti, indeterminate 608] Convergent, divergent, indeterminate series 610) DERIVATE 610] DERIVATE 611) Derivata di una funzione 611] Derivative of a function 612) Derivate fondamentali, 612] Basic derivatives, 613) Operazioni con le derivate 613] Operations with derivatives 614) Derivata di una funzione composta 614] Derivative of a compound function 615) Derivata di [f(x)]^g(x) 615] Derivative of [f (x]] ^ g (x] 617) TEOREMI DEL CALCOLO DIFFERENZIALE 617] THEOREMS OF DIFFERENTIAL CALCULATION 618) Teorema di Rolle 618] Rolle's theorem 619) Teorema di Lagrange 619] Lagrange theorem 620) Conseguenze del teorema di Lagrange 620] Consequences of the Lagrange theorem 621) Teorema di Cauchy 621] Cauchy's theorem 622) Teorema di De l'Hospìtal 622] De l'Hospìtal theorem 624) MASSIMI, MINIMI E FLESSI 624] MAXIMUM, MINIMUM AND FLEXI 625) Definizioni 625] Definitions 626) Massimi, minimi, flessi orizzontali e derivata prima 626] Maximum, minimum, horizontal flexion and first derivative 627) Flessi e derivata seconda 627] Bending and second derivative 628) Massimi, minimi, flessi e derivate successive 628] Maximum, minimum, inflected and subsequent derivatives 629) Problemi di ottimizzazione 629] Optimization problems 631) STUDIO DELLE FUNZIONI 631] FUNCTION STUDIES 632) Studio di una funzione 632] Study of a function 633) Grafici di una funzione e della sua derivata 633] Graphs of a function and its derivative 634) Applicazioni dello studio di una funzione 634] Applications of the study of a function 635) Risoluzione approssimata di un'equazione 635] Approximate resolution of an equation 637) INTEGRALI INDEFINITI 637] INDEFINITE INTEGRALS 638) Integrali indefiniti immediati 638] Immediate indefinite integrals 639) Integrazione per sostituzione 639] Integration by substitution 640) Integrazione per parti 640] Integration by parts 641) Integrazione di funzioni razionali fratte 641] Integration of rational rational functions 643) INTEGRALI· DEFINITI 643] INTEGRAL · DEFINED 644) Teorema fondamentale del calcolo integrale 644] Fundamental theorem of integral calculus 645) Calcolo delle aree 645] Calculation of areas 646) Calcolo dei volumi 646] Calculation of volumes 647) Volume di un solido di rotazione 647] Volume of a rotation solid 648) Integrali impropri 648] Improper integrals 649) Applicazioni degli integrali alla fisica 649] Applications of integrals to physics 650) Integrazione numerica 650] Numerical integration 652) EQUAZIONI DIFFERENZIALI 652] DIFFERENTIAL EQUATIONS 653) Che cos'è un'equazione differenziale 653] What is a differential equation 654) Equazioni differenziali del primo ordine 654] Differential equations of the first order 655) Equazioni differenziali del secondo ordine 655] Second order differential equations 656) Equazioni differenziali e fisica 656] Differential and physical equations 658) DISTRIBUZIONI DI PROBABILITÀ 658] PROBABILITY DISTRIBUTIONS 659) Variabili casuali discrete e distribuzioni di probabilità 659] Discrete random variables and probability distributions 660) Valori caratterizzanti una variabile casuale discreta 660] Values characterizing a discrete random variable 661) Distribuzioni di probabilità di uso frequente 661] Distributions of probability of frequent use 662) Giochi aleatori 662] Random games 663) Variabili casuali standardizzate 663] Standardized random variables 664) Variabili casuali continue 664] Continuous random variables 666) NUMERO DELLE SOLUZIONI DI UN'EQUAZIONE POLINOMIALE 666] NUMBER OF SOLUTIONS OF A POLINOMIAL EQUATION 667) Funzioni ed equazioni polinomiali 667] Functions and polynomial equations 668) Calcolo approssimato di una soluzione 668] Approximate calculation of a solution 670) LINGUAGGIO E RAGIONAMENTO IN MATEMATICA 670] LANGUAGE AND REASONMENT IN MATHEMATICS 671) Dimostrazioni e schemi di ragionamento 671] Demonstrations and patterns of reasoning 672) Validità degli schemi di ragionamento 672] Validity of reasoning schemes 674) GEOMETRIE E FONDAMENTI 674] GEOMETRIES AND FUNDAMENTALS 675) Elementi di Euclide 675] Elements of Euclid 676) Geometrie non euclidee 676] Non-Euclidean Geometries 677) Fondamenti della matematica 677] Foundations of mathematics
CLEAN WHERE
WHERE
http://www.mathwords.com GeoGebra WolframAlpha filetype ppt filetype odp filetype pdf Lezione Esperimento TRECCANI Padlet Immagine Esercizi risolti Wikipedia Mappa concettuale Geogebra scelta multipla crash courses veritasium Walter Lewin minutephysics example exercise 7activestudio
SEARCH
inequalities Fractional inequalities Set of solutions of inequalities Whole inequalities Literal inequalities Parametric inequalities Equivalent inequalities Open range Closed interval Unlimited interval Limited range Equivalence principles for inequalities First degree inequalities Second degree inequalities Second degree inequalities Degree of inequality Model of the parable Resolution of a second degree inequality A sign of a second degree trinity Whole inequalities higher than the second Monomestic inequalities Binomial inequalities Trinomial inequalities Fractional inequalities System of inequalities Irrational inequalities Irrational equation Irrational inequalities absolute value Equation with absolute values Inequalities with absolute values report controimmagine An analytic expression of a function functions Actual real variable functions Image set Image element codomain domain Algebraic functions Field of existence of a function Fractional functions Full functions Irrational functions Rational functions Transcendent functions Definition set Dependent variable Independent variable An analytic expression of a function Graph of a function Sign function Equal functions Sign of a function Zero of a function Odd functions Equal functions Functions growing in the broad sense Decreasing functions in the broad sense Strictly growing functions Slightly decreasing functions Injective functions Monotonous functions Surice functions Biophysical functions Reverse functions Invertible functions Algebra of functions Composite functions Restriction of a function succession General term of a succession Graph of a succession Succession in recursive form Sequence defined for listing Succession defined recursively Graph of a succession Monotony of successions Monotony property of a succession Arithmetic progression reason Sum of the first terms of an arithmetic progression The general term of an arithmetic progression Geometric progression reason General term of a geometric progression Sum of the first terms of a geometric progression abscissa Axis of ascites Axis of the ordinates Biunivocal correspondence tidy origin Cartesian plan Reference system Dimeric reference system Monometric reference system clock face Distance between two points The middle point of a segment Center of gravity of a triangle carriers Components of a carrier Equality between vectors Operations between vectors Parallelism of vectors Linear functions Angular coefficient Ordered at the origin Slope of a straight line Linear functions at times Equation of the straight line Functions with absolute value Parallel lines Straight lines parallel to the axes Bisectors of the dials Straight line equation Equation of the straight line in implicit form General equation of the straight line Reciprocal position of two straight lines Parallel lines Perpendicular lines Straight line for a point Straight through two points Axis of a segment Distance of a point from a straight line bisectors Bundle of improper lines Bundle of straight lines Straight beam Straight line bundle generated by two straight lines Method of straight line bundles demiplane segment ray angle polygon strip Linear inequalities in two unknowns Mixed systems Analytical method Synthetic method isometry Central symmetry Equations of a central symmetry Symmetry center Axial symmetry translation expansion Composite transformation simile dilation Properties of dilation Transformations and function graphs circumference Equation in normal form Reciprocal position between straight and circumference Straight tangent to a circumference Doubling formulas Polar straight Reciprocal position of two circumferences Radical axis Bundle of circumferences Radical axis Base points Method of circumference bundles semicircle parabola Axis of a parable Director of a parable Fire of a parable Summit of a parabola Opening a parabola Concavity of a parabola Equation associated with a parabola Straight and parabolic position Tangent straight to a parabola Parabolic segment Archimedes theorem Bundle of parables Base points Method of parabola bundles Parabola and functions ellipse Center of an ellipse Focal distance of an ellipse Fires of an ellipse The largest axis of an ellipse Axis smaller than an ellipse Equation in the normal shape of an ellipse Fires of an ellipse Vertices of an ellipse Eccentricity of an ellipse Dilatations of an ellipse Reciprocal position between straight and ellipse Straight tangent to an ellipse Ellipse translated Ellipses and functions hyperbole Axis of symmetry of a hyperbola Symmetry center of a hyperbola Fires of a hyperbole Focal distance of a hyperbole Equation in normal shape of a hyperbole Asymptotic of a hyperbole Non-transverse axis of a hyperbole Transverse axis of a hyperbole Fires of a hyperbole Halfper of a hyperbole Tops of a hyperbole Eccentricity of a hyperbole Equilibrium Equation of a Hyperbole Hyperbole related to its axes Hyperboles related to their asymptotes Homogeneous function Symmetry center of a hyperbola Reciprocal position between straight and hyperbole Tangent lines to a hyperbole Doubling formulas Transverse hyperbola Hyperbole and functions conical Cone degenerate Flap of a conic Generator of a conic Conical surface Summit of a conic conical General equation of a conic Eccentricity of a conic Fire of a conic Intersections between conics Reciprocal position of two cones Tangency between conics Geometric place Cartesian equation of a geometric place Parametric Equation of a Geometric Location Second degree inequations in two unknowns Mixed parametric systems angle radiant Goniometric functions cosine otherwise tangent Triangles rectangles The first rectangular triangle theorem According to the rectangular triangle theorem Associated angles Graph of the goniometric functions Functions and transformations Sinusoidal functions pulsation phase displacement Periodic functions Inverse goniometric functions cosecant cotangent secant Statistical character Qualitative statistical character Statistically quantifiable character data Statistical mode Statistical population statistics Statistical unit Frequency distribution Continuous variable Discrete variable Statistical class Position indexes Indices of variability average median fashion standard deviation variance Joint distribution Marginal distribution Statistical distribution Conditioning distribution Statistical dependence Statistical independence Chi-square index correlation covariance Linear correlation Regression line Set of real numbers Set of real numbers: Addition properties Set of real numbers: properties of multiplication Irrational numbers Contiguous classes completeness Set of real numbers: order properties Separate sets Indefinite sets Approximate by default Approximation for excess Power to irrational exponent power Exponential function Exponential function: base Exponential function: domain Exponential function: graph Number of Nepero Number e Exponential equations Elementary exponential equations Exponential inequalities Inequality: algebraic resolution Inequality: graphic resolution Elemental inequalities Algebraic numbers Transcendent numbers logarithm Logarithm: argument Logarithm: base Logarithmic function Logarithmic function: graph Decimal logarithm Natural logarithm Logarithm neperian Property of logarithms Logarithm: basic change Logarithmic equations Exponential equations solvable by logarithms Logarithmic equations that can be solved graphically Logarithmic inequalities Elementary logarithmic inequalities Exponential growth Growth models Exponential decline Decay models Cosine: definition Goniometric functions Sinus: Definition Tangent: definition of Associated angles Associated angles that differ from a flat angle Complementary angles Angles associated with the opposite Additional associated angles Goniometric functions: application to rectangular triangles cosine arcoseno arctangent Addition and subtraction formulas for cosine Addiction and subtraction formulas for the sinus Goniometric functions: graphs Inverse goniometric functions Cosine of a difference Cosine of a sum sin of a difference sin of a sum Addition and subtraction formulas for the tangent Tangent to a difference Tangent of a sum Duplication formulas Bisection formulas Batch modulation formulas for tangent Parametric formulas Angle formed by two straight lines Parametric equations of the circumference and the ellipse Geometric place Linear function in cosine Normalizing factor Cosine cosine linear function: amplitude Cosine cosine linear function: graph Cosine cosine linear function: image Cosine cosine linear function: period Harmonic analysis Goniometric equations Goniometric equations of the type sin x = m Elemental goniometric equations Goniometric equations of the type cos x = m Goniometric equations of the type tan x = m Goniometric equations of the type sin f (x) = m Goniometric equations of the type cos f (x) = m Goniometric equations tan f (x) = m Goniometric equations of the type sin f (x) = sin g (x) Goniometric equations of the type cos f (x) = cos g (x) Goniometric equations of the type tan f (x) = tan g (x) Goniometric equations that can be traced back to elementary Linear goniometric equations in sin and cosine Parametric formulas Method of added angle Homogeneous goniometric equations of second degree in sin and cosine Goniometric inequalities Elemental goniometric inequalities Elemental goniometric inequalities Fractional goniometric inequalities Linear goniometric inequalities in sin and cosine Product inequalities Homogeneous gonometric inequalities of second degree in sin and cosine Theorems on rectangular triangles trigonometry Applications of theorems on rectangular triangles Area of a triangle Rope theorem sin theorem Cosine theorem Cosine theorem with vector calculation Resolution of a triangle Angle of rotation rotation Rotation with center in the origin of the axes Equation of a rotation with center in the origin Equation of the corresponding curve of a given rotation Reverse rotation Rotation: applications to the conic Rectangular term Conditions to recognize a conic affinity Direct affinity Equations of an affinity Reverse affinities expansion Invariant properties of affinities Affinity ratio Identification of an affinity United points of affinity Joined straight lines of affinity Geometric transformations Similarity report similitudes Similarities: equations Similarities: united elements Similarity: identification Similarities: invariant properties Gliss-symmetry isometries Isometrics: classification Isometrics: equations Axial symmetries Isometrics: united elements Isometrics: identification Isometrics: invariant properties Recognition of affinity Groups of transformations Erlangen program topology Set of complex numbers such as R expansion Complex numbers Imaginary unity Imaginary axis Real axis Conjugated complex numbers Complex numbers: algebraic form Complex opposing numbers Complex numbers: imaginary part Complex numbers: real part Complex numbers: equal Imaginary numbers Gauss Plan Complex numbers: module Complex numbers: geometric representation Geometric interpretation of addiction and subtraction between complex numbers Geometric interpretation of multiplication and division between complex numbers Complex numbers like vectors Operations in C vector Distance in the Gauss plane Parallelogram rule Complex conjugation property Building complex number complex numbers Polar axis Polar coordinates Polar coordinates: anomaly Polar coordinates: topic Polar coordinates: module Polar coordinates: passing to Cartesian coordinates pole Vector ray Polar coordinates: passing from Cartesian coordinates Complex numbers: trigonometric form Power of a complex number N-th roots of a complex number De Moivre theorem Equations in C Multiplicity of a solution Fundamental theorem of the algebra Complex numbers: exponential form Endless cardinality of sets Euler's formulas Planes in space Point in space Straight in space space Complanar lines Reciprocal positions of two straight lines Reciprocal positions of two floors Reciprocal positions of a straight line and a plan Figure in space Solid figures Congruent solid figures Planes in space Parallel planes Secantial planes Perpendicularity in space Perpendicularity between straight and flat Axial plane Perpendicularity between two straight lines Corner deer Perpendicularity between two floors Normal section of a dialect Amplitude of a dihedral angle Perpendicular planes Semipian bisector Parallelism in space Parallelism between lines in space Parallel lines Parallel between straight and flat Parallelism between floors Bundle of parallel planes Talete theorem Distance of one line from one floor Distance of a point from one plane Distance between two parallel planes Angles in space Angle between two straight lines Corner between a straight and a floor Distance between two sheds prism Properties of the prism parallelepiped Property of the parallelepiped angoloide pyramid Straight pyramid apothem Regular pyramid cylinder Rotation solids cone truncated cone ball Spherical surface Spherical shell Spherical segment to a base Cast spherical Spherical segment Spherical segment with two bases Spherical sector Spherical sphere Spherical zone polyhedron Convex polyhedron Regular polyhedron Euler's relationship Polyhedron properties Pyramid trunk Isometrics: in space Space symmetries Geometric transformations in space translation Space rotation Space wrap Developable surface Principle of Knights Space wrap Pyramid: area Volume of a solid Volume of a parallelepiped Volume of a cube Volume of a prism Area of the pyramid trunk Pyramid: volume Volume of the pyramid trunk Cylinder area Volume of the cylinder Area of the cone Volume of the cone Area of the trunk of cone anticlessidra Volume of the cone trunk Sphere area Volume of the ball Analytical geometry in space quote Distance between two points in space Middle point in space Vectors in space Vectors in space: operations Equation of a plane in space Equation of a plane in space: Cartesian form A condition of parallelism and perpendicularity between floors Equation of a straight line in space Parametric equation of a straight line in space Plan your reciprocal position Vector direction Cartesian equation of a straight line in space Distance of a point from one plane Distance of a point from a straight line ball Spherical surface Combinatorial calculation Fundamental principle of combinatorial calculation Simple arrangements sorting permutations Provisions with repetition Permutations with repetition combination Binomial coefficient Combination with repetition N-th power of a binomial Newton's binomial Statistical event Sample space Sure event Elementary statistical event Impossible statistical event Operations between events Incompatible events Probability: classical definition chance Probability conditioning Independent events Disintegration theorem Bayes theorem Probability: frequentist definition Probability: subjective definition Law of great numbers Infinitesimal calculation optimization Snell's Law Tangent straight Method of indivisibility measure speed instantaneous speed average speed mathematical analysis Ordered field (R) Completeness of R Together R intervals Intervals: amplitude Open intervals Closed intervals Limited intervals Together inferiorly limited Limited set maggiorante Maximum of a set Minimum of a set minorante Lower extremity The lower extremity of a set Upper extremity of a set Upper extremity Unlimited intervals Expanded R system (R *) Circular around All around Right around Around less infinite Around more infinite Around a point Around the left around Collection point Derived set Isolated point Classification of functions codomain Function definition domain An analytic expression of a function function Actual real variable function Theorem of Bolzano-Weierstrass Equal functions Sign of a function Zeros of a function image The lower extremity of a function Top end of a function Function is limited Together superbly limited Maximum of a function Minimum of a function Tightly growing function Strictly decreasing function Growing function in the broad sense Decreasing function in the broad sense Monotone function Odd function Equal function Periodic function Period of a function Restriction of a function Composite function Introduction limits Right Limit Left limit Limits: general definition limits Limits: particular definitions Asynthos vertical Horizontal asymmetry Limit by default Excess limit Verification of a limit Comparison theorem Boundary existence theorem for monotone functions Sign permanence theorem Limit uniqueness theorem Continuity at one point Continuity of elementary functions Limitations of functions Constraints of elemental functions Limit algebra Forms of indecision Indeterminate forms Partial arithmetic of the infinite symbol Limit of composite functions Indeterminate forms: polynomial functions Limits of polynomial functions Indeterminate forms: fractious rational functions Limitations of fractious rational functions Indeterminate forms: irrational algebraic functions Limitations of irrational algebraic functions Change of variable in the calculation of the limits Indeterminate forms: transcendent functions Significant limits of goniometric functions Indeterminate forms: exponential functions Indeterminate forms: logarithmic functions Significant limits of exponential functions Significant limits of logarithmic functions Considerable limits Number e Infinitesimi (functions) Infinite (functions) Order of infinity Order of an infinite Comparison between infinitesimi Comparison of infinites Infinite hierarchy Asymptotic equivalence Asymptotic functions Function continues succession Succession: graph Succession: general term Succession defined recursively Limited succession Inferior succession below Limited succession in the upper Arithmetic progression Geometric progression Increasing succession Descending succession Monotone succession Tightly growing succession Closely decreasing succession The general term of an arithmetic progression General term of a geometric progression Sum of arithmetic progression Sum of a geometric progression Converging succession Divergent succession Character of a succession Limitations of sequences and function limits Indeterminate succession Irregular succession Oscillating succession Comparison theorem for successions The theorem of the sign for succession Limit existence theorem for monotone sequences Calculation of succession limits Succession limits Induction principle summation Paradox of Zenone Numeric series Convergent numeric series Divergent numeric series Irregular numerical series Numerical series: linearity Succession of partial sums Numerical series of Mengoli Telescopic numerical series Geometric numerical series Axioms of Peano Axiomatic method Continuity from the right Continuity from the left Continuity at one point continuity Continuity and algebraic operations between functions Continuity and composition of functions Continuity and inverse function Point of discontinuity Singular point singularity Continuous extension of a function Unique point of the first species Singular jump point Singular point of second species Unique point eliminable Zeros theorem Bisection method Weierstrass theorem Intermediate values theorem Right horizontal asymmetry Asynchronous horizontal left Horizontal asymmetry Right asymmetry Left vertical asymmetry Asynthos vertical Right asymmetry Oblique asymmetry Asymmetry left Curved asymptotic Probable graph of a function Incremental ratio First derivative derived Derivable function Notation of Leibniz Right derivative Left derivative Continuity and derivability Derivability and continuity Derivative function Derivative of the constant function Derivative of the identical function Order derivative n Second derivative Derivative of the power function Derivative of exponential function Derivative of the logarithmic function Derivative of cosine function Derivative of the sin function Derivative algebra Linearity of the derivative Derivative of the function product Derivative of the mutual function Derivative of the quotient of functions Derivative of the tangent function Derivative of the composite function Derivatives of elementary functions Derivative of the reverse function Calculation of the derivative cusp Angular point Vertical tangent flush point Limit of the derivative Geometric applications of the derivative Straight line Tangent straight Tangency between two curves acceleration Applications to the sciences of the derivative differential Relative maximum of a function Relative minimum of a function Relative point of reference Relative maximum point Relative minimum point Absolute maximum of a function Absolute minimum of a function Extreme point Absolute maximum point Minimum point Absolute minimum point Stationary points Fermat's theorem Rolle theorem Lagrange theorem Lagrange Point A monotony criterion for derivable functions Stationary point analysis Monotone intervals Stationary point test optimization Optimization issues critical points Maximum and minimum problems Concave function Convex function Concave and convexity inflection Point of flitting Ascending flush point Descending flush point Oblique flush point Horizontal flush point Necessary and sufficient condition point Cauchy Point Cauchy's theorem The de Hopital theorem De l'Hopital theorem applications Zero existence theorem Zeros theorem Limit of the derivative Function study Function study scheme Polynomial function study Fractional rational function study Irrational function study Exponential function study Logarithmic function study Goniometric function study Function study with absolute values Deductible graph graphic Number of solutions of an equation Function study and equations Discussion of parametric equations Newton method primitive Indefinite integer Immediate integrals Integration by decomposition Indefinite integrity linearity Almost instantaneous integral integration Integration of composite functions Integration for replacement Differential factor Finished factor Integration of fractional rational functions Simple brothers area Area calculation trapezoid Sum of Riemann Sign area Defined integral Linearity of the defined integer Integrity additivity defined Monotony of the defined integer The first fundamental theorem of integral calculus Change of variable in integral calculus Defined integer applications Area of the region limited by the function graph Area of the region limited by the graph of two functions Volume of a solid Rotation solids Method of cylindrical shells speed Work of a force Hooke's Law Average value theorem for integers Darboux theorem Average value of a function Generalized integral Improper integral Comparison theorem for integers Derivative of the integral function The first fundamental theorem of integral calculus Error function Gauss function Numerical integration Method of rectangles Trapezius method Parabolic method Simpson's method Errors: evaluation in numerical integration Differential equations: general integral Differential equations: particular integer Linear differential equations of the first order Differential equations General integral (differential equations) Integral whole Singular integral Order of a differential equation Solutions of a differential equation Integral curve Differential equations with separable variables Secondary differential equations of the second order Homogeneous differential equations Cauchy's problem Characteristic equation Growth models Decay models Equation of motion Logistics equation Bernoulli process Random variable Discrete random variables Probability density standard deviation Probability distribution of discrete random variable Average of a random variable Average squared deviation Math hope Expected value variance Fair play Bernoulli's experiment Bernoulli's test Binomial distribution Binomial random variable Poisson distribution Geometric distribution Poisson random variable Poisson process Continuous random variable Probability density standard deviation Breakdown function Uniform distribution Uniform random variable Distribution of exponential Absence of memory (exponential random variables) Time of life Normal distribution Normal random variable Typical ranges Mathematical models
MATHEMATICAL TOOLS FOR PHYSICS Equivalences between units of measurement Calculations with powers Proportions and percentages The equations: derive an unknown quantity from a formula Relationships between the sides of a triangle Trigonometric relations THE MEASURE IN PHYSICS What does physics study? The physical quantities Properties of powers of 10 Scientific notation Direct and indirect measurements in physics Making estimates: Fermi's problems DATA PROCESSING IN PHYSICS Measurement errors Estimate of the error The propagation of errors and significant figures The construction of a Cartesian graph Representations of experimental data Mathematical and graphical representation of physical laws SCALAR GREATNESS AND VECTOR GRANDEZES Moving into physics Difference between Displacement and path traveled Sum of vectors Sum of perpendicular vectors Scalars and vectors Vector operations Subtraction of vectors Breakdown of a vector Corners and Cartesian components of a vector Scalar product vector product FORCES AS VECTORS Forces Sum of forces The weight force Elastic force The binding forces The friction force THE SOLID BALANCE Balance in physics Moment of a force Moment of a force system The balance of a rigid body Center of gravity and stability of balance The simple machines: levers and pulleys THE PRESSURE AND THE BALANCE OF FLUIDS Fluids and pressure Pressure in liquids Atmospheric pressure The floating of the bodies THE UNIFORM MOTORCYCLE The description of the bike Speed in physics The space-time graph The uniform rectilinear motion THE UNIFORMLY ACCELERATED MOTORCYCLE acceleration The speed-time graph The uniformly accelerated motion The free fall in physics MOTIONS IN THE FLOOR HARMONIC MOTION The motions in the plane The motion of the projectiles The uniform circular motion Displacement and angular velocity The harmonic motion DYNAMICS (in physics) NEWTON From the description of the motion to its causes The first principle of dynamics The second principle of dynamics The third principle of dynamics The pendulum fall motions circular motion and laws of dynamics harmonic motion and laws of dynamics WORK AND ENERGY (physics) The work of a constant force The work of the weight force The work of a variable force The power Kinetic energy The potential gravitational energy Energy conservation TEMPERATURE AND HEAT Temperature and balance Thermal expansion Heat (physical) Heat as energy in transit The propagation of heat Aggregation states status changes GEOMETRIC OPTICS Light sources and light rays Reflection (optic) Refraction Total reflection Spherical mirrors The lenses (optical)
WIKIPEDIA PSSC Eugene Khutoryansky phet applet podcast CLIL audio solved exercises minutephysics The Mechanical Universe MIT on line game conceptual map
