Tgħallem kollha tal-matematika, fl-ordni.

Minn għadd għall-problemi miftuħa. Pick fejn inti; kull lezzjoni turi l-passi tagħha, jiġbed l-istampa, u jaħbi t-tweġiba sakemm inti tistaqsi.

1765 lezzjonijiet · 51769 problemi ta’ prattika · 28 stadji

Skola Counting għall precalculus: it-triq kulħadd jimxi.

  1. 1 Arithmetic 62 lezzjonijiet
  2. 2 Algebra 190 lezzjonijiet
  3. 3 Geometry 60 lezzjonijiet
  4. 4 Trigonometry 48 lezzjonijiet
  5. 5 Precalculus 83 lezzjonijiet
  6. 6 Statistics & Probability 59 lezzjonijiet
  7. 7 Discrete Math & Logic 68 lezzjonijiet

Università Calculus onward: il-kitt tal-għodda tal-matematiku li jaħdem.

  1. 8 Calculus 133 lezzjonijiet
  2. 9 Linear Algebra 85 lezzjonijiet
  3. 10 Number Theory 57 lezzjonijiet
  4. 11 Differential Equations 47 lezzjonijiet
  5. 12 Multivariable Calculus 107 lezzjonijiet
  6. 13 Real Analysis 43 lezzjonijiet
  7. 14 Combinatorics & Graph Theory 166 lezzjonijiet
  8. 15 Set Theory & Logic 70 lezzjonijiet
  9. 16 Abstract Algebra 126 lezzjonijiet
  10. 17 Probability Theory 48 lezzjonijiet
  11. 18 Numerical Methods 34 lezzjonijiet
  12. 19 Complex Analysis 32 lezzjonijiet

Gradwat Fejn is-suġġetti jsiru astratti, u konnessi.

  1. 20 Topology 39 lezzjonijiet
  2. 21 Measure Theory 27 lezzjonijiet
  3. 22 Functional Analysis 32 lezzjonijiet
  4. 23 Differential Geometry 32 lezzjonijiet
  5. 24 Algebraic Topology 26 lezzjonijiet
  6. 25 Category Theory 26 lezzjonijiet
  7. 26 Partial Differential Equations 19 lezzjonijiet
  8. 27 Fluid Dynamics 22 lezzjonijiet

Riċerka Il-problemi miftuħa, maqsuma f'dak li għandek bżonn biex jaqra minnhom.

  1. 30 Frontiers 24 lezzjonijiet

Jew iġibu l-problema tiegħek stess

Ittajpja jew iġbed bil-maws jew b'subgħajk.Ekwazzjonijiet, derivattivi, matriċi, triangoli, numri primi — jew problema ta' kelma li t-tutur jaqsam f'partijiet.

Iftaħ il-paġna sħiħa tas-solver →

X'żied kont b'xejn: il-workbook tiegħek

  • Noti dwar kull lezzjoni, salvati kif inti ttajpjar
  • Reġistru tal-lezzjonijiet li tkun lestejt, u fejn tista’ tieħu l-lezzjonijiet
  • Kull problema li ssolvi, miżmuma f'post wieħed
  • Panel tat-tutur fuq kull lezzjoni għal mistoqsijiet dwar dik il-paġna
  • Posting u tweġiba fuq il-bord għajnuna

Kull lezzjoni, eżempju maħduma u l-solver jibqgħu miftuħa mingħajr kont.

Irreġistra issa Ara l-workbook

X'jkopri kull stadju

Kull wieħed huwa sett ta' lezzjonijiet b'eżempju ħaj maħduma, viżwali, u solver sintonizzati għalih.

Stadju 1 · school Arithmetic Numbers, fractions, percentages and the order of operations. Stadju 2 · school Algebra Equations, inequalities, factoring, functions and systems. Stadju 3 · school Geometry Triangles, circles, polygons, solids and coordinates. Stadju 4 · school Trigonometry Angles, the unit circle, identities and trig equations. Stadju 5 · school Precalculus Functions in depth, complex numbers, sequences, conics and vectors. Stadju 6 · school Statistics & Probability Averages, spread, counting and probability. Stadju 7 · school Discrete Math & Logic Counting, logic, truth tables, sets and proof. Stadju 8 · college Calculus Limits, derivatives, integrals, series and optimisation. Stadju 9 · college Linear Algebra Matrices, determinants, inverses, row reduction and eigenvalues. Stadju 10 · college Number Theory Primes, divisibility, gcd, modular arithmetic and sequences. Stadju 11 · college Differential Equations Equations whose unknown is a function: growth, oscillation, and how physics is written. Stadju 12 · college Multivariable Calculus Partial derivatives, gradients, multiple integrals, vector fields. Stadju 13 · college Real Analysis Limits made rigorous: sequences, series, convergence, improper integrals, complex numbers as functions. Stadju 14 · college Combinatorics & Graph Theory Counting, generating functions, graphs, trees, colourings and networks. Stadju 15 · college Set Theory & Logic Sets, relations, functions, cardinality, proof and the foundations of mathematics. Stadju 16 · college Abstract Algebra Groups, rings, fields: symmetry made into structure. Stadju 17 · college Probability Theory Random variables, distributions, expectation, limit theorems. Stadju 18 · college Numerical Methods Root finding, approximation, numerical integration and error. Stadju 19 · college Complex Analysis Holomorphic functions, contour integrals, residues, the rigidity of the complex plane. Stadju 20 · graduate Topology Open sets, continuity, compactness, connectedness: geometry without distance. Stadju 21 · graduate Measure Theory Lebesgue measure and integral, σ-algebras, convergence theorems. Stadju 22 · graduate Functional Analysis Banach and Hilbert spaces, operators, spectral theory. Stadju 23 · graduate Differential Geometry Curves, surfaces, curvature, manifolds: the language of general relativity. Stadju 24 · graduate Algebraic Topology Fundamental groups, homology: counting holes with algebra. Stadju 25 · graduate Category Theory Objects, arrows, functors, universal properties: mathematics about mathematics. Stadju 26 · graduate Partial Differential Equations Heat, waves, potentials and transport: Fourier methods, energy estimates, Sobolev spaces and scaling. Stadju 27 · graduate Fluid Dynamics Continuity, vorticity, the Euler and Navier-Stokes equations, and what is proved about them. Stadju 30 · research Frontiers The open problems (Riemann, Navier-Stokes, P vs NP) broken into what you need to even read them.

Kif jaħdem

1

Ittajpja jew iġbed

“derivattiva ta’ x² sin x”, “hija 561 prima”, “trijanglu 3 4 5” — jew iddisinja l-ekwazzjoni fuq il-pad u tinqara għalik.

2

Ara kull mossa

Regola waħda għal kull pass (ir-regola tal-prodott, operazzjoni ringiela, diviżjoni Ewklide animati, u spjegati f'sentenza.

3

Ara l-forma ta' dan

Kurvi bl-għeruq tagħhom immarkati, uċuħ inti tista jduru, triangoli miġbuda biex skala, siġar fattur, matriċi bħala vetturi fl-ispazju.

4

L-impossibbli oħrajn wisq

Problema tal-kelma, prova, mistoqsija miftuħa: it-tutur jaqsamha f'partijiet li tista' tattakka, jgħidlek x'inhu magħruf, u jaħbi s-soluzzjoni sakemm tridha.