Funda zonke izibalo, ngokulandelelana.

Ukusuka ekubalaneni kuya ezinkingani ezivulekile. Khetha lapho ukhona khona; isifundo ngasinye sibonisa izimo zayo, sizokha isithombe, futhi sifihla impendulo kuze kube ubuza.

1765 Izifundo · 51769 izinkinga zokuqeqesha · 28 ama-stages

Isikole Ukubala kuya ku-precalculus: indlela wonke umuntu ehamba ngayo.

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

I-University I-Calculus onward: i-toolkit yomsebenzi we-mathematician.

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

I-Graduate lapho izihloko zivela khona, futhi zixhunywe.

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

Ucwaningo Izinkinga ezivuliwe, zihlukaniswe zibe yizinto odinga ukuzifunda.

  1. 30 Frontiers 24 Izifundo

Noma uthathe izinkinga zakho

Bhala, noma zobaze ngegundane lakho noma ngesandla. Izilinganiso, izithonya, ama-matrices, ama-triangles, ama-primes - noma izinkinga zegama ochwepheshe ahlukanise ngezingxenye.

Vula ikhasi eligcwele lokulungisa →

I-akhawunti ekhululekile ingeza: ikhasi lakho lokusebenza

  • Amabhukwana kulesifundo ngasinye, agcinwa njengoba ubhala
  • Umlando wezifundo oziqedile, kanye nendawo lapho ungathola khona
  • Yonke izinkinga oxazulula, zigcinwa endaweni eyodwa
  • Ibhokisi lokufundisa kulesifundo ngasinye ukuze ubuze imibuzo mayelana nalesikhasi
  • Ukushicilela nokuphendula kubhodi yosizo

Yonke imfundiso, isibonelo esisebenza kanye ne-solver zihlala zivulekile ngaphandle kwe-akhawunti.

Bhala Bona ikhasi lomsebenzi

Isigaba ngasinye sifakazela ukuthi yini

Yonke enye iyisiqephu sezifundo ezinamasibonelo esisebenza ngokuzimela, esibonakalayo, kanye ne-solver ehlobene nayo.

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

Indlela esebenza ngayo

1

Bhala noma zoba

“i derivative of x² sin x”, “yi 561 prime”, “i triangle 3 4 5” — noma i-sketch equation kwi pad futhi ifunde wena.

2

Bona yonke imizamo

Umthetho owodwa ngenyathelo (umthetho wokukhiqiza, umsebenzi womugqa, uhlukaniso lwe-Euclid) ophilayo, futhi ocacisiwe embhalweni.

3

Bona isitayela sayo

Amagobolondo anezinhlamvu zazo eziphawulwe, izimo ongazigqugquzela, ama-triangles adwetshwe ukukala, izitshalo ezibambisana, ama-matrices njengezibhamu ezingaphakathi.

4

Izinto ezingaba khona

Inkinga yegama, isiqiniseko, umbuzo ovulekile: umfundi uhlukanisa kungxenyekazi ongazama ukuhlasela, utshela ukuthi yini eyaziwayo, futhi ufihla impendulo kuze kube ufuna.