Learn zonse za mathematics, m'njira.

Kuchokera kuwerengetsa kuti otsegulira mavuto. Pick kumene inu muli; aliyense phunziro amasonyeza njira zake, amamanga chithunzi, ndi amateteza yankho mpaka inu mufunse.

1765 Maphunziro · 51769 Mavuto a Practice · 28 ma stages

Kufufuza Mavuto otsegulira, anagwa m'chimene muyenera kuwawerenga.

  1. 30 Frontiers 24 Maphunziro

kapena kubweretsa vuto lanu lokha

Tiyeni tikambirane za mfundo zazikulu za sayansi monga: ma equations, derivatives, matrices, triangles, primes, ndi zina zambiri.

Kutsegula tsamba lomaliza →

Zowonjezera zomwe akuwonjezera akaunti yopanda malire: buku lanu la ntchito

  • Zikumbutso pa kalasi iliyonse, zimasungana pamene mukulemba
  • Kulemba kwa maphunziro omwe mwamaliza, ndi komwe mungapeze
  • Gawo lililonse vuto inu kuchotsa, anatenga m'malo mmodzi
  • Paneli ya tutor pazophunzira zonse zofunsira mafunso patsambali
  • Kulemba ndi kuyankha pa board ya thandizo

Gawo lililonse, anagwira ntchito chitsanzo ndi wothamanga kukhazikika otsegulira popanda akaunti.

Kulembetsa Onani buku la ntchito

Zimene nthawi iliyonse imakhudza

M’malo mwake, aliyense wa iwo ali ndi maphunziro osiyanasiyana ndi chitsanzo chogwira ntchito, chowoneka bwino, ndi chofufuza choyenera.

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

Momwe zimagwira ntchito

1

Pitani ku bokosi la mawu

“derivative of x² sin x”, “ndi 561 waukulu”, “triangle 3 4 5” — kapena kujambula chilinganizo pa pad ndi kuti anawerenga kwa inu.

2

Onani zonse

Mmodzi malamulo pa step(the lamulo la zipangizo, row ntchito, Euclid division) animated, ndi kufotokoza mu mawu.

3

Onani mawonekedwe ake

Ma curves ndi ma roots awo amadziwika, ma surfaces omwe mungasinthire, ma triangles omwe amapangidwa kuti azithamanga, ma tree factor, ma matris monga vector mu space.

4

Osatheka enanso

Mkangano wa mawu, umboni, funso lotsegulira: wophunzitsa amachotsa m'malo omwe mungapeze, akukuwuzani zomwe zikudziwika, ndipo amachotsa chithandizo mpaka mutafuna.