A LIBRARY FOR THE CURIOUS

Mathematics.
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84 videos to explore

Video language

PlatformYouTube79X3Bilibili2

DisciplineCalculus40Algebra20Probability & statistics12Discrete mathematics8Applied mathematics2General mathematics1Geometry1

DifficultyFoundational42Intermediate23Introductory19

StyleWhiteboard51Visual explanation25Lecture6Problem solving2

Length5–15 min42Under 5 min3415–45 min8

TopicMatrices10Derivatives7Greatest common divisor6Linear transformations5Means5Euclidean algorithm5Definite integral4Probability4Vectors3Chain rule3Determinants3Function limit3Distributions3Partial derivative3Multivariable function3Bayes’ theorem2Integrals2Permutations2Function graph2Expectation2Random variables2Independence2Function approximation2Series convergence2Partial sums2Infinite series2Fourier transform1Eigenvalues1Three-dimensional space1Calculus1Linear span1Basis1Fractions1Tangent line1Conditional probability1Riemann sums1Binomial distribution1Area under curve1Hypothesis testing1Normal distribution1Graph theory1Incidence matrix1Network conservation1Gradient1Arc length1Mean value theorem1Lagrange multipliers1Line integral of a vector field1Power series1Taylor series1Sequence limit definition (ε–N)1Divergence1Function limit definition (ε–δ)1Sequence limit1Sequence convergence1Comparison test1Error estimate1Alternating series1Zeno’s paradox1Limit nonexistence1Secant line1Local linearization1Tangent plane1Normal vector1Directional derivative1Total differential1Multivariable limit1Jacobian determinant1Iterated integral1Volume under surface1Moment of inertia1

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