A LIBRARY FOR THE CURIOUS

Mathematics.
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4 videos to explore

Video language

PlatformYouTube287X3Bilibili2

DisciplineMathematical modeling107Calculus68Algebra50Probability & statistics44Discrete mathematics15Applied mathematics6General mathematics1Geometry1

DifficultyIntroductory186Intermediate62Foundational44

StyleWhiteboard133Visual explanation91Lecture66Problem solving2

Length5–15 min166Under 5 min9815–45 min28

TopicMatrices24Derivatives15Integrals12Probability12Vectors11Expectation8Distributions8Greatest common divisor8Linear transformations7Function limit7Time series forecasting7Eigenvalues6Chain rule6Random variables6Euclidean algorithm6Determinants5Bayes’ theorem5Basis5Means5Permutations5Function graph5Definite integral5Normal distribution5Graph theory5Game theory modeling5Calculus4Independence4Conditional probability4Binomial distribution4Grey prediction model4Regression modeling4ARIMA modeling4Exponential smoothing forecasting4Hypothesis testing3Mean value theorem3Partial derivative3Taylor series3Infinite series3Multivariable function3Interpolation methods for modeling3Normalization and standardization in modeling3Agent-based modeling3Entropy weight method3System dynamics modeling3Error propagation in models3Principal component analysis3Network flow modeling3Monte Carlo simulation3Markov chain modeling3Cellular automaton model3Minimum spanning tree model3Cluster analysis modeling3Model validation techniques3Inventory model3Linear span2Riemann sums2Function approximation2Lagrange multipliers2Series convergence2Partial sums2Fuzzy comprehensive evaluation2SIR epidemic model2Differential equation modeling2Logistic growth model2Similarity and scaling in modeling2Dimensional analysis2Model assumptions and simplification2Traveling salesman modeling2Shortest path models2Linear programming2Transportation problem2Structure of a modeling report2Population growth model2Least squares fitting2Fourier transform1Three-dimensional space1Fractions1Tangent line1Area under curve1Incidence matrix1Network conservation1Gradient1Arc length1Line integral of a vector field1Power 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 inertia1Rectangle partition1Variance1Outlier handling in modeling1Curve fitting in modeling1Discriminant analysis1Factor analysis1Optimization modeling1Duality in linear programming1Common mistakes in mathematical modeling1Integer programming1Branch and bound1Multi-objective optimization1Dynamic programming for modeling1Queueing model1Analytic hierarchy process1

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