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PlatformYouTube468Bilibili11X3

DisciplineMathematical modeling286Calculus73Algebra51Probability & statistics44Discrete mathematics17Applied mathematics8Geometry2General mathematics1

DifficultyIntroductory325Intermediate106Foundational46Advanced5

StyleWhiteboard211Visual explanation140Lecture129Problem solving2

Length5–15 min276Under 5 min17815–45 min28

TopicMatrices25Derivatives19Vectors14Probability13Integrals12Greatest common divisor10Distributions9Eigenvalues8Linear transformations8Expectation8Graph theory8Time series forecasting8Chain rule7Function limit7Normal distribution7Exponential smoothing forecasting7Basis6Random variables6Independence6Euclidean algorithm6Determinants5Bayes’ theorem5Means5Permutations5Function graph5Definite integral5Conditional probability5Binomial distribution5Game theory modeling5Calculus4Power series4Taylor series4Grey prediction model4Regression modeling4ARIMA modeling4Normalization and standardization in modeling4Entropy weight method4Dimensional analysis4Linear programming4Transportation problem4Cluster analysis modeling4Modular arithmetic4Ordinary differential equations4Fourier transform3Fractions3Hypothesis testing3Function approximation3Arc length3Mean value theorem3Partial derivative3Infinite series3Multivariable function3Fuzzy comprehensive evaluation3Interpolation methods for 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method2Unit circle2Differential forms2Huffman coding2Pythagorean theorem2Conditional entropy2Polyhedra2Graphs2Inverse functions2Three-dimensional space1Tangent line1Area under curve1Incidence matrix1Network conservation1Line integral of a vector field1Sequence limit definition (ε–N)1Divergence1Function limit definition (ε–δ)1Comparison test1Error estimate1Alternating series1Zeno’s paradox1Limit nonexistence1Secant line1Local linearization1Tangent plane1Normal vector1Directional derivative1Multivariable limit1Iterated integral1Volume under surface1Moment of inertia1Rectangle partition1Curve fitting in modeling1Discriminant analysis1Factor analysis1Optimization modeling1Duality in linear programming1Differential equation modeling1Common mistakes in mathematical modeling1Integer programming1Multi-objective optimization1Dynamic programming for modeling1Queueing model1Analytic hierarchy process1Poisson distribution1Zero-knowledge proofs1Simplex method1Yoneda lemma1Autocorrelation1Trigonometric identities1Logistic growth1Universal properties1Value at Risk1Proof by contradiction1Direct proof1Analysis of variance1Angles1Rigid motions1Well-posedness1Complete reducibility1Difference equation model1Sequence limit1Nash equilibrium1Brownian motion1Counterexamples1Linear regression1Verification and validation1Finite element method1Turing patterns1Weak convergence1Quadratic residues1Number theory1Analytic continuation1Compound interest1Absolute value1Almost everywhere1Lebesgue measure1Triangle congruence1Bipartite matching1Chain complexes1Trees1Fields1TOPSIS evaluation model1Compact operators1Bounded linear operators1Unique factorization domains1Binary operations1Isolated singularities1Laurent series1Schur's lemma1Area and volume1Matrix norms1Monotone convergence theorem1Mathematical induction1Transition matrices1Chi-squared distribution1Stochastic processes1Source coding1Gaussian curvature1Intermediate value theorem1Catalan 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spaces1Quantifiers1Finite differences1Martingales1Arithmetic operations1Group actions1Ramsey theory1Graph coloring1Euler and Hamilton paths1

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Mathematical modeling·English

1. Maximum Likelihood Estimation Basics

Christina Knudson (Dr. Knudson)

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