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PlatformYouTube329X3Bilibili2

DisciplineMathematical modeling149Calculus68Algebra50Probability & statistics44Discrete mathematics15Applied mathematics6General mathematics1Geometry1

DifficultyIntroductory218Intermediate70Foundational44Advanced2

StyleWhiteboard155Visual explanation99Lecture78Problem solving2

Length5–15 min192Under 5 min11415–45 min28

TopicMatrices24Derivatives15Probability13Vectors12Integrals12Expectation8Distributions8Greatest common divisor8Time series forecasting8Eigenvalues7Linear transformations7Function limit7Chain rule6Random variables6Normal distribution6Euclidean algorithm6Determinants5Bayes’ theorem5Basis5Means5Permutations5Function graph5Definite integral5Independence5Graph theory5Game theory modeling5Exponential smoothing forecasting5Calculus4Conditional probability4Binomial distribution4Taylor series4Grey prediction model4Regression modeling4ARIMA modeling4Linear programming4Cluster analysis modeling4Hypothesis testing3Mean value theorem3Partial derivative3Infinite series3Multivariable function3Fuzzy comprehensive evaluation3Interpolation methods for modeling3Normalization and standardization in modeling3Agent-based modeling3Entropy weight method3System dynamics modeling3Error propagation in models3Dimensional analysis3Principal component analysis3Network flow modeling3Monte Carlo simulation3Markov chain modeling3Cellular automaton model3Transportation problem3Minimum spanning tree model3Model validation techniques3Inventory model3Linear span2Riemann sums2Function approximation2Gradient2Lagrange multipliers2Power series2Series convergence2Partial sums2Total differential2Jacobian determinant2Variance2Outlier handling in modeling2SIR epidemic model2Logistic growth model2Similarity and scaling in modeling2Model assumptions and simplification2Traveling salesman modeling2Shortest path models2Structure of a modeling report2Population growth model2Least squares fitting2Assignment problem2Partial differential equations2Fourier transform1Three-dimensional space1Fractions1Tangent line1Area under curve1Incidence matrix1Network conservation1Arc length1Line 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 programming1Branch and bound1Multi-objective optimization1Dynamic programming for modeling1Queueing model1Analytic hierarchy process1Fourier series1Poisson distribution1Uniform distribution1Zero-knowledge proofs1Simplex method1Yoneda lemma1Topological spaces1Autocorrelation1Trigonometric identities1Logistic growth1Exponential growth1Universal properties1Value at Risk1Markov chains1Proof by contradiction1Direct proof1Analysis of variance1Experimental design1Angles1Rigid motions1Well-posedness1Complete reducibility1Group representations1Difference equation model1Sequence limit1Sequence convergence1Nash equilibrium1Brownian motion1Counterexamples1Linear regression1Singular values1Verification and validation1Finite element method1Connectedness1Uniform convergence1Pointwise convergence1Turing patterns1Weak convergence1Quadratic residues1Modular arithmetic1Number theory1Analytic continuation1Compound interest1

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Mathematical modeling·English

Modeling population with simple differential equation | Khan Academy

Khan Academy

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