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PlatformYouTube101Bilibili60X3

DisciplineCalculus92Algebra32Probability & statistics25Discrete mathematics11Applied mathematics2General mathematics1Geometry1

DifficultyFoundational79Intermediate51Introductory34

StyleVisual explanation71Whiteboard58Proof13Problem solving12Lecture10

LengthUnder 5 min1115–15 min4515–45 min8

TopicMatrices18Derivatives10Sequence convergence10Definite integral9Greatest common divisor9Function graph8Euclidean algorithm8Sequence limit7Sequence limit definition (ε–N)7Function limit6Multivariable function6Partial derivative6Distributions6Linear transformations5Determinants5Means5Infinitesimal method5Riemann sums5Double integral5Series convergence5Probability5Normal distribution5Vectors4Supremum principle4Monotone bounded theorem4Vector field4Tangent plane4Function approximation4Infinite series4Variance4Chain rule3Tangent vector3Limit nonexistence3Arc length3Iterated integral3Nested interval theorem3Surface integral3Directional derivative3Partial sums3Taylor series3Local linearization3Expectation3Bayes’ theorem2Integrals2Permutations2Green’s theorem2Singularity2Boundary orientation2Limit process2Closed loop integral2Cauchy convergence criterion2Area under curve2Volume by integration2Solid region2Lagrange multipliers2Multivariable extrema2Parametric curve2Hessian matrix2Multivariable limit2Tangent line2Secant line2Mean value theorem2Circulation2Curl density2Line integral of a vector field2Flux2Normal vector2Divergence2Alternating series2Error estimate2Gradient2Wave superposition2Solid beneath a surface2Jacobian determinant2Comparison test2Power series2Total differential2Function limit definition (ε–δ)2Zeno’s paradox2Conditional probability2Random variables2Independence2Binomial distribution2Fourier transform1Eigenvalues1Three-dimensional space1Calculus1Linear span1Basis1Fractions1Curve integral1Arc length differential1Direction cosine1Vector field projection1Hole method1Multiply connected domain1Method of inscribed polygons1Polygon approximation1Path independence1Conservative field1Simply connected domain1Heine theorem1Babylonian square-root method1Iterative method1Choosing parameters in proofs1Curved trapezoid1Region bounded by surfaces1Moment of inertia1Physical quantity1Triple integral1Constrained extrema1Level curve1Space curve1Normal plane1Second derivative test1Point set topology1Neighborhood1Interior point1Boundary point1Cauchy–Schwarz inequality1Vector geometry1Algebraic proof1Path limit1Cluster point1Cauchy mean value theorem1Finite covering theorem1Compactness1Proof by contradiction1Infimum principle1Bounded set1Real number completeness1Stokes’ theorem1Gauss’ divergence theorem1Level surface1Fourier series1Volume under surface1Change of variables1Polar coordinates1Positive term series1Uniform continuity1Coordinate grid1Animation timing1Hypothesis testing1Rectangle partition1Internal boundary cancellation1Graph theory1Incidence matrix1Network conservation1

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