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PlatformYouTube103Bilibili62X3

DisciplineCalculus95Algebra32Probability & statistics25Discrete mathematics11Applied mathematics3General mathematics1Geometry1

DifficultyFoundational79Intermediate53Introductory36

StyleVisual explanation71Whiteboard60Proof13Lecture12Problem solving12

LengthUnder 5 min1135–15 min4715–45 min8

TopicMatrices18Derivatives10Sequence convergence10Definite integral9Function graph9Greatest common divisor9Euclidean algorithm8Sequence limit7Sequence limit definition (ε–N)7Function limit6Riemann sums6Multivariable function6Partial derivative6Distributions6Linear transformations5Determinants5Means5Infinitesimal method5Series convergence5Probability5Normal distribution5Vectors4Supremum principle4Monotone bounded theorem4Double integral4Vector 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 curve2Curved trapezoid2Volume by integration2Solid region2Moment of inertia2Lagrange multipliers2Multivariable extrema2Parametric curve2Hessian matrix2Multivariable limit2Tangent line2Secant line2Mean value theorem2Bounded set2Circulation2Curl density2Line integral of a vector field2Flux2Normal vector2Divergence2Alternating series2Error estimate2Gradient2Wave superposition2Volume under surface2Solid beneath a surface2Jacobian determinant2Comparison test2Power series2Total differential2Function limit definition (ε–δ)2Zeno’s paradox2Conditional probability2Random variables2Independence2Binomial distribution2Rectangle partition2Fourier 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 proofs1Region bounded by surfaces1Physical 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 principle1Real number completeness1Stokes’ theorem1Gauss’ divergence theorem1Level surface1Fourier series1Change of variables1Polar coordinates1Positive term series1Uniform continuity1Coordinate grid1Animation timing1Hypothesis testing1Internal boundary cancellation1Graph theory1Incidence matrix1Network conservation1

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