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Mathematical logic
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StatementsLecture1.1
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Logical ConnectivesLecture1.2
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Statement patterns and logical equivalenceLecture1.3
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Algebra of statementsLecture1.4
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Venn diagramsLecture1.5
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Matrices
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Definition and types of matricesLecture2.1
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Algebra of matricesLecture2.2
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Inverse of a matrixLecture2.3
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Solution of equationsLecture2.4
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Continuity
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Continuity of a function at a pointLecture3.1
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Differentiation
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Derivative of Inverse functionLecture4.1
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Logarithmic DifferentiationLecture4.2
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Derivative of an Implicit FunctionLecture4.3
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Derivative of a Parametric FunctionLecture4.4
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Second Order DerivativeLecture4.5
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Applications of Derivative
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Increasing and Decreasing FunctionsLecture5.1
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Maxima and MinimaLecture5.2
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Indefinite Integration
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Definition of an integralLecture6.1
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Integral of standard functionsLecture6.2
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Rules of IntegrationLecture6.3
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Methods of IntegrationLecture6.4
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Integration by partsLecture6.5
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Definite Integrals
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Definite IntegralLecture7.1
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PropertiesLecture7.2
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ApplicationsLecture7.3
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Ratio, Proportion and Partnership
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Ratio, Proportion and PartnershipLecture8.1
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Commission, Brokerage and Discount
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Commission and BrokerageLecture9.1
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DiscountLecture9.2
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Insurance and Annuity
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Demography
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Introduction, DefinitionLecture11.1
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Uses of Vital StatisticsLecture11.2
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Measurements of MortalityLecture11.3
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Life TablesLecture11.4
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Bi variate Data and Correlation
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Bi variate Frequency DistributionLecture12.1
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Karl Pearson’s Coefficient of CorrelationLecture12.2
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Rank CorrelationLecture12.3
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Regression Analysis Introduction
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Equation of Line of RegressionLecture13.1
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Regression Coefficients and Their PropertiesLecture13.2
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Venn diagrams
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