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MATHEMATICS FOR ECONOMISTS MULTIVARIATE CALCULUS II

materi5 multivariate calculus2

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This is the presentation of multivariate calculus 2 in economy

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Page 1: materi5 multivariate calculus2

MATHEMATICS FOR ECONOMISTS

MULTIVARIATE CALCULUS II

Page 2: materi5 multivariate calculus2

Level Curves and Level Sets

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Level Curves and Level Sets (Con’t)

Page 4: materi5 multivariate calculus2

Level Curves and Level Sets (Con’t)

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Concavity and Convexity

Page 6: materi5 multivariate calculus2

Concavity and Convexity

Page 7: materi5 multivariate calculus2

Concavity and Convexity

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Page 8: materi5 multivariate calculus2

Concavity and Convexity

Page 9: materi5 multivariate calculus2

Concavity and Convexity

Page 10: materi5 multivariate calculus2

Quadratic Forms

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Quadratic Forms (Con’t)

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Determinantal Tests for Sign Definiteness

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Testing for strict concavity and strict convexity (Con’t)

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The Semidefinite Case (Con’t)

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The Semidefinite Case (Con’t)

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Contoh 1 :

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Contoh 2 :

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Homogenous Functions

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Homogenous Functions (Con’t)

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Homogenous Functions (Con’t)

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Homotheticity

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Homotheticity