materi5 multivariate calculus2

22
MATHEMATICS FOR ECONOMISTS MULTIVARIATE CALCULUS II

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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

Page 3: materi5 multivariate calculus2

Level Curves and Level Sets (Con’t)

Page 4: materi5 multivariate calculus2

Level Curves and Level Sets (Con’t)

Page 5: materi5 multivariate calculus2

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

Page 11: materi5 multivariate calculus2

Quadratic Forms (Con’t)

Page 12: materi5 multivariate calculus2

Determinantal Tests for Sign Definiteness

Page 13: materi5 multivariate calculus2

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

Page 14: materi5 multivariate calculus2

The Semidefinite Case (Con’t)

Page 15: materi5 multivariate calculus2

The Semidefinite Case (Con’t)

Page 16: materi5 multivariate calculus2

Contoh 1 :

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Contoh 2 :

Page 18: materi5 multivariate calculus2

Homogenous Functions

Page 19: materi5 multivariate calculus2

Homogenous Functions (Con’t)

Page 20: materi5 multivariate calculus2

Homogenous Functions (Con’t)

Page 21: materi5 multivariate calculus2

Homotheticity

Page 22: materi5 multivariate calculus2

Homotheticity