Teacher
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PETROSELLI ANNA RITA
(syllabus)
Logic and logical connectives. Set theory Numeric sets. Intervals and Surroundings. Majority, minority. Upper / lower extremes Functions: parity, disparity, injectivity, image Power, exponential, logarithm, goniometric functions Compound goniometric functions. Domain. Classification Limits. Asymptotes Properties of limits: Permanence of the sign. Study of the function with the graphical method Theorems: Comparison, sum, product, ratio, compound function Infinite and infinitesimal. Continuity Derivatives. Theorems: compound function, inverse, De L'Hopital, Taylor Theorems: Fermat, Rolle, mean value, Cauchy Concavity convexity. Full function study Definite integral Methods for solving integrals. Integrate them in an improper sense
Linear Algebra: Vector spaces. Properties: Sum and Scalar Product. Matrices: Operations. Transposed, Invertible, Identity matrix. Trace of a matrix. Determinant: Properties. Sarrus rule. Systems of linear equations: Reduction to a superior triangular shape. Elimination of Gauss. Eigenvalues and Eigenvectors. Characteristic polynomial
Trigonometry Theorems on right-angled triangles. Applications for any triangles. Carnot's theorem
(reference books)
Dispense distribuite durante le lezioni
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