Learning objectives
Provides students with some basic mathematical concepts together with precise language and good ability in formulating and solving problems, and the ability to read and comprehend simple mathematical texts.
Prerequisites
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Course unit content
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Elements of set theory. Numerical sets; N, Z, Q, R . Powers and radicals. Exponentials and logarithms. Equations and inequalities. Complex numbers. Vectors in plane and space. Basic notions in vector algebra. Matrices and algebra of matrices. Determinants. Systems of linear equations. Some elements of analytic geometry in 2-3 dimensional spaces. Analytical representation of points, straight lines, planes, conics and quadrics. Solving problems of elementary geometry using the coordinate method.<br />
Real functions of one real variable. Composed functions. Invertible functions. Limits of functions. Continous functions. The derivative. Some differential calculus theorems. Applications of derivatives to the study of functions. Primitives. Indefinite and definite integrals. The fundamental theorem of integral calculus.
Full programme
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Bibliography
<br />M. Bramanti, C.D. Pagani, S. Salsa, MATEMATICA (Calcolo infinitesimale e Algebra Lineare), Zanichelli, Bologna, 2004.<br />G. Zwirner, Istituzioni di Matematiche (parti 1^ e 2^), Cedam, Padova.
Teaching methods
<br />Frontal lectures and exercises.<br />The exam consist of written and oral tests.
Assessment methods and criteria
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Other information
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