Learning objectives
The goal of this course is to providestudents with a solid background in the basic tools of differential and integral calculus and to illustrate some application in the pharmaceutical field
Prerequisites
<br />Representation of data in a reference system,scales and units of measure, conversion factors.<br />Orthogonal cartesian system and its rules.<br />Powers and scientific notations, order of magnitude.<br />Logarithms and their rules.<br />Equations and inequalities with oe variable and how to graph them
Course unit content
<br />Real function with one real variable: concept of function, basic function and how to graph them<br />Rules of composition. composed and inverse functions.<br />Function limits: definition, theorems and properties. Notable limits.<br />Continuity: theorems and properties of continuous functions.<br />Differential calculus: definition of derivativeand its geometrical interpretation. Derivability of a function. Rules of derivation and calculus. n-th order derivatives.<br />Basic theorems:Rolle, Lagrange, Cauchy and their consequences. De L'Hospital rules and Taylor's approximation.<br />Graphing a function: existence field,asymptotes, increase and decrease, absolute and relative maximums and minimums, singular points,concavity and inflexion points.<br />Integral calculus: integrability of a function. Definite and indefinite integral. Torricelli-Barrow theorem<br />Properties of integrales and rules of integration. Generalized integrals.<br />Calculating the meam value of a function.<br />Differential equations and the Cauchy conditions. First order equations: parting variables or linear.<br />
Full programme
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Bibliography
Information regarding texts will be provided at the beginning of the course
Teaching methods
<br />Lectures with exercises.<br />Written exam followed by an oral exam.
Assessment methods and criteria
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Other information
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