Learning objectives
<br />The purpose of the course is to explain basic concepts of Mathematical Analysis and supply a number of fundamental calculation techniques.
Prerequisites
<br />Introduction : numerical and algebraic calculus; powers and logarithms: properties and calculation. Equations, inequalities and systems. Elements of analytical geometry; straight lines and conics. <br /> <br />The functions: basic concepts and analysis of the properties of elementary functions (powers, exponentials, logarithms, trigonometric functions) and graphic representation.<br /> <br />Limits and derivatives: definitions, limits and derivatives of elementary functions and rules of calculation. Study of function: increase and decrease, maxima and minima, concavity and convexity, asymptotes and graph. <br /> <br />Integrals: definition of indefinite integral with examples and definite integral and its geometric significance.
Course unit content
<br />Introduction : numerical and algebraic calculus; powers and logarithms: properties and calculation. Equations, inequalities and systems. Elements of analytical geometry; straight lines and conics. <br /> <br />The functions: basic concepts and analysis of the properties of elementary functions (powers, exponentials, logarithms, trigonometric functions) and graphic representation.<br /> <br />Limits and derivatives: definitions, limits and derivatives of elementary functions and rules of calculation. Study of function: increase and decrease, maxima and minima, concavity and convexity, asymptotes and graph. <br /> <br />Integrals: definition of indefinite integral with examples and definite integral and its geometric significance.
Full programme
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Bibliography
<br />V. VILLANI: 'Matematica per discipline biomediche', McGraw-Hill, Libri Italia.<br /> <br />For exercises: <br />P. MARCELLINI, C. SBORDONE:'Esercitazioni di Matematica', I volume, parte prima e seconda, Liguori Editore.
Teaching methods
<br />The teaching method is based on classroom lessons supplemented by numerous examples and exercises in which student participation is encouraged and requested.<br /> <br />The final examination consists of a written test which may be supplemented by an oral exam: the student must demonstrate that he has mastered the calculation techniques presented and understands the topics covered.
Assessment methods and criteria
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Other information
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