Numbers; sequences and series; functions of one real variable; limits and continuity; differential calculus in one variable and approximation; Riemann integral; introduction to differential equations; differential calculus in several variables; curves and surfaces; linear differential forms.
1) M. Bramanti, C.D. Pagani, S. Salsa,"Analisi Matematica 1", Zanichelli (2008)
2) M. Bramanti, C.D. Pagani, S. Salsa,"Analisi Matematica 2", Zanichelli (2009)
3) S. Salsa, A. Squellati, "Esercizi di Analisi Matematica" Vol. 1 e Vol.2, Zanichelli (2011)
Altri testi di consultazione consigliati:
4) G. Anichini, G. Conti, "Analisi Matematica 1", Pearson (2010).
5) G. Anichini, G. Conti, "Analisi Matematica 2", Pearson (2010).
6) Carlo Sbordone, Paolo Marcellini, "Esercitazioni di matematica Volume I", Parte prima e parte seconda
7) M. Boella, “Analisi Matematica 2 - Esercizi”, Pearson (2008)
Learning Objectives
Acquisition of mathematical tools needed for the description and understanding of physical phenomena. Strengthening and development of the attitude to both the analytical and logical deductive reasoning to identify the essential data in the analysis and synthesis of the presentation of possible problems.
Prerequisites
Elementary logic and algebra; literal calculus. Euclidean geometry in 2 and 3 dimenions. Lenght, area, volume of elementary hapes. Analytic geometry: polar coordinates and graphcs of elementary functions. Trigonometry.
Teaching Methods
The course includes the carrying out of lectures and classroom exercises. The number of exercises is expected to be little more than a third of the number of lectures, and may vary slightly in consideration of opportunities
The exam consists of a written part and an oral one. Partial tests are planned during the course, passing these tests is equivalent to passing the written exam.