


Politecnico di Torino  
Academic Year 2009/10  
01BJUEH Calculus 

1st degree and Bachelorlevel of the Bologna process in Territorial, Urban And Environmental Planning  Torino 





Objectives of the course
This course aims to give students basic mathematical instruments of linear algebra, differential and integral calculus. Both theoretical and practical lectures will be held.

Expected skills
Good knowledge of basic mathematical instruments of linear algebra, differential and integral calculus.

Prerequisites
Algebraic calculus, notable products, algebraic fraction, equations, inequalities, etc.

Syllabus
Matrix and related operations. Calculus of determinants, rank and inverse matrix. Functions and their graphical representation. Elementary functions: rational and irrational functions, exponential and logarithmic functions, trigonometric and hyperbolic functions. Concept of limit of a function and its calculus. Continuity and related theorems. Calculus of derivatives. Applications of derivatives. Taylor's polynoms, De L'Hopital's rule. Graphic of a functions. Integral calculus, Indefinite integrals, Definite integrals. Improper integrals.

Laboratories and/or exercises
Exercises will be mainly held in class.

