- Docente: Paolo Negrini
- Credits: 8
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Industrial Chemistry (cod. 0882)
Course contents
Real numbers; inequalities; absolute
value.
elementary real functions: power functions, roots, exponential and
logarithm; circular and hyperbolic functions and their
inverses.
limits and continuity; basic theorems.
derivatives. basic theorems and applications: tangents to curves,
increasing and decreasing functions, convexity; graphs of
functions; taylor's formula.
integrals in one variable. primitives; integration of rational
functions, integration by substitution and by parts.
ordinary differential equations. methods to solve first order
o.d.e. of linear type or separate variables type, and linear o.d.e.
of higher order whith constant coefficients.
first elements of differential calculus for several variables.
partial derivatives; gradient and hessian matrix. maxima and
minima.
Double integrals: geometric meaning,
calculus by reduction; change of variables; use of polar
coordinates.
Readings/Bibliography
P.Negrini-M.Ragagni, Disequazioni algebriche, Pitagora editrice,
Bologna.
P.Negrini-M.Ragagni, Disequazioni trascendenti, Pitagora editrice,
Bologna.
P.Negrini, Equazioni differenziali, Pitagora editrice,
Bologna.
Further notes and sheets of exercises will be distributed by the
teacher during the lessons.
Teaching methods
front lessons
Assessment methods
written and oral test
Teaching tools
Office hours
See the website of Paolo Negrini