Error message
User error : Failed to connect to memcache server: druportbe01:11211 in dmemcache_object() (line 415 of /production/drupal/dim_prod/drupal/d7cl4/prod/unich/releases/7/web/sites/all/modules/contrib/memcache/dmemcache.inc ).
Course Sheet Academic Year of enrolment:
Professor and Collaborators:
Hours of classroom activity:
Prerequisites:
Mathematical knowledge common to all types of high school
Objectives
Contents Functions, limits, continuity, derivability, integrability according to Riemann.
Extended Syllabus 1. BASIC NOTIONS
1.1 The remarkable products
1.2 First and second degree equations and inequalities
1.3 The powers
1.4 The exponential function
1.5 The logarithmic function
1.6 Trigoniometry: the function sen (x), cos (x) and tan (x)
2. THE SETS
2.1 Numerical sets - The class of Real numbers - Natural, Relative, Rational and Irrational numbers
3. THE FUNCTION STUDY
3.1 Definition and meaning of function
3.2 The field of existence
3.3 The study of the sign (positivity of the function)
3.4 Limits and continuity of the function
3.5 Theorems on derivable functions - Rolle's theorem - Lagrange's theorem - Cauchy's theorem 3.6 The derivative and the search for the maxims and minima of the function
3.7 Resolution models of a function
4. THE INTEGRALS
4.1 Meaning of integral
4.2 Integral of Cauchy
4.3 Integral of Reimann
4.4 Definite integral
4.5 Undefined Integral
4.6 Theorems on integrals
4.7 Integration by substitution
4.8 Integration by parts
4.9 Table of immediate integrals
Recommended Bibliography S.Doria, V. Piattelli
Matematica - Elementi di Teoria e guida alla risoluzione degli esercizi, Aracne Editrice
Teaching Methods The teaching of the subject involves the use of the classic blackboard on which exercises are performed, showing all the steps supported by the related reasoning, for a better understanding of the same.
Evaluation methods Verification of learning:
Contacts/More Information The teacher will meet the students for clarifications and explanations by setting an appointment by email