Module page
Analisi Matematica I
academic year: | 2013/2014 |
instructor: | Graziano Crasta |
degree course: | Mathematics - DM 270/04 (triennale), I year |
type of training activity: | di base |
credits: | 9 (72 class hours) |
scientific sector: | MAT/05 Analisi Matematica |
teaching language: | italiano |
program: | A-H |
period: | II sem (03/03/2014 - 13/06/2014) |
Lecture meeting time and location
Presence: highly recommended
Module subject:
- Fundamental sequences, Cauchy criterium, completeness of R.
- Uniform continuity and Heine-Cantor Theorem
- Riemann Integral for real functions of a real variable.
- Sequences and Series of functions.
- Vector-valued function of a real variable.
- Local existence and uniquess theorem for differential equations.
Suggested reading:
- Herbert Amann, Joachim Escher: Analysis I;
- Sterling K. Berberian, Fundamentals of real analysis;
- Jaures P. Cecconi, Guido Stampacchia: Analisi Matematica, primo volume;
- Richard Courant and Fritz John: Introduction to calculus and analysis;
- Enrico Giusti: Analisi Matematica I,
- Walter Rudin: Principles of mathematical analysis;
Type of course: standard
Knowledge and understanding: Successful students will be able to deal with topics concerning mathematical analysis, will become proficient and acquainted with subjects such as compactness, uniform continuity, integration theory, sequences and series of functions.
Skills and attributes: Successful students will be able to solve problems concerning functions of one variable and will be well trained in the use of fundamental concepts and tools such as integrals, sequences and series of functions.
Personal study: the percentage of personal study required by this course is the 65% of the total.