- Docente: Enrico Bernardi
- Credits: 10
- SSD: MAT/05
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Statistical Sciences (cod. 8873)
Learning outcomes
By the end of the course the student should know the basic notions of derivative and integral, and the basic techniques and applications which accompany them. In particular the student should be able to - study real functions - calculate derivatives and integrals - approximate a function by polynomial series expansion
Course contents
1)
Numbers And Functions
2)
Graphs And Curves
3)
Derivative
4)
Sketching Curves
5)
Classical Functions
6)
Integration
7)
Series
8)
Taylor's Formula
9)
Miscellaneous: Complex Numebrs, Vectors
10)
Several Variables Function Theory
Readings/Bibliography
Schaum's Outline of Advanced Calculus, Third Edition
Robert Wrede, Murray Spiegel
https://www.amazon.it/gp/product/0071623663/ref=ox_sc_saved_title_3?smid=A11IL2PNWYJU7H&psc=1
Teaching methods
Traditional black-board based classes and every lecture will be made available through online platforms.
Assessment methods
Written ( and optional oral ) exams. The written exam is articulated in a series of 6 exercises each with a maximum grade of 5 points. Every exercise attains to elements of the syllabus and the relevant Bibliography covered during the course lectures or otherwise hinted at during classes. The (optional ) oral exam may cover the same range of topics as well, while keeping into accont the candidate's perfomance in the previously held written test.
Teaching tools
Notes and supplementary material may be handed out during the course.
Office hours
See the website of Enrico Bernardi