Academic Year 2019/2020
- 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
Spivak Calculus
https://www.amazon.it/Calculus-Michael-Spivak/dp/0914098918/ref=pd_sbs_14_2/258-5436951-0364650?_encoding=UTF8&pd_rd_i=0914098918&pd_rd_r=05644de9-9753-11e9-b53c-91938d565e42&pd_rd_w=0moLe&pd_rd_wg=70W5O&pf_rd_p=37660d27-94f1-4ebe-be01-184b332a9b15&pf_rd_r=8YAVXHTMSZRQ4B90CDA4&psc=1&refRID=8YAVXHTMSZRQ4B90CDA4
http://www.amazon.it/CALCULUS-2ND-ED-TOM-APOSTOL/dp/8126515198/ref=sr_1_1?ie=UTF8&qid=1432729225&sr=8-1&keywords=apostol+calculus
https://www.amazon.com/Calculus-James-Stewart/dp/1285740629/ref=sr_1_32?s=books&ie=UTF8&qid=1465802491&sr=1-32&keywords=calculus+stewart
https://www.amazon.it/Mathematical-Analysis-Tom-M-Apostol/dp/0201002884/ref=sr_1_3?ie=UTF8&qid=1528733776&sr=8-3&keywords=apostol+mathematical
Teaching methods
Traditional black-board based classes.
Assessment methods
Written and 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 oral exam covers the same range of topics as well, with an eye to the candidate's perfomarnce 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