79184 - Mathematics I

Course Unit Page

Academic Year 2019/2020

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