79184 - Mathematics I

Course Unit Page

Academic Year 2018/2019

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

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 final exam.

Teaching tools

Notes and supplementary material may be handed out during the course.

Office hours

See the website of Enrico Bernardi