# 79184 - Mathematics I

## 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

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