Coursebooks

PDF

Analysis I (English)

MATH-101(en)

Lecturer(s) :

Patakfalvi Zsolt

Language:

English

Summary

We study the fundamental concepts of analysis, calculus and the integral of real-valued functions of a real variable.

Content

- Reasoning, proving and arguing in mathematics

- Numbers, structures and functions

- Sequences, limit and continuity

- Series of reals

- Real-valued functions of a real variable and convergence

- Differential Calculus and the Integral

 

Keywords

real numbers, function, sequence,convergent/divergent sequence, limit, subsequence, limit of a function, continuous function, series of real numbers, convergent/divergent series, absolute convergence, derivative, class C^k, mean value theorem, Taylor's theorem, Taylor series, Riemann integral, indefinite integral, intermediate valuetheorem

 

Learning Outcomes

Teaching methods

Ex cathedra lecture and exercises in the classroom

Assessment methods

Written exam

Supervision

Office hours No
Assistants Yes
Forum No
Others

Tutoring of exercises

other measures to be defined

In the programs

Reference week

 MoTuWeThFr
8-9BCH2201 CO1  
9-10   
10-11  CM010
CO121
CO122
CO123
CO124		  
11-12    
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
 
      Lecture
      Exercise, TP
      Project, other

legend

  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German