MATH-101(en) / 6 credits

Teacher: Svaldi Roberto

Language: English


Summary

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

Content

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 value theorem.

Learning Outcomes

  • The intended learning outcomes of this course are that students acquire the following capacities:
  • Reason rigorously to analyse problems
  • Choose appropriate analytical tools for problem solving.
  • Be able to conceptualise in view of the applications of analysis.
  • Apply efficiently mathematical concepts for problem solving by means of examples and exercises
  • Analyze and to solve new problems.
  • Master the basic tools of analysis as, for example, notions of convergence, sequences and series.
  • Studying rigorously real functions we intend that students will demonstrate a deep understanding of calculus

Teaching methods

Ex cathedra/online lectures and exercise sessions with tutors and student assistants.

 

Assessment methods

Written exam

Supervision

Office hours No
Assistants Yes
Forum No
Others

In the programs

  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Number of places: 239
  • Exam form: Written (winter session)
  • Subject examined: Analysis I (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
8-9PO01 CO2  
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     

Wednesday, 8h - 10h: Lecture CO2

Wednesday, 10h - 12h: Exercise, TP CM010
CO121
CO122
CO123
CO124

Monday, 8h - 10h: Lecture PO01