MATH-101(en) / coefficient 6

Teacher: Mountford Thomas

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 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.

Written exam

## Supervision

 Office hours No Assistants Yes Forum No Others

## In the programs

• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory
• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory
• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory
• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory
• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory
• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory
• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory
• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory
• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory
• Semester: Fall
• Number of places: 216
• 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
• Type: mandatory

## Reference week

Monday, 8h - 10h: Lecture PO01

Wednesday, 8h - 10h: Lecture CO2

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

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