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Coursebooks
Analysis I (English)
MATH-101(en)
Lecturer(s) :
Patakfalvi ZsoltLanguage:
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
- 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 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
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
- SemesterFall
- Exam formWritten
- Coefficient
6 - Subject examined
Analysis I (English) - Number of places
239 - Lecture
4 Hour(s) per week x 14 weeks - Exercises
2 Hour(s) per week x 14 weeks
- Semester
Reference week
Mo | Tu | We | Th | Fr | |
---|---|---|---|---|---|
8-9 | BCH2201 | 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