Analysis I (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.
Assessment methods
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