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Analysis 1 (EI)

Module MA9411

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Module version of SS 2014

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
SS 2021WS 2020/1WS 2018/9SS 2014WS 2013/4

Basic Information

MA9411 is a semester module in German language at Bachelor’s level which is offered in winter semester.

This Module is included in the following catalogues within the study programs in physics.

  • Further Modules from Other Disciplines
Total workloadContact hoursCredits (ECTS)
180 h 90 h 6 CP

Content, Learning Outcome and Preconditions


Basics: Real and complex numbers, supremum, mathematical induction, functions, mathematical notation. Sequences, series, limit, continuity, differential and integral calculus.
Calculus (several dimensions): Curves and scalar fields

Learning Outcome

After participation in the course, the student has practiced basic mathematical approaches. The student has the ability to understand essential basic concepts in the area of calculus and to handle independently the calculus of differentiation and integration.
Moreover, the student has acquired basics for the appropriate handling of mathematics in advanced problems from the the area of electrical and computer engineering.



Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

lecture, exercise module


presentations, lecture notes, assignments


Kurt Meyberg, Peter Vachenauer, Höhere Mathematik 1, 6. Auflage, Springer-Verlag, 2001
ISBN 3-540-41850-4
Kurt Meyberg, Peter Vachenauer, Höhere Mathematik 2, 4. Auflage, Springer-Verlag, 2001
ISBN 3-540-41851-2
Christian Karpfinger, Höhere Mathematik in Rezepten, 2. Auflage, Springer-Verlag, 2015, ISBN 3-662-43811-9
Lennart Rade, Bertil Westergren, Springers Mathematische Formeln, 2. Auflage, Springer-Verlag, 2013
ISBN 3-642-97977-7

Module Exam

Description of exams and course work

The module examination is based on a written exam (90 minutes). Students have to know fundamental concepts of analysis and understand differential and integral calculus. They can adequately apply them to advanced problems of electrical engineering and information technology under time pressure. They are able to deal with multiple integrals and nonlinear differential equations.

Exam Repetition

The exam may be repeated at the end of the semester.

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