406-0243-AAL  Analysis I and II

SemesterSpring Semester 2021
LecturersM. Akveld
Periodicityevery semester recurring course
Language of instructionEnglish
CommentEnrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.


406-0243-AA RAnalysis I and II
Self-study course. No presence required.
420s hrsM. Akveld

Catalogue data

AbstractMathematical tools for the engineer
ObjectiveMathematics as a tool to solve engineering problems. Mathematical formulation of technical and scientific problems. Basic mathematical knowledge for engineers.
ContentShort introduction to mathematical logic.
Complex numbers.
Calculus for functions of one variable with applications.
Simple types of ordinary differential equations.
Simple Mathematical models in engineering.

Multi variable calculus: gradient, directional derivative, chain rule, Taylor expansion. Multiple integrals: coordinate transformations, path integrals, integrals over surfaces, divergence theorem, applications in physics.
LiteratureTextbooks in English:
- J. Stewart: Calculus, Cengage Learning, 2009, ISBN 978-0-538-73365-6
- J. Stewart: Multivariable Calculus, Thomson Brooks/Cole (e.g. Appendix G on complex numbers)
- V. I. Smirnov: A course of higher mathematics. Vol. II. Advanced calculus
- W. L. Briggs, L. Cochran: Calculus: Early Transcendentals: International Edition, Pearson Education
Textbooks in German:
- M. Akveld, R. Sperb: Analysis I, vdf
- M. Akveld, R. Sperb: Analysis II, vdf
- L. Papula: Mathematik für Ingenieure und Naturwissenschaftler, Vieweg Verlag
- L. Papula: Mathematik für Ingenieure 2, Vieweg Verlag

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits14 credits
ExaminersM. Akveld
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 240 minutes
Written aids4 sheets DIN A4 (= 8 pages) self-authored summary; no pocket calculator. One formulary from a list distributed in the course unit 401-0242-00L.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

Main linkMoodle-Kurs
Only public learning materials are listed.


No information on groups available.


There are no additional restrictions for the registration.

Offered in

Earth Sciences MasterCourse Units for Additional Admission RequirementsE-Information
Geomatic Engineering MasterCourse Units for Additional Admission RequirementsE-Information
Statistics MasterCourse Units for Additional Admission RequirementsE-Information
Environmental Engineering MasterCourse Units for Additional Admission RequirementsE-Information