WIBASc165 P450-0065 wi2 4 V 2 U 5 1 yes German Written or oral examination. The type of examination will be announced on the notice board at the beginning of the course. WIBASc165 Industrial Engineering 1 mandatory course 90 class hours (= 67.5 clock hours) over a 15-week period.The total student study time is 150 hours (equivalent to 5 ECTS credits).There are therefore 82.5 hours available for class preparation and follow-up work and exam preparation. WIBASc-515 Automation Engineering WIBASc-525-625-FÜ12 Using Mathematical Software WIBASc-525-625-FÜ19 Simulation II WIBASc-525-625-FÜ23 Simulation WIBASc-525-625-FÜ27 Mathematics III WIBASc-525-625-Ing18 WIBASc-525-625-Ing19 Fluid Energy Machines WIBASc-525-625-Ing21 Fluid Dynamics WIBASc-525-625-Ing22 Automation Technology WIBASc255 Statistics WIBASc265 Mathematics II WIBASc345 Design Technology / CAD WIBASc435 Thermodynamics WIBASc445 Electrical Engineering Prof. Dr. Frank Kneip fkn Prof. Dr. Frank Kneip fkn lecture Prof. Dr. Frank Ulrich Rückert fur lecture Michael Ohligschläger moh exercise After successfully completing this module students will: _ be able to prove suitable statements by means of mathematical induction. _ be able to analyze and name properties of mathematical sequences and selected function types. _ have mastered the elementary techniques of differential and integral calculus. _ be able to approximate functions by Taylor polynomials and assess the quality of their approximation. _ have learned to mathematically model and solve physical-technical as well as economic problems and interpret the result. 1. Mathematical induction 2. Number sequences and limits 3. Principles of functions (e.g. monotony, continuity, boundedness, limits) 4. Introduction to differential calculus a. Differentiability b. Technique of differentiation 5. Applications of differential calculus a. Modeling using examples b. Differential calculus in economics c. Physical-technical applications d. Extreme value tasks 6. Introduction to integral calculus a. Area calculation and definite integrals b. Fundamental theorem of calculus c. Indefinite integrals d. Improper integrals e. Integration techniques f. Solid of revolution 7. Applications of integral calculus 8. Taylor series, infinite series 9. Complex numbers Lecture: _ Lecture at the blackboard, projector _ Demonstrations with the Maple computer algebra system _ Regularly revised lecture notes will be published for the module and additional written materials will be made available electronically. _ Lecture notes and materials are available electronically. _ Discussion forum on the Internet Exercises _ Exercises will be provided weekly and solved independently. _ Mr. Ohligschläger will offer a voluntary tutorial in which the sample solutions of exercises will be discussed and worked on in teams. Computers/software that will be used in the course and/or can and should be used by students for preparation and follow-up: _ Programmable calculator _ Maple computer algebra system _ Papula, Lothar: Mathematik für Ingenieure und Naturwissenschaftler, Band 1, 13. Auflage, Vieweg + Teubner Verlag, 2011 _ Papula, Lothar: Mathematik für Ingenieure und Naturwissenschaftler _ Anwendungsbeispiele; 6. Auflage, Vieweg + Teubner Verlag, 2012 _ Meyberg, K./Vachenauer, P.: Höhere Mathematik 1; 6. Auflage, Springer Verlag, 2001 _ Neunzert, H./Eschmann, W.G. u.a.: Analysis 1; 3. Auflage, Springer Verlag, 1996 _ Leupold, W. u.a.: Mathematik _ Ein Studienbuch für Ingenieure, Band 1; 2. Auflage, Hanser Fachbuchverlag, 2003 _ Preuß W./Wenisch, G.: Lehr- und Übungsbuch Mathematik, Band 1; 3. Auflage, Hanser Fachbuchverlag, 2003 _ Preuß W./Wenisch, G.: Lehr- und Übungsbuch Mathematik, Band 2; 3. Auflage, Hanser Fachbuchverlag, 2003 _ Bartsch, Hans-Jochen: Taschenbuch mathematischer Formeln für Ingenieure und Naturwissenschaftler; 22. Auflage, Carl Hanser Verlag, 2011 _ Papula, Lothar: Mathematische Formelsammlung für Ingenieure und Naturwissenschaftler; 10. Auflage, Vieweg + Teubner Verlag, 2009 _ Teubner-Taschenbuch der Mathematik Bd.1; 2. Auflage, Vieweg + Teubner Verlag, 2003 Wed Oct 7 12:09:06 CEST 2026, CKEY=wwxmi, BKEY=wi2, CID=[?], LANGUAGE=en, DATE=07.10.2026