Mathematics 1 MST2.MA1 P231-0002 mst3 5 V 2 U 8 1 yes German Written exam 120 min. MST2.MA1 Mechatronics and Sensor Technology 1 mandatory course MST2.MA1 Mechatronics and Sensor Technology 1 mandatory course 105 class hours (= 78.75 clock hours) over a 15-week period.The total student study time is 240 hours (equivalent to 8 ECTS credits).There are therefore 161.25 hours available for class preparation and follow-up work and exam preparation. MST2.MA2 Mathematics 2 MST2.MA3 Prof. Dr. Gerald Kroisandt gkr Prof. Dr. Gerald Kroisandt gkr After successfully completing this course, students will have acquired the ability to apply elementary, mathematical computing techniques to individual mathematical problems, as well as to solve example applications. Basics of analysis and algebra Sets, sets of real numbers Inequations Mathematical induction, binomial theorem Functions Special functions Basic terms and general properties Sequences and limits Limits and continuity of functions Polynomial functions Rational functions Power functions Algebraic functions Trigonometric functions and inverse trigonometric functions Exponential and logarithmic functions Hyperbolic and area functions Vector algebra Basic terms from vector analysis Vectors in a rectangular coordinate plane The dot product The vector product, normal vector Multiple products of vectors Linear systems of equations Matrices, addition and multiplication, inverse Determinants, definition and properties, rank Linear systems of equations, Gaussian algorithm, solution behavior, Cramer"s rule Differential calculus I Concept of derivation Basic rules of differentiation The derivation of elementary functions Derivative rules Calculation of limits with L "Hospital"s rule Integral calculus I The indefinite integral The definite integral Applications of integral calculus in geometry Blackboard, video projector, transparencies as lecture notes - Papula, Mathematik für Ingenieure und Naturwissenschaftler, Band 1+2 - Meyberg und Vachenauer, Höhere Mathematik, Band 1+2 - Bartsch, Taschenbuch mathematischer Formeln Sun Dec 3 02:50:58 CET 2023, CKEY=m3MST2.MA1, BKEY=mst3, CID=[?], LANGUAGE=en, DATE=03.12.2023