Fundamentals of Mathematics

11B1320

Bachelor

German

7.5

winter and summer term

1 semester

Mathematics is the "hidden key technology of the knowledge and information society". Mathematics plays a decisive role in all areas of life in our technical civilization, for example in computer and information technology, communication and transport, and natural sciences and engineering. Furthermore, mathematics is a human cultural achievement and an intellectual highlight. The main educational goals are:

• Introduction to mathematical ways of thinking and models
• Training in the essential mathematical procedures of the specialist disciplines
• Enabling students to learn and apply mathematical procedures 

Fundamentals of Mathematics is a basic module for all engineering degree courses. Basic mathematical knowledge, skills and abilities are taught. The application of these methods in electrical engineering, mechanical engineering, mechatronics, process engineering and/or computer science is demonstrated and practiced by way of example.

1. Fundamentals
2. Vector algebra
3. Linear systems of equations, matrices and determinants
4. Functions of one variable
5. Differential calculus for functions of one variable

The total workload for the module is 225 hours (see also "ECTS credit points and grading").

• Portfolio exam

• written work sample: approx. 8-12 tasks, to be completed in 50-70 minutes, two dates during the semester, the best of the two work samples counts.
• written exam: see current study regulations

Sound knowledge of school mathematics in particular

• arithmetic operations in the real number field (fractions, powers, roots, logarithms)
• familiarity with algebraic calculation rules
• confident manipulation of equations and inequalities, term transformations
• solution of linear and quadratic equations
• understanding of the concept of functions
• introductory knowledge of elementary real functions, their graphs and typical properties
• knowledge of elementary geometry
• simple basics of differential calculus

More important than detailed knowledge is the practiced and confident use of elementary school mathematics procedures (calculation techniques and understanding of methods)

The students have a broad basic knowledge of mathematical methods applicable for engineering and computer science and can name mathematical solution methods.

Students can characterize the areas of application of mathematical methods in engineering scrience and can name the differerences of these methods. They are aware of the prerequisites for the application of 
these methods.

Students will be able to compare mathematical methods from engineering 
and computer science and apply them in a problem-oriented manner. 
They can analyze and solve subject-specific problems using mathematical methods. 
Students are able to proceed in a structured and methodically approach for the creation of solutions.

• Stelzle, Wolfgang

• Büscher, Mareike
• Lenz, Sandra
• Stelzle, Wolfgang
• Wehmöller, Michael
• Ambrozkiewicz, Mikolaj
• Beermann, Mareen
• Niemeyer, Philip