Information on individual educational components (ECTS-Course descriptions) per semester

Discrete Mathematics

The "Linear Algebra" part includes the following chapters:

• Vectors, matrices
• Linear systems of equations
• Linear mappings
• Inverse matrices and determinants
• Scalar product
• Eigenvalues and eigenvectors
• ev. principal axis transformation

The part "Analysis" includes the following chapters:

• Sequences and series
• Limits, convergence and continuity
• The exponential function
• Integration (definite, indefinite, improper)
• Polynomials
• Power and Taylor series
• ev. Fourier-Analysis

Technical and methodological competence (F / M)

In the first part of the course, students develop an understanding of the structures of linear space and linear mappings. Students will know and understand various applications of linear mappings such as computer graphics and also solving systems of linear equations.

In the second part, students develop a basic understanding of the mathematical concept of infinity, its application in the calculation of limits of sequences, series and functions as well as its connection with infinitesimal calculus. Furthermore, the students know and understand applications of calculus such as the use of polynomials and power series for the approximation of functions on the computer.

Through specifically selected forms of learning and teaching, this course also contributes to the training of the following general skills:

Social and communicative competence (S / K)

• Reliability: Comply with rules and agreements and do your own work in the promised quality

Self-competence (S)

• Learning competence and motivation: Ability and willingness to acquire new knowledge independently and to learn from successes and failures
• Adaptability: Engaging in changing conditions and being able to deal with changing situations
• Expressiveness: Ability to use a clear and understandable form of expression and written language as well as a situation-appropriate choice of words

Transfer Competence (T)

• Ability to analyze and present / communicate: Capture and organize assets, extensive and complex relationships in a short time, filter out the essentials and present them in a generally understandable way
• Assessment and problem-solving ability: assessing facts and being able to use them to derive consequences and approaches
• Organizational skills: Be able to implement goals in work tasks and make optimal use of the available resources

Lecture in front of the whole group, exercises in three groups on paper and on the computer. Individual feedback on homework.

Written exam 80% and evaluation of the exercises in the seminar 20%

For a positive grade, a minimum of 50% of the possible points must be achieved in each part of the examination.

Non applicable

Classroom teaching