After successful completion of the course, students are able to:

• Distinguish, classify and compare elementary functions.
• Solve elementary equations and interpret their results.
• Use derivation rules to calculate derivatives.
• Use differential calculus to calculate tangents and perform a curve discussion.
• Perform methods of integral calculus in various example situations.
• Capture and apply concepts of vector and matrix calculus.
• Develop and solve basic tasks of vector and matrix calculus.
• Interpret and classify number sequences.
• Develop and solve tasks on sequences and series.
• Differentiate, classify, compare, and qualify concepts of probability theory.
• Develop and solve examples of probability calculus.

• Elementary functions, differential and integral calculus
• Vector calculation and matrix calculation
• Sequences and series
• Probability calculus: random experiments, combinatorics, important distributions

• Lecture units to introduce basic concepts and first examples.
• Exercise units for developing a solution strategy for various tasks.
• Online examples for self-study.
• Intermediate tests to prepare for the final test.

Zwischentests über Teilgebiete und ein Abschlusstest über alle Stoffgebiete sind zu absolvieren.