Modul

The assessment consists of two written exams of 90 min each (in accordance with §4(2), 1 of the examination regulations). The first (midterm) exam takes place after half of the course, the second (final) exam takes place shortly after the end of the lectures. Auxiliary means such as literature or calculators are not allowed.

Resit exams for both exams are offered in the first weeks of the subsequent semester. Both resit exams will take place on the same day.

Candidates who have not passed the corresponding midterm or final exam, as well as those who have not yet taken a first attempt, will be eligible for the resit exams.

Oral re-examinations (in accordance with $9(1) of the examination regulations) for the midterm or final exam take place as individual examinations.

Both the midterm and final exams must be passed individually.

Students

• are confident with basic terms and definitions of mathematical language (propositions, sets, number systems, mappings, etc.),
• have a basic knowledge of differentiable calculus for functions of a single variable,
• know basic concepts of matrix theory,
• have a basic knowledge of integral calculus in a single variable.

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The course Mathematics 1 is the first part of the three semester basic training in higher mathematics. Topics are

• Propositional logic and basic set theory,
• Combinatorics and principles of counting,
• Number systems and basic arithmetics,
• Convergence of sequences and series,
• Continuous functions,
• Differentiable functions,
• Power series and special functions,
• Taylor's theorem,
• Riemann integral,
• n-dimensional vector spaces,
• Systems of linear equations,
• Scalar product, length and angle,
• Linear mappings and matrices,

There are no prerequisites. It is strongly recommended to attend the three maths courses in the order Mathematics 1, Mathematics 2, Mathematics 3.

Work load: 300 hours (10 ETCS)

Classes: 150 hours

Preparation of courses and examinations: 150 hours