Modul

The assessment consists of two written exams of 60 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.

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.

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,
• Systems of linear equations,
• Convergence of sequences and series,
• Mappings and functions,
• Continuous functions,
• Differentiable functions,
• Power series and special functions,
• Taylor's theorem.

There are no Prerequisites. We strongly recommend to attend the three maths courses in the order Mathematics 1, Mathematics 2, Mathematics 3.

work load: 210 hours (7 ECTS)
classes: 60 hours lectures + 30 hours exercises