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| Detailed information |
| Original study plan |
Bachelor's programme Chemistry and Chemical Technology 2026W |
| Learning Outcomes |
Competences |
| Students can independently formulate mathematical arguments, identify logical fallacies, and choose appropriate proof techniques to solve rigorous algebraic and analytical problems.
They analyze the structural and behavioral properties of real-valued functions and sequences, enabling them to evaluate mathematical models and compute numerical approximations systematically.
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| Skills |
Knowledge |
- Analyze the validity of compound propositions and quantified predicates using truth tables and formal rules of logical reasoning. (k1, k2)
- Determine upper and lower bounds, suprema, infima, and precise limits for real-valued sets and numerical sequences. (k1, k2, k3)
- Explain structural function properties such as injectivity, surjectivity, bijectivity, invertibility, and continuity on specific domains. (k1, k2, k3)
- Calculate permutations, variations, and combinations for distinguishable and indistinguishable objects in combinatorial problems. (k1, k2, k3)
- Optimize functions depending on one parameter using Differential calculus. (k2, k4, k5)
- Determine areas of geometric objects by means of integration and the Fundamental theorem of calculus. (k2, k4, k5)
- Apply numerical approximation methods, specifically the bisection method, to locate zeros of continuous real functions within defined error bounds. (k2, k3, k4)
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- Definitions of foundational algebraic structures, including set operations, mappings, open/closed intervals, Cauchy sequences, and accumulation points.
- Axioms governing the real numbers, specifically field axioms, linear order axioms, and the completeness axiom.
- Theorems such as the Bolzano-Weierstraß theorem, the Intermediate Value theorem, and the Fundamental theorem of calculus.
- Formulas for binomial coefficients, trigonometric addition, hyperbolic functions, and combinatorial counting methods.
- Various elementary analytical techniques including the concepts of differentiation and integration.
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| Criteria for evaluation |
The criteria for successful completion of the tutorial course involve
- regular attendance
- active participation (at least two in-class presentations during the semester)
- correct weekly homework assignments.
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| Language |
English |
| Changing subject? |
No |
| Further information |
- The Chemistry Maths Book, Erich Steiner, Oxford University Press, 1996, ISBN 0-19-855913-5
- Mathematics for Physical Chemistry, Robert G. Mortimer, Elsevier, 2005, ISBN 0-12-508347-5
- Maths for Chemistry: A chemist’s toolkit of calculations, Paul Monk and Lindsey J. Munro, Oxford University Press, 2010, ISBN 0-19-954129-9
- Mathematics for Chemists, G. Francis, Springer, 1984, ISBN 978-94-010-8950-0
Until termin 2026S known as: 663MAPHMA1U18 Applications of Mathematics for Biological Chemistry 1
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| Corresponding lecture |
290MAFSMA1U26: UE Exercises for Mathematics in Chemistry I (3 ECTS)
in combination with
290MAFSTMAK26: KV Tutorium Mathematics for Chemistry (1,5 ECTS)
is equivalent to
290MAFSMC1K19: KV Applications of Mathematics in Chemistry with Exercises I (4,5 ECTS)
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| Is completed if |
663MAPHMA1U18: UE Applications of Mathematics for Biological Chemistry 1 (3 ECTS)
or
290MAFSMC1K19: UE Applications of Mathematics in Chemistry with Exercises I (3 ECTS)
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