
Detailed information 
Original study plan 
Bachelor's programme Biological Chemistry 2019W 
Objectives 
This course introduces students to a range of mathematical concepts and techniques that form the basis for applications inside and outside chemistry, such as the ones required of students enrolled in Biological Chemistry/Chemistry Bachelor and Master programs. The course provides an introduction to the mathematics. During the exercise classes, the application of different mathematical techniques and methods is considered and confirmed by numerous examples. The aim of the course is to provide students with a detailed overview of the major mathematical ideas and methods for solving general and chemistryrelated practical problems.

Subject 
The following mathematical topics are covered:
Vectors: Basic definition of two, three and Ndimensional vectors, components of and algebraic calculations with vectors, coordinate systems, bases and linear independence of vectors, scalar product and cross product of vectors, projection and orthogonality of vectors.
Functions: Definition, representations and examples of functions; symmetry, invertability and composition of functions; fundamental functions (polynomials, exponential, logarithmic, trigonometric functions etc) and their qualitative properties; sequences and series and limits of sequences and series; limits and continuity of functions; differentiation, extreme values of functions, convexity/concavity of functions, full analysis of qualitative properties of functions.

Criteria for evaluation 
The final grade is based on the written exam at the end of the semester (two exam dates are available in KUSSS)
This exam is worth 100 points. To pass the course, at least 50 points must be reached. Additional examination is possible at the beginning of the summer semester.

Language 
English 
Changing subject? 
No 
Further information 
 The Chemistry Maths Book, Erich Steiner, Oxford University Press, 1996, ISBN 0198559135
 Mathematics for Physical Chemistry, Robert G. Mortimer, Elsevier, 2005, ISBN 0125083475
 Maths for Chemistry: A chemist's toolkit of calculations, Paul Monk and Lindsey J. Munro, Oxford University Press, 2010, ISBN 0199541299
 Mathematics for Chemists, .G. Francis, Springer, 1984, ISBN 9789401089500

Corresponding lecture 
in collaboration with 663MAPHIMAK19: KV Introduction to Mathematics (1,5 ECTS) + 663MAPHMA1U18: UE Applications of Mathematics for Biological Chemistry 1 (3 ECTS) + 663MAPHMA2V18: VL Mathematics for Biological Chemistry 2 (3 ECTS) + 663MAPHMA2U18: UE Applications of Mathematics for Biological Chemistry 2 (3 ECTS) equivalent to BCBPMVOMAT1: VO Mathematics for Chemists 1 (2,6 ECTS) + BCBPMUEMTH1: UE Exercises in Mathematics for Chemists 1 (3,2 ECTS) + BCBPMVOMAT2: VO Mathematics for Chemists 2 (2,6 ECTS) + BCBPMUEMTH2: UE Exercises in Mathematics for Chemists 2 (3,2 ECTS)

