
Detailed information 
Original study plan 
Bachelor's programme Biological Chemistry 2019W 
Objectives 
This course provides the practical application and training for the students concerning the material, formulae and techniques presented in the lecture course Mathematics I. The students are given wellexplained sample exercises and a range of exercises to go through to develop their mathematical skills.

Subject 
The following mathematical topics are covered, these are the same topics as those of the corresponding lecture course:
Vectors: Basic definition of two, three and Ndimensional vectors, components of and algebraic calculations with vectors, coordinate systems, bases and linear independence of vectors, sscalar 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 criteria for successful completion of the tutorial course involve
 regular attendance
 active participation (at least two inclass presentations during the semester)
 correct weekly homework assignments.

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 663MAPHMA1V18: VL Mathematics for Biological Chemistry 1 (3 ECTS) + 663MAPHIMAK19: KV Introduction to Mathematics (1,5 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)

