
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 II. 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:
Integral calculus: Definition of definite and indefinite integration, integrals of standard functions, geometric meaning of integration; properties of integrals, fundamental relation between integration and differentiation, integration rules (substitution, integration by part, partial integration).
Complex numbers: definition and calculation rules, algebraic, polar and exponential representation of complex numbers and the corresponding calculation rules.
Linear algebra: vector spaces, matrices, matrix multiplication, inverse of a matrix, systems of linear equations.
Functions in several variables: partial differentiation, gradients Hesse matrix, stationary points for functions in more than one variable.
Integration in several variables.

Criteria for evaluation 
written examination, homework, attendance

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) + 663MAPHMA1U18: UE Applications of Mathematics for Biological Chemistry 1 (3 ECTS) + 663MAPHMA2V18: VL Mathematics for Biological Chemistry 2 (3 ECTS) + 663MAPHIMAK19: KV Introduction to Mathematics (1,5 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)

