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                      | 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 well-explained 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.
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                      | 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 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 
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                      | 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)
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