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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 I. The students are given well-explained sample exercises and a range of exercises to go through to develop their mathematical skills.  
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                      | 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 N-dimensional 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.
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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 
 
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                      | 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)
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