C2140 Applied Mathematics in Chemistry

Faculty of Science
Spring 2009
Extent and Intensity
1/0/0. 1 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
Mgr. Zdeněk Kříž, Ph.D. (lecturer)
Guaranteed by
Mgr. Zdeněk Kříž, Ph.D.
National Centre for Biomolecular Research – Faculty of Science
Timetable
Tue 13:00–13:50 C04/211
Prerequisites
It is strongly suggested that the student went through the course C1470 or C1475.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The course extend the knowledges from the course C1470 or C1475. Main objectives of the course are solutions of chemical problems using mathematical tools. At the end of this course, students should be able to work with objectives in 3D space, to transform coordinates systems. Students should also solve differential equations based on chemical problems. The numerical methods of integration and differentiation procedures will be introduced.
Syllabus
  • 1.Vector algebra, vector spaces 2. Analytical geometry in the 2D and 3D space, geometrical objects and their mathematical representation. 3. Transformation of coordinates of the molecules. 4. Differential calculus of the single variable function - total differential. 5. Taylor series and their applications in molecular mechanics 6. Differential equations of the 1. order - solution of the problems in chemistry. 7. Differential equations of the 2. order - solution of the problems in chemistry. 8. Numerical methods of differentiation 9. Numerical methods of integration 10. Differential equations in chemistry problems 11. Fouriere series 12. Probability - random numbers and their using in chemical problem solution.
Literature
  • PÓTA, György. Mathematical problems for chemistry students. 1st ed. Amsterdam: Elsevier, 2006, viii, 250. ISBN 044452794X. info
  • MACKENZIE, A. Mathematics and statistics for life scientists. 1st pub. New York: Taylor & Francis, 2005, vi, 175. ISBN 1859962920. info
  • TURRELL, George. Mathematics for chemistry and physics. San Diego: Academic Press, 2002, xiv, 408. ISBN 0127050515. info
Assessment methods
Written test.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019.
  • Enrolment Statistics (Spring 2009, recent)
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