Mathematics 02-MATL-12

LEARNING AIMS: Presentation of basic knowledge of higher level mathematics and its applications in chemistry; presentation of contemporary mathematical methods. Development of the ability to choose the proper methods of calculations for specific problems depending on the expected accuracy of results and current practical possibilities. Development of the ability to interpret experimental findings and to use mathematical methods for description of physical phenomena and chemical processes.
LEARNING OUTCOMES: On completion of this module, students should be able to make all necessary mathematical calculations (in the range indicated below) and to recognize and to interpret their implications in chemistry. Students should also formulate basic chemistry problems in the language of mathematical models and should be able to: 1/ use the notation for sets and mappings; elements of logic; algebra of sets; use complete induction principle; 2/ sketch the graphs of elementary functions; 3/ apply the complete induction principle; 4/ describe the notion of a sequence of real numbers and determine whether sequences are convergent or divergent; 5/ use the basic tests for convergence of series; determine whether infinite series are convergent by using various convergence tests; 6/ calculate the limits of real-valued functions; 7/ determine whether given functions are continuous or not; 8/ solve some chemical problems by using the notion of the derivative.