Mathematics 02-MATL-22

Presentation of basic knowledge of higher level mathematics and its use 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, a student should be able to: 1/ add and multiply matrices; calculation determinants of square matrices; compute the inverse of a square matrix; 2/ solve systems of linear equations; 3/ find the eigenvalues and eigenvectors of a matrix; 4/ compute indefinite integrals by the methods of substitution and integration by parts; 5/ compute integrals of rational functions, some irrational functions and trigonometric functions; 6/ understand the Riemann integral and some of its properties and applications; 7/ determine partial derivatives of functions of several variables; 8/ obtain the stationary points of functions of several variables, investigation of extreme of functions of one or several variables; 9/ evaluate simple double integrals; evaluate multiple integrals in rectangular coordinates; evaluate multiple integrals using change of variables; applications of multiple integrals; 10/ calculate on complex numbers 11/ compute improper integrals; 12/ solve simple ordinary or partial differential equations.