Czech

Not applicable.

Knowledge, abilities and competence of students is expected to be seen in following areas:
a) making relevant approximation of function quickly and easily
b) evaluating definite integrals
c) solving differential equations using different methods, knowing their advantages and disadvantages
d) using functions ode23 and ode45 in MATLAB to solve differential equations
e) creating simple m-files, that solve given task with given input values
f) modifying existing m-files to solve different tasks

Knowledge of calculus and approximation of functions is expected. Knowledge of symbolic and numeric calculations in MATLAB and ability to create 2D graphs in this software is expected as well.

Not applicable.

Theoretical knowledge, examples of solutions and applications of tasks in chemistry are presented in lectures. Seminars are used to practise selected tasks and their applications. Students can study from distance learning text: MATLAB počítačová cvičení z matematiky pro chemické aplikace. Additional study material, guides and tasks for practise are provided in LMS Moodle.

Students take three tests during the semester. During the first test (approximations), students submit one m-file and they can receive up to 32 points. At least 16 points have to be achieved, otherwise the result is considered unsatisfactory. During second test (application of integrals) up to 32 points can be gained. Numerical result has to be calculated and at least 16 points gained. During the third test (application of differential equations), appropriate number of m-files is submitted. Result is satisfactory, when numerical result is correct and at least 18 points from a maximum of 36 are achieved. As long as students have satisfactory result on all three tests and do not have an unexcused absence they will be awarded course-unit credit. If any of the tests is unsatisfactory and it is not retaken during the semester, student has to either retake this test, or complete a written exam during the last seminar (for up to 100 points). This exam can be retaken once during exam period. Classification is made using ECTS scale.

Week 1: Lecture - Approximation in 2D in Chemistry, part 1 - least squares method
Week 2: Seminar - Practising approximations of measured data sets
Week 3: Lecture - Approximation in 2D in Chemistry, part 1 - other approximation methods
Week 4: Seminar - Approximations
Week 5: Lecture - Application of integrals
Week 6: Seminar - Practising selected examples
Week 7: Lecture - Application of differential equations, part 1
Week 8: Seminar - Application if integrals
Week 9: Lecture - Application of differential equations, part 1
Week 10: Seminar - Practising tasks with differential equations found in physical chemistry and chemical engineering
Week 11: Lecture - Differential of real function of two real variables
Week 12: Seminar - Correction tests
Week 13: Lecture - Final lecture. Evaluation of achieved results in subject

Not applicable.

Subject's goal is to introduce students to advanced methods of solving mathematical tasks (Mathematics I and Mathematics II). These methods are necessary for studying chemistry. Students are going to learn basics of mathematical informatics and will be prepared for its application in other subjects, especially in subjects with focus on chemistry. This is one of the key competencies according to Bologna conference on European higher education area.

Seminars will be held for two hours every two weeks in specialized IT classroom. Attendance on seminars is mandatory and will be checked. Lectures will be held two hours every two weeks. Attendance on lectures is recommended but not mandatory.

Not applicable.

Not applicable.

POLCEROVÁ, Marie. Doprovodný text k počítačovým cvičením Matematika I. Brno: Fakulta chemická, Vysoké učení technické v Brně, 2001. (CS)
POLCEROVÁ, Marie. MATLAB počítačová cvičení z matematiky pro chemické aplikace. Brno: Fakulta chemická, Vysoké učení technické v Brně, 2018. (CS)

Not applicable.