Czech

6

Not applicable.

Students will acquire basic knowledge of mathematical disciplines listed in the course annotation and will be made familiar with their logical structure. They will learn how to solve mathematical problems encountered when dealing with engineering tasks using the knowledge and skills acquired.

Differential and integral calculus of functions in one variable.

Not applicable.

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Course-unit credit is awarded on the following conditions: Active attendance at the seminars and at least one of the following tests classified better than F (failed): Written tests used to award the credit. First test (Week 7): Problem 1: Calculate a partial derivative Problem 2: Find maxima and minima of a function of several variables Problem 3: Determine the Taylor polynomial of a function Second test (Week 12): Find the solution to three problems in double and triple integrals FORM OF EXAMINATION: The exam has a written and an oral part. In a 90-minute written test, students have to solve the following five problems: Problem 1: Calculate a partial derivative differential, directional derivative, gradient, sketch the domain of a function of two variables, determine the tangent plane and normal to the graph of two function. Problem 2: In differential calculus of functions of several variables Problem 3: Calculate a double integral Problem 4: Calculate a triple integral Problem 5: A theoretical question or a simple problem to test knowledge acquired within the course. During the oral part of the exam, the examiner will go through the test with the student. The examiner may also ask the student some questions to verify his or her knowledge with the exam and its results being completely at the examiner's discretion. The examiner should inform the students at the last lecture at the least about the basic rules of the exam and the assessment of its results. RULES FOR CLASSIFICATION: Problem one: 2 points Problem two to four: five points each Problem five: 3 points Therefore, the student may achieve 20 points in total. Final classification: A (excellent): 20, 19 points B (very good): 18,17 points C (good): 16,15 points D (satisfactory): 14,13 points E (sufficient): 12,11,10 points F (failed): 0 to 9 points.

Not applicable.

Not applicable.

Differential and integral calculus of functions of several variables including problems of finding maxima and minima and calculating limits, derivatives, differentials, double and triple integrals. At seminars, the MAPLE mathematical software is used.
The course aims to acquaint the students with the theoretical basics of the above mentioned mathematical disciplines necessary for further study of engineering courses and for solving engineering problems encountered. Another goal of the course is to develop the students' logical thinking.

Attendance at lectures is recommended, attendance at seminars is required. The lessons are planned on the basis of a weekly schedule. Missed seminars may be made up by the agreement with the teacher supervising the seminar.

Not applicable.

Not applicable.

Thomas G.B. - Finney R.L.: Calculus and Analytic Geometry, 7th edition (EN)
Rektorys K. a spol.: Přehled užité matematiky I,II (SNTL Praha, 1988) (CS)

Karásek J.: Matematika II (skriptum VUT) (CS)
Thomas G.B., Finney R.L.: Calculus and Analytic Geometry (7th edition) (EN)

4 hours, compulsory

Seminars in a computer lab have the programme MAPLE as a computer support. Obligatory topics to go through: Plotting of the graph of a function of more variables (given by explicit, implicit or parametric equations), extrema of functions of more variables.