714-0068 – Mathematics I (MI)
| Gurantor department | Department of Mathematics and Descriptive Geometry |
| Subject guarantor | doc. Ing. Martin Čermák, Ph.D. |
| Study level | undergraduate or graduate |
Subject aims expressed by acquired skills and competences
Mathematics is essential part of education on technical universities.
It should be considered rather the method in the study of technical
courses than a goal. Thus the goal of mathematics is train logical
reasoning than mere list of mathematical notions, algorithms and
methods.
Students should learn how to
analyze problems,
distinguish between important and unimportant,
suggest a method of solution,
verify each step of a method,
generalize achieved results,
analyze correctness of achieved results with respect to given conditions,
apply these methods while solving technical problems,
understand that mathematical methods and theoretical advancements
outreach the field mathematics.
Teaching methods
Lectures
Individual consultations
Tutorials
Other activities
Summary
The functions of one real variable, the derivation of a
function of one variable. Derivations of higher orders. Investigating the
behaviour of functions. Antiderivative and the indefinite integral, some
properties, elementary methods of integration. Linear algebra: Arithmetic
vectors, matrices, determinants, systems of linear algebraic equations.
Compulsory literature:
Recommended literature:
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.