714-0665 – Mathematics I (M I)
| Gurantor department | Department of Mathematics and Descriptive Geometry |
| Subject guarantor | Mgr. Jiří Vrbický, 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
Differential calculus of function of one real independent variable: functionof one variable, elementary functions limit and continuity of a function, differentiation, extreme values of function, point of inflection, convex and concave function, L’Hospital’s rule.
Linear algebra: determinants, matrices, systems of linear equations.
Analytic geometry of the 3-dimensional space.
Compulsory literature:
Recommended literature:
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.