230-0202 – Mathematics II (BcM II)
| Gurantor department | Department of Mathematics |
| Subject guarantor | RNDr. Petr Volný, 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
Integral calculus of function of one real variable: the indefinite and definite
integrals, properties of the indefinite and definite integrals, application in
the geometry and physics. Differential calculus of functions of several
independent variables. Ordinary differential equations of the first and the
second order.
Compulsory literature:
Hass, J.R.; Heil, C.E.; Bogacki, P.; Weir, M.D.: Thomas' Calculus, 15th Ed., Pearson, 2023.
Volná, J.; Volný, P.: Worksheets for Mathematics II, VŠB-TUO, 2021; http://mdg.vsb.cz/portal/en/Mathematics2_worksheets.pdf
Recommended literature:
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.