151-0561/01 – Applied Mathematics (ApMath)
Gurantor department | Department of Mathematical Methods in Economics | Credits | 6 |
Subject guarantor | prof. RNDr. Dana Šalounová, Ph.D. | Subject version guarantor | prof. RNDr. Dana Šalounová, Ph.D. |
Study level | undergraduate or graduate | Requirement | Choice-compulsory |
Year | 2 | Semester | winter |
| | Study language | English |
Year of introduction | 2010/2011 | Year of cancellation | 2021/2022 |
Intended for the faculties | EKF | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
The aim of this subject is to give knowledge about basic practical applications of some notions of advanced mathematics and in this way to help students acquire the mathematical skills they need for reading the technical literature and for further study of quantitative methods in economics.
Teaching methods
Lectures
Tutorials
Summary
The aim of this subject is to give knowledge about basic practical applications of some notions of advanced mathematics and in this way to help students acquire the mathematical skills they need for reading the technical literature and for further study of quantitative methods in economics.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Tests.
Homeworks.
E-learning
Other requirements
Tests. Homeworks.
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Linear equations – solutions of linear equations by row operations, consistent and inconsistent systems, linear equations in matrix form, the input-output model.
2. Calculus of one real variable functions – applying the derivatives to investigation of functions, introduction to optimisation, the derivatives in economics.
3. Further topics in integration – partial fractions, economic applications of integration.
4. Functions of several variables – partial derivatives, multivariable optimisation, constrained optimisation, the Lagrange multiplier method.
5. First-order differential equations – separable differential equation, linear equations with a variable coefficient, continuous-time models.
6. Second-order differential equations – linear equations with constant coefficients, solution of homogeneous equations, non-homogeneous equations.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.