Details - Tematika

Economic mathematics I. (MATUBAN-ECOMATH1-1)

Basic data

Name and type of the study programme

Tourism and catering, undergraduate program

Curriculum

2024

Classes / consultation hours

2 + 2 + 0 (L+S+Labs)

Credits

5 credits

Theory – Practice

Theory: 50%, Practice: 50%

Recommended semester

Semester 1

Study mode

full-time

Prerequisites

Evaluation type

Mid-term evaluation

Course category

Compulsory

Language

English

Instructors

Responsible instructor

Dr. Osztényi József

Responsible department

Gazdaságtudományi Kar

Instructor(s)

Wang Shanshan

Checked by

–

Course objectives

The aim of the subject is for students to become familiar with the basic concepts of higher mathematics (calculus) and its methods, as well as to acquire basic knowledge for the further study of mathematical methods for supporting economic decisions.

Course content

Lectures

Subject topics: 1. Concept and graph of a function; Main types of elementary functions and their properties, function transformation; Function given by interval; Economic exercises for functions that can be solved in an elementary way; 2. The concept of an infinite sequence of numbers, how to define them; Definition of monotone bounded sequences; Proof of monotonicity and boundedness of sequences; 3. Introduction of the concept of limit; Concept of convergent series; Important theorems concerning convergent series; Operations with convergent sequences; Limit value of notable series; Solving typical problems; Economic applications of series; 4. Operations with univariate elementary functions; Concept of complex function; Inverse of a function; Concept of continuity of a function; 5. The limit value of a function at a finite point or at infinity; Classification of discontinuities; Differential calculus of univariate functions; Concept of derivative; The equation of the tangent; 6. Derivatives of elementary functions; Differentiation rules; The relationship between differentiability and continuity; Higher order derivatives; Applications of differential calculus; 7. First midterm + Limit value calculation using L'Hospital's rule; Specification of elasticity function; 8. Function analysis, monotonicity, local and global extreme values of functions, convexity, concept and definition of inflection point; Extreme value exercises; Determination of the extreme value, minimum and maximum in the case of economic tasks; 9. Indefinite integral of univariate functions; Concept of primitive function and indefinite integral; Indefinite integral of elementary functions; 10. Main integration methods; Partial integration; Integration by substitution; 11. Definite integral of univariate functions; The concept of the definite integral; Newton-Leibniz formula; 12. Economic applications of integral calculus; The area of a plane enclosed by two curves; Calculating the average for integrable functions + Repetition of the curriculum. 13. Second midterm; Possibility of retaking the midterms

Seminars

The students should take notes of the lectures and seminars, read the referred chapters of the recommended book, and solve the exercises to practice problem solving. Attendance at seminars is mandatory. (You may miss up to 3 seminars.)

Acquired competences

Knowledge

Knowledge of the general and specific mathematical and scientific principles, rules, relationships and procedures necessary for the study of economics.

Skills

The students are able to identify a higher mathematical problem, the method to be used to solve it, and then, on the basis of the method chosen, to solve it quickly and accurately. In the case of practical problems, they are able to construct and select the mathematical model needed to solve the problem, and to generalise the problem in the case of similar problems.

Attitude

Have the stamina and tolerance of monotony to carry out practical activities. Ability to work efficiently, qualitatively and continuously, to work independently and in cooperation with others, and to take responsibility for the work submitted.

Autonomy and responsibilities

Ability to work efficiently, qualitatively and continuously, to work independently and in cooperation with others, and to take responsibility for the work submitted.

Additional professional competences

Not relevant.

Requirements, evaluation and grading

Mid-term study requirements

The exam mark is given on the basis of two mid-term 30-point tests and a 40-point exam. If necessary, a make-up test can be written at the last lecture. The student must score at least 30 points in the mid-term tests to be eligible to sit the exam. Assessment thresholds: 86 - 100% performance: excellent (5) 76 - 85% performance: good (4) 61 - 75% performance: satisfactory (3) 50 - 60% performance: pass (2) - 49% performance: fail (1)

Generative AI usage

Use of GAI tools is fully permitted, provided their use is properly cited and does not compromise achieving the learning outcomes defined in the course description.