Academic year/semester: 2024/25/1

ECTS Credits: 6

Available for: All OU students

Lecture hours: 2
Seminarium:
Practice: 2
Laboratory:
Consultation:

Prerequisites: none

Course Leader: Dr. Habil. Katalin Mária Gambár

Faculty: Kandó Kálmán Faculty of Electrical Engineering, 1084 Budapest, Tavaszmező utca 17.

Course Description:
Mathematics Preparatory: Notable identities. Laws of exponentiation, negative exponents, laws of rooting, rational exponents. Handling of absolute value, equations and inequalities. Quadratic equation, quadratic formula, root form. Solving equations, systems of equations, inequalities, systems of inequalities. Examination of the sign of rational fractional functions in root form. Exponential and logarithmic functions, properties, identities. Exponential and logarithmic equations and inequalities. Partial fraction decomposition (basic concepts). Basics of geometry (concepts, notations, some notable theorems). Trigonometry, identities. Coordinate geometry. Arithmetic and geometric sequences (28 hours).

Introduction to Analysis (Calculus): Sequences and their properties. Elementary functions and their properties. Concept of the derivative, properties, applications. Concept of definite and indefinite integrals and their properties (28 hours).

Competences:
Within the scope of the subject, students review the fundamental topics of high school mathematics. They solve tasks and problems related to the field, contributing to the development of their conceptual understanding and problem-solving skills.

Topics:

Assessment: Condition for obtaining a signature: successful completion of mid-term test(s) and submission of homework assignments. Condition for taking the exam: obtaining a signature. Exam method: oral and/or written.

Exam Types:

Oral Exam

Written Exam

Mid Term Exam

Compulsory bibliography: High school mathematics textbooks, Aurél Galántai (ed.): Mathematics I (second edition), Obuda University, 2018.

Recommended bibliography: Thomas’ Calculus, Pearson; 13th edition (February 14, 2014)

Additional bibliography:

Additional Information: