Theory: 50 %

Practice: 50 %

Recommended semester: 1

Study mode: full-time

Prerequisites: -

Evaluation type: term mark

Course category: compulsory

Language: english

Responsible instructor: Dr. Végh Attila

Responsible department: Department of Basic Sciences

Instructor(s): Dr. Ladics Tamás

Course objectives:
The aim of the course is to make the students learn the basic concepts and tools of advanced mathematical analysis that are necessary and required in engineering studies and later on in their profession.

Course content - lectures:

1. Three-dimensional vectors. 2. Solving systems of linear equations. 3. Matrices, multiplication of matrices, inverse matrix, rank. 4. Linear transformations, eigenvector, eigenvalue. 5. Complex numbers. Elementary operations of complex numbers. 6. Power and nth root in trigonometric form. 7. Real sequences and their properties. Convergence, special limits. 8. Real functions of a single variable. Elementary functions and their properties. 9. Limits of real functions, continuity. 10. Differential calculus of one variable functions. 11. Rules and procedures of differentiation. 12. Applications of differential calculus: sketching graphs. 13. Local and global extrema, shape of curves.

Course content - seminars:

Solving exercises and practical problems related to the knowledge covered in the lecture, practising at skill level.

Acquired competences:
Knowledge:

- Knowledge of the principles and methods of natural sciences (mathematics, physics, other natural sciences) relevant to the field of IT.

Skills:

Attitude:

- He/she makes an effort to work efficiently and to high standards.

Autonomy and responsibilities:

Additional professional competences:

- Efficient use of digital technology, knowledge of digital solutions to fulfill educational objectives

Requirements, evaluation, grading:
Mid-term study requirements:
During the semester two tests will be written. At the end of the semester the students can write one test to improve their final evaluation. For a satisfactory grade a performance of at least 50% is required.
Exam requirements:

Study aids, laboratory background:

Online tananyag a Moodle-n

Compulsory readings:

George B. Thomas, Maurice D. Weir, Joel Hass, Frank R. Giordano: Thomas' Calculus, Pearson, 2009. ISBN: 978-963-2790-11-4

Recommended readings: