Theory: 50 %

Practice: 50 %

Recommended semester: 1

Study mode: full-time

Prerequisites:

Evaluation type: term mark

Course category: compulsory

Language: english

Responsible instructor: Dr. Ladics Tamás

Responsible department: Department of Basic Sciences

Instructor(s): Dr. Ladics Tamás, - nincs

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:

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

Course content - seminars:

Acquired competences:
Knowledge:

Skills:

Attitude:

Autonomy and responsibilities:

Additional professional competences:

The students will become familiar with the basic concepts and tools of advanced mathematical analysis, they know and understand the scientific principles, relations and procedures that are necessary and required in engineering professions. They will be able to recognize a problem of higher mathematics, identify the adequate method to solve it and they can apply the method in a quick and precise manner. They are able to build an adequate mathematical model for a given technical problem, to generalize it for similar cases.

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 they final evaluation. For a satisfactory grade a performance of at least 50% is required
Exam requirements:

Generative AI usage:

Not specified

Study aids, laboratory background:

Compulsory readings:

Recommended readings:

George B. Thomas, Maurice D. Weir, Joel Hass, Frank R. Giordano: Thomas' Calculus,Pearson, 2009.