Theory: 50 %

Practice: 50 %

Recommended semester: 2

Study mode: full-time

Prerequisites: Mathematics I

Evaluation type: exam

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:

Integral calculus of functions with one variable, methods of determining the indefinite integral. Riemann-Integral, Newton-Leibniz formula, applications: calculating area, surface, volume. Calculus of multivariable functions: partial derivatives, extreme value problems; double integral and its applications. Ordinary differential equations (ODE). Separable ODEs, first order linear ODEs, second order linear ODEs of constant coefficients. Applications of differential equations.

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:
Semester requirements: During the semester two tests will be written, for 30-30 points. At the end of the semester the students can write one test to increase their points by replacing the results by the new one. Examination requirements: In the exam period the students write an exam for 40 points. They will be evaluated based on their total points (at most 100 possible) according to the valid TVSZ (regulation of study and examination).
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.