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.
Calculus I (GAINBAN-ANALIZI1-1)
Basic data
Name and type of the study programme
Computer Science Engineering, undergraduate program
Curriculum
2022
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. Ladics Tamás
Responsible department
Department of Basic Sciences
Instructor(s)
Dr. Ladics Tamás
Checked by
Kovács Márk
Course objectives
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.
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 and 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.
Generative AI usage
Not specified
Study aids, laboratory background
Online tananyag a Moodle-n
Readings
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
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