Course Details
Mathematics 1
Academic Year 2026/27
BAA101-K course is part of 1 study plan
BKC-SIS Winter Semester 1st year
The goal of the course is to deepen and strengthen the knowledge gained from high school math. Students will learn new techniques and mathematical methods, enhance their logical thinking, which will allow them to think and apply the knowledge they've gained in their specializations. Students should also learn to analyze a problem, choose the right approach, select the appropriate calculation method, and evaluate the result, which should lead to critical thinking. The course is divided into three topics: the first focuses on the basics of linear algebra; the second covers single-variable calculus; and the third is dedicated to the basics of integral calculus.
Credits
6 credits
Language of instruction
Czech
Semester
Course Guarantor
Institute
Forms and criteria of assessment
Entry Knowledge
Content prerequisites: Knowledge of high school mathematics is required.
Content corequisites: None required.
Aims
Professional Knowledge:
- Familiarity with matrix algebra and its application to solving systems of linear equations. Understanding of the fundamental concepts of differential and integral calculus of functions of one variable, including the geometric interpretation of selected concepts. Introduction to vector calculus and its applications.
Professional Skills:
- The student will acquire proficiency in differentiation and integration techniques and will learn how to analyze the behavior of functions.
- The student will be able to perform matrix operations, carry out elementary matrix transformations, compute determinants and inverse matrices, and solve systems of linear algebraic equations using both the Gaussian elimination method and inverse matrices.
General Competences:
- The student will be prepared to continue further studies that require knowledge and understanding of the topics covered in this course.
Basic Literature
STEIN, S. K: Calculus and analytic geometry. New York, 1989. (en)
LARSON, R.- HOSTETLER, R.P.- EDWARDS, B.H.: Calculus (with Analytic Geometry). Brooks Cole, 2005. (en)
Recommended Reading
TRYHUK, V. - DLOUHÝ, O.: Modul GA01_M01 studijních opor předmětu GA01. FAST VUT, Brno, 2004. [https://intranet.fce.vutbr.cz/pedagog/predmety/opory.asp] (cs)
NOVOTNÝ, J.: Základy lineární algebry. CERM, 2004. (cs)
DLOUHÝ, O., TRYHUK, V.: Diferenciální počet I. CERM, 2009. (cs)
DANĚČEK, J., DLOUHÝ, O., PŘIBYL, O.: Matematika I. Modul 7 Neurčitý integrál. CERM, 2007. (cs)
SLOVAK, J., PANÁK, M., BULANT, M.: Matematika drsně a svižně. MU Brno, 2013. (cs)
BHUNIA, S. C., PAL, S.: Engineering Mathematics. Oxford University Press, 2015 (en)
Prerequisites
Content prerequisites: Knowledge of high school mathematics is required.
Content corequisites: None required.
Offered to foreign students
Course on BUT site
Guided consultation in combined form of studies
6 weeks, 3 hours/week, elective
Self-study
86 weeks, 1 hours/week
Individual preparation for an ending of the course
52 weeks, 1 hours/week