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MATHCMATICS

Course codę: 11.1-W1LŚ- BUD- MAT1-IA01 Type of course: compulsory

- .    . knowledge of mathematical analysis and

Entry requ,remenls: _veclorca^H|cu|us

Language of instruction: Polish

dr Krzysztof Feledziak

Director of studies: Faculty of Mathematics, Computer Science and Econometrics

Name of lecturer: dr Krzysztof Feledziak

Form of instruction	M - 3 ® za !?i ^Z"l 0 O.	w \U m o	« • E « co	Form of receiving a credit for a course	Number of ECTS credits allocatcd
Full*time studies					6
Lecture	45	3		Exam
Class	45	3		Grade
Laboratory
Seminar
Workshop
Project
Part-time studies
Lecture	20	2		Exam
Class	30	3		Grade
Laboratory
Seminar
Workshop
Project

COURSE CONTENTS:

Sets, Relations and Functions, Infinite Sequences and Series, Limits and Continuity of Functions. The Derivative and Applications of Derivative, Indefinite Integrals and Definite Integrals. Complex Numbers. Matrices and Determinants. Systems of Linear Equations, Vectors and topics of Analytic Geometry. Functions of Several Variables, Partial Derivatives and Differentials. Extrema of Functions of Several Variables. Lagrange Multipliers. Multiple Integrals. Linę Integrals and Surface Integrals. First-Order Differential Equations and Second-Order

Faculty of Cńril and Environmental Engmeering Subject area of studies: Civil Engmeering