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OA19MUA1 - Mathematics in architecture 1

Course specification
Type of studyBachelor academic studies
Study programme
Course titleMathematics in architecture 1
AcronymStatusSemesterNumber of classesESPB
OA19MUA1mandatory11П + 2В4.0
Lecturers
Lecturer (for classes)
Lecturer/Associate (for practice)
ConditionОблик условљености
-
The goal
Introducing students to the application of geometry in architecture, and mastering the elements of linear algebra and analytical geometry for their application in professional subjects. Connecting knowledge from the curriculum with descriptive geometry.
The outcome
Introduction and understanding of basic geometric concepts and their mutual relations; Acquisition of basic mathematical knowledge of linear algebra necessary for mastering some professional subjects; Emphasis is placed on plane and space geometry, and the application of geometry in architecture.
Contents
Mathematics in architecture, significance and application; Euclidean geometry in plane and space: point, line, plane, geometric bodies, regular polyhedra; Second order curves: circle, ellipse, parabola, hyperbola; Fundamentals of linear algebra: systems of linear equations, matrices, determinants; Vector spaces; Free vector in space; Scalar, vector and mixed vector product; Analytic geometry of space; Surfaces of the second order with application in architecture.
Methods of teaching
Lectures, exercises, consultations, independent work
Literature
  1. Snježana Maksimović, Sandra Kosić-Jeremić, Nebojša Đurić: Linear algebra and analytical geometry for students of technical faculties of the University of Banja Luka, Banja Luka, 2018.
  2. R. Kravarušić, M.Mijatović: Mathematics - Collection of Problems, Faculty of Economics, Banja Luka, 2002
  3. P. Miličić, M. Usćumlić: Collection of problems in higher mathematics 1, Science book, Belgrade 1999.
Облици провјере знања и оцјењивање
Colloquia, written and oral exam, class activity
Посебна назнака
нема