Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematics for Engineering Graphics (17.IGA008)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Engineering Animation (Year: 2, Semester: Summer)

General information:

Category	Academic-general educative
Scientific or art field	Design Teorijska i primenjena matematika Teorijska i primenjena matematika
ECTS	9

In the course students will get introduced to the mathematical contents which are the basis for solving problems in the field of animation and computer graphics. The emphasis is on the connection of practical contents and concepts students are dealing with in other courses within this master programme with the mathematical formulation of those concepts.

Acquisition of complete knowledge about problems, tools and methods within engineering graphics and animation; understanding theoretical – mathematical basis in this field and the practical use.

Linear transformations of vector spaces. Change of base. Algebraic and geometric interpretation in the plane and the space. Affine and perspective geometry. Homogenous coordinates. Translation. Projection. Orthogonal matrices. Euler angles. Quaternions. Curves in the plane. Conic sections. Curves in the space. Displaying and generating surfaces. Rotational and other surfaces. Mapping of the surface. Main topological properties of 2D and 3D objects. Polynomial curve interpolation. Hermite curves, Bezier curves, Bernstein base. Splines. Surface interpolation.

Lectures and auditory practice. Parts of the practice can be organized in the computer laboratory. Consultations.

Authors	Title	Year	Publisher	Language
Vince, J.	Mathematics for Computer Graphics	2017	Springer	English
Michael E. Mortenson	Mathematics for Computer Graphics Applications	1999	Industrial Press, Inc. New York	English
David F. Rogers, J. Alan Adams	Mathematical Elements for Computer Graphics	1990	McGraw-Hill Publishing Company	English

Course activity	Pre-examination	Obligations	Number of points
Project task	Yes	Yes	15.00
Project task	Yes	Yes	15.00
Oral part of the exam	No	Yes	10.00
Written part of the exam - tasks and theory	No	Yes	40.00
Term paper	Yes	Yes	20.00