| Course ID: | PZI-SE>0022.3.E |
| Course title: | ALGEBRA |
| Semester: | 1 / Winter |
| ECTS: | 6 |
| Lectures/Classes: | 30 / 30 hours |
| Field of study: | Production Engineering and Management |
| Study cycle: | 1st cycle |
| Type of course: | --- |
| Prerequisites: | high school mathematics |
| Contact person: | Hanna Okrasińska-Płóciniczak; hanna.okrasinska-plociniczak@upwredu.pl |
| Short description: | During the course, algebra issues will be discussed and practiced in practical problems: complex numbers, matrices, elements of linear algebra, transformations of spaces in R2 |
| Full description: | Foundation of mathematical logic. Complex numbers and it's geometric interpretation. Fundamenta theorem of algebra - complex equation. Matices: operations, characteristics (rank, determinants), inverse matrix, matrix equations. Systems of linear equationas. Different solving methods. Eigenvalues and eigenvectors, characteristic polynomial of a matrix. Plane analytical geometry and it's linear transformations. Vector space. |
| Bibliography: | Jay Lehmann, Elementary Algebra (Custom Edition for Chemeketa Community College), Pearson Custom Publishing 2008 Nathaniel Johnston, Introduction to Linear and Matrix Algebra, Springer Nature Switzerland AG, 2020 |
| Learning outcomes: | The student understands the importance of mathematics and its applications. They know the basic theorems of the known branches of mathematics. They know the selected concepts and methods of mathematical logic, algebra and geometry. |
| Assessment methods and assessment criteria: | lecture - written exam (50%) practical classes - test (50%) |