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| MAT 118 | Mathematics - II | 4+0+0 | ECTS:4 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT OF MATHEMATICS AND SCIENCE TEACHING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | -- | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To give student some advanced techniques for their areas of interest. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Explain Matrices and Determinants | 7 | | | LO - 2 : | Explain Solutions of Linear Equations | 7 | | | LO - 3 : | Explain Eigen values, Eigenvectors, Cartesian Coordinate System, Vectors, Linear Independence, Inner Product. Vector Product. Plane Analytical Geometry, Parabola. Hyperbola | 7 | | | LO - 4 : | Explain Rotations and Translations of Axis | 7 | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Matrices and Determinants, Solutions of Linear Equations, Eigen values, Eigenvectors, Cartesian Coordinate System, Vectors, Linear Independence, Inner Product. Vector Product. Plane Analytical Geometry, Parabola. Hyperbola, Rotations and Translations of Axis, Polar, Cylindrical and Spherical Coordinates, Functions of Several Real Variables, Limit, Continuity, Partial Derivatives, Chain Rule, Extremums, Lagrange Multiplier Rule, Taylor and Maclauran Series, Line Integrals, Double Integrals and Theirs Applications, Double Integrals in Polar Coordinates, Green Theorem, Triple Integrals and Their Applications, Triple Integrals in Cylindrical and Spherical Coordinates, Surface Integrals, Stocks Theorem. |
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