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| MAT 132 | Analysis - II | 6+0+0 | ECTS:6 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of PHYSICS | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 6 hours of lectures per week | | Lecturer | -- | | Co-Lecturer | Prof. Dr. Abdullah Çavuş, Prof. Dr. Mehmet Akbaş | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The aim of the course is to teach the basic mathematical techniques, introducing at the same time a number of mathematical skills which can be used for the analysis of problems. The emphasis is on the practical usability of mathematics; this goal is mainly pursued via a large variety of examples and applications from these disciplines. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Teach the basic mathematical techniques.
| 2,3,7 | | | LO - 2 : | Gain the basic mathematical skills. | 2,3,7 | | | LO - 3 : | Apply the basic mathematical skills to the vocational problems.
| 2,3,7 | | | 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 | | |
| Sequences of numbers and limit theorems, infinite series, conic sections and quadratic equations, polar coordinates, graphs of polar coordinates and integral, vectors in the plane, cartesian coordinates and vectors in space, lines and planes in space, cylinders and quadratic surfaces, cylindirical and spherical coordinates, vector functions, modelling of shot movement, arclenght and unit tangent vector, curvature, torsion and TNB frames, functions of several variables, limit and continuity, partial differentiations, differentiation, linearization and differentials, double Integrals, area, moment and centers of mass, double integrals In polar coordinates, triple integrals in cartesian coordinates, mass and moments in three dimension, triple integrals in cylindirical and spherical coordinates, variable transformation in multiple Integrals, line integrals, vector fields, work, path independence, potential functions, Green's Theorem in plane, surface area and surface integrals, parametrizing surfaces, Stokes's Theorem, the divergence theorem and applications. |
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| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | | | | | | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | | | | |
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