Analytic Geometry(MAT116)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| MAT116 | Analytic Geometry | 2 | 4 | 0 | 0 | 4 | 6 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | French |
| Course Type | Compulsory |
| Course Level | Bachelor Degree |
| Course Instructor(s) | Muhammed ULUDAĞ muhammed.uludag@gmail.com (Email) |
| Assistant | |
| Objective | Acquisition of basic notions of planar analytical geometry and complex numbers. Getting used to mathematical reasoning methodology and French mathematical jargon. |
| Content |
Complex numbers. Polar representation. Planar coordinates, orthogonal coordinates, polar coordinates, homogeneuos coordinates. Coordinate transformations in the plane. Curves, classification of plane curves, Karmaşık sayılar. Kutupsal temsil. Düzlemsel koordinatlar, dik koordinatlar, koordinatlar, kutupsal koordinatlar, homojen koordinatlar, uzayda dik koordinatlar, Düzlemde Koordinat Dönüşümler, Eğriler, düzlem eğrilerinin tasnifi, cebirsel eğri örnekleri, konikler, çemberler |
| Course Learning Outcomes | Understanding complex numbers and their geometric representation. Ability to work with vectors in the Euclidean plane prove them. Definition of angles and orthogonality via scalar product. Understanding the notion of affine transformations. Function and parametric curve plots. |
| Teaching and Learning Methods | course and exercice |
| References |
Géométrie, Cours et Exercices, A. Warusfel et al., Vuibert 2002 Géométrie élémentaire, André Gramain, Hermann, 1997. Précis de géométrie analytique, G.Papelier, Vuibert 1950. Exercises de géométrie analytique, P.Aubert, G.Papelier,Vuibert 1953. Cours de géométrie analytique, B. Niewenglowski, Gauthier-Villars, 1894. |
Theory Topics
| Week | Weekly Contents |
|---|---|
| 1 | Complex numbers |
| 2 | Complex numbers |
| 3 | Plane geometry and cartesian coordinates |
| 4 | scalar product |
| 5 | Determinant and oriented angles |
| 6 | Cartesian reference systems |
| 7 | Lines in the plane |
| 8 | Circles in the plane |
| 9 | Mid-term examination |
| 10 | Circles |
| 11 | Plane curves |
| 12 | The group of affine transformations |
| 13 | Introduction to the space geometry |
| 14 | Cartesian, spherical and cylindirical coordinates |
Practice Topics
| Week | Weekly Contents |
|---|
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 3 | 50 |
| Contribution of final exam to overall grade | 1 | 50 |
| Toplam | 4 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 1 | 33 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 2 | 66 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Toplam | 3 | 99 |
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | understands principles of deductive reasoning; has experience to verify well-foundedness and exactness of mathematical statements in systematic ways; | X | ||||
| 2 | can properly state and use concepts and results of major mathematical interest; | X | ||||
| 3 | masters current computational techniques and algorithms; has a good ability in their use; can identify relevant tools, among those one has learned, suitable to solve a problem and is able to judge whether or not one is in possession of these tools; | X | ||||
| 4 | is able to express one’s mathematical ideas in an organised way both in written and oral forms; | X | ||||
| 5 | understands relations connecting substantial concepts and results; can switch from one viewpoint to another on mathematical objects (pictures, formulae, precise statements, heuristic trials, list of examples,...); | X | ||||
| 6 | has followed individually a guided learning strategy; has pursued steps toward the resolution of unfamiliar problems; | |||||
| 7 | has a theoretical and practical knowledge in computer science well adapted for learning a programming language; | |||||
| 8 | has investigated the relevance of modeling and using mathematical tools in natural sciences and in the professional life; is conscious about historical development of mathematical notions; | X | ||||
| 9 | has followed introduction to some mathematical or non-mathematical disciplines after one’s proper choice; had experience to learn selected subjects according to one’s proper arrangement; | |||||
| 10 | masters French language as well as other foreign languages, to a level sufficient to study or work abroad. | X | ||||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 14 | 4 | 56 |
| Working Hours out of Class | 14 | 2 | 28 |
| Assignments | 2 | 1 | 2 |
| Presentation | 2 | 2 | 4 |
| Midterm Examinations (including preparation) | 2 | 5 | 10 |
| Project | 1 | 10 | 10 |
| Laboratory | 1 | 4 | 4 |
| Total Workload | 114 | ||
| Total Workload / 25 | 4,56 | ||
| Credits ECTS | 5 | ||