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) | Alexis Michel apgmichel@gmail.com (Email) |
| Assistant | |
| Objective | Draw a connection between geometry in High School and 2nd year Undergraduate Linear Algebra and Analysis |
| Content | Planar coordinates, orthogonal coordinates, parallel coordinates, polar coordiantes, homogen coordinates, Vectors, Change of basis in a plane, Curves, Classification of planar curves, examples of algebraic curves, conics, Second degre curves in a plane, families of curves |
| Course Learning Outcomes |
1. To classify planar coordinates 2. To perform algebraic operations with vectors 3. To define linear dependence 4. To perform dot product and cross product 5. To perform change of basis in a plane 6. To find translation and rotation functions 7. To investigate properties of curves and conics |
| Teaching and Learning Methods | |
| 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 | Planar coordinates, orthogonal coordinates, parallel coordinates, polar coordiantes, homogen coordinates |
| 2 | Planar coordinates, orthogonal coordinates, parallel coordinates, polar coordiantes, |
| 3 | homogeneous coordinates |
| 4 | Vectors, oriented segments |
| 5 | Linear dependance of vectors |
| 6 | Interior product, exterior product |
| 7 | Interior product, exterior product |
| 8 | Change of coordiantes in a plane |
| 9 | Change of coordiantes in a plane |
| 10 | Mid-term examination |
| 11 | Translations, rotations |
| 12 | Curves, classification of planar curves |
| 13 | Curves, classification of planar curves |
| 14 | Conics, Second degre curves in a plane, families of curves |
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; | X | ||||
| 7 | has a theoretical and practical knowledge in computer science well adapted for learning a programming language; | X | ||||
| 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; | X | ||||
| 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 | ||