TÜRKÇE
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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| MATHEMATICS PR. | |
| Code | MT122 |
| Name | Analytic Geometry II |
| Term | 2019-2020 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ZERRİN GÜL ESMERLİGİL |
| Course Instructor |
Prof. Dr. ZERRİN GÜL ESMERLİGİL
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To find the equation of a set of points having a given geometric property and to find the geometric characteristics of a point set defined by an equation.
Course Content
Coordinate transformations in the plane, Conics, Pencils of conics, Lines and Planes in Space; the volume of a tetrahedron and symmetry in space, surfaces
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the meaning of and how to transformation coordinates in the plane. |
| LO02 | Knows the definition of the circle. |
| LO03 | Tests an equation whether or not it is a circle |
| LO04 | Knows definition of elipse, hyperbola and parabola and knows how to find their formulas. |
| LO05 | Knows the focus, the principal axes, auxiliary axes, directirix concepts and explain how it works. |
| LO06 | Determine the type of the curve defined by a quadratic equation. |
| LO07 | Is able to explain pencil of conics. |
| LO08 | Explains the concept of Line. |
| LO09 | Write different line equations. |
| LO10 | Explains the concept of Plane. |
| LO11 | Write different line equations. |
| LO12 | Explains the concept of surface. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Comprehend the ability to prove the mathematical knowledge gained in secondary education on the basis of theoretical basis. | 4 |
| PLO02 | - | Understands importance of basic consepts of Algebra, Analaysis and Topology. | 1 |
| PLO03 | - | Mathematical reasoning demonstrates the ability to develop and write mathematical proofs by gaining maturity. | 3 |
| PLO04 | - | Demonstrate the ability to express the basic theories of mathematics both correctly. | 1 |
| PLO05 | - | Understands the relationship between the different fields of mathematics and its relation to other disciplines. | 4 |
| PLO06 | - | Comprehends the ability to understand the relationships between the objects in the most understandable way while creating a model for any problem. | 3 |
| PLO07 | - | Comprehend and explain mathematical models such as formulas, graphs, tables and schema. | 1 |
| PLO08 | - | Demonstrate the ability to mathematically rearrange, analyze, and model the problems they encounter. | 3 |
| PLO09 | - | Comprehends at least one of the computer programming languages. | 4 |
| PLO10 | - | Demonstrate the ability to use scientific methods and appropriate technologies effectively in problem solving. | 0 |
| PLO11 | - | Understands sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians | 2 |
| PLO12 | - | In addition to their professional development, they demonstrate their ability to continuously improve themselves by identifying their educational needs in scientific, cultural, artistic and social areas in line with their interests and abilities. | 0 |
| PLO13 | - | Understands the programming techniques and shows the ability to do programming. | 0 |
| PLO14 | - | Demonstrates the ability to study mathematics both independently and as a group. | 0 |
| PLO15 | - | Demonstrate an awareness of the universal and social impacts and legal consequences of mathematical applications in the field of study. | |
| PLO16 | - | Demonstrate the ability to select, use and develop effectively for contemporary mathematical applications. | |
| PLO17 | - | It has ability of lifelong learning awareness, access to information, monitoring developments in science and technology and self-renewal ability. | |
| PLO18 | - | Gains the ability to use information technologies effectively for contemporary mathematical applications. | |
| PLO19 | - | Gains the ability to design, conduct experiments, field work, data collection, analysis, archiving, text solving and / or interpretation according to mathematics fields. | |
| PLO20 | - | Gains the consciousness of prefesional ethics and responsibility. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Coordinate transformations in the plane: Translations | Required readings | |
| 2 | Coordinate transformations in the plane: Rotations | Required readings | |
| 3 | Review of conics: Circle, Ellipse | Required readings | |
| 4 | Review of conics: Hyperbola, Parabola | Required readings | |
| 5 | Common definition of conics | Required readings | |
| 6 | Second-degree curves in the plane | Required readings | |
| 7 | Second-degree curves in the plane (Continued) | Required readings | |
| 8 | Mid-Term Exam | Review the topics | |
| 9 | Curve Families: pencils of conics | Required readings | |
| 10 | Lines and Planes in Space: Lines | Required readings | |
| 11 | Lines and Planes in Space: Plane | Required readings | |
| 12 | Various problems related to lines and plane | Required readings | |
| 13 | The volume of a tetrahedron and symmetry in space | Required readings | |
| 14 | Surfaces | Required readings | |
| 15 | Solving problems | Required readings | |
| 16 | Term Exams | Review the topics | |
| 17 | Term Exams | Review the topics |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 20 |
| General Assessment | ||
| Midterm / Year Total | 100 | 20 |
| 1. Final Exam | - | 80 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||