MT122 Analytic Geometry II

5 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit

Information

Code MT122
Name Analytic Geometry II
Term 2024-2025 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
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. ZERRİN GÜL ESMERLİGİL
Course Instructor
1 2
Prof. Dr. ZERRİN GÜL ESMERLİGİL (A Group) (Ins. in Charge)


Course Goal / Objective

The aim of this course is 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

In this course Coordinate transformations in the plane, Conics, Pencils of conics, Lines and Planes in Space; the volume of a tetrahedron and symmetry in space, surfaces are processed.

Course Precondition

Yok

Resources

Analitik Geometri Prof.Dr. RÜSTEM KAYA

Notes

Hacısalihoğlu, H. H., Analitik Geometri, Ankara Üniversitesi Fen Fakültesi Matematik Bölümü, 1995 Silverman, Richard A., Calculus with Analytic Geometry, Prentice- Hall 1985


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 Explains 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 Bilgi - Kuramsal, Olgusal Comprehend the ability to prove the mathematical knowledge gained in secondary education on the basis of theoretical basis. 5
PLO02 Bilgi - Kuramsal, Olgusal Understands importance of basic consepts of Algebra, Analaysis and Topology. 2
PLO03 Yetkinlikler - Öğrenme Yetkinliği Mathematical reasoning demonstrates the ability to develop and write mathematical proofs by gaining maturity. 3
PLO04 Bilgi - Kuramsal, Olgusal Demonstrates the ability to express the basic theories of mathematics accurately both in writing and orally. 4
PLO05 Bilgi - Kuramsal, Olgusal Understands the relationship between the different fields of mathematics and its relation to other disciplines. 4
PLO06 Bilgi - Kuramsal, Olgusal Comprehends the ability to understand the relationships between the objects in the most understandable way while creating a model for any problem. 3
PLO07 Bilgi - Kuramsal, Olgusal Comprehend and explain mathematical models such as formulas, graphs, tables and schema. 4
PLO08 Bilgi - Kuramsal, Olgusal Demonstrate the ability to mathematically rearrange, analyze, and model the problems they encounter. 3
PLO09 Bilgi - Kuramsal, Olgusal Comprehends at least one of the computer programming languages.
PLO10 Bilgi - Kuramsal, Olgusal Demonstrate the ability to use scientific methods and appropriate technologies effectively in problem solving. 2
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Understands sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians 2
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği 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.
PLO13 Yetkinlikler - Öğrenme Yetkinliği Understands the programming techniques and shows the ability to do programming. 2
PLO14 Yetkinlikler - Öğrenme Yetkinliği Demonstrates the ability to study mathematics both independently and as a group. 5
PLO15 Bilgi - Kuramsal, Olgusal Demonstrate an awareness of the universal and social impacts and legal consequences of mathematical applications in the field of study. 3
PLO16 Bilgi - Kuramsal, Olgusal Demonstrate the ability to select, use and develop effectively for contemporary mathematical applications. 4
PLO17 Bilgi - Kuramsal, Olgusal It has ability of lifelong learning awareness, access to information, monitoring developments in science and technology and self-renewal ability. 4
PLO18 Bilgi - Kuramsal, Olgusal Gains the ability to use information technologies effectively for contemporary mathematical applications.
PLO19 Bilgi - Kuramsal, Olgusal Gains the ability to design, conduct experiments, field work, data collection, analysis, archiving, text solving and / or interpretation according to mathematics fields.
PLO20 Bilgi - Kuramsal, Olgusal Gains the consciousness of prefesional ethics and responsibility. 5


Week Plan

Week Topic Preparation Methods
1 Coordinate transformations in the plane: Translations Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
2 Coordinate transformations in the plane: Rotations Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
3 Review of conics: Circle, Ellipse Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
4 Review of conics: Hyperbola, Parabola Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
5 Common definition of conics Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
6 Second-degree curves in the plane Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
7 Second-degree curves in the plane (Continued) Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Gösterip Yaptırma, Problem Çözme
8 Mid-Term Exam Review the topics Ölçme Yöntemleri:
Yazılı Sınav
9 Curve Families: pencils of conics Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
10 Lines and Planes in Space: Lines Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
11 Lines and Planes in Space: Plane Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
12 Various problems related to lines and plane Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
13 The volume of a tetrahedron and symmetry in space Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
14 Surfaces Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
15 Solving problems Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Problem Çözme
16 Term Exams Review the topics Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Review the topics Ölçme Yöntemleri:
Yazılı Sınav


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

Update Time: 25.06.2024 09:50