COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Analytic Geometry II * MT   122 2 3 3 5

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Zerrin Gül ESMERLİGİL
Instructors
Prof.Dr.ZERRİN GÜL ESMERLİGİL1. Öğretim Grup:A
Prof.Dr.ZERRİN GÜL ESMERLİGİL2. Öğretim Grup:A
 
Assistants
Goals
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.
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

Learning Outcomes
-


Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Is able to prove Mathematical facts encountered in secondary school.
X
2
Recognizes the importance of basic notions in Algebra, Analysis and Topology
X
3
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
X
4
Is able to express basic theories of mathematics properly and correctly both written and verbally
X
5
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
X
6
Expresses clearly the relationship between objects while constructing a model
X
7
Draws mathematical models such as formulas, graphs and tables and explains them
X
8
Is able to mathematically reorganize, analyze and model problems encountered.
X
9
Knows at least one computer programming language
X
10
Uses effective scientific methods and appropriate technologies to solve problems
11
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
X
12
In addition to professional skills, the student improves his/her skills in other areas of his/her choice such as in scientific, cultural, artistic and social fields
13
Knows programming techniques and is able to write a computer program
14
Is able to do mathematics both individually and in a group.

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
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 Midterm 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
16-17 Final exam Review the topics

Recommended or Required Reading
Textbook
Additional Resources