|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 Coordinator||Prof.Dr. Zerrin Gül ESMERLİGİL|
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.
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's Contribution To Program|
|No||Program Learning Outcomes||Contribution|
Is able to prove Mathematical facts encountered in secondary school.
Recognizes the importance of basic notions in Algebra, Analysis and Topology
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
Is able to express basic theories of mathematics properly and correctly both written and verbally
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
Expresses clearly the relationship between objects while constructing a model
Draws mathematical models such as formulas, graphs and tables and explains them
Is able to mathematically reorganize, analyze and model problems encountered.
Knows at least one computer programming language
Uses effective scientific methods and appropriate technologies to solve problems
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
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
Knows programming techniques and is able to write a computer program
Is able to do mathematics both individually and in a group.
|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|
|15||Solving problems||Required readings|
|16-17||Final exam||Review the topics|
|Recommended or Required Reading|