|Course Title||Code||Semester||L+P Hour||Credits||ECTS|
|Analytic Geometry 1 *||MT 123||1||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 understand the coordinate systems in plane and space and to grasp the their geometric properties. To understand the relationship between matrices and systems of linear equations.
Lenear Equations Systems, Planar Coordinates, Ortogonal Coordinates, Vectores, Coordinate Translations on Plane
|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||Systems of Linear Equations||Required readings|
|2||Matrices, Elementary Row Operations and Echelon matrices||Required readings|
|3||Using Matrices to Solve Systems of Linear Equations||Required readings|
|4||Permutations, Determinants||Required readings|
|5||Properties of determinants and Cramers Rule||Required readings|
|6||Plane Coordinates||Required readings|
|7||Rectangular coordinates in space||Required readings|
|8||Midterm exam||Review the topics|
|9||Scalar, directed segments and vectors||Required readings|
|10||Introduction to Vector algebra||Required readings|
|11||Linear dependence and linear independence of vectors||Required readings|
|12||Scalar product of two vectors||Required readings|
|13||Vector multiplication and mixed multiplication||Required readings|
|14||Geometric interpretation and applications of vector multiplication and mixed multiplication||Required readings|
|15||Solving problems||Required readings|
|16-17||Final exam||Review the topics|
|Recommended or Required Reading|