COURSE INFORMATON
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 Type
Course Coordinator Prof.Dr. Zerrin Gül ESMERLİGİL
Instructors
Prof.Dr.ZERRİN GÜL ESMERLİGİL1. Öğretim Grup:A
 
Assistants
Goals
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.
Content
Lenear Equations Systems, Planar Coordinates, Ortogonal Coordinates, Vectores, Coordinate Translations on Plane

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 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
Textbook
Additional Resources