TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| MATHEMATICS PR. | |
| Code | MT123 |
| Name | Analytic Geometry 1 |
| Term | 2021-2022 Academic Year |
| Semester | 1. 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ZERRİN GÜL ESMERLİGİL |
| Course Instructor |
Prof. Dr. ZERRİN GÜL ESMERLİGİL
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
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.
Course Content
Lenear Equations Systems, Planar Coordinates, Ortogonal Coordinates, Vectores, Coordinate Translations on Plane
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Solves systems of linear equations in different ways. |
| LO02 | Explains the concepts of Plane Coordinates (Number Line, Cartesian, Parallel, Homogeneous and Polar Coordinates) |
| LO03 | Explains the geometric concepts using Cartesian coordinates in space. |
| LO04 | Learns the concept of vector. |
| LO05 | Makes operations on vectors. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Comprehend the ability to prove the mathematical knowledge gained in secondary education on the basis of theoretical basis. | 5 |
| PLO02 | - | Understands importance of basic consepts of Algebra, Analaysis and Topology. | 1 |
| PLO03 | - | Mathematical reasoning demonstrates the ability to develop and write mathematical proofs by gaining maturity. | 4 |
| PLO04 | - | Demonstrate the ability to express the basic theories of mathematics both correctly. | 1 |
| PLO05 | - | Understands the relationship between the different fields of mathematics and its relation to other disciplines. | 4 |
| PLO06 | - | Comprehends the ability to understand the relationships between the objects in the most understandable way while creating a model for any problem. | 3 |
| PLO07 | - | Comprehend and explain mathematical models such as formulas, graphs, tables and schema. | 4 |
| PLO08 | - | Demonstrate the ability to mathematically rearrange, analyze, and model the problems they encounter. | 3 |
| PLO09 | - | Comprehends at least one of the computer programming languages. | 4 |
| PLO10 | - | Demonstrate the ability to use scientific methods and appropriate technologies effectively in problem solving. | 0 |
| PLO11 | - | Understands sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians | 2 |
| PLO12 | - | 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. | 2 |
| PLO13 | - | Understands the programming techniques and shows the ability to do programming. | 1 |
| PLO14 | - | Demonstrates the ability to study mathematics both independently and as a group. | 3 |
| PLO15 | - | Demonstrate an awareness of the universal and social impacts and legal consequences of mathematical applications in the field of study. | 2 |
| PLO16 | - | Demonstrate the ability to select, use and develop effectively for contemporary mathematical applications. | 3 |
| PLO17 | - | It has ability of lifelong learning awareness, access to information, monitoring developments in science and technology and self-renewal ability. | 3 |
| PLO18 | - | Gains the ability to use information technologies effectively for contemporary mathematical applications. | 2 |
| PLO19 | - | Gains the ability to design, conduct experiments, field work, data collection, analysis, archiving, text solving and / or interpretation according to mathematics fields. | 3 |
| PLO20 | - | Gains the consciousness of prefesional ethics and responsibility. | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 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 | Mid-Term 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 | Term Exams | Review the topics | |
| 17 | Term Exams | Review the topics |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||