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| Course Description |
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| Course Name |
: |
Analytic Geometry I |
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| Course Code |
: |
MT 121 |
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| Course Type |
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Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
1 |
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| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
4 |
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| Name of Lecturer(s) |
: |
Assoc.Prof.Dr. ZERRİN GÜL ESMERLİGİL
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| Learning Outcomes of the Course |
: |
Solves systems of linear equations in different ways.
Explains the concepts of Plane Coordinates (Number Line, Cartesian, Parallel, Homogeneous and Polar Coordinates)
Explains the geometric concepts using Cartesian coordinates in space.
Learns the concept of vector and makes operations on vectors.
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| Mode of Delivery |
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Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
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. |
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| Course Contents |
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Systems of linear equations. Matrices and determinants. Coordinates in plane. Vectors, operations on vectors. |
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| Language of Instruction |
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Turkish |
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| Work Place |
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Classrooms Faculty of Science Annex |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Systems of Linear Equations |
Required readings |
Lecture and discussion |
|
2 |
Matrices, Elementary Row Operations and Echelon matrices |
Required readings |
Lecture and discussion |
|
3 |
Using Matrices to Solve Systems of Linear Equations |
Required readings |
Lecture and discussion |
|
4 |
Permutations, Determinants |
Required readings |
Lecture and discussion |
|
5 |
Properties of determinants and Cramer´s Rule |
Required readings |
Lecture and discussion |
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6 |
Plane Coordinates |
Required readings |
Lecture and discussion |
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7 |
Rectangular coordinates in space |
Required readings |
Lecture and discussion |
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8 |
Midterm exam |
Review the topics |
Written exam |
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9 |
Scalar, directed segments and vectors |
Required readings |
Lecture and discussion |
|
10 |
Introduction to Vector algebra |
Required readings |
Lecture and discussion |
|
11 |
Linear dependence and linear independence of vectors |
Required readings |
Lecture and discussion |
|
12 |
Scalar product of two vectors |
Required readings |
Lecture and discussion |
|
13 |
Vector multiplication and mixed multiplication |
Required readings |
Lecture and discussion |
|
14 |
Geometric interpretation and applications of vector multiplication and mixed multiplication |
Required readings |
Lecture and discussion |
|
15 |
Solving problems |
Required readings |
Lecture and discussion |
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16/17 |
Final exam |
Review the topics |
Written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Analitik Geometri, Author: Rüstem Kaya
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| |
| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
100 |
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Homeworks/Projects/Others |
0 |
0 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Is able to prove Mathematical facts encountered in secondary school. |
5 |
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2 |
Recognizes the importance of basic notions in Algebra, Analysis and Topology |
1 |
|
3 |
Develops maturity of mathematical reasoning and writes and develops mathematical proofs. |
4 |
|
4 |
Is able to express basic theories of mathematics properly and correctly both written and verbally |
1 |
|
5 |
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines. |
4 |
|
6 |
Expresses clearly the relationship between objects while constructing a model |
3 |
|
7 |
Draws mathematical models such as formulas, graphs and tables and explains them |
4 |
|
8 |
Is able to mathematically reorganize, analyze and model problems encountered. |
3 |
|
9 |
Knows at least one computer programming language |
4 |
|
10 |
Uses effective scientific methods and appropriate technologies to solve problems |
0 |
|
11 |
Knows programming techniques and is able to write a computer program |
2 |
|
12 |
Is able to do mathematics both individually and in a group. |
0 |
|
13 |
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians |
0 |
|
14 |
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 |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
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Final Exam |
1 |
15 |
15 |
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Total Workload: | 109 |
| Total Workload / 25 (h): | 4.36 |
| ECTS Credit: | 4 |
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