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| Course Description |
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| Course Name |
: |
Analytic Geometry II |
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| Course Code |
: |
MT 122 |
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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 |
: |
Spring (16 Weeks) |
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| ECTS |
: |
5 |
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| Name of Lecturer(s) |
: |
Assoc.Prof.Dr. ZERRİN GÜL ESMERLİGİL
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| Learning Outcomes of the Course |
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Knows the meaning of and how to transformation coordinates in the plane.
Knows the definition of the circle, and tests an equation whether or not it is a circle
Knows definition of elipse, hyperbola and parabola and and knows how to find their formulas
Knows the focus, the principal axes, auxiliary axes, directirix concepts and explain how it works.
Is able to test and determine the type of the curve defined by a quadratic equation.
Is able to explain pencil of conics.
Is able to explain the concepts of line and plane in space and write equations of lines and planes within various situations.
Explains the concept of surface.
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| Mode of Delivery |
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Face-to-Face |
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| Prerequisites and Co-Prerequisites |
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None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
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. |
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| Course Contents |
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Coordinate transformations in the plane, Conics, Pencils of conics, Lines and Planes in Space; the volume of a tetrahedron and symmetry in space, surfaces |
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| Language of Instruction |
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Turkish |
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| Work Place |
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Classroom |
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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 |
Coordinate transformations in the plane: Translations |
Required readings |
Lecture and discussion |
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2 |
Coordinate transformations in the plane: Rotations |
Required readings |
Lecture and discussion |
|
3 |
Review of conics: Circle, Ellipse |
Required readings |
Lecture and discussion |
|
4 |
Review of conics: Hyperbola, Parabola |
Required readings |
Lecture and discussion |
|
5 |
Common definition of conics |
Required readings |
Lecture and discussion |
|
6 |
Second-degree curves in the plane |
Required readings |
Lecture and discussion |
|
7 |
Second-degree curves in the plane (Continued) |
Required readings |
Lecture and discussion |
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8 |
Midterm Exam |
Review |
Written examination |
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9 |
Curve Families: pencils of conics |
Required readings |
Lecture and discussion |
|
10 |
Lines and Planes in Space: Lines |
Required readings |
Lecture and discussion |
|
11 |
Lines and Planes in Space: Plane |
Required readings |
Lecture and discussion |
|
12 |
Various problems related to lines and plane |
Required readings |
Lecture and discussion |
|
13 |
The volume of a tetrahedron and symmetry in space |
Required readings |
Lecture and discussion |
|
14 |
Surfaces |
Required readings |
Lecture and discussion |
|
15 |
Solving Problems |
Solve problems in the textbook |
Solving Problems |
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16/17 |
Final Exam |
Review |
Written examination |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Analitik Geometri , Yazar: 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
|
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. |
4 |
|
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. |
3 |
|
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 |
1 |
|
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 |
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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 |
20 |
20 |
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Total Workload: | 114 |
| Total Workload / 25 (h): | 4.56 |
| ECTS Credit: | 5 |
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