FACULTY OF ARTS AND SCIENCES
Department of Mathematics
SOCIAL MEDIA
MATH 116 | Course Introduction and Application Information
| Course Name |
Analytic Geometry
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 116
|
Spring
|
3
|
0
|
3
|
6
|
| Prerequisites |
None
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Required
|
|||||
| Course Level |
First Cycle
|
|||||
| Mode of Delivery | face to face | |||||
| Teaching Methods and Techniques of the Course | Problem SolvingQ&ALecture / Presentation | |||||
| Course Coordinator | - | |||||
| Course Lecturer(s) | ||||||
| Assistant(s) | ||||||
| Course Objectives | The aim of this course is to introduce the geometry of lines and conics in the Euclidean plane. Students can develop geometry with a degree of confidence and will gain fluency in the basics of Euclidean geometry. In this course, foundational mathematical training is also pursued. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | The course will focus on the concepts and principles of Euclidean geometry. Conic sections, their classifications, focal properties, and their geometry will be discussed in detail. |
|
|
Core Courses |
X
|
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation |
| 1 | Cartesian coordinates: real numbers, coordinate line, cartesian coordinates in R^2, distance, slope, lines in the plane, parallel and perpendicular lines | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: P1, P2 |
| 2 | Vectors: vectors in the plane, scalar multiple of vectors, vector addition, the norm of a vector (Pythagoras theorem) | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 10.1 |
| 3 | Vectors in space: dot product, the angle between two vectors, vector projection, the norm of a vector (by use of dot product) | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 10.2, 10.3 |
| 4 | The cross product, the triple product, the geometric interpretationsof the cross and the triple products. | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995)Section: 10.4 |
| 5 | Lines and vectors in R^3, parametric and symmetric forms | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 10.5 |
| 6 | Planes, intersection of planes | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 10.5 |
| 7 | Intersection of lines and planes, distance from a point to line in R^3, distance from a point to a plane | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 10.5 |
| 8 | Midterm | |
| 9 | Conic sections, circle, ellipse, hyperbola, parabola and their graphs | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 9.1 |
| 10 | Intersections involving circles | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 9.1 |
| 11 | Classifying conic sections by eccentricity, quadratic equations, translations and relations | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 9.2, 9.3 |
| 12 | Polar coordinates, graphing in polar coordinates | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 9.6, 9.7 |
| 13 | Cylinders and quadratic equations | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 10.6 |
| 14 | Cylindrical and spherical coordinates | George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) Section: 10.7 |
| 15 | Semester Review | |
| 16 | Final Exam |
| Course Notes/Textbooks | “George B. Thomas , Ross, L. Finney ‘’ Calculus and Analytic Geometry’’, 9th Edition, (Addision Wesley, 1995) ISBN-13: 978-0201531749 |
| Suggested Readings/Materials | P. R. Vittal ‘’Analytical Geometry- 2D,3D’’, (Pearson, 2013) ISBN-13: 978-8131773604 |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
40
|
| Final Exam |
1
|
60
|
| Total |
| Weighting of Semester Activities on the Final Grade |
1
|
40
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
60
|
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
| Study Hours Out of Class |
14
|
3
|
42
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
0
|
||
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
40
|
40
|
| Final Exam |
1
|
50
|
50
|
| Total |
180
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics. |
X | ||||
| 2 | To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics. |
X | ||||
| 3 | To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials. |
X | ||||
| 4 | To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning. |
|||||
| 5 | To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals. |
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| 6 | To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project. |
X | ||||
| 7 | To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge. |
|||||
| 8 | To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field. |
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| 9 | To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security. |
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| 10 | To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking. |
|||||
| 11 | To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language. |
|||||
| 12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
|||||
| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
|||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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