ECTS - Analytic Geometry I
Analytic Geometry I (MATH121) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Analytic Geometry I | MATH121 | 1. Semester | 2 | 1 | 0 | 2 | 4 |
| Pre-requisite Course(s) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Compulsory Departmental Courses |
| Course Level | Bachelor’s Degree (First Cycle) |
| Mode of Delivery | Face To Face |
| Learning and Teaching Strategies | Lecture, Question and Answer, Team/Group. |
| Course Lecturer(s) |
|
| Course Objectives | This course is designed as a first year course for mathematics students. The goal of the course is to recover the sets, relations and functions and cartesian coordinates in the plane, to review line equations and some methods on graphing relations and functions and also graphs in polar coordinates, to have some basic ideas about vectors in the plane with some of their applications, to make some discussions on parabolas, ellipses, hyperbolas with graphs and their applications. |
| Course Learning Outcomes |
The students who succeeded in this course;
|
| Course Content | Fundamental principles of analytic geometry, cartesian coordinates, lines in plane, trigonometry, polar coordinates, rotation and translation in plane, conics. |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Fundamental Principles of Analytic Geometry. CARTESIAN COORDINATES: Cartesian Coordinates in the Plane, Lines in Plane, Graphs of Relations from R to R | pp.2-33 |
| 2 | Trigonometry | pp.35-36 |
| 3 | Trigonometric identities | pp.36-38 |
| 4 | Polar Coordinates | pp.39-44 |
| 5 | Change of Coordinates: Rotation and Translation | pp.45-49 |
| 6 | VECTORS IN THE PLANE: Directed Segments and Vectors, Algebra of Vectors, Scalar Products, Angle Between Two Vectors | pp.54-70 |
| 7 | Midterm | |
| 8 | Lines, Half-Lines and Line Segments, More About Lines: Distance, Bisectors, Symmetry | pp.71-79 |
| 9 | Convex Sets, Half-Planes and Polygones | pp.80-85 |
| 10 | CONIC SECTIONS: Fundamental Definitions, The Parabola | pp.87-95 |
| 11 | Central Conics, The Ellipse | pp.96-102 |
| 12 | The Hyperbola, The Asymptotes of an Hyperbola | pp.103-108 |
| 13 | The General Quadratic Equation | pp.109-116 |
| 14 | Tangents and Polars | pp.117-123 |
| 15 | Review | |
| 16 | Final Exam |
Sources
| Course Book | 1. Analytic Geometry, H. İ. Karakaş, M V (ODTÜ Matematik Vakfı) |
|---|
Evaluation System
| Requirements | Number | Percentage of Grade |
|---|---|---|
| Attendance/Participation | - | - |
| Laboratory | - | - |
| Application | - | - |
| Field Work | - | - |
| Special Course Internship | - | - |
| Quizzes/Studio Critics | - | - |
| Homework Assignments | 5 | 10 |
| Presentation | - | - |
| Project | - | - |
| Report | - | - |
| Seminar | - | - |
| Midterms Exams/Midterms Jury | 2 | 50 |
| Final Exam/Final Jury | 1 | 40 |
| Toplam | 8 | 100 |
| Percentage of Semester Work | |
|---|---|
| Percentage of Final Work | 100 |
| Total | 100 |
Course Category
| Core Courses | X |
|---|---|
| Major Area Courses | |
| Supportive Courses | |
| Media and Managment Skills Courses | |
| Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
| # | Program Qualifications / Competencies | Level of Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Acquires skills to use the advanced theoretical and applied knowledge obtained at the mathematics bachelors program to do further academic and scientific research in both mathematics-based graduate programs and public or private sectors. | X | ||||
| 2 | Transplants and applies the theoretical and applicable knowledge gained in their field to the secondary education by using suitable tools and devices. | X | ||||
| 3 | Acquires the skill of choosing, using and improving problem solving techniques which are needed for modeling and solving current problems in mathematics or related fields by using the obtained knowledge and skills. | X | ||||
| 4 | Acquires analytical thinking and uses time effectively in the process of deduction | X | ||||
| 5 | Acquires basic software knowledge necessary to work in the computer science related fields and together with the skills to use information technologies effectively. | X | ||||
| 6 | Obtains the ability to collect data, to analyze, interpret and use statistical methods necessary in decision making processes. | X | ||||
| 7 | Acquires the level of knowledge to be able to work in the mathematics and related fields and keeps professional knowledge and skills up-to-date with awareness in the importance of lifelong learning. | X | ||||
| 8 | Takes responsibility in mathematics related areas and has the ability to work affectively either individually or as a member of a team. | X | ||||
| 9 | Has proficiency in English language and has the ability to communicate with colleagues and to follow the innovations in mathematics and related fields. | X | ||||
| 10 | Has the ability to communicate ideas with peers supported by qualitative and quantitative data. | X | ||||
| 11 | Has professional and ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications. | X | ||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | |||
| Laboratory | |||
| Application | |||
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | 14 | 2 | 28 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | 5 | 3 | 15 |
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | 2 | 8 | 16 |
| Prepration of Final Exams/Final Jury | 1 | 10 | 10 |
| Total Workload | 69 | ||