ECTS - Analytic Geometry II
Analytic Geometry II (MATH122) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Analytic Geometry II | MATH122 | 2. Semester | 3 | 0 | 0 | 2 | 6 |
| 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 | The course is designed as a continuation of MATH121 Analytic Geometry I and aims to recover rotation and translations in plane, to have some basic ideas about vectors in 3-space with some of their applications, lines and planes in 3-space and surfaces in 3-space together with their graphs. |
| Course Learning Outcomes |
The students who succeeded in this course;
|
| Course Content | Cartesian coordinates in 3-space, vectors, lines and planes, basic surfaces, cylinders, surface of revolutions. |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Cartesian Coordinates in 3-space, VECTORS IN THREE SPACE: Directed Segments and Vectors | pp.50-53, pp.124-126 |
| 2 | Algebra of Vectors in 3-Space | pp.127-131 |
| 3 | Scalar Product, Angle Between Two Vectors | pp.132-133 |
| 4 | 2x2 and 3x3 Matrices and Determinants | pp.166-168, pp.203-216 |
| 5 | Cross Products | pp.134-136 |
| 6 | Lines in 3-Space | pp.137-143 |
| 7 | Midterm Exam | |
| 8 | Planes | pp.144-149 |
| 9 | Distance From a Point to a Plane or to a Line | pp.150-154 |
| 10 | Families of Planes or Lines | pp.155-157 |
| 11 | Intersection of Three Planes | pp.186-187 |
| 12 | SURFACES: Spheres and Cylinders | pp.231-233 |
| 13 | Surfaces of Revolution | pp.234-236 |
| 14 | Canonical Equations of the Quadric Surfaces | pp.237-245 |
| 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 | 60 |
|---|---|
| Percentage of Final Work | 40 |
| 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 | 3 | 42 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | 5 | 5 | 25 |
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | |||
| Prepration of Final Exams/Final Jury | 1 | 15 | 15 |
| Total Workload | 82 | ||