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 | |
|---|---|
| Major Area Courses | X |
| 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 | Has the ability to apply scientific knowledge gained in the undergraduate education and to expand and extend knowledge in the same or in a different area | X | ||||
| 2 | Can apply gained knowledge and problem solving abilities in inter-disciplinary research | X | ||||
| 3 | Has the ability to work independently within research area, to state the problem, to develop solution techniques, to solve the problem, to evaluate the obtained results and to apply them when necessary | X | ||||
| 4 | Takes responsibility individually and as a team member to improve systematic approaches to produce solutions in unexpected complicated situations related to the area of study | X | ||||
| 5 | Can develop strategies, implement plans and principles on the area of study and can evaluate obtained results within the framework | X | ||||
| 6 | Can develop and extend the knowledge in the area and to use them with scientific, social and ethical responsibility | X | ||||
| 7 | Has the ability to follow recent developments within the area of research, to support research with scientific arguments and data, to communicate the information on the area of expertise in a systematically by means of written report and oral/visual presentation | X | ||||
| 8 | To have an oral and written communication ability in at least one of the common foreign languages ("European Language Portfolio Global Scale", Level B2) | X | ||||
| 9 | Has software and hardware knowledge in the area of expertise, and has proficient information and communication technology knowledge | X | ||||
| 10 | Follows scientific, cultural, and ethical criteria in collecting, interpreting and announcing data in the research area and has the ability to teach. | X | ||||
| 11 | Has professional 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 | ||