MAT4056 GeometryBahçeşehir UniversityDegree Programs MATHEMATICSGeneral Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
MATHEMATICS
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
MAT4056 Geometry Fall 3 0 3 6
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction: English
Type of course: Departmental Elective
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery: Face to face
Course Coordinator :
Recommended Optional Program Components: There is no optional program component.
Course Objectives: Teaching the application of the methods of calculus in geometry. Teaching the ability of determining the mathematical expression of any geometrical object and understanding the properties of the object and its enveloping space by means of calculus of curves and surfaces.

Learning Outcomes

The students who have succeeded in this course;
To adapt himself/herself to Theoretical Physics scientific research topics.
To gain fundamental knowledge in geometry.

Course Content

Foundations of analytical geometry, affine spaces and coordinate systems, Euclidean space and the coordinate plane and space systems, lines and planes in 3-space, verifies, trigonometry and polar, cylindrical, and spherical coordinates, repetition, lines and planes in 3-dimensions, on the basis conics, spacecraft surfaces and cylinders, surface of revolutions , kuadratic surfaces.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) The reminding of Analytic Geometry knowledge.
2) Affine spaces and affine coordinate systems
3) Euclidean space and Euclidean coordinate systems in plane and space
4) lines in space, the review of trigonometry and polar, cylindrical, and spherical coordinates
5) lines in space, review of trigonometry and polar, cylindrical, and spherical coordinates.
6) Lines and surfaces in 3-dimensions
7) The concept of curve in the 2 or 3 Dimensional Eucledian Space and its parametrization. Tangent and Normal Vectors and Scalar Curvature.
8) Basics about conics
9) Basic surface concept in space
10) Cylinders
11) Surface of revolutions
12) Surface of revolutions
13) Quadratic surfaces
14) Quadratic surfaces

Sources

Course Notes / Textbooks: Schaum’s Outline of Theory and Problems of Geometry (Martin Lipschultz)
References: 1. iki ve Üç boyutlu Uzaylarda Dönüşümler ve geometriler,Prof.Dr.H.Hilmi Hacısalihoğlu,Ankara Üniversitesi,Fen fakültesi,Ocak 1998.
2. Kinematik dersleri, H.R.MÜLLER,Çevirenler: Esat EGESOY ve Maide ORUÇ, Ankara Üniversitesi,Fen Fakültesi,1963.

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Quizzes 2 % 20
Homework Assignments 2 % 20
Seminar 1 % 30
Midterms 1 % 30
Preliminary Jury 1 % 50
Final 1 % 50
Total % 200
PERCENTAGE OF SEMESTER WORK % 150
PERCENTAGE OF FINAL WORK % 50
Total % 200

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 3 42
Homework Assignments 5 3 15
Midterms 1 10 10
Final 1 16 16
Total Workload 125

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) To have a grasp of basic mathematics, applied mathematics and theories and applications in Mathematics 5
2) To be able to understand and assess mathematical proofs and construct appropriate proofs of their own and also define and analyze problems and to find solutions based on scientific methods, 5
3) To be able to apply mathematics in real life with interdisciplinary approach and to discover their potentials, 4
4) To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself, 4
5) To be able to tell theoretical and technical information easily to both experts in detail and non-experts in basic and comprehensible way, 4
6) To be familiar with computer programs used in the fields of mathematics and to be able to use at least one of them effectively at the European Computer Driving Licence Advanced Level, 4
7) To be able to behave in accordance with social, scientific and ethical values in each step of the projects involved and to be able to introduce and apply projects in terms of civic engagement, 2
8) To be able to evaluate all processes effectively and to have enough awareness about quality management by being conscious and having intellectual background in the universal sense,
9) By having a way of abstract thinking, to be able to connect concrete events and to transfer solutions, to be able to design experiments, collect data, and analyze results by scientific methods and to interfere, 5
10) To be able to continue lifelong learning by renewing the knowledge, the abilities and the competencies which have been developed during the program, and being conscious about lifelong learning, 3
11) To be able to adapt and transfer the knowledge gained in the areas of mathematics ; such as algebra, analysis, number theory, mathematical logic, geometry and topology to the level of secondary school, 3
12) To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively. 4