Course Name Code Semester T+U Hours Credit ECTS
Geometry IME 104 2 3 + 0 3 5
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Prof.Dr. MELEK MASAL
Course Lecturers
Course Assistants Res.Assist.Mithat TAKUNYACI
Course Category Available Basic Education in the Field
Course Objective Improve structure of mathematical thinking by the help of concept and theorems of basic geometry
Course Content Definition of geometry, its’ struction and using in real life. Axiom, non-defining concept, explanation of theorem. Euclid and non-euclide geometries. Basic axioms of euclid geometry. Relations between point in space, line and plane. Angle concept, kinds of angle, equation of angles and equality axioms, applications on angles. Definition of poligon concept. Definition of trianngle concept, kinds of triangles, basic and aide-components of triangle. Equality axiom and theorems about triangles, applications about equality on triangles, similarity theorems about triangles, applications about similarity on triangles. Proof of trapezoid, parallelogram, equilateral quadrangle, rectangle, square. Applications on quadrangle. Concepts of circle and disk, theorems and proofs of angle and length on circle and disk, applications on angle and length on circle and disk. Properties of matters in space, areas and volumes of solid matters
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Explain and apply definition of geometry,its structure and usage in real life Lecture, Drilland Practice, Testing, Homework,
2 Solve problems related definition of trianngle concept, kinds of triangles, basic and aide-components of triangle, equality axiom and theorems about triangles, applications about equality on triangles. Drilland Practice, Lecture, Homework, Testing,
3 Solve problems related similar triangles, similarity theorems, applications about similarity on triangles. Lecture, Drilland Practice, Testing, Homework,
4 Express relations between concepts of line, plane and point. Drilland Practice, Lecture, Homework, Testing,
5 Explain concepts of angle, poligon, triangle, disk and their applications. Lecture, Drilland Practice, Testing, Homework,
6 Solve problems related properties of matter in space, area and volume of solid matters. Lecture, Drilland Practice, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Definition of geometry, its’ struction and using in real life. Axiom, non-defining concept, explanation of theorem. Euclid and non-euclide geometries. Basic axioms of euclid geometry. Relations between point in space, line and plane.
2 Angle concept, kinds of angle, equation of angles and equality axioms, bisector, theorems related angles and applications on angles
3 Definition of trianngle concept, kinds of triangles, basic and aide-components of triangle. Equality axiom and theorems about triangles, applications about equality on triangles.
4 Basic theorems and applcations related isosceles triangle, equilateral triangle, right-angled triangle
5 Similar triangles, similarity theorems, applications about similarity on triangles, metric relations on right-angled triangle
6 I., II. Thales Theorems, bisector theorem, Menelaus Theorem, Ceva Theorem.
7 Definition of poligon concept, proof of related theorems as on quadrangle, parallelogram, equilateral quadrangle, rectangle, square, deltoid, trapezoid, isosceles trapezoid, applications related quadrangles
8 Concepts of circle and disk, angle, arc, chord, tangent, theorems and proofs related length on circle and disk, applications related angle and length on circle and disk.
9 Mid – Term Exam
10 Inscribed quadrilateral, calculation on length of circle and arc, tangent quadrangle, common tangent of two circle, power of point according to circle, concept of geometrical place, basic drawings ( as drawing triangle given some elements…)
11 Areas of polygonal regions, areas of polygons, areas of regular polygons, calculations on disk, properties of matters in space, solid matter, prisms, right and oblique prisms
12 Areas and volumes of prisms, pyramids, areas and volumes of pyramids, applications related prisms and pyramids
13 Conic, area and volume of conic, cutting pyramids, area and volumes of cutting pyramids, applications related conic and cutting pyramids
14 Sphere, slice of sphere, concept of sphere cover, their area and volumes, applications related sphere.
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Have general information about basic concept, theory and applicaitons on mathematics X
2 Have ability of mathematical thinking and apply to real life X
3 Classify a problem systematically also create comprehensible, understandable and objective solutions X
4 Establish relationship among events looked different X
5 Get clear and exact ideas about relationships among time, place and numbers X
6 Use principles of scientific method on problem solving X
7 Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed X
8 Think creative and critical X
9 Improve methods as fast, understandable and practical to faced problems X
10 Have information about national and international modern problems
11 Get life long learning behaviour X
12 Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System X
13 Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers.
14 Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment.
15 Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) X
Evaluation System
Semester Studies Contribution Rate
1. Ödev 100
Total 100
1. Yıl İçinin Başarıya 40
1. Final 60
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 10 10
Quiz 2 4 8
Assignment 1 5 5
Final examination 1 15 15
Total Workload 134
Total Workload / 25 (Hours) 5.36
dersAKTSKredisi 5