Ordu University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
FMA643	TENSOR GEOMETRY I	Compulsory	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

•to learn the basic concepts of tensor geometry is to be ready to scientific studies.

Name of Lecturer(s)

Yrd. Doç. Dr. Seher ASLANCI

Learning Outcomes

1	To have the ability and knowledge of the advanced level of related to the field and use it in real learning environments

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

• Basic Concepts • Tensors • Exterior Algebra • Symmetric inner product and the symmetric algebra • Curvature tensors and examples of curvature tensors

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Basic Concepts
2	Real Vector Spaces
3	Affine Spaces
4	Dual Vector Spaces
5	Metric Vector Spaces
6	Tensors
7	Multi-Linear Forms
8	Midterm exam,
9	Exterior Algebra
10	Exterior Algebra
11	Symmetric inner product and the symmetric algebra
12	Symmetric inner product and the symmetric algebra
13	Curvature tensors and examples of curvature tensors
14	Curvature tensors and examples of curvature tensors
15	Curvature tensors and examples of curvature tensors
16	Final exam

Recommended or Required Reading

1.Dodson, C. T. J. ve Poston, T., (1979), ‘Tensor Geometry’, Fearon Pitman Pub. Inc. California. 2.Arif SALİMOV, Abdullah MAĞDEN, Differential Geometry, Erzurum.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Makeup Examination	1	2	2
Attending Lectures	14	3	42
Self Study	14	8	112
Individual Study for Homework Problems	10	3	30
Individual Study for Mid term Examination	1	8	8
Individual Study for Final Examination	1	16	16
TOTAL WORKLOAD (hours)			214

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High