Information Package / Course Catalogue
Introduction to Tensor Algebra
Course Code: MAT439
Course Type: Area Elective
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 6
Objectives of the Course

The purpose of this course is to give students information about multilinear functions and tensor fields and to teach concept about these.

Course Content

Vector spaces, vectors, covectors, multilinear functions, tensor fields, covariant tensor fields, metrik tensör

Name of Lecturer(s)
Lec. Seçkin GÜNSEN
Learning Outcomes
1.Understands multilinear functions and tensor fields
2.Defines tensor fields
3.Identifies tensor types and tensor components
4.Ability to raise-lower index
5.Defines Riemannian metric tensor
Recommended or Required Reading
1.Tensör Geometri, H.Hilmi Hacısalihoğlu, N. Ekmekci
2.Tansör Analizi ve Uygulamaları, Z. Soyuçok, A. Soyuçok
3.Doğrusal Cebir, Hatice Kandamar, Neşet Aydın
Weekly Detailed Course Contents
Week 1 - Theoretical
Linear combination and generated space
Week 2 - Theoretical
Base, dimension, coordinates
Week 3 - Theoretical
Vektör spaces, Dual spaces
Week 4 - Theoretical
Vectors
Week 5 - Theoretical
1-forms
Week 6 - Theoretical
Bilinear Functions
Week 7 - Theoretical
Linear functions and functionals
Week 8 - Theoretical
Multilinear functions
Week 9 - Theoretical
Tensor fields
Week 10 - Theoretical
Tensor fields and Tensor components
Week 11 - Theoretical
Covariant tensors, raising-lowering indexes
Week 12 - Theoretical
Riemannian metric tensor
Week 13 - Theoretical
Riemannian metric tensor
Week 14 - Theoretical
Inverse of metric tensor, curve length
Assessment Methods and Criteria
Type of AssessmentCountPercent
Final Examination1%60
Assignment4%40
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Assignment48136
Individual Work140228
Final Examination128230
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
PÇ-16
PÇ-17
PÇ-18
OÇ-1
4
3
1
4
5
4
OÇ-2
1
4
2
4
5
4
OÇ-3
1
1
1
1
1
OÇ-4
1
3
1
2
4
2
OÇ-5
1
4
1
3
3
4
Adnan Menderes University - Information Package / Course Catalogue
2026