Information Package / Course Catalogue
Tensor Algebra
Course Code: MTK634
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

The main goal is this course to provide a working knowledge of Tensor Algebra

Course Content

Multilinear mappins. Production of tensor. Tensor algebra. Symmetry in the tensor algebra. Exterior algebra. The Poincare isomorphism.

Name of Lecturer(s)
Learning Outcomes
1.To learn multilinear mappings
2.To learn tensor algebra
3.To learn exterior algebra
4.To learn Poincare isomorphism
5.To learn dual spaces
Recommended or Required Reading
1.Differential and Riemannian Manifolds,Lang S., Springer-Verlag 1995
Weekly Detailed Course Contents
Week 1 - Theoretical
Multilinear mappins
Week 2 - Theoretical
Tensor Product
Week 3 - Theoretical
Linear mappins
Week 4 - Theoretical
Dual spaces
Week 5 - Theoretical
Tensors
Week 6 - Theoretical
Tensor algebra
Week 7 - Theoretical
Tensor algebra
Week 8 - Theoretical
Solve problems
Week 9 - Theoretical
Mixed tensors
Week 10 - Theoretical
Symmetry in the tensor algebra
Week 11 - Theoretical
Exterior algebra
Week 12 - Theoretical
The Poincare isomorphism
Week 13 - Theoretical
Symmetric tensor algebra
Week 14 - Theoretical
Review of semester
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Quiz1%10
Midterm Examination1%15
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Assignment101212
Individual Work140456
Quiz113215
Midterm Examination125227
Final Examination132234
TOTAL WORKLOAD (hours)200
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
OÇ-1
5
5
5
5
5
5
5
3
5
4
3
OÇ-2
5
5
5
5
5
5
5
3
5
4
3
OÇ-3
5
5
5
5
5
5
5
3
5
4
OÇ-4
5
5
5
5
5
5
5
3
5
4
OÇ-5
5
5
5
5
5
5
5
3
5
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026