Information Package / Course Catalogue
Linear Algebra I
Course Code: MAT203
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 2
Credit: 4
Lab: 0
ECTS: 6
Objectives of the Course

To assist learners to gain general knowledge of vector spaces, and help them to examine systems of linear equation using the matrice approach.

Course Content

Matrices, systems of linear equations, vector spaces, subspaces, products and direct products of subspaces, linear dependency-independency, base, dimensions, linear transformations, algebra of linear transformations, representation of linear transformations by matrices, linear functionals.

Name of Lecturer(s)
Lec. Okan ARSLAN
Learning Outcomes
1.To be able to do matrix operations (summation, multiplication, finding inverse etc.), solve systems using matrices
2.To be able to prove some propositions and solve linear equations about matrices
3.To be able to solve problems about linear transformations
4.To be able to explain the given transformations through matrix
5.To be able to comprehend the concept of space in analytic geometry, analysis and toplogy classes
Recommended or Required Reading
1.Linear Algebra, Cemal Koç, ODTÜ yayınları
2.Linear Algebra, Hatice Kandamar, Neşet Aydın
3.Linear Algebra, H. Kunze- K. Hoffman
Weekly Detailed Course Contents
Week 1 - Theoretical & Practice
Matrices
Week 2 - Theoretical & Practice
Echelon, reduced echelon and elementary matrices
Week 3 - Theoretical & Practice
Systems of linear equations
Week 4 - Theoretical & Practice
Vector spaces
Week 5 - Theoretical & Practice
Subspaces
Week 6 - Theoretical & Practice
Linear combination and generated space
Week 7 - Theoretical & Practice
Linear dependency and independency
Week 8 - Theoretical & Practice
Base and dimension
Week 9 - Theoretical & Practice
Coordinates
Week 10 - Theoretical & Practice
Row-column and solution spaces
Week 11 - Theoretical & Practice
Sums of subspaces
Week 12 - Theoretical & Practice
Linear transformations and its algebras
Week 13 - Theoretical & Practice
Representation of linear transformations by matrices
Week 14 - Theoretical & Practice
Linear functionals
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Lecture - Practice140228
Individual Work140228
Midterm Examination118119
Final Examination118119
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
3
4
1
3
3
2
4
3
2
4
3
3
2
3
OÇ-2
3
4
2
3
2
3
4
2
3
2
3
3
2
2
OÇ-3
2
3
3
4
2
3
2
2
3
2
3
3
4
2
OÇ-4
2
2
4
3
2
3
2
3
3
3
2
2
3
1
OÇ-5
3
3
4
4
4
3
4
4
3
4
3
3
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026