MAT1041 Linear AlgebraBahçeşehir UniversityDegree Programs CARTOON AND ANIMATIONGeneral Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
CARTOON AND ANIMATION
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
MAT1041 Linear Algebra Spring 3 0 3 6
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction: English
Type of course: Non-Departmental Elective
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery: Face to face
Course Coordinator : Instructor MAHMOUD JAFARI SHAH BELAGHI
Course Lecturer(s): Prof. Dr. SÜREYYA AKYÜZ
Assoc. Prof. HALE GONCE KÖÇKEN
Dr. Öğr. Üyesi DİLRÜBA ÖZMEN ERTEKİN
Prof. Dr. NAFİZ ARICA
Recommended Optional Program Components: None
Course Objectives: To define matrix operations such as addition, multiplication, inversion and to prove some of related properties; To teach to solve a system of linear equations by using matrices; To give the definitions of a vector space, subspace, base and dimension and to prove some of related theorems; To introduce the notion of a linear map and the types of linear maps (such as injective, surjective and bijective); To teach the matrix representation of linear mappings and proving some of related properties; To construct the space of linear mappings and to give its structural properties; To define the transpose of a linear functional and to prove related properties.

Learning Outcomes

The students who have succeeded in this course;
1. Solve systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion.
2. Carry out matrix operations, including inverses and determinants.
3. Demonstrate understanding of the concepts of vector space and subspace.
4. Demonstrate understanding of linear independence, span, and basis.
5. Determine eigenvalues and eigenvectors and solve eigenvalue problems.
6. Apply principles of matrix algebra to linear transformations.

Course Content

Systems of linear equations, matrices; Vector spaces, subspaces, base and dimension, coordinate; Linear mappings, kernel and image subspaces; Matrix representations of linear mappings; Linear functional, transpose of a linear mapping. Eigenvalues and eigenvectors, diagonalization of matrices.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) - Introduction to Systems of Linear Equations - Gaussian Elimination and Gauss-Jordan Elimination
2) - Operations with Matrices - Properties of Matrix Operations
3) - The Inverse of a Matrix
4) - The Determinant of a Matrix - Evaluation of a Determinant Using Elementary Operations
5) - Properties of Determinants
6) - Vectors in R^n - Vector Spaces \ review.
7) - Subspaces of Vector Spaces - Spanning Sets and Linear Independence
8) - Basis and Dimension
9) - Rank of a Matrix and Systems of Linear Equations
10) - Introduction to Linear Transformations
11) - The Kernel and Range of a Linear Transformation
12) - Matrices for Linear Transformations - Transition Matrices and Similarity \ review.
13) - Eigenvalues and Eigenvectors - Diagonalization
14) - Symmetric Matrices and Orthogonal Diagonalization

Sources

Course Notes / Textbooks: Elementary Linear Algebra, Howard Anton, Wiley Publishing Co. (2000)
References: 1.Lang, S., "Linear Algebra", Addison-Wesley Publishing Company, (1968).
2.Hoffman, K. M., Kunze R. A., "Linear Algebra", Printice Hall, 2. edition, (1971).
3.Koç, C., "Basic Linear Algebra", Matematik Vakfı, (1995).
4. Lipschutz, S., "Linear Algebra, Schaum’s Outline Series", McGraw-Hill, Inc., (1974).
5.Kolman, B., Hill, D. R., "Introductory Algebra with Applications", Prentice Hall

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Midterms 2 % 60
Final 1 % 40
Total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 7 98
Midterms 2 2 4
Final 1 2 2
Total Workload 146

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) To have theoretical and practical knowledge and skills in cartoon and animation.
2) To be able to develop research, observation-experience, evaluation skills in the field of cartoon and animation and effectively communicate ideas, convincing actions and emotions using cartoon and animation and performance principles in every direction.
3) Making animated films with various artistic styles and techniques.
4) Designing the cartoon and animation production process using initiative, applying it with creativity and presenting it with personal style.
5) To be a team member in the production process of cartoon and animations, to be able to take responsibility and manage the team members under their responsibility and to lead them.
6) To be able to evaluate cartoon and animations in the framework of their knowledge and skills.
7) To be able to define and manage learning requirements in the field of cartoon and animation.
8) To be able to communicate with related organizations by sharing scientific and artistic works in cartoon and animation and to share information and skills in the field.
9) To monitor developments in the field of cartoon and animation using foreign languages ​​and to communicate with foreign colleagues.
10) To be able to use general information and communication technologies at advanced level with all kinds of technical tools and computer software used in cartoon and animations.
11) Using critical thinking skills and problem solving strategies in all aspects of development and production, effectively communicating ideas, emotions and intentions visually, verbally and in writing, and effectively incorporating technology in the development of cartoon and animation projects.
12) To have sufficient knowledge about ethical values ​​and universal values ​​in the field of cartoon and animation.