Information Package / Course Catalogue
| Law | |||||
| Bachelor | Length of the Programme: 4 | Number of Credits: 240 | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF: Level 6 |
ECTS Course Information Package
| School/Faculty/Institute | Faculty of Education | |||||
| Course Code | MATH 331 | |||||
| Course Title in English | Linear Algebra | |||||
| Course Title in Turkish | Linear Algebra | |||||
| Language of Instruction | EN | |||||
| Type of Course | Ters-yüz öğrenme | |||||
| Level of Course | Seçiniz | |||||
| Semester | Fall | |||||
| Contact Hours per Week |
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| Estimated Student Workload | 119 hours per semester | |||||
| Number of Credits | 5 ECTS | |||||
| Grading Mode | Standard Letter Grade | |||||
| Pre-requisites |
MATH 137 - Introduction to Discrete Mathematics |
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| Co-requisites | None | |||||
| Expected Prior Knowledge | None | |||||
| Registration Restrictions | Only Undergraduate Students | |||||
| Overall Educational Objective | ||||||
| Course Description | This course provides general concepts on linear algebra by covering the following topics: Systems of linear equations and matrices, Gaussian elimination, matrix algebra, inverse of a matrix, elementary matrices, LU-factorization, the determinant of a square matrix, the properties of determinants, Cramer’s rule, vector spaces, subspaces, linear independence, basis and dimension, change of basis, inner product spaces, orthonormal basis, linear transformations, matrix representations of linear transformations, eigenvalues and eigenvectors, diagonalization. |
Course Learning Outcomes and CompetencesUpon successful completion of the course, the learner is expected to be able to:1) solve the systems of linear equations by using Gauss elimination; 2) compute the inverse of a square matrix and solve the systems of linear equations by using matrix inversion; 3) compute the determinant of a matrix and solve the systems of linear equations by using Cramer's rule; 4) comprehend the concepts span, linear independence, basis, and dimension, and apply these concepts to various vector spaces and subspaces; 5) comprehend linear transformations and compute their matrix representations; 6) compute the eigenvalues and the corresponding eigenvectors of a matrix. |
| Program Learning Outcomes/Course Learning Outcomes | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| 1) The ability to recognize and apply basic principles and theories of law, legal methodology, and interpretation methods. | ||||||
| 2) The ability to follow, evaluate, interpret and apply the current developments and legislative amendments. | ||||||
| 3) The ability to locate and use legal resources; to follow and evaluate current legislative amendments, legal science, and court decisions. | ||||||
| 4) The ability to internalize social, scientific and ethical values while evaluating legal information. | ||||||
| 5) The ability to recognize, examine and resolve legal issues with respect to general principles of law, de lege feranda and de lege lata; to take into consideration both national and international aspects of law; and to acknowledge the importance of personal conviction while making decisions. | ||||||
| 6) The ability to critically analyze legal disputes, legislation, court decisions and different views in the legal science; to form his/her own opinions; to detect legal lacuna and suggest alternative solutions. | ||||||
| 7) The ability to understand issues regarding different fields of law; to characterize and propose solutions to complex issues arising from legal practice. | ||||||
| 8) The ability to participate in and organize legal projects and activities as a socially responsible individual; to put his/her legal knowledge and skill to use efficiently (in the public or private sector). | ||||||
| 9) The ability to use a foreign language at least on a B2 Level on the European Language Portfolio, to follow legal developments and communicate with colleagues in that language; to use computer software and information and communication technologies necessary in the law field at an Advanced Level of the European Computer Driving License. | ||||||
| 10) Adoption of a positive approach to the concept of lifelong learning. | ||||||
| 11) The ability to understand the development, evolution, and problems of the society and to contribute to the solution of these problems by legal methods. | ||||||
| 12) The ability to understand the structure, organization, and functioning of law on the national and international level; to contribute to the development thereof. |
Relation to Program Outcomes and Competences
| N None | S Supportive | H Highly Related |
| Program Outcomes and Competences | Level | Assessed by | |
| 1) | The ability to recognize and apply basic principles and theories of law, legal methodology, and interpretation methods. | S | |
| 2) | The ability to follow, evaluate, interpret and apply the current developments and legislative amendments. | N | |
| 3) | The ability to locate and use legal resources; to follow and evaluate current legislative amendments, legal science, and court decisions. | N | |
| 4) | The ability to internalize social, scientific and ethical values while evaluating legal information. | S | |
| 5) | The ability to recognize, examine and resolve legal issues with respect to general principles of law, de lege feranda and de lege lata; to take into consideration both national and international aspects of law; and to acknowledge the importance of personal conviction while making decisions. | N | |
| 6) | The ability to critically analyze legal disputes, legislation, court decisions and different views in the legal science; to form his/her own opinions; to detect legal lacuna and suggest alternative solutions. | N | |
| 7) | The ability to understand issues regarding different fields of law; to characterize and propose solutions to complex issues arising from legal practice. | N | |
| 8) | The ability to participate in and organize legal projects and activities as a socially responsible individual; to put his/her legal knowledge and skill to use efficiently (in the public or private sector). | N | |
| 9) | The ability to use a foreign language at least on a B2 Level on the European Language Portfolio, to follow legal developments and communicate with colleagues in that language; to use computer software and information and communication technologies necessary in the law field at an Advanced Level of the European Computer Driving License. | S | |
| 10) | Adoption of a positive approach to the concept of lifelong learning. | H | |
| 11) | The ability to understand the development, evolution, and problems of the society and to contribute to the solution of these problems by legal methods. | N | |
| 12) | The ability to understand the structure, organization, and functioning of law on the national and international level; to contribute to the development thereof. | N |
| Prepared by and Date | HASAN KÖRÜK , |
| Course Coordinator | BENGİ BİRGİLİ |
| Semester | Fall |
| Name of Instructor | Prof. Dr. RUKİYE DİDEM TAYLAN |
Course Contents
| Week | Subject |
| 1) | Matrices and Systems of Equations |
| 2) | Matrices and Systems of Equations |
| 3) | Matrices and Systems of Equations |
| 4) | Matrices and Systems of Equations |
| 5) | Determinants |
| 6) | Determinants |
| 7) | Vector Spaces |
| 8) | Vector Spaces |
| 9) | Vector Spaces |
| 10) | Inner Product Spaces |
| 11) | Linear Transformations |
| 12) | Linear Transformations |
| 13) | Eigenvalues and Eigenvectors |
| 14) | Eigenvalues and Eigenvectors |
| 15) | Final Exam/Project/Presentation Period |
| 16) | Final Exam/Project/Presentation Period |
| Required/Recommended Readings | David C. Lay et al., Linear Algebra and Its Applications, Pearson, 5th edition/Global edition, 2016. Elementary Linear Algebra, Ron Larson, Cengage Learning, 7th or 8th edition (ebook or hardcopy). | ||||||||||||
| Teaching Methods | Lectures using “flipped classroom” as an active learning technique. | ||||||||||||
| Homework and Projects | Online quizzes/HWs will be assigned. | ||||||||||||
| Laboratory Work | |||||||||||||
| Computer Use | |||||||||||||
| Other Activities | |||||||||||||
| Assessment Methods |
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| Course Administration |
Dr. Hasan Körük Instructor’s office and phone number: A Block-5th Floor / 0212 3953654 Office hours: Monday 10:00-12:00 Email address: korukh@mef.edu.tr Dr. Leyla Parlar Ateş Instructor’s office and phone number: A Block-4th Floor / 0212 3953600 Office hours: Wednesday 13:00-15:00 Email address: atesl@mef.edu.tr Rules for attendance: Classroom participation contributes to 12% of the final grade. Missing a quiz/HW: No make-up will be given. Missing a midterm: Provided that proper documents of excuse are presented, make-up will be given. A reminder of proper classroom behavior, code of student conduct: YÖK Regulations. Academic dishonesty and plagiarism: YÖK Regulations. |
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ECTS Student Workload Estimation
| Activity | No/Weeks | Hours | Calculation | ||||
| No/Weeks per Semester | Preparing for the Activity | Spent in the Activity Itself | Completing the Activity Requirements | ||||
| Course Hours | 14 | 2 | 3 | 1 | 84 | ||
| Homework Assignments | 3 | 2 | 1 | 9 | |||
| Quiz(zes) | 2 | 2 | 1 | 6 | |||
| Midterm(s) | 2 | 8 | 2 | 20 | |||
| Total Workload | 119 | ||||||
| Total Workload/25 | 4.8 | ||||||
| ECTS | 5 | ||||||