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Course Description Course Name : Linear Algebra - I Course Code : MT 111 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 4 Name of Lecturer(s) : Asst.Prof.Dr. ELA AYDIN Learning Outcomes of the Course : Recognizes matrices and perform matrix operations Bring the matrices to echelon form through Gauss elimination and Gauss-Jordan reduction Can find the inverses of matrices and use them in solving the systems Calculate determinants Can solve the systems using Cramer’s rule Can plot vectors on plane or in spacesand perform vector operations Make use of basic concepts and terms of vector spaces Can write linear span space Can determine the linear dependence or independence of vectors Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To give insight and skill about the concrete aspects of linear algebra,To provide basic concepts of matrices and the systems of homogeneous linear equations , To solve the systems using matrices,To teach vector spaces and abstract mathematical concepts ,To teach abstract thought Course Contents : System of linear equations, elementary operations, finding solutions of linear and homogeneous systems of equations using elementary operations, matrices and special types of matrices, finding inverses of matrices using elementary operations, determinants, finding determinants of block and special types of matrices, using determinant for solving Cramer systems. Vectors in the plane and space, vector spaces, subspaces, linear dependence of vectors, bases of vector spaces, Language of Instruction : Turkish Work Place : Departments classrooms   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 System of linear equations Read relevant sections of the textbook and solve problems Lecture and discussion 2 Matrices and operations on matrices Read relevant sections of the textbook and solve problems Lecture and discussion 3 Properties of matrix operations and special types of matrices Read relevant sections of the textbook and solve problems Lecture and discussion 4 Row-Reduced Echelon Matrices and Elementary matrices Read relevant sections of the textbook and solve problems Lecture and discussion 5 Gauss elimination and Gauss-Jordan reduction Read relevant sections of the textbook and solve problems Lecture and discussion 6 Finding inverses of matrices using elementary operations and solving systems Read relevant sections of the textbook and solve problems Lecture and discussion 7 Determinant function and properties Read relevant sections of the textbook and solve problems Lecture and discussion 8 Mid-term exam Review and problem solving Written exam 9 Using determinant for solving Cramer systems. Read relevant sections of the textbook and solve problems Lecture and discussion 10 Vectors in the plane and space Read relevant sections of the textbook and solve problems Lecture and discussion 11 Vector spaces Read relevant sections of the textbook and solve problems Lecture and discussion 12 Subspaces Read relevant sections of the textbook and solve problems Lecture and discussion 13 Linear span Read relevant sections of the textbook and solve problems Lecture and discussion 14 Linear dependence and independence Read relevant sections of the textbook and solve problems Lecture and discussion 15 Solving problems Solving problems Lecture and discussion 16/17 Final exam Review and problem solving written exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Bernard Kolman, David R. Hill, " Lineer Cebir" ((Translation) Palme Yayıncılık Press,2000.  Veli Şahmurov, Gökhan Uzgören, " Lineer Cebir Uygulamaları" Papatya Yayıncılık Press,1999.  Arif Sabuncuoğlu, "Lineer Cebir", Nobel yayın dağıtım,2000. Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 100     Homeworks/Projects/Others 0 0 Total 100 Rate of Semester/Year Assessments to Success 40   Final Assessments 100 Rate of Final Assessments to Success 60 Total 100   Contribution of the Course to Key Learning Outcomes # Key Learning Outcome Contribution* 1 Utilize computer systems and softwares 4 2 Apply the statistical analyze methods 5 3 Make statistical inference(estimation, hypothesis tests etc.) 5 4 Generate solutions for the problems in other disciplines by using statistical techniques 0 5 Discover the visual, database and web programming techniques and posses the ability of writing programme 3 6 Construct a model and analyze it by using statistical packages 0 7 Distinguish the difference between the statistical methods 0 8 Be aware of the interaction between the disciplines related to statistics 1 9 Make oral and visual presentation for the results of statistical methods 0 10 Have capability on effective and productive work in a group and individually 0 11 Develop scientific and ethical values in the fields of statistics-and scientific data collection 0 12 Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics 3 13 Emphasize the importance of Statistics in life 0 14 Define basic principles and concepts in the field of Law and Economics 2 15 Produce numeric and statistical solutions in order to overcome the problems 5 16 Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events 5 17 Use proper methods and techniques to gather and/or to arrange the data 3 18 Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs 0 * Contribution levels are between 0 (not) and 5 (maximum).   Student Workload - ECTS Works Number Time (Hour) Total Workload (Hour) Course Related Works     Class Time (Exam weeks are excluded) 14 3 42     Out of Class Study (Preliminary Work, Practice) 14 3 42 Assesment Related Works     Homeworks, Projects, Others 0 0 0     Mid-term Exams (Written, Oral, etc.) 1 10 10     Final Exam 1 15 15 Total Workload: 109 Total Workload / 25 (h): 4.36 ECTS Credit: 4