DEGREE PROGRAMS  Associate's Degree (Short Cycle)  Bachelor’s Degree (First Cycle)  Master’s Degree (Second Cycle)

Course Description Course Name : Numerical Analysis Course Code : MT 333 Course Type : Compulsory Level of Course : First Cycle Year of Study : 3 Course Semester : Fall (16 Weeks) ECTS : 5 Name of Lecturer(s) : Asst.Prof.Dr. ZEYNEP YAPTI ÖZKURT Learning Outcomes of the Course : Comments on the source of the error of numerical solutions. Calculates the roots of a function. Solves Linear sistems. Is able to find inverse of a matrix. Is able to calculate determinants. Calculates the approximate values of polynomial functions of one variable. Is able to calculate numerical integration. Is able to examine the errors in the calculations. Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : This course aims to introduce a variety of methods of numerical analysis and to solve the mathematical problems in different areas with the methods of numerical analysis. Course Contents : Solution methods for non-linear equations, Solution methods for systems of linear equations. Interpolatiom. Numerical Integration Methods. Language of Instruction : Turkish Work Place : Faculty of Science Annex Classrooms   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Importance and meaning of numerical analysis, Number systems and errors in numerical procedures Required readings Lecture, Solving Problem and Discussion 2 Bisection and Newton´s method Required readings Lecture, Solving Problem and Discussion 3 Bairstow method Required readings Lecture, Solving Problem and Discussion 4 Linear equation systems, Inverse of a matrix, Deternimant Required readings Lecture, Solving Problem and Discussion 5 Gauss and Gauss-Jordan Methods Required readings Lecture, Solving Problem and Discussion 6 Gauss and Gauss-Jordan Methods for finding Inverse of a matrix and Deternimant Required readings Lecture, Solving Problem and Discussion 7 Gauss-Seidel method for solving Linear equations Required readings Lecture, Solving Problem and Discussion 8 Mid-term exam Required readings Lecture, Solving Problem and Discussion 9 Interpolation, Linear interpolation, Lagrange interpolation Required readings Lecture, Solving Problem and Discussion 10 Divided differences interpolation Required readings Lecture, Solving Problem and Discussion 11 Differences İnterpolation Required readings Lecture, Solving Problem and Discussion 12 Differences İnterpolation Required readings Lecture, Solving Problem and Discussion 13 Calcutation Methods for Numerical integration Required readings Lecture, Solving Problem and Discussion 14 Calcutation Methods for Numerical integration on an ınterval Required readings Lecture, Solving Problem and Discussion 15 Exercises Required readings Lecture, Solving Problem and Discussion 16/17 Final examination Required readings Written examination   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  . Behiç Çağal (1989), Sayısal Analiz, Seç Yayın Dağıtım, İstanbul.   Lee W. Johnson, R. Dean Riess (1982) Numerical Analysis, Addison-Wesley Publishing Company. 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 Is able to prove Mathematical facts encountered in secondary school. 0 2 Recognizes the importance of basic notions in Algebra, Analysis and Topology 0 3 Develops maturity of mathematical reasoning and writes and develops mathematical proofs. 4 4 Is able to express basic theories of mathematics properly and correctly both written and verbally 0 5 Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines. 3 6 Expresses clearly the relationship between objects while constructing a model 5 7 Draws mathematical models such as formulas, graphs and tables and explains them 0 8 Is able to mathematically reorganize, analyze and model problems encountered. 5 9 Knows at least one computer programming language 3 10 Uses effective scientific methods and appropriate technologies to solve problems 0 11 Knows programming techniques and is able to write a computer program 0 12 Is able to do mathematics both individually and in a group. 0 13 Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians 0 14 In addition to professional skills, the student improves his/her skills in other areas of his/her choice such as in scientific, cultural, artistic and social fields 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 15 15     Final Exam 1 20 20 Total Workload: 119 Total Workload / 25 (h): 4.76 ECTS Credit: 5