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

Course Description Course Name : Mathematics For Statistics - II Course Code : MAT232 Course Type : Compulsory Level of Course : First Cycle Year of Study : 2 Course Semester : Spring (16 Weeks) ECTS : 6 Name of Lecturer(s) : Assoc.Prof.Dr. AHMET TEMİZYÜREK Learning Outcomes of the Course : Calculates the center of mass and moment of inertia Defines the integral over a region Solves triple integrals using cylindrical and spherical coordinates Refers to the provided integral as an elliptic integral Uses the concept of vector at the Integral calculations. applies the Green´s theorem Learns the Divergence Theorem Recognizes the types of differential equations Determines the type of a given differential equation solves a given differential equation using the appropriate method Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To introduce the concepts doble integral, triple integral and line integral and teach the meaning of the differential equatin. To teach the applications of these concepts. Course Contents : The center of mass and moments , integrals over a region of space, elliptic integrals, vector integral calculus, line integrals, divergence theorem, Green´s theorem, differential equations, first-order differential equations, homogeneous differential equations, Exact differential equations, linear differential equations, Bernoulli´s differential equation Language of Instruction : Turkish Work Place : Faculty of Arts and Sciences Annex Classrooms   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Center of mass and moment of inertia Review of the relevant pages from sources Lecture and solving problem 2 Integrals over a region in space Review of the relevant pages from sources Lecture and solving problem 3 Triple integrals in cylindrical and spherical coordinates. Review of the relevant pages from sources Lecture and solving problem 4 Elliptic integrals. Review of the relevant pages from sources Lecture and solving problem 5 Vector integral calculus. Review of the relevant pages from sources Lecture and solving problem 6 Line integral, Green´s theorem in the plane. Review of the relevant pages from sources Lecture and solving problem 7 Divergence Theorem Review of the relevant pages from sources Lecture and solving problem 8 mid-term exam Review of the topics discussed in the lecture notes and sources again Written exam 9 Diferansiyel denklemlerle ilgili temel tanımlar Review of the relevant pages from sources Lecture and solving problem 10 First-order differential equations. Review of the relevant pages from sources Lecture and solving problem 11 Homogeneous differential equations. Review of the relevant pages from sources Lecture and solving problem 13 Linear differential equations Review of the relevant pages from sources Lecture and solving problem 14 Bernoulli, Riccatti, Clairout differential equations Review of the relevant pages from sources Lecture and solving problem 15 High-order linear differential equations Review of the relevant pages from sources Lecture and solving problem 16/17 Final exam Review of the topics discussed in the lecture notes and sources again Written exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)   Theory and Problems of Differential Equations, Ayres F. JR.,Schaum´s Outline series,1972   Öztunç K., Yüksek Matematik ,Cilt 1,2, , irem Publications,1975   F.Akdeniz, Ünlü Y., Dönmez D. Analize Giriş ,Vol. 2,Nobel Bookstore ,2006.  Calculus with Analytic Geometry,Silverman R.A.,Prentice Hall Inc.,London.,1985 Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 80     Homeworks/Projects/Others 5 20 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 0 2 Apply the statistical analyze methods 0 3 Make statistical inference(estimation, hypothesis tests etc.) 2 4 Generate solutions for the problems in other disciplines by using statistical techniques 3 5 Discover the visual, database and web programming techniques and posses the ability of writing programme 0 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 5 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 3 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 4 13 Emphasize the importance of Statistics in life 0 14 Define basic principles and concepts in the field of Law and Economics 0 15 Produce numeric and statistical solutions in order to overcome the problems 4 16 Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events 0 17 Use proper methods and techniques to gather and/or to arrange the data 2 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 4 56     Out of Class Study (Preliminary Work, Practice) 14 3 42 Assesment Related Works     Homeworks, Projects, Others 5 2 10     Mid-term Exams (Written, Oral, etc.) 1 20 20     Final Exam 1 20 20 Total Workload: 148 Total Workload / 25 (h): 5.92 ECTS Credit: 6