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 MAT1007 GENERAL MATHEMATICS 4+0+0 ECTS:6 Year / Semester First Year / Fall Semester Level of Course First Cycle Status Compulsory Department URBAN AND REGIONAL PLANNING Prerequisites and co-requisites None Mode of Delivery Face to face Contact hours 14 weeks - 4 hours of lectures per week Lecturer LECTURER Hasan KELEŞ Co-Lecturer LECTURER HASAN KELEŞ, Language of instruction Turkish Professional practise ( internship ) None Objectives of the Course
 The aim of the course is to teach the basic mathematical techniques, introducing at the same time a number of mathematical skills which can be used for the analysis of problems. The emphasis is on the practical usability of mathematics; this goal is mainly pursued via a large variety of examples and applications from these disciplines.
 Learning Outcomes CTPO TOA Upon successful completion of the course, the students will be able to : LO - 1 : The student will be able to teach the basic mathematical techniques 1,3,9,18,21 1 LO - 2 : The student will be able to gain the basic mathematical skills 1,3,9,18,21 1 LO - 3 : The student will be able to apply the basic mathematical skills to the vocational problems 1,3,5,9,18,21 1 CTPO : Contribution to programme outcomes, TOA : Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome
 Contents of the Course Real Numbers, Exponential And Power Terms, Absolute Value,Inequality, Analytic Investigation Of Lines,Single Value Functions, Kinds Of Functions And Its Graphs, Limits And Continuous, Derivative And Geometric Meaning Of Derivative, General Derivative Rules, Derivatives Of İnverse And Composition Functions. High Order Derivations, Increasing And Decreasing Functions, Concave And Convex Functions, Problems Of Maximum And Minimum., Asymptotes And Plots Of Graphs, Indefinite Integrals And Elemetary Integral Rules, Method Of Variable Change., Partial Integration, Separation Of Simple Fractions, Definite Integrals, Applications Of Areas Between Curves By Definite İntegral, Matrices, System of Linear Equations, Determinants, vectors, eigenvalues and eigenvectors.
 Course Syllabus Week Subject Related Notes / Files Week 1 Real numbers, Exponential and Power terms, Absolute value,Inequalities. Week 2 Analytic Investigation of lines,Functions Week 3 Kinds of functions and its graphs Week 4 Limits and Continuous Week 5 Derivative and geometric meaning of derivative, general derivative rules, derivatives of inverse and composition functions. Week 6 High order derivations, increasing and decreasing functions, Week 7 Concave and convex functions,Problems of maximum and minimum. Week 8 Asymptotes and Plots Of Graphs Week 9 Mid-term exam Week 10 Indefinite Integrals and Elemetary integral rules, Method of Variable Change. Week 11 Definite Integrals, Applications of Areas Between Curves by definite integral. Week 12 Matrices Week 13 System of Linear Equations, Determinants. Week 14 Determinants and applications. Week 15 Vectors, eigenvalues and eigenvectors. Week 16 End-of-term exam
 Textbook / Material 1 Keleş, H., 2015, Genel ve Çözümlü Matematik-I-, Trabzon.
 Recommended Reading 1 Keleş, H., 2015, Lineer Cebire Giriş-I-, Trabzon. 2 Balcı,M.2009.Genel matematik 1,Balcı Yayınları,Ankara.
 Method of Assessment Type of assessment Week No Date Duration (hours) Weight (%) Mid-term exam 9 14/11/2017 1,5 50 In-term studies (second mid-term exam) 1 End-of-term exam 16 02/01/2018 2 50
 Student Work Load and its Distribution Type of work Duration (hours pw) No of weeks / Number of activity Hours in total per term Lectures (face to face teaching) 4 14 56 Own (personal) studies outside class 2 14 28 Laboratory studies 0 0 0 Own study for first mid-term exam 3 8 24 Mid-term exam 2 1 2 Practice 0 0 0 Clinic Practice 0 0 0 Homework 0 0 0 Project 0 0 0 Quiz 0 0 0 Own study for final exam 3 7 21 End-of-term exam 2 1 2 Other 1 0 0 0 Other 2 0 0 0 Total work load 133