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Course Description Course Name : Mathematics Course Code : TMZ101 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 5 Name of Lecturer(s) : Assoc.Prof.Dr. AHMET TEMİZYÜREK Learning Outcomes of the Course : Defines the concepts set and number Defines the concept of a function and refer some special functions Defines the limit of a function, solves the limit problems Defines the concept of continuity of functions and uses the continuity theorems solving problems Refers the definition of derivative and its geometrical meaning Uses derivative theorem to solve problems in different areas Understands the importance of the derivative solving maximum and minimum problems Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : The aim of this course is to teach the basic mathematical theory knowledge required of the engineering profession, gain the ability to use the knowledge acquired in the required fields correctly Course Contents : Set theory, function, limit, continuity, derivatives and its applications, Maximum-minimum practices Language of Instruction : Turkish Work Place : Department of Textile Engineering Classrooms   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 operations on the sets Review of the relevant pages from sources Lecture, discussion 2 number sets Review of the relevant pages from sources Lecture, discussion 3 inequalities Review of the relevant pages from sources Lecture, discussion 4 Relation and functions Review of the relevant pages from sources Lecture, discussion 5 Some special functions Review of the relevant pages from sources Lecture, discussion 6 Lmit Review of the relevant pages from sources Lecture, discussion 7 Basic limit problems Review of the relevant pages from sources Lecture, discussion 8 mid-term exam topics discussed in the lecture notes and sources again written exam 9 Continuity Review of the relevant pages from sources Lecture, discussion 10 Derivative and its geometric meaning Review of the relevant pages from sources Lecture, discussion 11 Techniques of differentiation Review of the relevant pages from sources Lecture, discussion 12 Error calculations Review of the relevant pages from sources Lecture, discussion 13 Applications of derivative , Rolle´s and Mean value Theorems Review of the relevant pages from sources Lecture, discussion 14 Increasing and decreasing functions, maximum and minimum values ??of functions Review of the relevant pages from sources Lecture, discussion 15 The graph of a function, applications of maximum and minimum Review of the relevant pages from sources Lecture, discussion 16/17 Final exam topics discussed in the lecture notes and sources again Written exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  AKDENİZ,F, ÜNLÜ,Y., DÖNMEZ,D., Analize Giriş Cilt 1, Nobel publisher, Adana, 2003.  SEWARD, J. Kalkülüs, İkinci baskı, TUBA, ISBN: 975-8593-94-3, Ankara, 2007.  STEIN, S. K. , BAREELLOS, A. Calculus ve Analitik Geometri, 1. Cilt. Literatür publishing, İstanbul, 1977. 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 Uses information and communication technologies and softwares at a required level 5 2 Has the professional and ethical responsibility. 3 3 Uses the knowledge obtained from the basic sciences and engineering in the field of textile engineering 2 4 Does process analysis, Identifies problems, interprets and evaluates data in the field of textile engineering 4 5 Selects and uses modern techniques and tools for engineering applications 3 6 Has the skills of designing experiments, data collection, cognitive analysis and interpretation of the results 1 7 Works effectively both individually and as a team member and takes responsibility 1 8 Searches literature, has access to information, uses databases and other sources of information 2 9 Recognizes the need of lifelong learning; follows developments in science and technology and renews self continuosly 2 10 Has effective oral and written communication skills. 2 11 Follows developments in the field in a foreign language, has good communication skills with colleagues. 0 12 Has the necessary awareness on the fields of occupational health and safety, legal side of engineering applications and environmental health. 0 13 Has required competence in project management, entrepreneurship and innovation. 1 14 Has sufficient background in the fields of Mathematics, Science and Textile Engineering 4 * 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 4 56 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: 123 Total Workload / 25 (h): 4.92 ECTS Credit: 5