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Course Description Course Name : Mathematics - I Course Code : MAT131 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 7 Name of Lecturer(s) : Prof.Dr. GONCA AYIK Learning Outcomes of the Course : Recognizes number sets Recognizes functions Can calculate limit of functions Can calculate derivatives of functions Can draw graphs of functions Rocognizes properties of functions Recognizes special functions Calculate Taylor formula Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Recognize number sets and functions.Calculate limits and derivatives of functions. Drawing graphs of functions. Course Contents : Sets and number sets, Functions, Limits, derivative and rules of differentiation, Drawing graph of functions. 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 Sets, operation on sets, sets of number. Review of the relevant pages from sources Narration and discussion 2 Inequalities, absolute value Review of the relevant pages from sources Narration and discussion 3 Relations, functions and special functions Review of the relevant pages from sources Narration and discussion 4 Limit Review of the relevant pages from sources Narration and discussion 5 Continuity Review of the relevant pages from sources Narration and discussion 6 Definition of derivation and rule of derivations Review of the relevant pages from sources Narration and discussion 7 Rolle Theorem, The Mean Value Theorem Review of the relevant pages from sources Narration and discussion 8 Midterm exam Review and problem Solving Written exam 9 Drawing graph of a function Review of the relevant pages from sources Narration and discussion 10 L’ hospital rule Review of the relevant pages from sources Narration and discussion 11 exponential and logarithmic functions Review of the relevant pages from sources Narration and discussion 12 Trigonometri ve hyperbolic functions Review of the relevant pages from sources Narration and discussion 13 Properties of inverse trigonometric functions Review of the relevant pages from sources Narration and discussion 14 Properties of inverse hyperbolic functions Review of the relevant pages from sources Narration and discussion 15 Taylor Formula Review of the relevant pages from sources Narration and discussion 16/17 Final exam Review and problem solving Written exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Analize Giriş Cilt I (2013),Doğan Dönmez, Yusuf Ünlü, Fikri Akdeniz, Nobel Kitabevi. Required Course Material(s)  Calculus and Analytic Geometry, Sherman K. Stein, Mc Graw Hill.   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 0 2 Apply the statistical analyze methods 1 3 Make statistical inference(estimation, hypothesis tests etc.) 1 4 Generate solutions for the problems in other disciplines by using statistical techniques 4 5 Discover the visual, database and web programming techniques and posses the ability of writing programme 2 6 Construct a model and analyze it by using statistical packages 4 7 Distinguish the difference between the statistical methods 0 8 Be aware of the interaction between the disciplines related to statistics 0 9 Make oral and visual presentation for the results of statistical methods 4 10 Have capability on effective and productive work in a group and individually 4 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 4 17 Use proper methods and techniques to gather and/or to arrange the data 0 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 6 84     Out of Class Study (Preliminary Work, Practice) 14 5 70 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: 179 Total Workload / 25 (h): 7.16 ECTS Credit: 7