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Course Description Course Name : Mathematics I Course Code : CMZ109 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 4 Name of Lecturer(s) : Learning Outcomes of the Course : Knows the functions and limits. Define, and refers to the continuity of some of the theorems. Solves the problem by using some of the features of continuous functions. Define and calculate the derivative. About the number of accounts with the help of some derivatives. Maximum of functions of one variable, find and draw graphs of minimum. Solves practical problems. L´Hospital rule finds limits. Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Function, limit, continuity and derivative grasp the main features about drawing the graphs of these functions use the account making and problem solving. We also train the students to think analytically and to solve problems in the future issues with the methods of solution for the models. Course Contents : Functions, limits, continuity, derivatives, applications of derivatives. Language of Instruction : Turkish Work Place : Classroom   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Numbers. Sayılar.Sıralama rational and real. Absolute value. Number axis. Spacing. Inequalities. Review of the relevant pages from sources Narration and discussion 2 Functions. Finding Definition and Value Sets. Transactions related to the functions and function types. Review of the relevant pages from sources Narration and discussion 3 Ascending, descending functions. Reverse function. Graphics. Off functions. Review of the relevant pages from sources Narration and discussion 4 Trigonometric functions. Problem-solving. Review of the relevant pages from sources Narration and discussion 5 Limit of functions of one variable. Properties of limits. One-sided limits. Review of the relevant pages from sources Narration and discussion 6 Limits are endless. Limits at infinity. Continuity Review of the relevant pages from sources Narration and discussion 7 Continuous functions from their properties. Problem-solving. Derivatives, slope of the tangent. Rules of differentiation. Review of the relevant pages from sources Narration and discussion 8 mid-term exam. topics discussed in the lecture notes and sources again exam. 9 The chain rule. Higher-order derivatives. Derivative of inverse functions. Physical meaning of the derivative. Review of the relevant pages from sources Narration and discussion 10 The inverse trigonometric functions and their derivatives. Problem-solving. Review of the relevant pages from sources Narration and discussion 11 Rolle´s Theorem, Mean Value Theorem. Maximum, minimum detection. 1 and 2 Derivative test. Review of the relevant pages from sources Narration and discussion 12 The second derivative and convexity. Asymptotes. Graphical boot. Review of the relevant pages from sources Narration and discussion 13 Maximum and minimum problems. Calculus and its applications. Exponential and logarithmic functions and their properties. Review of the relevant pages from sources Narration and discussion 14 Exponential and logarithmic functions. Review of the relevant pages from sources Narration and discussion 15 Uncertainties and L ´Hopital´s rule. Review of the relevant pages from sources Narration and discussion 16/17 Final exam. topics discussed in the lecture notes and sources again Final exam.   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Analize Giriş Cilt I , Yazarlar: Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez ,  Kalkülüs: Diferensiyel ve İntegral Hesap, Yazar: James Stewart, Translate:TÜBA 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 Becomes equipped with adequate knowledge in mathematics, science, environment and engineering sciences 5 2 Becomes able to apply theoretical knowledge in mathematics, science, environment and engineering sciences 4 3 Determines, describes, formulates and gains capabilities in solving engineering problems 3 4 Analyzes a system, components of the system or process, gains the designing capabilities of the system under the real restrictive conditions. 2 5 Chooses ans uses the ability to apply modern tools and design technics, suitable analytical methods, modeling technics for the engineering applications 3 6 Designs and performs experiments, data collection, has the ability of analyzing results 1 7 Works individually and in inter-disciplinary teams effectively 2 8 Becomes able to reach knowledge and for this purpose does literature research and to uses data base and other information sources 1 9 Becomes aware of the necessity of lifelong learning and continuously self renewal 1 10 Capable of effective oral and written skills in at least one foreign language for technical or non-technical use 4 11 Effective use of Information and communication technologies 1 12 Professional and ethical responsibility 1 13 Project management, workplace practices, environmental and occupational safety; awareness about the legal implications of engineering applications 1 14 Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation and to have idea of contemporary issues 3 15 Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself accordingly. 1 * 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 0 0 0     Mid-term Exams (Written, Oral, etc.) 1 5 5     Final Exam 1 8 8 Total Workload: 111 Total Workload / 25 (h): 4.44 ECTS Credit: 4