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Course Description Course Name : Mathematics Course Code : MK 135 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 5 Name of Lecturer(s) : Prof.Dr. DOĞAN DÖNMEZ Learning Outcomes of the Course : Define and express the properties of the limit. Expresses and refers to theorems on continuity Solves problems by using some of the properties of continuous functions. Defines and computes derivatives. Compute irrational numbbers approximately with the help of derivatives. Find the maximum and minimum and also draw graphs of functions of one variable. Solve practical problems. Uses L´Hospital´ s rule to find limits. Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Understand basic properties of limit, continuity and derivative and use them drawing the graphs of functions, approximate calculations and problem solving. Course Contents : Sets and number sets, Functions, Limits, derivative and rule of derivative, Drawing graph of functions. Language of Instruction : Turkish Work Place : Faculty of Arts and Sciences classrooms   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Numbers: Rational and real numbers. Order. Absolute value. Real axis. Intervals. Inequalities. Review of the relevant pages from sources Lecture and discussion 2 Functions. Finding domain and range. Operations on functions and function types. Review of the relevant pages from sources Lecture and discussion 3 Increasing and decreasing functions. Inverse function. Graphics. Implicit functions. Review of the relevant pages from sources Lecture and discussion 4 Trigonometric functions. Problem-solving. Review of the relevant pages from sources Lecture and discussion 5 Limit of functions of one variable. Properties of limits. One-sided limits. Review of the relevant pages from sources Lecture and discussion 6 Infinite Limits . Limits at infinity. Continuity. Review of the relevant pages from sources Lecture and discussion 7 Continuous functions and their properties. Problem-solving. Derivatives, slope of the tangent. Geometric interpretation of the derivative. Rules of differentiation. Review of the relevant pages from sources Lecture and discussion 8 Midterm exam Review and Problem Solving Written exam 9 The chain rule. Higher-order derivatives. Derivative of inverse functions. Review of the relevant pages from sources Lecture and discussion 10 The inverse trigonometric functions and their derivatives. Problem-solving. Review of the relevant pages from sources Lecture and discussion 11 Rolle´s Theorem, Mean Value Theorem. Finding maximum and minimum . First and second derivative tests. Review of the relevant pages from sources Lecture and discussion 12 The second derivative and convexity. Asymptotes. Skethching graphs. Review of the relevant pages from sources Lecture and discussion 13 Applied maximum and minimum problems. Review of the relevant pages from sources Lecture and discussion 14 Exponential and logarithmic functions. Review of the relevant pages from sources Lecture and discussion 15 Indefinite forms and L ´Hopital´s rule. Review of the relevant pages from sources Lecture and discussion 16/17 Written exam Review and Problem Solving Written exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Analize Giriş Cilt I , Authors: Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez 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 Feel comfortable with chemistry knowledge and capable to make relation with practical applicaitons 0 2 Observe and analyze the developments, directions and needs of industires for sustainability 1 3 Acquire life long education capability 5 4 Have capability of reaching for information 5 5 Acknowledge about total quality and relating the knowledge from different disciplines 5 6 Have capability of evaluating the national sources for technology development 1 7 Have capability of transmitting the knowledge and relating different disciplines 3 8 Gain the ability to achieve new knowledge and technology 2 9 Learn problem solving methodolygy and creative thinking 3 10 Have capability of bringing together theory and practical applicaiton 5 11 Feel comfortable with laboratory studies 0 12 Follow the developments in chemistry industries 0 13 Monitor progress in the field of chemistry. 0 14 Have capability of team work and leadership 3 15 Acquire property of objective and critical view 3 * 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 15 15     Final Exam 1 20 20 Total Workload: 133 Total Workload / 25 (h): 5.32 ECTS Credit: 5