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Course Description Course Name : Mathematics 2 Course Code : MK 108 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Spring (16 Weeks) ECTS : 5 Name of Lecturer(s) : Prof.Dr. DOĞAN DÖNMEZ Learning Outcomes of the Course : Calculate limits of sequences. Decide whether or not an infinite series convergent. Express functions as infinite series. Identify and draw different curves. Can compute indefinite integrals. Can calculate definite integrals. Can calculate area, volume, arc length, surface area and center of gravity using definite Integral . Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Mathematical and physical quantities are calculated with integral or series. Course Contents : Sequences and series, convergent, divergent series, definite and indefinite integral, area, volume and arc length with rectangular and polar coordinates. 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 Sequences, Limits. Limit theorems, infinite limits. Monotone convergence theorem. Subsequences. Review of the relevant pages from sources Lecture and discussion 2 Convergence of the series, the n-th term test, geometric series, p-series, Comparison, Limit Comparison, Ratio and Root Tests. Review of the relevant pages from sources Lecture and discussion 3 Power series, radius of convergence, power series term term Differentiation theorem, Taylor and McLaurin series, Binomial theorem. Review of the relevant pages from sources Lecture and discussion 4 Polar Coordinates. Some of the important curves. Curve drawings. The slope of the tangent formula. Parameterized curves. Review of the relevant pages from sources Lecture and discussion 5 The Indefinite Integral definition, properties. Variable change and partial Integration. Review of the relevant pages from sources Lecture and discussion 6 Integration of some trigonometric functions. Review of the relevant pages from sources Lecture and discussion 7 Integration of some algebraic functions with variable change and reduction formulas. Review of the relevant pages from sources Lecture and discussion 8 Written exam Review and Problem Solving Written exam 9 Integration of Rational Functions. Review of the relevant pages from sources Lecture and discussion 10 Special trigonometric and algebraic integrals. Definition and properties of the definite integral. Review of the relevant pages from sources Lecture and discussion 11 Fundamental theorems of differential calculus. Change of variables formula. Improper integrals. Review of the relevant pages from sources Lecture and discussion 12 Convergence of improper integrals. Integral test. Cartesian and polar coordinates and area calculation. Review of the relevant pages from sources Lecture and discussion 13 Calculate the volume with Disk and cylindrical layers method. Arc length. Review of the relevant pages from sources Lecture and discussion 14 Surface area of revolution. Review of the relevant pages from sources Lecture and discussion 15 Finding the center of gravity. Pappus formula. 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 II , 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 0 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 4 6 Have capability of evaluating the national sources for technology development 2 7 Have capability of transmitting the knowledge and relating different disciplines 3 8 Gain the ability to achieve new knowledge and technology 3 9 Learn problem solving methodolygy and creative thinking 3 10 Have capability of bringing together theory and practical applicaiton 4 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