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Course Description Course Name : Mathematics II Course Code : CMZ108 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Spring (16 Weeks) ECTS : 4 Name of Lecturer(s) : Learning Outcomes of the Course : Identifies and draws on different curves. Definite integral accounts. Using the Definite Integral area, volume, surface area, and center of gravity finds the arc length. Finds the limits of functions of several variables. Finds partial derivatives of functions of several variables. Finds the maximum and minimum points of functions of several variables. 1. degree and 1. order differential equations, finds solutions Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Area, volume calculation with the mathematical and physical quantities, the theory of functions of several variables input, first-order and first-order differential equations. We also train the students to think analytically and to solve problems in the future issues will form their own interest to teach the methods of solution for the models. Analysis is considered as one of the greatest achievements of the human mind is an exciting topic. Our hope is that students with usage analysis is not only to discover her inner beauty as well. Course Contents : Polar coordinates, indefinite and definite integrals and applications, functions of several variables ,1. degrees and 1. order differential equations. 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 Polar Koordinatlar.Some major curves. Curves drawings. Parametric representation of the slope of the tangent formula.Parametric representation of curves. Review of the relevant pages from sources Narration and discussion 2 The Indefinite Integral definition, properties. Variable Change and Integration by Parts. Review of the relevant pages from sources Narration and discussion 3 Integration of rational functions. Integration of some trigonometric functions. Review of the relevant pages from sources Narration and discussion 4 Some algebraic functions integralnable with algebraic substitution .Trigonometrik and algebraic special integrals. Review of the relevant pages from sources Narration and discussion 5 Problem-solving. Specific definition of integral, properties. Review of the relevant pages from sources Narration and discussion 6 Fundamental theorems of differential-integral calculus. Change of variables in the definite integral. Improper Integrals. Review of the relevant pages from sources Narration and discussion 7 Convergence of Improper integrals. Perpendicular to the polar coordinates and finding. Review of the relevant pages from sources Narration and discussion 8 mid-term exam 9 The volume of solids of revolution. Arc length. Surface area. Review of the relevant pages from sources Narration and discussion 10 Finding the center of gravity. Pappus theorem. Problem-solving. Review of the relevant pages from sources Narration and discussion 11 Functions of several variables. Limits and continuity. Partial Derivatives, Chain Rule. Review of the relevant pages from sources Narration and discussion 12 Finding the maximum, minimum, functions of several variables. Review of the relevant pages from sources Narration and discussion 13 Introduction to differential equations. Review of the relevant pages from sources Narration and discussion 14 Finding solutions to first-order and first-order differential equations. Review of the relevant pages from sources Narration and discussion 15 First-order and first-order differential equations continue to find solutions and problem-solving. Review of the relevant pages from sources Narration and discussion 16/17 Final exam.   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  Analize Giriş Cilt I , Authors: Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez  Kalkülüs: Diferensiyel ve İntegral Hesap, Author: James Stewart, Translate:TÜBA  Diferensiyel Denklemler, Authors: Okay Çelebi, Ümit Çelebi. 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) 13 4 52     Out of Class Study (Preliminary Work, Practice) 13 3 39 Assesment Related Works     Homeworks, Projects, Others 0 0 0     Mid-term Exams (Written, Oral, etc.) 1 5 5     Final Exam 1 10 10 Total Workload: 106 Total Workload / 25 (h): 4.24 ECTS Credit: 4