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Course Description Course Name : Mathematics 2 Course Code : JZ 108 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Spring (16 Weeks) ECTS : 3 Name of Lecturer(s) : Assoc.Prof.Dr. PERİHAN DİNÇ ARTUT Learning Outcomes of the Course : Converts the equations of the curves from vertical coordinates to polar coordinates and draws the graphs of some special curves in polar coordinates. Understands the concept of integral is the inverse of the derivative.Finds area, volume and the center of mass by using integral. Calculates generalized integrals. Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To teach the basic engineering courses and vocational courses in Geological Engineering mathematical infrastructure required for the win. Course Contents : Coordinate systems, integral and trigonometric functions. Language of Instruction : Turkish Work Place : Faculty lecture hall and department lecture rooms.   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Polar coordinates, graphs of some special curves Read the relevant chapter in the book and discussion Lecture 2 Definition of the indefinite integral, computing indefinite integrals Read the relevant chapter in the book and discussion Lecture 3 Substitution rule, integration by parts Read the relevant chapter in the book and discussion Lecture 4 Integration by partial fractions Read the relevant chapter in the book and discussion Lecture 5 Trigonometric integrals Read the relevant chapter in the book and discussion Lecture 6 Integration by trigonometric transformation Read the relevant chapter in the book and discussion Lecture 7 Definite integral Read the relevant chapter in the book and discussion Lecture 8 Mid-term exam Mid-term exam Preparation Written exam 9 Calculating the area and volume by using definite integrals Read the relevant chapter in the book and discussion Lecture 10 Finding arc length and surface area by the use of definite integrals Read the relevant chapter in the book and discussion Lecture 11 Finding the coordinates of the center of mass Read the relevant chapter in the book and discussion Lecture 12 Pappus´s theorem and its application Read the relevant chapter in the book and discussion Lecture 13 Generalized integral Read the relevant chapter in the book and discussion Lecture 14 Generalized integral Read the relevant chapter in the book and discussion Lecture 15 Final exam Final exam preparation Written exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)   Calculus ve Analitik Geometri I. Cilt, SHERMAN K. STEIN, ANTHONY McGraw-Hill Inc., London, U.K., 1992  Genel Matematik, Genel Matematik, Ekrem Kadıoğlu, Muhammet Kamali, Erzurum, 2005.  Genel Matematik, Prof.Dr. Mustafa BALCI, Balcı Yayınları, 2008.   Lecture notes Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 60     Homeworks/Projects/Others 0 40 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 Thinks, interprets, analyzes and synthesizes geological events in 3D. 0 2 Chooses and applies necessary methods and instruments for engineering applications 3 3 Uses the information technology effectively. 2 4 Designs and performs experiments, collects data and interprets the results. 0 5 Works and undertakes responsibility in solving geological problems both individually and in multidiciplinary working groups 0 6 Investigates to obtain scientific information, and uses data bases and other data sources actively. 0 7 Has an awareness of life long learning; follows developments in science and technology to keep up to date 0 8 Uses Fundamental Geological information, having necessary information in Mathematical and Natural sciences and employs theoretical and applied information in these areas in engineering solutions. 4 9 Knows job related and ethical responsibilities, project management, office applications and safety, and realizes juridical responsibilities of engineering applications 0 10 Knows the universal and societal effects of engineering solutions and applications. 1 11 Has an awareness of entrepreneuring and innovative subjects; knows and finds solutions for the new century 3 12 Identifies, formulizes and solves geological problems. 0 13 Realizes the social effects of identified solutions for geological problems. 0 14 Identifies, defines, formulizes and solves engineering problems. Chooses and applies the appropriate analytical and modelling techniques for this purpose. 4 15 Investigates and reports all kinds of natural resources and geological hazards 0 16 Initiates effective interactions in Turkish both orally and in written form, and speaks at least one foreign language 0 17 Uses necessary techniques and instruments for geological applications 0 18 Identifies rock types, draws geological maps and cross sections. 0 19 Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself continuously. 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 2 28     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 2 2     Final Exam 1 2 2 Total Workload: 74 Total Workload / 25 (h): 2.96 ECTS Credit: 3