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Course Description Course Name : Calculus II Course Code : ENM122 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Spring (16 Weeks) ECTS : 5 Name of Lecturer(s) : Learning Outcomes of the Course : Application of mathematics, science and engineering knowledge Ability to identify, formulate, and solve engineering problems Have the knowledge about the application of derivatives Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To give knowledge about the derivative and integral applications Course Contents : Applications of definite integrals; area, volume and centroid calculations. Polar coordinates. Vectors, matrices (definition, types, sum and multiplication).Law of determinants and their calculations. Linear equations and their solutions. Lines and planes in space. Transformation of coordinate axes. Multiple integrals and their uses. Language of Instruction : Turkish Work Place : Class room   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Definite Integral and Its Applications (Area) Reading the related chapter from text book Teaching on board 2 Integral Applications (Volume, Arc Length, Surface Area, Momentum ...) Reading the related chapter from text book Teaching on board 3 Polar Coordinates and Parametric Systems Reading the related chapter from text book Teaching on board 4 Polar Coordinate System (Area, Arc Length, Surface Area) Reading the related chapter from text book Teaching on board 5 Generalized Integrals Reading the related chapter from text book Teaching on board 6 Vectors Reading the related chapter from text book Teaching on board 7 Matrices Reading the related chapter from text book Teaching on board 8 Midterm exam Classical exam 9 Determinants Reading the related chapter from text book Teaching on board 10 Solving Systems of Linear Equations Reading the related chapter from text book Teaching on board 11 Homogeneous Linear Equations Systems Reading the related chapter from text book Teaching on board 12 Eigenvalues and Eigenvectors Reading the related chapter from text book Teaching on board 13 Lines and Planes in Space Reading the related chapter from text book Teaching on board 14 Transformation of coordinate axes Reading the related chapter from text book Teaching on board 15 Multiple Integrals and Applications Reading the related chapter from text book Teaching on board 16/17 Final exam Classical exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  RAYMOND A. BARNETT, MICHAEL R. ZIEGLER , KARL E. BYLEEN , CALCULUS FOR BUSINESS, ECONOMICS, LIFE SCIENCES, AND SOCIAL SCIENCES, Twelfth Edition Prentice Hall , 2012  Thomas´s Calculus Early Transcendentals. Thomas, G.B., Weir, M., Hass, J. Twelfth edition, Pearson Publication, 2010 Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 90     Homeworks/Projects/Others 1 10 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 Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. 3 2 Has sufficient background on topics related to mathematics, physical sciences and industrial engineering. 5 3 Gains ability to use the acquired theoretical knowledge on basic sciences and industrial engineering for describing, formulating and solving an industrial engineering problem, and to choose appropriate analytical and modeling methods. 4 4 Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . 2 5 Gains ability to choose and apply methods and tools for industrial engineering applications. 2 6 Can access information and to search/use databases and other sources for information gathering. 3 7 Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. 3 8 Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously. 2 9 Can use computer software in industrial engineering along with information and communication technologies. 2 10 Can use oral and written communication efficiently. 3 11 Has a conscious understanding of professional and ethical responsibilities. 3 12 Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. 2 13 Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. 3 14 Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering. 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) 16 3 48     Out of Class Study (Preliminary Work, Practice) 16 4 64 Assesment Related Works     Homeworks, Projects, Others 1 10 10     Mid-term Exams (Written, Oral, etc.) 1 2 2     Final Exam 1 2 2 Total Workload: 126 Total Workload / 25 (h): 5.04 ECTS Credit: 5