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Course Description Course Name : Calculus II Course Code : FZ 118 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Spring (16 Weeks) ECTS : 8 Name of Lecturer(s) : Prof.Dr. AYSEL KAYIŞ TOPAKSU Prof.Dr. HAMİDE KAVAK Learning Outcomes of the Course : 1. To get information about the arrays and series, and learn the applications. 2. Learn the properties of definite and indefinite integrals and getting ability to take the integrals of various functions. 3. Learn the applications of definite integrals and being able to use them in calculations of volume, moment and center of gravity. 4. To learn limits and continuity operations in multivariable functions Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : To teach the students basic mathematics Course Contents : Arrays, Theorems for Calculation of Limits of Arrays Series, infinite series, convergence of series, Ratio and Root Tests Power series, Taylor and Maclaurin series, Binomial Theorem, Applications of Power Series Definition and Properties of Definite Integral, Fundamental Theorem of Calculus Indefinite Integrals and the Transformation Rule Applications of definite integrals, volume calculations and Rotation About an Axis Lengths of Plane Curves, Rotary Surface Areas and Papus Theorems Moments and Weight Centers Integration Techniques, Partial Integration, Integration of Rational Functions Trigonometric transformations and trigonometric integrals Multivariable Calculus, Higher Dimensions Limits and Continuity Partial Derivatives, Chain Rule, Implicit Function Theorem Double Integrals, Triple Integrals 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 Arrays, Theorems for Calculation of Limits of Arrays Read the related chapter in the book Lecture and Discussion 2 Series, Infinite series, Convergence of Series, Ratio and Root Tests Read the related chapter in the book Lecture and Discussion 3 Power series, Taylor and Maclaurin series, Binomial Theorem, Applications of Power Series Read the related chapter in the book Lecture and Discussion 4 Definition and Properties of Definite Integral, Fundamental Theorem of Calculus Read the related chapter in the book Lecture and Discussion 5 Indefinite Integrals and the Transformation Rule Read the related chapter in the book Lecture and Discussion 6 Applications of definite integrals, Volume Calculations and Rotation About an Axis Read the related chapter in the book Lecture and Discussion 7 Applications of definite integrals, Volume Calculations and Rotation About an Axis Read the related chapter in the book Lecture and Discussion 8 Midterm Exam Exam Exam 9 Lengths of Plane Curves, Rotary Surface Areas and Papus Theorems Read the related chapter in the book Lecture and Discussion 10 Moments and Weight Centers Read the related chapter in the book Lecture and Discussion 11 Integration Techniques, Partial Integration, Integration of Rational Functions Read the related chapter in the book Lecture and Discussion 12 Trigonometric Transformations and Trigonometric Integrals Read the related chapter in the book Lecture and Discussion 13 Multivariable Calculus, Higher Dimensions Limits and Continuity Read the related chapter in the book Lecture and Discussion 14 Partial Derivatives, Chain Rule, Implicit Function Theorem Read the related chapter in the book Lecture and Discussion 15 Double Integrals, Triple Integrals Read the related chapter in the book Lecture and Discussion 16/17 Final exam Exam Exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  3. Calculus, Robert Ellis, Denny Gulick, Harcourt Brace Jovanovich, Inc., 1982  1. Thomas Calculus 1, Beta, 2009, Çeviran: Recep Korkmaz  2. College Mathematics, Ayres Frank, McGraw Hill, Newyork, 2001, 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 Have knowledge of a foreign language at least monitoring developments in the field of physics. 1 2 Know the importance of individual development. 3 3 Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. 1 4 Design experiments in the field of physics. 0 5 Explain the basic concepts and principles in the field of physics. 2 6 Evaluate the developmets in the field of Physics by using scientific methods and techniques. 3 7 Combine the knowledge in the field of physics with the other scientific area. 4 8 Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. 5 9 Explain the methods of producing scientific knowledge in the field of physics. 3 10 Reach the Information in the field of physics, for the purpose of classification, and uses. 1 11 Use the advanced theoretical and practical knowledge acquired in the field of physics. 3 12 Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. 0 13 Use the information technologies in Physics area for their purpose. 1 14 Take responsibility as a team or alone to overcome the problems encountered in the field of physics . 2 15 Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. 3 16 Classify, use and critically evaluate the knowledg taken by his/her efforts. 3 17 Know that learning process is life-long and acts accordingly. 3 18 Both with colleagues, as well as off the field of builds relationships ethically use information, communication technologies. Define necessities in learning in scientific, social, cultural and artistic areas and improve 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) 14 6 84     Out of Class Study (Preliminary Work, Practice) 14 6 84 Assesment Related Works     Homeworks, Projects, Others 0 0 0     Mid-term Exams (Written, Oral, etc.) 1 15 15     Final Exam 1 15 15 Total Workload: 198 Total Workload / 25 (h): 7.92 ECTS Credit: 8