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Course Description Course Name : Calculus I Course Code : FZ 117 Course Type : Compulsory Level of Course : Second Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 6 Name of Lecturer(s) : Prof.Dr. HAMİDE KAVAK Prof.Dr. AYSEL KAYIŞ TOPAKSU Learning Outcomes of the Course : recognize and classify numbers and functions. define and express limit and derivative Associate the derivative with its applications and calculate the application problems. find the extremum values of functions draw the graphics of the functions recognize Taylor Formula and their applications. apply L’Hospital’s Rule where it is appropriate learn the natural logarithma and exponantial functions Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Learning of basic mathematics for pyhsicist Course Contents : Functions, The rate of change of a function; limits; derivative of algebraic functions; applications of derivative, transcendantal functions; hyperbolic functions; introduction to integration Language of Instruction : Turkish Work Place : Lecture Halls of Art and Science Faculty   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Basic Concepts, Real Numbers, Number Axis, Intervals, Inequalities Read the related chapter in the book Lecture and Discussion 2 Functions, Composition, Functions Inverse Functions and Graphs Read the related chapter in the book Lecture and Discussion 3 trigonometric Functions Read the related chapter in the book Lecture and Discussion 4 Definition and Calculation Limit, Limit theorems, Infinite Limits, Uncertainties Read the related chapter in the book Lecture and Discussion 5 Continuity, discontinuity, and Types Read the related chapter in the book Lecture and Discussion 6 Derivatives and Derivative Rules Read the related chapter in the book Lecture and Discussion 7 Derivatives of Trigonometric Functions Read the related chapter in the book Lecture and Discussion 9 Enhancements and Differentials Read the related chapter in the book Lecture and Discussion 10 Extreme Values ??of Functions Read the related chapter in the book Lecture and Discussion 11 Rolle´s Theorem, Mean Value Theorem Read the related chapter in the book Lecture and Discussion 12 Ambiguous Figures and Hopital´s Rule, Taylor Remainder Theorem and Applications Read the related chapter in the book Lecture and Discussion 13 Inverse Functions and Their Derivatives Read the related chapter in the book Lecture and Discussion 14 Natural Logarithms, Exponential Functions and Their Derivatives Read the related chapter in the book Lecture and Discussion 15 Natural Logarithms, Exponential Functions and Their Derivatives Read the related chapter in the book Lecture and Discussion 16/17 Final exam Study for the exam exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  1. Thomas Calculus 1, Beta, 2009, Çeviran: Recep Korkmaz   2. Calculus, Robert Ellis, Denny Gulick, Harcourt Brace Jovanovich, Inc., 1982  3. 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. 2 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. 3 4 Design experiments in the field of physics. 2 5 Explain the basic concepts and principles in the field of physics. 3 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. 2 10 Reach the Information in the field of physics, for the purpose of classification, and uses. 2 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. 3 13 Use the information technologies in Physics area for their purpose. 2 14 Take responsibility as a team or alone to overcome the problems encountered in the field of physics . 3 15 Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. 2 16 Classify, use and critically evaluate the knowledg taken by his/her efforts. 2 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. 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 6 84     Out of Class Study (Preliminary Work, Practice) 14 4 56 Assesment Related Works     Homeworks, Projects, Others 0 0 0     Mid-term Exams (Written, Oral, etc.) 1 10 10     Final Exam 1 10 10 Total Workload: 160 Total Workload / 25 (h): 6.4 ECTS Credit: 6