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Course Description Course Name : Mathematics I Course Code : EAS105 Course Type : Compulsory Level of Course : First Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 4 Name of Lecturer(s) : Prof.Dr. HASAN ALTAN ÇABUK Asst.Prof.Dr. ERSİN KIRAL Learning Outcomes of the Course : Gives the ability to apply to business, economics and social sciences problems by using information about mathematics Creates and solves mathematical model of economics problems encountered in business area Defines and formulates the problem Interprets by analyzing the results obtained from the solutions Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : In this course, basic concepts of Mathematics will be given to form theoretical background. Course Contents : Functions, Functions and Their Graphs, Limits and Continuity, Derivates, Economics Applications of Derivates, Indeterminate Forms in Limits, Graphical Illustration of Polynomial and Rational Function.Graphical Illustration of Exponantial Function.Graphical Illustration of Logarithmic Function. 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 ELEMENTARY FUNCTIONS (I) Linear Equations and Inequalities Graphs and Lines Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 2 ELEMENTARY FUNCTIONS (II) Functions Elementary Functions: Graphs and Transformations Quadratic Functions Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 3 ELEMENTARY FUNCTIONS (III) Polynomials and rational functions Exponential Functions Logarithmic functions Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 4 LIMIT (I) Introduction to the limit Infinite Limits and Limits at Infinity Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 5 LIMIT (II) Continuity Limits and continuity applications Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 6 DERIVATIVE (I) Rate of Change, Instantaneous Rate of Change, The slope of a graph, Definition of Derivative,Finding Derivatives, Slope of the tangent line Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 7 DERIVATIVE (II) Basic Rules of Differentiation Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 8 Midterm examination - - 9 DERIVATIVE (III) The concept of differential Additional Derivative Topics Business, Economics and Social Sciences Applications Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 10 DERIVATIVE (IV) Marginal Analysis for Business and Economics Marginal Cost, Revenue and Profit Cost Analysis Marginal Cost and Full Cost Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 11 Constant-e and continuous compound interest Derivatives of Exponential and Logarithmic Functions Product and Quotient Rules Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 12 The Chain Rule Implicit Differentiation Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 13 Constant-e and Continuous Compound Interest Derivatives of Exponential and Logarithmic Functions Product and Quotient Rules Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 14 First Derivative and Graphs Second Derivatives and Graphs Applications Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 15 L´Hopital´s Rule Curve Drawing Techniques Optimization Students will be prepared by studying relevant subjects from source books according to weekly program Direct expression, problem solving 16/17 Final examination - -   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  İşletme ve İktisat için Matematiksel Yöntemler, Schaum’s Outlines, Nobel Yayınevi  Calculus For Business, Economics, Life Sciences and Social Sciences, Mond A. Barnett-Michael R. Zeigler-Karl E. Byleen, Çeviri Editörü: Prof. Dr. Arif Sabuncuoğlu   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 8 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 Models problems with Mathematics, Statistics, and Econometrics 5 2 Explains Econometric concepts 4 3 Estimates the model consistently and analyzes & interprets its results 2 4 Acquires basic Mathematics, Statistics and Operation Research concepts 5 5 Equipped with the foundations of Economics, and develops Economic models 2 6 Describes the necessary concepts of Business 3 7 Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems 4 8 Collects, edits, and analyzes data 3 9 Uses a package program of Econometrics, Statistics, and Operation Research 1 10 Effectively works, take responsibility, and the leadership individually or as a member of a team 3 11 Awareness towards life-long learning and follow-up of the new information and knowledge in the field of study 5 12 Develops the ability of using different resources in the form of academic rules, synthesis the information gathered, and effective presentation in an area which has not been studied 3 13 Uses Turkish and at least one other foreign language, academically and in the business context 4 14 Good understanding, interpretation, efficient written and oral expression of the people involved 5 15 Questions traditional approaches and their implementation while developing alternative study programs when required 5 16 Recognizes and implements social, scientific, and professional ethic values 5 17 Follows actuality, and interprets the data about economic and social events 5 18 Improves himself/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development 5 * 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 3 42     Out of Class Study (Preliminary Work, Practice) 14 3 42 Assesment Related Works     Homeworks, Projects, Others 8 2 16     Mid-term Exams (Written, Oral, etc.) 1 5 5     Final Exam 1 5 5 Total Workload: 110 Total Workload / 25 (h): 4.4 ECTS Credit: 4