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Course Code Course Title Semester(s) offered Language of Course Lecturer(s) Pre-requisit(ies) Co –requisit(ies) Credit Value ECTS Value Duration of Course Total Student StudyTime Objectives Syllabus IS 101 Mathematics I First English Assist.Prof.Dr.Arzu Şen 3 6 15 weeks 120 hours Mathematics is the language of universe. For this reason it is vitally important to find and apply the mathematical equivalent of any problems that emerge in our daily lives. Therefore, the course aims at giving the basic mathematics and providing the business administration students the capacity to handle and solve the problems that may occur in their fields. The course will enable the students to use the relevant techniques in problem solving, and analytical thinking. To understand what a function is and to use functional notation, finding the domain of a given function, to find and graph equations of lines, forms of linear equations, To graph quadratic functions, functions of the form 2 2 y ax 2 , y ax 2 k , y ax h , y ax h k , y ax 2 bx c, to graph cubic polynomial s and other elemantary functions Combining functions, composition of functions, inverse of a function, graphical relation of a function and its inverse, to find an equation for a function described in words To find approximate and exact rates of change, to understand the definition of derivative and to compute derivatives from the definition, to evaluate limits To determine where a function is continuous, to find derivatives of polynomials To apply the derivative Differentiation Techniques: To use the product and quotient rules, To use the chain rule, To find derivatives by implicit differentiation To find higher derivatives Curve-sketching: To determine where a function is increasing or decreasing; to find local maxima and minima Intended Learning Outcomes Learning/ Teaching Methods Assignments Examination Assessment Reading List To apply the second derivative: concavity, inflection points, testing for maxima and minima, To graph polynomials using the calculus, To find asymptotes of a curve and graph nonpolynomials To solve problems involving maxima and minima, To solve related-rate problems, To use differentials for approximation To solve problems involving motion along a line, To apply the derivative to problems in economics Matrices: Definition, Null matrix, Unit matrix, Equal matrices, transpose of a matrix, matrix addition and substraction, matrix multiplication, applications of matrix arithmetic, Solution of Equations: Elimination Methods Determinants: Evaluate 2x2 and 3x3 determinants, Using Cramer’s Rule to solve equations In this way the students, who will take active role in future business administration positions, will be potent and successful in giving apt decisions and managing crises. Lecture 1 midterm, 1 final (written form) Midterm 1 % 20 Midterm 2 % 20 Final % 50 Attendance %10 Polatoğlu, Yaşar ,Bolcal, Metin- Şen, Arzu .General Mathematics, İKÜ. Yayınları Paul, Richard S.-, Shaevel, M.Leonard. Essentials of Technical Mathematics Bernhardt, Grossnickle, Reckzeh.Discovering Structure In Algebra Hockett Sternstein, Second Edition, Applied Calculus Date : 23.09.2008