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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 201 Mathematics II 2 English Assis. Prof. Dr. Arzu ŞEN None None 4 6 14 weeks 150 hours Mathematics is an universal language. Because of this, building a mathematical model to solve a problem in any field is crucial. Then our purpose is giving not only basic mathematical knowledge and mathematical idea but also the technique of the solving a problem. 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, Find the market equilibrium using Cramer’s Rule, Use Cramer’s Rule for the IncomeDetermination Model Matrices and Determinants, Systems of Linear Equations The Definite Integral: To approximate and calculate limits and sums To Understand the Definite Integral and Use the Fundamental Theorem of the Calculus: Definition of the definite integral, The Fundamental Theorem of the calculus, The antiderivative. To find antiderivatives: Antiderivatives or antidifferentials; indefinite integrals, rules of integration, applications of indefinite integrals, applications to definite integrals. To Integrate by Substitution: Using substitution in integration, The Chain Rule, Evaluating definite integrals. To Use Integration by Parts: The parts formula, The basis of the parts formula To Compute Areas between Curves, To Analyze Motion Along a Line and Similar Problems: Motion along a line, Other applications. To Understand and Apply the Average Value of a Function: Background: Average Velocity, Definition of average (or mean) value Intended Learning Outcomes Learning/ Teaching Methods Assignments Examination Assessment To Use Integration in Problems in Economics: Supply and Demand, Total Maintenance Charges, Predicting Group size from dropout expectancy, Present value, Resource depletion. To Use Integration on Probability Problems: Probability density functions, a famous probability density function, expected value and variance. To Understand and Solve Simple Differential Equations. To Apply Separation of Variables: Separating variables, Three important separable differential equations. To Understand Functions of Several Variables: Graphs of functions of two variables, Demand functions of two variables. To Find and Apply Partial Derivatives: Partial derivatives, Functions of more than two variables, Partial derivatives of higher order, The total differential, Competitive versus complementary products. Local Maxima and Minima, An Application to the method of Least Squares. The Method of Substitution, Lagrange Multipliers, Application to functions of more than two variables, an application to economics. Basic mathematical principals Lecture Written exam Midterm Final Attendance Indivudual works Collective works Essentials of technical mathematics, Richard S.Paul, M.Leonard Shaevel. Discovering structure in algebra, Grossnickle Reckzeh Bernhardt. % [50] % [50] % [- ] %[-] %[-] Reading List Güncelleme Tarihi: 23.02.2010