
Description of Individual Course UnitsCourse Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  MAT151  MATHEMATICS I  Compulsory  1  1  5 
 Level of Course Unit  First Cycle  Objectives of the Course  The aim of course is to gain the ability of systematic and analytic approach to the statistics problems for students. The fundemantal concepts and methods of mathematic is thought during this course.  Name of Lecturer(s)  Doç.Dr.Tahsin ÖNER  Learning Outcomes  1  Will be able to recognise properties of functions and their inverses, to use properties of polynomials, rational functions, exponential, logarithmic, trigonometic and inverse trigonometric functions.  2  Will be able to understand conceptual and visual representatioan of limits, continuity, diferentiability, and tangent line approximations for functions at a point.  3  Will be able to apply limit theorems, the Squeeze Theorem, left and right limits, and limits involving infinity and l’hospital’s rule.  4  Will be able to obtain linear and Taylor polynomial approximations of functions and to approximate the values of functions  5  Will be able to apply the power rule, product rule, quotient rule and the chain rulet o functions explicity and implicity for finding deribatives,.  6  Will be able to use derivatives in practical applications, such as distance, velocity, acceleration, related rates and extereme value problems,  7  Will be able to use first and second derivatives tests to optimize functions and to find critical points, inflections points, extreme values. 
 Mode of Delivery  Face to Face  Prerequisites and corequisities  None  Recommended Optional Programme Components  None  Course Contents  Preliminaries: Real Numbers and the Real Line, Cartesian Coordinates in the Plane, Graphs of Quadratic Equations; Functions and Their Graphs, Combining Functions to Make New Functions, Polynomials and Rational Functions, The Trigonometric Functions; Limits of Functions; Limits at Infinity and Infinity Limits; Continuity; Tangent Lines and Their Spoles; The Derivative; Diferentiations Rules; The Chain Rule; Derivatives of Trigonometric Functions; HigherOrder Derivatives; Using Differentials and Derivatives (Derivatives in Economics) ; The MeanValue Theorem; Implicit Differantiation; Inverse Functions; Exponential and Logarithmic Functions; The Natural Logarithm and Exponential; The Inverse Trigonometric Functions; Related Rates; Indeterminate Forms; Extreme Values; Concavity and Inflections; ExtremeValues Problems; Sketching the Graph of a Functions.  Weekly Detailed Course Contents  
1  Preliminaries: Real Numbers and the Real Line, Cartesian Coordinates in the Plane, Graphs of Quadratic Equations; Functions and Their Graphs  Giving some information about course   2  Preliminaries: Combining Functions to Make New Functions, Polynomials and Rational Functions, The Trigonometric Functions  Solving problems with a mentor   3  Limits of Functions  Solving problems with a mentor   4  Limits at Infinity and Infinity Limits  Solving problems with a mentor   5  Continuity; Tangent Lines and Their Spoles  Solving problems with a mentor   6  The Derivative  Solving problems with a mentor   7  Diferentiations Rules; The Chain Rule; Derivatives of Trigonometric Functions  Solving problems with a mentor   8  Midterm exam  Solving problems with a mentor   9  HigherOrder Derivatives; Using Differentials and Derivatives (Derivatives in Economics)    10  The MeanValue Theorem; Implicit Differantiation  Solving problems with a mentor   11  Inverse Functions; Exponential and Logarithmic Functions; The Natural Logarithm and Exponential; The Inverse Trigonometric Functions  Solving problems with a mentor   12  Related Rates  Solving problems with a mentor   13  Indeterminate Forms; Extreme Values; Concavity and Inflections  Solving problems with a mentor   14  ExtremeValues Problems  Solving problems with a mentor   15  Sketching the Graph of a Functions  Solving problems with a mentor   16  Final Exam   
 Recommended or Required Reading  1. Robert A. Adams and Christopher Essex, "Calculus A Complete Course", Pearson, 7th Edition, ("Kalkülüs  Eksiksiz Bir Ders"  Cilt I,
Prof.Dr.M.Terziler, Doç.Dr.T.ÖNER, Palme Yayıncılık, 2012), (2010).
2. William L. Briggs, Lyle Cochran and Bernard Gillett, "Single Variable Calculus", Pearson, (2002).
3. Elgin H. Johnston and Jerry Mathews, Pearson, (2014).
 Planned Learning Activities and Teaching Methods   Assessment Methods and Criteria  
Midterm Examination  1  100  SUM  100  
Final Sınavı  1  100  SUM  100  Term (or Year) Learning Activities  40  End Of Term (or Year) Learning Activities  60  SUM  100 
 Language of Instruction  Turkish  Work Placement(s)  None 
 Workload Calculation 

Midterm Examination  1  2  2  Final Examination  1  2  2  Quiz  1  1  1  Attending Lectures  16  3  48  Practice  16  1  16  Individual Study for Homework Problems  1  15  15  Individual Study for Mid term Examination  1  21  21  Individual Study for Final Examination  1  35  35  Individual Study for Quiz  1  10  10  
Contribution of Learning Outcomes to Programme Outcomes  LO1     4   4   4  4  4     4     4       3  LO2     4   4   4  4  4     4     4       3  LO3     4   3   4  4  4     4     4       3  LO4     4   4   4  4  4     4     4       3  LO5     4   4   4  4  4     4     4       3  LO6     5   4   4  4  4     4     4       3  LO7     5   4   4  4  4     4     4       3 
 * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High 



Ege University, Bornova  İzmir / TURKEY • Phone: +90 232 311 10 10 • email: intrec@mail.ege.edu.tr 
