          Description of Individual Course Units
 Course 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 co-requisities
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; Higher-Order Derivatives; Using Differentials and Derivatives (Derivatives in Economics) ; The Mean-Value 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; Extreme-Values Problems; Sketching the Graph of a Functions.
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 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 Higher-Order Derivatives; Using Differentials and Derivatives (Derivatives in Economics) 10 The Mean-Value 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 Extreme-Values Problems Solving problems with a mentor 15 Sketching the Graph of a Functions Solving problems with a mentor 16 Final Exam
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
 Term (or Year) Learning Activities Quantity Weight Midterm Examination 1 100 SUM 100 End Of Term (or Year) Learning Activities Quantity Weight 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 