- About YÖS
The Examination for Foreign Students, referred to as YÖS, has been designed for foreign students wishing to study in Higher Education Institutions in Turkey. Depending on the results of this examination, you can apply to Turkish Institutions of Higher Education.
YÖS consists of two different parts as follows: Basic Learning Skills Test and Turkish Language Proficiency Test. In order to study in the best universities in Turkey, you need to have received at least a 40 standard score and then aim at receiving more than this score in the Basic Learning Skills Test.
Basic Learning Skills Test is composed of 80 questions consisting of 45 IQ related questions and 35 Mathematics and Geometry related questions.
- YÖS Topics
YÖS exam is divided into 2 main categories: IQ Section and Mathematics. However, Mathematics Section has 3 subcategories: Mathematics 1, Mathematics 2, and Geometry.
Topics covered on Mathematics 1 section are: Numbers; Rational and Decimal Numbers; Identities and Factorization; Ratios and Proportions; Exponentials; Radicals; First Order Equations; First Order Inequalities; Absolute Value; Permutation, Combination and Probability; Sets; Functions; Operation and Modular Systems.
Topics covered on Mathematics 2 section are: Polynomials; Quadratic Equations; Quadratic Inequalities; Quadratic Functions; Trigonometry 1; Trigonometry 2; Complex Numbers; Logarithm; Induction, Sequences, and Series; Binomial Expansion; Matrix and Determinant; Special Domain Functions; Limits; Indeterminate Forms; Definition of Derivative and Derivative of Functions; Applications of Derivative; Indefinite Integral; Definite Integral; Applications of Integral.
Topics covered on Geometry section are: Angles; Angles in a Triangle; Relationships in Triangle; The Auxiliary Elements in a Triangle; Special Triangles; Similarity and Area in Triangles; Polygons and Quadrilaterals; Parallelogram and Equilateral Quadranle; Rectangle and Square; Trapezoid and Deltoid; Length and Angle in a Circle; Power, Circumference and Area in a Circle; Line in Analytic Geometry; Circle in a Analytic; Solids; Vectors.
Topics covered on IQ section are: Passwords, Operations, Number Series, Numbers, Number – Figure Relations, Tables, Figure Relations, Graphs, and Perimeter and Area.
- Course Material
The essential learning materials for this course will be provided by the Instructor. All materials are suggested to help students develop their skills in decoding important information presented in text, numbers, and graphics; evaluating necessary information from different given sources; accumulating and arranging the information and establishing the relationships among them and cracking complex problems to arrive at an adequate conclusion; reading and understanding the written material; reasoning out and appraising the arguments; rectifying the written material in accordance with standard written English; helping candidates in analyzing and reproducing a given argument.
- Learning, Grading, and Workload
This is a “Student Centered Learning” Course. All the materials will be used to develop your Critical Reasoning skills. This places responsibility upon each student to be present and prepared at each class and to participate actively in class and team discussion and work. The materials are offered to help your thinking about the skills you aim to develop.
You are grownups. The major responsibility for learning belongs to the student. Substantial outside effort is expected. Most students will be able to master this subject with a commitment of around one to two hours of homework.
Learning in this course is continuous and cumulative – each session is important. There will formal tests/examinations. Surprise quizzes are always a possibility. These tests, examinations, and surprise quizzes are designed to help you achieve a higher grade on the real GMAT Exam.
- Schedule and Assignments
The following schedule is a tentative one. The schedule and topics will be adapted around students’ needs, depending entirely on their progress.
Course Features
- Lectures 312
- Quiz 0
- Duration 64 hours
- Skill level All levels
- Language English
- Students 0
- Certificate No
- Assessments Yes
Curriculum
- 32 Sections
- 312 Lessons
- Lifetime
- Week 1 - Session 111
- Week 1 - Session 2Topic: Rational & Decimal Numbers9
- Week 1 - Session 3Topic: Identities and Factorization10
- 5.0Identities
- 5.1Difference of two Square Expressions
- 5.2Sum and Difference of Two Cube Expressions
- 5.3Perfect Square Expressions
- 5.4Perfect Cube Expressions
- 5.5Factorization
- 5.6Bracketing of Common Factor, Factorization by Grouping
- 5.7Using Difference of Two Square in Factorization
- 5.8Factorization of the Expressions in Ax2 + Bx + C forms
- 5.9Factorization by term Adding or Subtracting
- Week 1 - Session 4Topic: Ratios and Proportions20
- 6.0Properties of Ratios and Proportions
- 6.1Topic: Exponentials
- 6.2Basic Properties
- 6.3Operations in Exponentials
- 6.4Power to a Power
- 6.5Negative Power
- 6.6Writing Exponential form of Decimals
- 6.7Exponentials Equations
- 6.8Topic: Radicals
- 6.9Radicals
- 6.10Exponential form of Radicals
- 6.11Simplifying Radicals
- 6.12Addition and Subtraction of Radicals
- 6.13Continued Radicals
- 6.14Finite Radicals Inside Each Other
- 6.15Conjugates and Rationalizing the Denominator
- 6.16Topic: First Order Equations
- 6.17First Order Equations
- 6.18Systems of First Order Equations with Two Unknowns
- 6.19Solutions of Systems of First Order Equations with Two Unknowns
- Week 2 - Session 1Topic: First Order Inequalities18
- 7.0First Order Inequalities
- 7.1Properties of Inequalities
- 7.2Systems of Inequalities
- 7.3Topic: Absolute Value
- 7.4Basic Properties
- 7.5Equations of Absolute Value
- 7.6Inequalities of Absolute Value
- 7.7Topic: Permutation, Combination, and Probability
- 7.8Permutation
- 7.9Combination
- 7.10Probability
- 7.11Topic: Sets
- 7.12Definition
- 7.13Subset, Complementary Set
- 7.14Union
- 7.15Intersection
- 7.16Properties of Union and Intersection
- 7.17Subtraction
- Week 2 - Session 2Topic: Functions15
- 8.0Definition
- 8.1Operations in Functions
- 8.2Types of Functions:
- 8.3Identity Function
- 8.4Constant Function
- 8.5Inverse Function
- 8.6Composite Function
- 8.7Permutation Function
- 8.8Linear Function
- 8.9Topic: Operation and Modular Systems
- 8.10Operation
- 8.11Properties of Operation
- 8.12Modular Systems
- 8.13Ones Digit of an Exponential
- 8.14Properties of Mod
- Week 2 - Session 3Topic: Mathematics 2: Polynomials12
- 9.0Definition
- 9.1Constant and Zero Polynomial
- 9.2Equality of Polynomials
- 9.3Four Operations in Polynomials
- 9.4Discrimination to Partial Fractions of Polynomials
- 9.5Topic: Quadratic Equations
- 9.6Finding the Solutions Set of the Quadratic Equations
- 9.7Factorization Method
- 9.8The Discriminant Method
- 9.9Equations that can be Converted into Quadratic Equations
- 9.10Relationships Between Roots and Coefficients
- 9.11Writing Quadratic Equation that Gives Roots
- Week 2 - Session 4Topic: Quadratic Inequalities6
- Week 3 - Session 1Topic: Trigonometry 18
- Week 3 - Session 2Topic: Trigonometry 26
- Week 3 - Session 3Topic: Complex Numbers8
- 13.0Definition
- 13.1Integer Power of i
- 13.2Equality of Two Complex Numbers and Conjugate Complex Numbers
- 13.3Interpretation of Complex Numbers on Analytic Plane
- 13.4Four Operations in the Complex Numbers
- 13.5The Distance Between the Two Points on the Complex Plane
- 13.6Polar (Trigonometric) Forms of Complex Numbers
- 13.7Roots of a Complex Number
- Week 3 - Session 4Topic: Logarithm15
- 14.0Logarithmic Functions and Properties of Logarithm
- 14.1Inverse of a Logarithmic Function
- 14.2Logarithmic Equations
- 14.3Logarithmic Inequalities
- 14.4Topic: Induction, Sequences, and Series
- 14.5Definition
- 14.6Summation Symbol
- 14.7Properties of Summation Notation
- 14.8Some Important Summation Formulas
- 14.9Multiplication Symbol
- 14.10Properties of Multiplication Notation
- 14.11Some Important Multiplication Formulas
- 14.12Sequences and Series
- 14.13Topic: Binomial Expansion
- 14.14Binomial Expansion and Pascal’s Triangle
- Week 4 - Session 1Topic: Matrix and Determinant10
- Week 4 - Session 2Topic: Special Domain Functions8
- Week 4 - Session 3Topic: Indeterminate Forms16
- 17.0Indeterminate Form 0/0
- 17.1Indeterminate Form ∞/∞
- 17.2Limits of Trigonometric Functions
- 17.3Indeterminate Form ∞-∞
- 17.4Indeterminate Form 0,∞
- 17.5Indeterminate Form 1^∞
- 17.6Indeterminate Forms 0^0 and ∞^0
- 17.7Topic: Definition of Derivative and Derivative of Functions
- 17.8Definition
- 17.9Rules of Taking Derivative
- 17.10Derivative of a Composite Function
- 17.11Topic: Definition of Derivative and Derivative of Functions
- 17.12Derivative of Trigonometric Functions
- 17.13Derivative of Inverse Trigonometric Functions
- 17.14Derivative of Logarithmic Functions
- 17.15Derivative of Exponential Functions
- Week 4 - Session 4Topic: Definition of Derivative and Derivative of Functions8
- Week 5 - Session 1Topic: Indefinite Integral15
- 19.0Properties of Indefinite Integral
- 19.1Basic Integration Formulas
- 19.2Integration Methods
- 19.3Change of Variable
- 19.4Dividing into Simple Fractions
- 19.5Integration by Parts
- 19.6Topic: Definite Integral
- 19.7Definition
- 19.8Properties of Definite Integral
- 19.9Derivative of Integral
- 19.10Integration of the Absolute Value Function
- 19.11Topic: Applications of Integral
- 19.12Area Calculus
- 19.13Finding Integral with Area
- 19.14Volume Calculus
- Week 5 - Session 2Topic: Angles18
- 20.0Point, Line, Plane, Half line
- 20.1Ray, Line Segment, Half-Open line segment
- 20.2Ange, Angle Bisector,
- 20.3Adjacent Angles, Opposite Angles, The Measure of an Angle, Supplementary Angles, Complementary Angles
- 20.4Two Parallel Lines Intersected by a Transversal
- 20.5Angles with Perpendicular Sides
- 20.6Topic: Angles in a Triangle
- 20.7Angle in a Triangle
- 20.8Types of Triangles According to the Sies
- 20.9Scalene Triangle
- 20.10Right Triangle
- 20.11Isosceles Triangle
- 20.12Equilateral Triangle
- 20.13The Angles in a Right Triangle
- 20.14Auxiliary Elements in a Triangle
- 20.15Altitude
- 20.16Bisector
- 20.17Median
- Week 5 - Session 3Topic: Relationships in Triangle10
- 21.0The relationships between the sides of the acute, right and obtuse angled triangles
- 21.1Inequalities in a Triangle
- 21.2The relationship between the sides of the enter penetrated triangle
- 21.3The relationship between auxiliary elements in a triangle
- 21.4Topic: The Auxiliary Elements in a Triangle
- 21.5The Bisector of a Triangle
- 21.6Interior Angle Bisector
- 21.7Exterior Angle Bisector
- 21.8The Median of a Triangle
- 21.9The Altitude of a Triangle
- Week 5 - Session 4Topic: Special Triangles7
- Week 6 - Session 1Topic: Similarity and Area in Triangles12
- Week 6 - Session 2Topic: Polygons and Quadrilaterals9
- Week 6 - Session 3Topic: Rectangle and Square7
- Week 6 - Session 4Topic: Length and Angle in a Circle16
- 26.0Length in a Circle
- 26.1Circle, Tangent and Chord
- 26.2Properties Related to Tangents and Chords
- 26.3The Circumscribed Quadrilateral
- 26.4Properties of a Circumscribed Quadrilateral
- 26.5The Case of Isosceles Trapezoid Being on a Circumscribed Quadrilateral
- 26.6Position of Two Circles with Respect to Each Other
- 26.7Common Tangents of Two Circles
- 26.8Length of a Common External Tangent Segment
- 26.9Length of the Common Internal Tangent Segment
- 26.10Angle in a Circle
- 26.11The Central Angle
- 26.12The Inscribed Angle
- 26.13The Angle Formed by a Chord and a Tangent
- 26.14The Exterior Angle
- 26.15The Interior Angle
- Week 7 - Session 1Topic: Power, Circumference and Area in a Circle7
- Week 7 - Session 2Topic: Line in Analytic Geometry7
- Week 7 - Session 3Topic: Circle in an Analytic6
- Week 7 - Session - 4Topic: Vectors9
- Week 8 - Session 1Topic: IQ3
- Week 8 - Session 2Topic: IQ2
- Week 8 - Session 3Topic: IQ2
- Week 8 - Session 4Topic: IQ2