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MATHEMATICS PROGRAMME COURSE DESCRIPTION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT151 MATHEMATICS 1 3 3 4

GENERAL INFORMATION

Language of Instruction : Turkish
Level of the Course Unit : ASSOCIATE DEGREE, TYY: + 5.Level, EQF-LLL: 5.Level, QF-EHEA: Short Cycle
Type of the Course : Compulsory
Mode of Delivery of the Course Unit -
Coordinator of the Course Unit Lecturer SELİN RÜYA ÇAKIR
Instructor(s) of the Course Unit Lecturer İPEK EBRU KARAÇAY
Course Prerequisite No

OBJECTIVES AND CONTENTS

Objectives of the Course Unit: It is aimed to learn the mathematics used in the basic calculations required for the department.
Contents of the Course Unit: Basic Concepts (Numbers), Rational Numbers and Decimal Fractions, Number Systems and Digit Concept, Prime Factors and Exact Divisors, Division and Divisibility Rules, Factorial - Base Arithmetic, Obeb (Ebob) and Okek (Ekok), Solving Equations - Problems, Simple Inequalities - Absolute Value, Exponents - Square Root Numbers, Factorization and Identities, Permutation - Combination - Probability, Operation - Modular Arithmetic, Geometric concepts - Volume Calculus.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)

Provides analytical solutions to the problems encountered.
Makes calculations for the solution of technical problems.
Makes geometric area and volume calculations.
Analyzes and evaluates problems by using materials related to mathematics based on the competencies gained in secondary education.
Evaluates the concepts, theories and data in mathematics science with scientific methods, identifies, analyzes, discusses, and develops proposals based on evidence and research.
Have knowledge of computer software at the level required by mathematics science.
To have social, scientific and ethical values in the stages of collecting, interpreting and announcing data related to mathematics science. Uses the ability of abstract thinking.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY

Week Preparatory Topics(Subjects) Method
1 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1. Express the repeated product of a natural number with itself as an exponential quantity and determine the value of exponential quantities. 2. Performs four operations with natural numbers taking into account the priority of operations. 3. Performs operations to apply the property of common factor bracketing and dispersion in natural numbers. 4. Solves problems that require four operations with natural numbers. 5. Relates number sets to each other. a) Introduces the symbols of natural number, whole number, rational number, irrational number and real number sets and emphasizes the relationship between these number sets. 1. Divides a natural number by a unit fraction and a unit fraction by a natural number and makes sense of this operation. 6. Solves numbers given in decimal representations. 7. Converts numbers given in decimal notation to rational numbers. 8. Multiplies a natural number by a fraction and makes sense of this operation. 9. Solves problems that require operations with fractions. Lecture, Question and Answer, Illustration, Problem solving
2 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1. Interprets whole numbers and displays them on the number line. 2. Compares and sorts whole numbers. 3. Performs addition and subtraction operations with whole numbers; solves related problems. 4. Understands that subtraction of whole numbers means adding with the opposite sign of the negative. 5. Solves problems related to the divisibility rules of whole numbers. (Divisibility rules of 2, 3, 4, 5, 8, 9, 10, 11 and the numbers obtained from these numbers such as 6, 12, 15) Lecture, Question and Answer, Illustration, Problem solving
3 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1.Makes applications about EBOB and EKOK in integers. a) Real life problems are included. b) EBOB and EKOK functions in spreadsheets are used. Lecture, Question and Answer, Illustration, Problem solving
4 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1. Expresses the rule of arithmetic sequences with a letter; finds the desired term of the sequence whose rule is expressed with a letter. 2. Writes an algebraic expression appropriate to a given verbal situation and a verbal situation appropriate to a given algebraic expression. 3. Calculates the values of the algebraic expression for different natural number values of the variable. 4. Explains the meaning of simple algebraic expressions. 5. Performs addition and subtraction operations with algebraic expressions. Lecture, Question and Answer, Illustration, Problem solving
5 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. First Order Equations and Inequalities 1. Finds the solution sets of first order equations and inequalities with one unknown. a) Remind students to solve first order equations and inequalities with one unknown. Lecture, Question and Answer, Illustration, Problem solving
6 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1. Solves equations involving exponential expressions. a) The concept of exponential expression is reminded. b) Applications are made about the integer power of a real number. c) The properties of exponential expressions are emphasized. 2. Determines the absolute value of an integer and makes sense of it. 3. Explains the absolute value of a real number and states the properties related to absolute value. 4. Finds the solution sets of equations and inequalities involving one or two absolute value terms in a first-order unknown. Lecture, Question and Answer, Illustration, Problem solving
7 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1. Determines the relationship between perfect square natural numbers and their square roots. 2. Performs multiplication and division operations with square root expressions. 3. Performs four operations with cube root expressions. 4. performs operations with nth order roots. 5. Finds conjugates in rooted expressions. 6. Makes ordering in rooted expressions. 7. Factors a polynomial. a) Factorization applications are made using common factor bracketing and variable substitution methods. b) Factorization applications are made using identities of perfect square, difference of two squares, cube of sum and difference of two terms, sum and difference of cubes of two terms. c) Expressions of the form 𝑎x2 + 𝑏x + 𝑐𝑐 are factored. Lecture, Question and Answer, Illustration, Problem solving
8 - MID-TERM EXAM -
9 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1. Uses ratio in comparing multiplicities and shows the ratio in different forms. 2. Determines the ratio of two multiplicities in the same or different units. 3. Solves problems related to direct and inverse proportion. 4. Finds the quantity corresponding to a given percentage of a quantity; finds the quantity given a given percentage. 5. Calculates one quantity as a percentage of another quantity. Lecture, Question and Answer, Illustration, Problem solving
10 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1.Collects data about real life problems. 2.Translates the real life problem into mathematical language. 3.Solves the real life problem translated into mathematical language and applies it to real life. Lecture, Question and Answer, Illustration, Problem solving
11 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1. The basic concepts related to sets are reminded. a) Real life examples about sets are given. b) Different representations of sets are given. c) Cantor's works are given. 2. Performs operations using a subset. a) The concept of subset and its properties are discussed. b) Real-life examples about the concept of subset are given. c) Problems requiring combination are not included. 3. Performs operations using the equality of two sets. a) The concept of equality of two sets is associated with the concept of subset. b) The concept of equivalent set is not given. 4. Solves problems with the help of union, intersection, difference and complement operations in sets. a) The properties of union, intersection, difference and integration operations of sets are given. b) The concept of disjoint set is given. c) Relationships that give the number of elements of the union of at most three sets are emphasized. ç) Associations are made between operations with sets and symbols, notations and operations expressed with them used in symbolic logic. Lecture, Question and Answer, Illustration, Problem solving
12 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1. Solves problems related to functions. a) The concept of function is explained. b) Only functions defined on real numbers are discussed. c) Implicit function, implicit function, one-to-one function, equal function, unit (identity) function, constant function, linear function, odd function, even function and partially defined function are explained. ç) The equality of two functions is explained with examples. d) Using the functions f and g, operations 𝑓 + 𝑔, 𝑓 - 𝑔, 𝑓. 𝑔, 𝑓/𝑔, 𝑓/𝑔, but these operations are not performed for piecewise defined functions. e) Real life problems and the use of tables and graphs are included. 2. Draws the graphs of functions. a) Applications related to the graphs of functions of the form f(x) = ax + b are made. b) The graphs of the functions given in piecewise defined form are drawn. c) The graph of the functions of the type f(x) = ax + b is drawn with the help of information and communication technologies and the relationship between the coefficients a and b and the function graph is discussed. 3. Interpret the graphs of functions. a) The definition and image sets of the functions whose graphs are given are shown. b) In a function graph, it is pointed out that the lines drawn parallel to the y-axis from each point where the function is defined on the x-axis intersect the graph at only one point (vertical/vertical line test). c) Emphasize that the graph of a function f is the graph of the equation y = f(x) and that the points (if any) where the graph crosses the x-axis are the solution set of the equation f(x) = 0 in real numbers. 4. Make graphical representations of real-life situations that can be expressed by linear functions. 3. Makes applications related to one-to-one and covering functions. a) The one-to-one and covering of a function is examined on the graph with the horizontal line test and is related algebraically. b) With the help of information and communication technologies, it is determined whether a function is one-to-one and covering. 4. Performs operations related to the operation of composition in functions. a) The operation of composition is handled by associating it with algebraic and graphical representations of functions. b) It is stated that the operation of composition in functions has the property of unification, and it is shown with examples that it does not change. c) The composition of piecewise defined functions is not entered. 5. Finds the inverse of a given function. a) The necessary conditions for the inverse of a function to be a function are stated. b) The graph of the inverse of only a one-to-one and continuous linear function is drawn; it is shown that the graph of the function and its inverse are symmetric with respect to the y=x line. c) The inverse of piecewise defined functions is not given. Lecture, Question and Answer, Illustration, Problem solving
13 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1.Defines operations with functions of two or more variables and solves examples. 2.Demonstrate the properties of modular arithmetic and make applications using them. Lecture, Question and Answer, Illustration, Problem solving
14 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1. Calculates the number of occurrences of events using addition and multiplication methods. a) The historical development process of counting is mentioned and the works of SâbitİbnKurrâ, who played a role in this process, are included. b) The concept of factorial is given and associated with the basic principle of counting. 2. Calculates how many different permutations (permutations) can be made with n kinds of objects. 3. Solves problems by explaining the permutations of a limited number of repetitive objects. a) The number of all different permutations of objects with at least two identical objects is discussed in the context of examples/problems. b) Real life problems are included. 4. Calculates how many different ways r elements of a set of n elements can be chosen. a) The concept of combination is associated with the number of subsets. b) The following basic properties of the concept of combination are examined: - 𝐶(𝑛, 𝑟) = 𝐶(𝑛, 𝑛 - 𝑟) - 𝐶(𝑛, 0) + 𝐶(𝑛, 1) + ⋯ + 𝐶(𝑛, 𝑛) = 2𝑛 5. It is emphasized that Pascal's triangle was discussed by mathematicians and thinkers in Indian, Chinese and Islamic civilizations, including Omar Khayyam, long before Pascal; in this context, the role of different cultures and scientists in the formation of mathematical knowledge is emphasized. 6. Explains the concepts of sample space, experiment, output, complement of an event, definite event, impossible event, discrete event and non-discrete event. a) The concepts of sample space, experiment, output are exemplified and defined for non-discrete cases based on equiprobable cases. b) Discrete event and non-discrete event are emphasized. c) The works of Al-Kindī and Laplace are included. 7. Makes applications related to the concept of probability. a) Calculate the probabilities of equiprobable and non-probable events. b) Calculate the probabilities of complementary, discrete and non-discrete events. c) Real life problems are included. Lecture, Question and Answer, Illustration, Problem solving
15 Studies the new subject that has been covered and will be covered from the DGS and TYT resources with lectures. Examines the questions that they can solve or interpret. 1.Creates its own analytical thinking style with numerical logic exercises in preparation for DGS-KPSS-ALES exams. Lecture, Question and Answer, Illustration, Problem solving
16 - FINAL EXAM -
17 - FINAL EXAM -

SOURCE MATERIALS & RECOMMENDED READING

Türkyılmaz, U.(2017). DGS Subject Explained Solved Question Bank.
Tasarı Academic Publications.(2019).DGS Lecture. Kayhan Matbaacılık.
Akdeniz,H.(2019). Math Question Bank Special for our Teacher. Mf Kazanım Publishing.
Başay,İ.B. and Öztürk,M.(2019). Emergency Mathematics TYT Question Bank. Acil Publications.
Başay,İ.B. and Öztürk,M.(2019). Emergency Mathematics AYT Question Bank. Acil Publications.
Koç,M.(2019). Active Mathematics 0'dan Başlayanlara. Yorum Matbaacılık.
Özcan,S. and Özcan,K.(2018). Mathematics from Zero to Infinity.

ASSESSMENT

Assessment & Grading of In-Term Activities Number of Activities Degree of Contribution (%) Description
Level of Contribution
0 1 2 3 4 5

CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES

KNOWLEDGE

Theoretical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
The interior design department educates young and professional people with a 2-year academic education. Those who read a vocational school and later study at a college have excellent equipment. Those who have been educated for 2 years with practical courses that they have seen can become more dominant in technical field with more. From design to marketing, from quality control to production, every field has the opportunity to work. For 2 years, it provides to be a member equipped with technical drawing, basic art, computer design, project preparation, cutting and cutting. In recent years, with the support given to the production, interior design departments have begun to take first place. A wide variety of fields await you in specific departments of the industry. The important thing is that you will take 2 years to train yourself enough in academic education.

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Those who want to be an interior design technician; Creative and aesthetic views, interested in fine arts, able to use eyes and hands in coordination, able to perceive colors and shapes in detail, have the ability to draw shapes, be innovative and critically open, able to take responsibility.

SKILLS

Cognitive

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Interior design; Is an associate degree program established with the aim of educating people who can make technical drawings using art and technology to organize interior parts of buildings. Interior design technicians; Determine the changes that need to be done in the room, prepare the plans of the works to be done or interpret the prepared plans and apply them. In addition, electricity, water, etc., They also determine the hardware requirements. By choosing the type and amount of building materials suitable for the place, they make the account of the materials to be used. Interior design technicians draw technical drawings and make original interior designs.

SKILLS

Practical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
The field of art and design is a product of history, culture, which is the foundation of social life. Interior design is also in this area. Today, people develop and use unique designs of their own culture and customs by combining the spaces they live with aesthetics, functionality and technology. Changing consumer needs and requirements; Is increasing the production of '' alternative art and design '' products in the production systems of companies that want to take place in the sector operating in the fields of interior design.

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
The students have the opportunity to have a successful career in the sector by educating themselves as good designers, they have the opportunity to continue their academic careers and continuing undergraduate education in interior architecture.

OCCUPATIONAL

Learning to Learn

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To be able to develop the technical knowledge, imagination and creativity of those who will contribute to the sector who can receive interior architecture education in the future in the field of decoration.

OCCUPATIONAL

Communication & Social

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
The aim of this program is; To meet the designer workforce needs in businesses and offices. The lack of designers in our country has left many sectors face to face with the problem of branding. The designer problem is a common problem in many sectors and there is a great shortage of technical personnel. Therefore, students who will graduate will not have employment problems.

OCCUPATIONAL

Occupational and/or Vocational

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
To train students at the level of associate degree equipped with the appropriate professional knowledge and to carry out the researches made by the academic staff of the department and nationwide, it is aimed to educate the designers in the businesses which are lacking in qualifications. Looking at the examples in the world, Interior Design is regarded as an ideal program for students with career plans in the 21st Century.

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT

Workload for Learning & Teaching Activities

Type of the Learning Activites Learning Activities (# of week) Duration (hours, h) Workload (h)
Lecture & In-Class Activities 0 0 0
Preliminary & Further Study 0 0 0
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 0 0 0
Project Work 0 0 0
Seminar 0 0 0
Internship 0 0 0
Technical Visit 0 0 0
Web Based Learning 0 0 0
Implementation/Application/Practice 0 0 0
Practice at a workplace 0 0 0
Occupational Activity 0 0 0
Social Activity 0 0 0
Thesis Work 0 0 0
Field Study 0 0 0
Report Writing 0 0 0
Final Exam 0 0 0
Preparation for the Final Exam 0 0 0
Mid-Term Exam 0 0 0
Preparation for the Mid-Term Exam 0 0 0
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
TOTAL 0 0 0
Total Workload of the Course Unit 0
Workload (h) / 25.5 0
ECTS Credits allocated for the Course Unit 0,0