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 KÜBRA SAĞLAM
Instructor(s) of the Course Unit	Lecturer MURAT TAŞ
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

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The student use this information for understanding the production methods of food production.
2	Food products, compounds and additives as some knowledge of the production, use of this information
3	Food production and quality control laboratory to assess the results with information obtained.
4	Food production and laboratory conditions as a requirement of the regulations and providing mevzutların points which can detect risk.
5	Food product processing by following the advances of age can participate in R & D activities

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Food business, and laboratory workflow level of computer use in the computer system to follow.
2	Able to follow the literature in food technology and a level of language skills to communicate with their colleagues may have.
3	Microbial and chemical analysis of the food sector, which is important for human health risk not come into being following the detection of a food can.
4	Food production, storage, production and sales personnel from the fields of hygiene and sanitation conditions in terms of job security can not work.
5	He/she can observe and interpret theoretical knowledge about the microbiological and chemical analysis with practical researches
6	Food in general has adopted the moral and ethical values ​​of professional
7	Learning and can apply what they learn in the field of food regardless of the display.
8	Food production and management in identifying and seeking solutions to problems related to inappropriate situations, gaining the ability to show.

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Doing research on food technology and security solutions to identify and develop the data he obtained.
2	Food production and food security of information resources related to the use area.

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Food Technology in the field of technical education by taking additional uses current techniques and tools.
2	Food Technology Laboratories, collects data, performing experiments and evaluate the extent of the responsibilities.
3	In order to follow developments in the field of food effectively takes advantage of information technologies.

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	He/she determines the risks in a food business and takes precautions
2	He/she uses the basic laboratory devices used in the laboratory
3	He/she follows the production and keeps records
4	He/she plans for food hygiene training and measures of the effectiveness
5	Food production and safety line on the team works and works effectively
6	Using the basic knowledge of food is related to the field with a given task are executed independently.

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	He/she knows the need for lifelong learning and makes its requirements
2	He/she follows trainings related to the subject
3	Participates in training programs for professional development in the field of food

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	He/she knows of a foreign language for follow the innovations in food technology and to communicate eachother
2	He/she follow food fairs, and professional developments in the field
3	He/she uses information technologies effectively and prepare presentations
4	He/she prepare food area, or other matters of social responsibility projects, participate in preparing the application.
5	He/she use visually, the effective use of written and oral communication.

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	He/she works several food areas of food legislation specified
2	He/she follows and implements the legislation related the food industry
3	He/she follows decumentation by critical control points and quaity assurance and takes precautions
4	He/she prepare food hyhiene education and operation it.

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