CALCULUS I PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT117	CALCULUS I	1	3	2	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 MUHAMMET CİHAT MUMCU
Instructor(s) of the Course Unit	Assist.Prof. CEYDA CEVAHİR YILDIZ
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	In this course, it is aimed to provide students with basic mathematical knowledge and application skills for solving mathematical problems.
Contents of the Course Unit:	Evaluation of simple algebraic expressions, addition, subtraction, multiplication and division, use of separators, simple algebraic fractions / fractions; Graphical representation; properties and uses of graphs, equation / function graphs; Arithmetic terms and signs, methods of multiplication and division, fractions / fractions and decimals, factors and factors, weights, measures and conversion factors, ratio and proportion, means and percentages, areas and volumes, squares, cubes, square and cube roots.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
It offers analytical solutions to the problems it encounters.
Makes calculations for the solution of technical problems.
Makes geometric area and volume calculations.
Analyzes and evaluates problems by using materials related to mathematics built on competences gained in secondary education.
Evaluating the concepts, theories and data in mathematical science with scientific methods, determines the problems and issues encountered, analyzes, makes discussions, and develops suggestions based on evidence and research.
Have the knowledge of computer software required by the science of mathematics.
Have social, scientific and ethical values in the stages of collecting, interpreting and announcing data related to the science of mathematics.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	-	1. Performs four operations with natural numbers, taking into account the priority of the transaction. 1 2. Performs operations to apply common factor bracketing and distribution feature in natural numbers. 1 3. Solves problems that require four operations with natural numbers.	Lecture, Question and Answer, Sampling, Problem Solving
2	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	Interprets integers and shows them on the number line. 1 2. Determines and makes sense of the absolute value of an integer. 1 3. Compares and ranks integers. 1 4. Does addition and subtraction with integers; solves related problems. 1 5. Understands that subtraction of integers means adding with the reverse sign of the minus sign.	Lecture, Question and Answer, Sampling, Problem Solving
3	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	Divides a natural number into a unit fraction and a unit fraction into a natural number, which makes sense. 1 2 Decimal notation decodes the given numbers. 1 3. Decimal representations convert the given numbers to rational numbers. 1 4. Makes and makes sense of multiplying a natural number and a fraction. 1 5. Solves problems that require processing with fractions. One	Lecture, Question and Answer, Sampling, Problem Solving
4	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	1. express the rule of arithmetic sequences by letter; finds the desired term of the string whose rule is expressed with a letter. 1 2. Writes an algebraic statement suitable for a verbally given situation and a verbal statement suitable for a given algebraic statement. 1 3. Calculates the values of the algebraic expression for different natural number values that the variable will take. 1 4. Explain the meaning of simple algebraic expressions. 1 5. Makes addition and subtraction with algebraic expressions. One	Lecture, Question and Answer, Sampling, Problem Solving
5	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	Uses ratio in comparing multiplicities and shows ratio in different ways. 1 2. Determines the ratio of two multiples in the same or different units to each other. 1 3. Solves the problems about line and inverse proportion. 1 4. Finds the quantity corresponding to a specified percentage of a plurality; finds a given percentage of the given multiplicity. 1 5. Calculates one multiplicity as a percentage of another plurality. One	Lecture, Question and Answer, Sampling, Problem Solving
6	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	Uses ratio in comparing multiplicities and shows ratio in different ways. 1 2. Determines the ratio of two multiples in the same or different units to each other. 1 3. Solves the problems about line and inverse proportion. 1 4. Finds the quantity corresponding to a specified percentage of a plurality; finds a given percentage of the given multiplicity. 1 5. Calculates one multiplicity as a percentage of another plurality. One	Lecture, Question and Answer, Sampling, Problem Solving
7	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	Recognizes the units of measurement of area, converts the units of m2 – km2, m2 – cm2 – mm2 to each other. 1 2. Recognizes the land measurement units and associates with standard area measurement units and solves the problems related to the area. 2 3. Finds the area of the triangle. 1 4. Finds the area of the square. 1 5. Finds the area of various polygons. 2nd	Lecture, Question and Answer, Sampling, Problem Solving
8	-	MID-TERM EXAM	-
9	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	Recognize standard volume measurement units and convert between cubic centimeter, cubic decimeter, cubic meter units. 1 2. Creates the volume relation of the rectangular prism; solves related problems. 1 3. Estimates the volume of the rectangular prism. 1 4. Understands that the number of cubic units placed in a rectangular prism without any gaps is the volume of that object; calculates the volume of a given object by counting unit cubes. 1 5. Finds the volume of the cube	Lecture, Question and Answer, Sampling, Problem Solving
10	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	1. Recognize standard volume measurement units and convert between cubic centimeter, cubic decimeter, cubic meter units. 1 2. Creates the volume relation of the rectangular prism; solves related problems. 1 3. Estimates the volume of the rectangular prism. 4. Recognizes the liquid measurement units as quantity and converts them into each other. 5. Relate volume measurement units and liquid measurement units.	Lecture, Question and Answer, Sampling, Problem Solving
11	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	Recognizes liquid measurement units as quantity and converts them into each other. 1 2. Relates volume measurement units and liquid measurement units. 1 3. Recognizes the aviation dimensions. 1 4. Recognize the units of pressure, speed and healing. 1 5. Solves aviation problems. One	Lecture, Question and Answer, Sampling, Problem Solving
12	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	1. Calculates integer powers of integers, writes them as exponentials. 1 2. Analyzes the decimal representations of numbers by using integer powers of 10. 1 3. Understands the basic rules of exponential expressions, creates expressions equivalent to each other. 1 4. Operates with exponential equations. 1 5. List the exponential expressions. One	Lecture, Question and Answer, Sampling, Problem Solving
13	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	1. Determines the relationship between perfect square natural numbers and their square roots. 1 2. Makes multiplication and division operations in square root expressions. 1 3. Performs four operations with cube rooted expressions. 1 4. Operates with nth degree roots. 1 5. Finds conjugates in rooted expressions. 1 6. Sort in rooted expressions. One	Lecture, Question and Answer, Sampling, Problem Solving
14	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	1. Recognizes the graph and shows its types. 1 2. Draws a picture, figure, line, column, circle graph 2 3. Interprets the graphs, performs operations with their algebraic meanings. 1 4. Applies statistical comments with graphics. 1 5. Makes the graphical interpretation of new data sets. One	Lecture, Question and Answer, Sampling, Problem Solving
15	It studies the new subject that will be processed and processed from DGS and TYT resources with subject narration. Examines questions that he/she can solve or interpret.	1. Recognizes the graph and shows its types. 1 2. Draws a picture, figure, line, column, circle graph 2 3. Interprets the graphs, performs operations with their algebraic meanings. 1 4. Applies statistical comments with graphics. 1 5. Makes the graphical interpretation of new data sets. One	Lecture, Question and Answer, Sampling, Problem Solving
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
Başay, İ.B. and Öztürk, M. (2019). Emergency Math TYT Question Bank. Emergency Publications. ISBN: 978-605-673-927-9. Yeni Mahalle/Ankara
Tasarı Academic Publications. (2019). DGS Lecture. Kayhan Printing. ISBN: 978-605-9697-73-6. Beylikduzu / Istanbul
Akdeniz, H. (2019). Mathematics Question Bank Special for Our Teacher. Mf Kazanim Publishing. ISBN: 978-605-82271-8-7. Yeni Mahalle/Ankara
Koç, M. (2019). Active Mathematics 0 to Beginners. Comment Printing. ISBN: 978-605-197-149-0. Sincan/Ankara
Özcan, S. and Özcan, K. (2018). Mathematics from Zero to Infinity. ISBN: 978-605-83093-0-2. Yenibosna/Istanbul

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	Having and employing fundamental field concepts		1
2	Understanding and interpreting field-related problems			2
3	Generating and implementing solutions to field-related problems			2
4	Following developments in the field and being aware of lifelong learning	0

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Mastery and effective application of information technologies	0
2	Capability to work independently and/or in groups	0
3	Possibility of putting knowledge into practice		1
4	Capability to apply knowledge within the context of social responsibility awareness	0

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	To have knowledge about low voltage network and its components	0
2	To have knowledge about the structure and working principle of analog and digital electrical measuring instruments and to be able to use them.	0
3	To be an individual who knows, internalizes and uses Atatürk's principles and reforms in his life.	0
4	Designing electrical and electronic circuits with drawing and simulation programs	0

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	To recognize the circuit elements used in direct and alternating current and to make circuit solutions.	0
2	To have information about the production of electrical energy, to know the elements used in transmission and distribution networks.	0
3	To be able to perform maintenance, repair and installation of electrical devices and systems.	0
4	To have information about the structure, working principle, winding shapes and circuit connections of electrical machines.	0

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Using Turkish effectively in daily and professional fields.	0
2	Knowledge of the operating system, basic office software, and computer hardware is required.	0
3	To have sufficient mathematical knowledge to analyze in the professional field	0
4	Understanding the fundamental concepts and elements of automatic control systems, as well as the ability to program PLC systems	0

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Understanding the structure and operation of fundamental electronic elements. To be familiar with power electronics components and usage features. To understand the fundamentals of logic circuits and to design digital circuits.	0
2	To understand fundamental physics concepts and basic electrical circuit solutions		1
3	Knowledge of weak current, strong current, lightning, fire, and security systems is required, as is the ability to draw electrical installation plans and understand and perform contracting and exploration work on electrical installations.	0

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Demonstrate the ability to conduct advanced work independently using learning-to-learn skills and critical thinking.	0
2	The ability to generate engineering solutions, particularly with regard to their impact on global and societal health, safety, and environmental issues.	0
3	Capability to plan and manage professional development activities for employees under his/her supervision	0
4	Informing expert and non-expert audiences about issues in their field, as well as being able to clearly communicate their thoughts, problems, and solution methods in written and oral form.	0
5	Developing the ability to act independently, take initiative, be creative, and engage in lifelong learning		1

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Capable of producing science and technology that will aid in national development	0
2	Contributing to scientific and technological advancements	0
3	Ability to think analytically		1
4	Capability to identify and solve problems			2
5	Capable of developing R&D projects that meet the needs of the country	0
6	Have professional ethical values	0
7	Versatile and well-educated, with the ability to communicate effectively both verbally and in writing	0

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	14	2	28
Preliminary & Further Study	14	2	28
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	14	1	14
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	14	1	14
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	1	1	1
Preparation for the Final Exam	1	6	6
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	1	8	8
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	60	0	100