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 FUNDA ATEŞ
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	To be able to recognize the basic functions of electronic circuit components and their behavior in the circuit.	0
2	Recognizing the physical strength limits of electronic circuit components and determining operating conditions accordingly.	0
3	Ability to make applications related to equations, inequalities and functions.				3
4	Making basic circuit solutions.	0
5	Calculating the effects of direct current on circuit elements.	0
6	Calculating the effects of alternating current on circuit elements.	0

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Having knowledge about operating systems and computer hardware.	0
2	To recognize electrical-electronic measuring instruments, their working principles and to make measurements using these instruments.	0
3	To have knowledge about electronic circuit elements, digital and analog systems and the operation of these systems.	0
4	To have knowledge about oscillators and oscillator circuits.	0

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	To be able to produce solutions by using the acquired theoretical and experimental knowledge in a cause and effect relationship to possible problems encountered.	0
2	To be able to produce solutions using basic knowledge about the design and control of control-based functions in electronic circuits and systems.	0
3	To be able to have sufficient knowledge of the English language to conduct research using keywords for electronic systems and components, and to be able to decide on material selection by understanding catalog data.	0
4	Designing algorithms and flow diagrams.	0
5	To detect and analyze an existing system, system component or process and, when necessary, to design basic devices to meet the desired needs.	0

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	To be able to use selected computer-aided electronic design programs at a basic level for simulation and printed circuit creation.	0
2	Identifying the necessary measuring devices and methods in electronic circuits and systems and using them to identify errors and malfunctions with the help of signal tracking and measurement techniques, and to be able to eliminate them when the necessary equipment is provided.	0
3	To measure basic electrical quantities.	0
4	To be able to use transistor as switching and amplifier element.	0
5	Drawing and simulating computer-aided electrical and electronic circuit diagrams.	0
6	Writing programs for microcontroller.	0
7	Writing the program for programmable logic controllers.	0

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	To have knowledge about occupational safety and its applications and to be able to implement them.	0
2	To be able to make decisions in independent work, to take initiative and adapt in teamwork with people within and outside the profession.	0
3	Demonstrate that you can learn independently and apply what you have learned in the field of electronic technology.	0
4	To identify, define and solve problems related to unforeseen situations in studies related to the field of electronic technology and to select and apply simulation and modeling techniques along with appropriate practical methods.	0

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	To be able to access information, research resources for this purpose and use various information sources.	0
2	Knowing a foreign language at a level that allows you to communicate with colleagues and customers and being able to effectively follow the developments in your field	0
3	To have the ability to measure, analyze, interpret experimental data and reach a valid scientific conclusion from the data.	0
4	To demonstrate that one has gained the ability to identify problems related to unforeseen situations and seek solutions in studies related to the field of electronic technology.	0

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	To have knowledge and awareness of social responsibility, ethical values, social security rights, occupational health and safety on issues related to the field.	0
2	To be able to use current computer requirements such as words, operations, spreadsheets, presentations, e-mail and internet browsing at a good level in the professional field.	0
3	To be able to apply the basic knowledge acquired on employee rights, human rights, quality and professional ethics to working life.	0

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	To be able to write a technical report on the professional subject he/she is working on, to present the requested work based on a written explanation, and to conduct needs analysis.	0
2	To have the awareness of observing social, scientific and moral values in matters related to the profession.	0
3	To have knowledge and skills in a field built on the competencies gained in general or vocational education and to demonstrate understanding of the basic concepts in that field.	0
4	To be able to produce services and products in electronics technician work areas, taking into account scientific values and professional ethics.	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