MATHEMATICS I PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT123	MATHEMATICS I	1	3	3	6

GENERAL INFORMATION
Language of Instruction :	Turkish
Level of the Course Unit :	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Type of the Course :	Compulsory
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Assist.Prof. SİNEM GÜRKAN
Instructor(s) of the Course Unit
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	The aim of the course; The aim of this course is to provide the students with the ability to approach mathematical and physical problems in a rational and analytical way and to provide the students with the basic concepts and methods of mathematics.
Contents of the Course Unit:	Course Content; Real Numbers and Real Right, Cartesian Coordinates in the Plane, Graphs of Second Order Equations, Functions and Graphs, Combining Functions to Identify New Functions, Real Numbers and Real Correct, Cartesian Coordinates in Plane, Graphs of Second Order Equations, Functions and Graphs, New Functions Combination of Functions, polinoms and Rational Functions, Exponential and Logarithmic Functions, Natural Logarithm and Exponential , Inverse Trigonometric Functions,Trigonometric Functions, Limits of Functions, Infinite Limits in Continuity, Continuity, Tangent Lines and Slopes, Derivatives, Differential Rules of Rule, Chain Rule, Derivatives of Trigonometric Functions, Bilateral Ratios, Uncertain Forms, Extreme Values, Limits and Properties, Limits Uncertainties, Continuity, Applications of Continuity, Derivative Definition, Derivative Rules, Funding Derivative theorems, Derivative theorems, Geometrical interpretation of derivative, Application of derivative to optimization problems.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
At the end of this course, students explain mathematical functions
At the end of this course, students will be able to interpret the limits and continuity of mathematical functions at given points.
At the end of this course, the students apply the derivative process to the optimization problems in the physical fields, especially for one variable functions
At the end of this course, linear functions and models for professional problems

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	Internet and book research	Sets, Real Numbers, Cartesian Coordinates in Plane, Graphs of Second Order Equations	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
2	Internet and book research	Functions and Graphics, Combining Functions to Identify New Functions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
3	Internet and book research	Polynomials and Rational Functions, integer function, sign function, combination of functions, inverse function	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
4	Internet and book research	Exponential and Logarithmic Functions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
5	Internet and book research	Trigonometric Functions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
6	Internet and book research	Inverse Trigonometric Functions,	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
7	Internet and book research	Limit, limit rules, calculation of limit values of a function, Uncertain cases at limits	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
8	-	MID-TERM EXAM	-
9	Internet and book research	Continuity	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
10	Internet and book research	Definition of derivative, Derivation rules, geometric interpretation of derivative	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
11	Internet and book research	Derivatives of function types	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
12	Internet and book research	Derivatives of function types	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
13	Internet and book research	Derivatives of function types	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
14	Internet and book research	Derivative theorems	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
15	Internet and book research	L Hopital	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
Kalkülüs: Diferansiyel ve İntegral Hesap, James Stewart, Tüba Yayınları, Türkiye Bilimler Akademisi, 2010.
Thomas Kalkülüs (cilt 1), George B. Thomas, Maurica D. Weir Joel R. Hass, 12. Baskı, Pearson, Ankara.
Çözümlü Genel Matematik Problemleri 1, Mustafa Balcı, Palme Yayınevi, 2016.
Kalkülüs Cilt I, Prof.Dr.M. Terziler, Yrd.Doç.Dr.T. Öner, Palme Yayıncılık, 2012
Shepley L. ROSS, Differential Equations, 1976
Doç. Dr. Uğur Er Çözümlü integral tekniği (1984) İstanbul

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	Define the basic concepts of aeronautical standards and rules. (Bloom 1)		1

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Organize teamwork during the collection, interpretation, announcement and application of data related to the field. (Bloom 6)			2

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Perform theoretical and practical knowledge related to his/her field in business life using analytical methods and modeling techniques. (Bloom 4)					4
2	Use maintenance manuals and other sources of information in business life to obtain information about the field			2
3	Determine the actualities of all technical and administrative documents related with the field. (Bloom 1)		1
4	Perform theoretical and practical knowledge related to his/her field in business life using analytical methods and modeling techniques. (Bloom 4)			2

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Use computer software, information and communication technologies at the level required by the field				3
2	Interpret the sketches, scheme, graphics that describe the subject. (Bloom 2)				3

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Develop solutions for problems faced during application. (Bloom 6)				3

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determine the learning requirements related with his/her field. (Bloom 3)				3
2	Use the lifelong learning principles in occupational development. (Bloom 3)				3

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Apply the technical drawing knowledge effectively in business life. (Bloom 3)		1
2	By informing the relevant persons and institutions about the related field; state his / her thoughts and suggestions for solutions in the field.				3
3	Debate his/her ideas and solution suggestions with experts by supporting them with quantitative and qualitative data. (Bloom 2)					4
4	Participate in training related to the field at international level. (Bloom 3)				3
5	Organize activities for the professional development of employees under his/her responsibility. (Bloom 6).			2

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Use the knowledge and skills obtained during undergraduate education in work life. (Bloom 3)				3
2	Solve the problems encountered in his/her field. (Bloom 3)				3
3	Apply the necessary culture of behavior in the areas of quality management and processes and environmental protection and occupational safety (Bloom 3)			2
4	Locate the awareness of safety factor to himself and to the team. (Bloom 1)				3

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	3	42
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)	1	20	20
Project Work	1	5	5
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	1	1	1
Preparation for the Final Exam	1	30	30
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	1	25	25
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	34	0	152