MATHEMATICS I PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MTH105	MATHEMATICS I	1	5	4	6

GENERAL INFORMATION
Language of Instruction :	English
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	Prof. OSMAN KOPMAZ
Instructor(s) of the Course Unit	Assist.Prof. MEHMET ARSLAN-Assist.Prof. SAJEDEH NOROZPOUR SIGAROODI-Assist.Prof. ŞEYMA ÇETİN-Assist.Prof. TARIK ARABACI
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	To teach the students real functions, trigonometric and exponential functions, limit and derivative concepts and analysis, indefinite and definite integrals and solutions
Contents of the Course Unit:	Real Functions, Trigonometric and Exponential Functions, Limit and Derivative Concepts and Analysis, Indefinite and Definite Integrals and Solutions.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
The students who take the course will be able to; I. Know trigonometric, exponential and logarithmic functions. II. Know and develop limit and derivative concepts. III. Able to perform applications about limit and derivative. Can achieve solutions for indefinite and definite integrals.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	Literatür Araştırması	Basic Concepts on mathematics (Sets, Real Numbers, Intervals, Absolute Value)	Anlatım
2	Literatür Araştırması	Functions (Polynomial Functions, Rational Function, Absolute Value Function, Sign Function, Combination of Functions, Concept of Inverse Function, Exponential and Logarithmic Functions, Trigonometric and Inverse Trigonometric Functions	Anlatım
3	Literatür Araştırması	Limits (Limit (Limit of a Function and Limit Rules, Sandwich Theorem, Exact Definition of Limit, One Sided Limits, Infinite Limits)	Anlatım
4	Literatür Araştırması	Continuity (Continuity at a point, Continuous Functions, Intermediate Value Theorem, Types of Discontinuities), Limits at Infinity	Anlatım
5	Literatür Araştırması	Algebraic and geometric meanings of derivative, differentiation rules, Chain Rule	Anlatım
6	Literatür Araştırması	Derivatives of trigonometric functions, Derivatives of exponential functions, Derivatives of logarithmic functions, Derivative of Implicit Functions	Anlatım
7	Literatür Araştırması	Higher Order Derivatives, Applications of Derivative, Important Theorems (Rolle's Theorem, Mean Value Theorem, First Derivative Test for Local Extremes, Concavity, Second Derivative Test for Concavity, Inflection Points, Second Derivative Test for Local Extremes)	Anlatım
8	-	MID-TERM EXAM	-
9	Literatür Araştırması	Curve Sketching, L'Hospital Rule	Anlatım
10	Literatür Araştırması	Integral Definition, formulas, integration methods	Anlatım
11	Literatür Araştırması	Substitution method and Integration by Parts	Anlatım
12	Literatür Araştırması	Integration of Rational Functions by Partial Fractions	Anlatım
13	Literatür Araştırması	Riemann sums, Sigma (Sum symbol) properties, Fundamental theorem of Calculus	Anlatım
14	Literatür Araştırması	Review by Problem Session	Anlatım
15	Literatür Araştırması	FINAL EXAM	Anlatım
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
James Stewart, Calculus
George B. Thomas, Calculus
Prof. Dr. Mustafa Balcı, Çözümlü Genel Matematik Problemleri 1
Naci İskender, Yüksek Matematik

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	Ability to apply mathematics, science and engineering knowledge.						5

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to apply mathematics, science and engineering knowledge.						5

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to design experiments, conduct experiments, collect data, analyze and interpret results.			2

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	A system, product or process has economic, environmental, social, political, ethical, health and safety, under realistic constraints and conditions such as feasibility and sustainability, Ability to design to meet requirements.			2

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to work in teams with different disciplines			2

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to identify, formulate and solve engineering problems					4

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Awareness of having professional and ethical responsibilities.	0
2	Ability to communicate effectively verbally and in writing.		1

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The ability to have a comprehensive education to understand the impact of engineering solutions on global and social dimensions.	0
2	Awareness of the necessity of lifelong learning and the ability to do so.	0
3	The ability to have knowledge about current/contemporary issues.		1
4	Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.		1

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	5	70
Preliminary & Further Study	14	1	14
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	1	2	2
Preparation for the Final Exam	1	35	35
Mid-Term Exam	1	2	2
Preparation for the Mid-Term Exam	1	25	25
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	32	0	148