MATHEMATICS I PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT105	MATHEMATICS I	1	5	4	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. BİNNUR GÜRÜL
Instructor(s) of the Course Unit	Assist.Prof. BAHADIR KOPÇASIZ-Assist.Prof. FERHAT KÜRÜZ-Assist.Prof. ŞEYMA ÇETİN-Assist.Prof. TARIK ARABACI
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	To teach 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)
Explains trigonometric, exponential and logarithmic functions.(Knowledge, Blooms' 1)
Defines limit and derivative concepts. (Knowledge, Blooms' 1)
Apply the rules about limit and derivative.(Apply, Blooms' 3)
Solves exercices of indefinite and definite integrals.(Apply, Blooms' 3)
Uses derivation for solving technical problems, sketch graphs of functions with the help of derivatives.(Apply, Bloom 3)
Explain the indefinite integral and obtain its formulas. (Application, Bloom 1

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	Students create a positive impression in the preparatory work related to course topics	Introduction to course	Lecture Suggestions
2	Topic started on the preparation of problems and solutions	Real numbers, complex numbers and related problem and solutions	Lecture Suggestions
3	Topic started on the preparation of problems and solutions	Identities, algebraic equations and related analyzes	Lecture Suggestions
4	Topic started on the preparation of problems and solutions	Limit, limit rules, calculation of limit values of a function	Lecture Suggestions
5	Topic started on the preparation of problems and solutions	Uncertain cases at limits, applications of L'Hospital Rule.	Lecture Suggestions
6	Topic started on the preparation of problems and solutions	Algebraic and geometric meanings of derivative, rules of derivation, application of derivatives in engineering	Lecture Suggestions
7	Topic started on the preparation of problems and solutions	Derivatives of trigonometric functions and applications	Lecture Suggestions
8	-	MID-TERM EXAM	-
9	Topic started on the preparation of problems and solutions	Derivatives of exponential functions and applications	Lecture Suggestions
10	Topic started on the preparation of problems and solutions	Derivatives of transcendental functions, problem solutions of these subject	Lecture Suggestions
11	Topic started on the preparation of problems and solutions	Definition of integral, formulas, integration methods	Lecture Suggestions
12	Topic started on the preparation of problems and solutions	Integral applications by simple fractions method	Lecture Suggestions
13	Topic started on the preparation of problems and solutions	Integral applications by change of variables method	Lecture Suggestions
14	Topic started on the preparation of problems and solutions	Integral of transcendental functions and related analyzes	Lecture Suggestions
15	Topic started on the preparation of problems and solutions	Definition of the definite integral, formulas and methods	Lecture Suggestions
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
P.F.Smith, W.R. Congley, Diferansiyel ve İntegral Hesap.
Prof.Dr.Ahmet Karadeniz, Yüksek Matematik Problemleri.
Murtaza Çalı, Diferansiyel ve İntegral Hesap.
George B. Thomas, Calculus and Analytic Geometry.
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	Gain sufficient knowledge in Mathematics, Science and Industrial Engineering.						5

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Analyzes and evaluates existing application areas in the field of Industrial Engineering and develops applications for their solutions.					4

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Analyzes a system, the components of that system, the process of that system, and designs the system by examining it in line with realistic constraints and goals.				3
2	Gains the ability to model and solve engineering problems.						5

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Identifies the problems that may be encountered in the field of industrial engineering and acquires the ability to choose and apply the appropriate method to be used in problem solving.				3
2	Selects and uses technical tools necessary for industrial engineering applications; uses information technologies effectively.				3
3	Designs experiments, conducts experiments, collects data, analyzes and interprets the results to examine problems in the field of industrial engineering.			2

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Gains the ability to work effectively within a team.		1
2	Works effectively individually and takes responsibility.			2

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Accesses the necessary information for a determined problem and searches for resources for this purpose.				3
2	Has the ability to follow all developments in the field of industrial engineering and constantly renew itself.				3

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Gains oral and written communication skills and speaks at least one foreign language.	0

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Has awareness of professional and ethical responsibility.			2
2	Has knowledge about the universal and social effects of industrial engineering applications and reaches solutions by being aware of the importance of an innovative approach in solving engineering problems.					4

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	4	56
Preliminary & Further Study	14	1	14
Land Surveying	0	0	0
Group Work	4	2	8
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	3	3	9
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	2	2	4
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	35	35
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	41	0	153