MATHEMATICS PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MTH135	MATHEMATICS	1	4	3	5

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	Assoc.Prof. İLKE CİRİTCİ
Instructor(s) of the Course Unit	Assist.Prof. DENİZ ALTUN-Assist.Prof. MEHMET ARSLAN
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 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.	Lecture Suggestions
6	Topic started on the preparation of problems and solutions	Algebraic and geometric meanings of derivative, rules of derivation, application of derivatives.	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, applications of L'Hospital Rule	Lecture Suggestions
10	Topic started on the preparation of problems and solutions	Definition of integral, formulas, integration methods	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	Partial Integration and applications	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
James Stewart, Calculus
George B. Thomas, Calculus and Analytical Geometry
Prof. Dr. Mustafa Balcı, Çözümlü Genel Matematik Problemleri 1
Prof. Dr. Mustafa Balcı, Genel Matematik 1
Naci İskender, Yüksek Matematik
Ahmet Karadeniz, Yüksek Matematik Problemleri

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	With the architectural education, students will gain the advanced theoretical and practical knowledge, which are supported by educational sources containing current information, and also be able to discuss and evaluate physical composition systems and methods.					4

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They will have the comprehension and knowledge in relation to scientific, IT, aesthetic, art and historical and cultural infrastructure in the field of architecture.		1

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They will be able to apply the theoretical knowledge and applications gained in the programme in their working life.					4

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They will interpret and evaluate the environmental conditions required for architectural design by using their advanced knowledge and skills gained through the programme and they will also develop their ability to present their ideas and thoughts adequately in projects.		1

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They can work independently both in architectural education and its related fields.	0
2	They will take on responsibility individually or as a group member in order to solve unforeseen problems faced in the production field of architecture discipline.					4
3	They will plan and manage activities with regards to professional development of the staff working under their responsibility in the production field of architecture discipline.	0

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They will make lifetime learning a priority in order to follow recent changes and innovations as necessary in architecture.			2
2	They will be able to determine their learning needs during and after their educational life and channel them.				3

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They will inform individuals and institutions in the field of architectural. They will transfer their thoughts regarding architectural projects and problems using written, oral and presentation methods.			2
2	They will share their thoughts and solution suggestions with professionals and non-professionals related to the field of architecture by supporting it with quantitative and qualitative data.					4
3	They will organise activities regarding social environment with social awareness and they will take an effective role.	0
4	They will be able to use information technology effectively in the field of architecture.				3

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They will act appropriately in the context of social, scientific and ethic values in all phases of architectural planning process including collecting and evaluating data, producing and implementing projects.		1
2	They will take part in construction management in the context of authority and responsibility. They will also have adequate awareness of environment protection and health and occupational safety issues.			2

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	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	30	30
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	129