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MATEMATİK PROGRAMME COURSE DESCRIPTION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT135 MATEMATİK 1 4 3 5

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 Assoc.Prof. İLKE CİRİTCİ
Instructor(s) of the Course Unit Assist.Prof. SERKAN ÇAKMAK-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 and related problems and solutions Lecture Suggestions
3 Topic started on the preparation of problems and solutions Identities, algebraic equations, and related analyses 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 derivatives, 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

CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES

KNOWLEDGE

Theoretical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
The students is able to implement the knowledge gained during the course to their working areas.
4

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
They are able to assess and interpreter the environmental data for designing building by using advance skills and knowledge gained during the architectural education.
1

SKILLS

Cognitive

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
The students are able to have detail information regarding real life, experience and systems by focusing on the discipline of architecture.
4

SKILLS

Practical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
They have the knowledge and concepts on the history of art, aesthetic, the skill of CAD use and cultural infrastructure.
1

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
They are able to have planning and management skills under a group responsibility.
0
2
The students are able to gain the life-time learning skill that is the crucial part of the discipline of architecture
4
3
They are able to know how to deal with their learning needs in the educational life and after.
0

OCCUPATIONAL

Learning to Learn

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
They consider the ethical issues strictly in case of collecting data, interpretation of the data, producing the projects and the phase of implementation in the field of architecture.
1
2
They have sufficient awareness regarding environmental protection and occupational health and safety issues and also they consider risk management and responsibility issues.
2

OCCUPATIONAL

Communication & Social

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
They are able to transfer or share their comments and/or critiques regarding the architectural projects and problems with certain methods such as written, oral or other presentation techniques. They are also able to inform individuals or institutions in the field of architecture.
1
2
They are able to share their thoughts and suggestions by supporting them with numerical and qualitative manner in the architectural field with the specialists or not.
4
3
They are able to produce social responsibility projects and activities regarding social environment and they are also able to take active roles.
0
4
They are able to use of communication and information technologies effectively and efficiently in the field of architecture.
2

OCCUPATIONAL

Occupational and/or Vocational

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
They are able to work independently in the field of architecture and its production areas.
0
2
They are able to take responsibilities in the field of architectural productions in order to solve unpredictable problems and issues.
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 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
Total Workload of the Course Unit 129
Workload (h) / 25.5 5,1
ECTS Credits allocated for the Course Unit 5,0