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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 Prof. OSMAN KOPMAZ
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

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
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.
1
2
Ability to communicate effectively verbally and in writing.
2

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.
1
2
Awareness of the necessity of lifelong learning and the ability to do so.
1
3
The ability to have knowledge about current/contemporary issues.
2
4
Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.
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 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
Total Workload of the Course Unit 153
Workload (h) / 25.5 6
ECTS Credits allocated for the Course Unit 6,0