Code | Name of the Course Unit | Semester | In-Class Hours (T+P) | Credit | ECTS Credit |
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MAT105 | MATHEMATICS I | 1 | 5 | 4 | 6 |
GENERAL INFORMATION |
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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 |
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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) |
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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 |
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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 |
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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 |
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Assessment & Grading of In-Term Activities | Number of Activities | Degree of Contribution (%) | Description |
Level of Contribution | |||||
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0 | 1 | 2 | 3 | 4 | 5 |
KNOWLEDGE |
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Theoretical |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Ability to apply mathematics, science and engineering knowledge.
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5 |
KNOWLEDGE |
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Factual |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Ability to apply mathematics, science and engineering knowledge.
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5 |
SKILLS |
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Cognitive |
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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.
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2 |
SKILLS |
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Practical |
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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.
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2 |
OCCUPATIONAL |
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Autonomy & Responsibility |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Ability to work in teams with different disciplines
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2 |
OCCUPATIONAL |
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Learning to Learn |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Ability to identify, formulate and solve engineering problems
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4 |
OCCUPATIONAL |
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Communication & Social |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Awareness of having professional and ethical responsibilities.
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1 | |||||
2 |
Ability to communicate effectively verbally and in writing.
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2 |
OCCUPATIONAL |
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Occupational and/or Vocational |
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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.
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1 | |||||
2 |
Awareness of the necessity of lifelong learning and the ability to do so.
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1 | |||||
3 |
The ability to have knowledge about current/contemporary issues.
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2 | |||||
4 |
Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.
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2 |
WORKLOAD & ECTS CREDITS OF THE COURSE UNIT |
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Workload for Learning & Teaching Activities |
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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 |