Code | Name of the Course Unit | Semester | In-Class Hours (T+P) | Credit | ECTS Credit |
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MTH105 | MATHEMATICS I | 1 | 5 | 4 | 6 |
GENERAL INFORMATION |
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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 | Assist.Prof. PERİ GÜNEŞ |
Instructor(s) of the Course Unit | Assist.Prof. MEHMET ARSLAN-Assist.Prof. SAJEDEH NOROZPOUR SIGAROODI-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 the students 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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The students who take the course will be able to; I. Know trigonometric, exponential and logarithmic functions. II. Know and develop limit and derivative concepts. III. Able to perform applications about limit and derivative. Can achieve solutions for indefinite and definite integrals. |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
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Week | Preparatory | Topics(Subjects) | Method |
1 | Literatür Araştırması | Basic Concepts on mathematics (Sets, Real Numbers, Intervals, Absolute Value) | Anlatım |
2 | Literatür Araştırması | Functions (Polynomial Functions, Rational Function, Absolute Value Function, Sign Function, Combination of Functions, Concept of Inverse Function, Exponential and Logarithmic Functions, Trigonometric and Inverse Trigonometric Functions | Anlatım |
3 | Literatür Araştırması | Limits (Limit (Limit of a Function and Limit Rules, Sandwich Theorem, Exact Definition of Limit, One Sided Limits, Infinite Limits) | Anlatım |
4 | Literatür Araştırması | Continuity (Continuity at a point, Continuous Functions, Intermediate Value Theorem, Types of Discontinuities), Limits at Infinity | Anlatım |
5 | Literatür Araştırması | Algebraic and geometric meanings of derivative, differentiation rules, Chain Rule | Anlatım |
6 | Literatür Araştırması | Derivatives of trigonometric functions, Derivatives of exponential functions, Derivatives of logarithmic functions, Derivative of Implicit Functions | Anlatım |
7 | Literatür Araştırması | Higher Order Derivatives, Applications of Derivative, Important Theorems (Rolle's Theorem, Mean Value Theorem, First Derivative Test for Local Extremes, Concavity, Second Derivative Test for Concavity, Inflection Points, Second Derivative Test for Local Extremes) | Anlatım |
8 | - | MID-TERM EXAM | - |
9 | Literatür Araştırması | Curve Sketching, L'Hospital Rule | Anlatım |
10 | Literatür Araştırması | Integral Definition, formulas, integration methods | Anlatım |
11 | Literatür Araştırması | Substitution method and Integration by Parts | Anlatım |
12 | Literatür Araştırması | Integration of Rational Functions by Partial Fractions | Anlatım |
13 | Literatür Araştırması | Riemann sums, Sigma (Sum symbol) properties, Fundamental theorem of Calculus | Anlatım |
14 | Literatür Araştırması | Review by Problem Session | Anlatım |
15 | Literatür Araştırması | FINAL EXAM | Anlatım |
16 | - | FINAL EXAM | - |
17 | - | FINAL EXAM | - |
SOURCE MATERIALS & RECOMMENDED READING |
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James Stewart, Calculus |
George B. Thomas, Calculus |
Prof. Dr. Mustafa Balcı, Çözümlü Genel Matematik Problemleri 1 |
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 |
Explains the fundamental engineering concepts of electrical and electronics science and relates them to the groundwork of electrical and electronics science.
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3 |
KNOWLEDGE |
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Factual |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Uses theoretical and practical knowledge coming from electrical and electronics sciences, to find solutions to engineering problems.
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3 |
SKILLS |
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Cognitive |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Determines the components and the underlying process of a system and designs an appropriate model related to electrical and electronics under reasonable constraints.
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3 | |||||
2 |
Designs a model related to electrical and electronics with modern techniques.
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3 |
SKILLS |
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Practical |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Determines, detects and analyzes the areas of electrical and electronics engineering science applications and develops appropriate solutions.
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3 | |||||
2 |
Identifies, models and solveselectrical and electronics engineering problems by applying appropriate analytical methods.
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4 | |||||
3 |
Determines and uses the necessary electrical and electronics engineering technologies in an efficient way for engineering applications.
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3 |
OCCUPATIONAL |
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Autonomy & Responsibility |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.
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3 | |||||
2 |
Possess the ability to conduct effective individual study.
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2 | |||||
3 |
Takes responsibility as a team work and contributes in an effective way.
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3 |
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 |
Monitors the developments in the field of electrical and electronics engineering technologies by means of books, internet and related journals and possess the required knowledge for the management, control, development and security of information technologies.
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4 | |||||
2 |
Develops positive attitude towards lifelong learning.
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3 |
OCCUPATIONAL |
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Communication & Social |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Communicates effectively by oral and/or written form and uses at least one foreign language.
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3 | |||||
2 |
Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.
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4 |
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 |
Possess professional and ethical responsibility and willingness to share it.
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3 | |||||
2 |
Possess sufficient consciousness about the universality of electrical and electronics engineering solutions and applications and be well aware of the importance of innovation.
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3 |
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 | 5 | 70 |
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 | 35 | 35 |
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 | 148 |
Total Workload of the Course Unit | 148 | ||
Workload (h) / 25.5 | 5,8 | ||
ECTS Credits allocated for the Course Unit | 6,0 |