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MATHEMATICS I PROGRAMME COURSE DESCRIPTION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MTH105 MATHEMATICS I 1 5 4 6

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 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

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)

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

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

James Stewart, Calculus
George B. Thomas, Calculus
Prof. Dr. Mustafa Balcı, Çözümlü Genel Matematik Problemleri 1
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
Explains the fundamental engineering concepts of electrical and electronics science and relates them to the groundwork of electrical and electronics science.
3

KNOWLEDGE

Factual

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.
3

SKILLS

Cognitive

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.
3
2
Designs a model related to electrical and electronics with modern techniques.
3

SKILLS

Practical

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.
3
2
Identifies, models and solveselectrical and electronics engineering problems by applying appropriate analytical methods.
4
3
Determines and uses the necessary electrical and electronics engineering technologies in an efficient way for engineering applications.
3

OCCUPATIONAL

Autonomy & Responsibility

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.
3
2
Possess the ability to conduct effective individual study.
2
3
Takes responsibility as a team work and contributes in an effective way.
3

OCCUPATIONAL

Learning to Learn

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.
4
2
Develops positive attitude towards lifelong learning.
3

OCCUPATIONAL

Communication & Social

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.
3
2
Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.
4

OCCUPATIONAL

Occupational and/or Vocational

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Possess professional and ethical responsibility and willingness to share it.
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.
3

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 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