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MATHEMATICS I PROGRAMME COURSE DESCRIPTION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT123 MATHEMATICS I 1 3 3 6

GENERAL INFORMATION

Language of Instruction : Turkish
Level of the Course Unit : , TYY: + , EQF-LLL: , QF-EHEA:
Type of the Course : Compulsory
Mode of Delivery of the Course Unit -
Coordinator of the Course Unit
Instructor(s) of the Course Unit
Course Prerequisite No

OBJECTIVES AND CONTENTS

Objectives of the Course Unit: The aim of the course; The aim of this course is to provide the students with the ability to approach mathematical and physical problems in a rational and analytical way and to provide the students with the basic concepts and methods of mathematics.
Contents of the Course Unit: Course Content; Real Numbers and Real Right, Cartesian Coordinates in the Plane, Graphs of Second Order Equations, Functions and Graphs, Combining Functions to Identify New Functions, Real Numbers and Real Correct, Cartesian Coordinates in Plane, Graphs of Second Order Equations, Functions and Graphs, New Functions Combination of Functions, polinoms and Rational Functions, Exponential and Logarithmic Functions, Natural Logarithm and Exponential , Inverse Trigonometric Functions,Trigonometric Functions, Limits of Functions, Infinite Limits in Continuity, Continuity, Tangent Lines and Slopes, Derivatives, Differential Rules of Rule, Chain Rule, Derivatives of Trigonometric Functions, Bilateral Ratios, Uncertain Forms, Extreme Values, Limits and Properties, Limits Uncertainties, Continuity, Applications of Continuity, Derivative Definition, Derivative Rules, Funding Derivative theorems, Derivative theorems, Geometrical interpretation of derivative, Application of derivative to optimization problems.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)

At the end of this course, students explain mathematical functions
At the end of this course, students will be able to interpret the limits and continuity of mathematical functions at given points.
At the end of this course, the students apply the derivative process to the optimization problems in the physical fields, especially for one variable functions
At the end of this course, linear functions and models for professional problems

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY

Week Preparatory Topics(Subjects) Method
1 Internet and book research Sets, Real Numbers, Cartesian Coordinates in Plane, Graphs of Second Order Equations Expression Question answer Case Study Method Demonstration Method Problem Solving Method
2 Internet and book research Functions and Graphics, Combining Functions to Identify New Functions Expression Question answer Case Study Method Demonstration Method Problem Solving Method
3 Internet and book research Polynomials and Rational Functions, integer function, sign function, combination of functions, inverse function Expression Question answer Case Study Method Demonstration Method Problem Solving Method
4 Internet and book research Exponential and Logarithmic Functions Expression Question answer Case Study Method Demonstration Method Problem Solving Method
5 Internet and book research Trigonometric Functions Expression Question answer Case Study Method Demonstration Method Problem Solving Method
6 Internet and book research Inverse Trigonometric Functions, Expression Question answer Case Study Method Demonstration Method Problem Solving Method
7 Internet and book research Limit, limit rules, calculation of limit values of a function, Uncertain cases at limits Expression Question answer Case Study Method Demonstration Method Problem Solving Method
8 - MID-TERM EXAM -
9 Internet and book research Continuity Expression Question answer Case Study Method Demonstration Method Problem Solving Method
10 Internet and book research Definition of derivative, Derivation rules, geometric interpretation of derivative Expression Question answer Case Study Method Demonstration Method Problem Solving Method
11 Internet and book research Derivatives of function types Expression Question answer Case Study Method Demonstration Method Problem Solving Method
12 Internet and book research Derivatives of function types Expression Question answer Case Study Method Demonstration Method Problem Solving Method
13 Internet and book research Derivatives of function types Expression Question answer Case Study Method Demonstration Method Problem Solving Method
14 Internet and book research Derivative theorems Expression Question answer Case Study Method Demonstration Method Problem Solving Method
15 Internet and book research L Hopital Expression Question answer Case Study Method Demonstration Method Problem Solving Method
16 - FINAL EXAM -
17 - FINAL EXAM -

SOURCE MATERIALS & RECOMMENDED READING

Kalkülüs: Diferansiyel ve İntegral Hesap, James Stewart, Tüba Yayınları, Türkiye Bilimler Akademisi, 2010.
Thomas Kalkülüs (cilt 1), George B. Thomas, Maurica D. Weir Joel R. Hass, 12. Baskı, Pearson, Ankara.
Çözümlü Genel Matematik Problemleri 1, Mustafa Balcı, Palme Yayınevi, 2016.
Kalkülüs Cilt I, Prof.Dr.M. Terziler, Yrd.Doç.Dr.T. Öner, Palme Yayıncılık, 2012
Shepley L. ROSS, Differential Equations, 1976
Doç. Dr. Uğur Er Çözümlü integral tekniği (1984) İstanbul

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
Define the basic concepts of aeronautical standards and rules. (Bloom 1)
1

KNOWLEDGE

Factual

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Organize teamwork during the collection, interpretation, announcement and application of data related to the field. (Bloom 6)
2

SKILLS

Cognitive

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Perform theoretical and practical knowledge related to his/her field in business life using analytical methods and modeling techniques. (Bloom 4)
4
2
Choose updated documents, modern techniques and tools required for maintenance applications. (Bloom 2)
2
3
Use maintenance manuals and other sources of information in business life to obtain information about the field
1
4
Determine the actualities of all technical and administrative documents related with the field. (Bloom 1)
2

SKILLS

Practical

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Use computer software, information and communication technologies at the level required by the field
3
2
Interpret the sketches, scheme, graphics that describe the subject. (Bloom 2)
3

OCCUPATIONAL

Autonomy & Responsibility

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Develop solutions for problems faced during application. (Bloom 6)
3

OCCUPATIONAL

Learning to Learn

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Determine the learning requirements related with his/her field. (Bloom 3)
3
2
Use the lifelong learning principles in occupational development. (Bloom 3)
3

OCCUPATIONAL

Communication & Social

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Apply the technical drawing knowledge effectively in business life. (Bloom 3)
1
2
By informing the relevant persons and institutions about the related field; state his / her thoughts and suggestions for solutions in the field.
3
3
Debate his/her ideas and solution suggestions with experts by supporting them with quantitative and qualitative data. (Bloom 2)
4
4
Participate in training related to the field at international level. (Bloom 3)
3
5
Organize activities for the professional development of employees under his/her responsibility. (Bloom 6).
2

OCCUPATIONAL

Occupational and/or Vocational

Programme Learning Outcomes Level of Contribution
0 1 2 3 4 5
1
Use the knowledge and skills obtained during undergraduate education in work life. (Bloom 3)
3
2
Solve the problems encountered in his/her field. (Bloom 3)
3
3
Apply the necessary culture of behavior in the areas of quality management and processes and environmental protection and occupational safety (Bloom 3)
2
4
Locate the awareness of safety factor to himself and to the team. (Bloom 1
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 3 42
Preliminary & Further Study 14 2 28
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 1 20 20
Project Work 1 5 5
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 1 1
Preparation for the Final Exam 1 30 30
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 34 0 152
Total Workload of the Course Unit 152
Workload (h) / 25.5 6
ECTS Credits allocated for the Course Unit 6,0