## Mathematics I(G111)

Course Code Course Name Semester Theory Practice Lab Credit ECTS
G111 Mathematics I 1 4 0 0 4 6
 Language of Instruction Turkish Course Type Compulsory Course Level Bachelor Degree Course Instructor(s) AHMET FAHRİ NEGÜS afneg5932@gmail.com (Email) Assistant Objective The course objective is to give to the studient the fundamental on differential and integral calculus, graphical representation of one real variable real functions and their optimization. The course also aims to give to the studient mathematical knowledge necessary for following up other courses as microeconomy or similars. Content Week 1 : 1) Sets, binary relations and functions (Reminder). 2) Real functions of one real variable – Operations, properties, graphs.Week 2 : 1) Limit of a function, operations with limits. 2) Limits of indeterminate forms.Week 3 : 1) Meaning of the derivative of a function. 2) Derivative rules for algebric functions. Week 4 : 1) Derivative rules for complex functions 2) Derivative of trigonometric and inverse trigonometric functions.Week 5 : 1) Derivative of exponential and logarithmic functions. 2) Derivative of parametric and implicite functions.Week 6 : 1) Applications of derivative and related theorems. 2) L’Hospital rule.Week 7 : 1) Mid-term 1. 2) n.th derivative of a function, n.th derivative of a product – Leibnitz rule.Week 8 : 1) Taylor and Mc-Laurin series. 2) Applications of series.Week 9 : 1) Graphs of a real function of one real variable. 2) Graphs of a real function of one real variable.Week 10 : 1) Indefinite and definite intagral of a function. 2) Techniques for finding the indefinite integral of a function – Integration by substitution. Week 11 : 1) Techniques for finding the indefinite integral of a function – Integration by parts. 2) Techniques for finding the indefinite integral of a function – Integration by partial fractions.Week 12 : 1) Mid-term 2. 2) Indefinite integrals of trigonometric functions.Week 13 : 1) Techniques for finding the indefinite integral of a function – Integration by trigonometric substitution. 2) Techniques for finding the indefinite integral of a function – Integration by trigonometric substitution.Week 14 : 1) Definite integral – Riemann integral. 2) Calculation of area under the graph of a function. Course Learning Outcomes At the end of the course, the studient will be able to,1) Calculate the limits and derivatives of one real variable real functions.2) Study the change of real variable real functions, represent them graphically, determine the derivative, the equation of the tangent to the curve of a function and discuss their meaning.3) Model and solve elementary optimization problems.4) Calculate indefinite and definite integrals of one real variable real functions.5) Take correctly necessary decisions facing management problems, using his knowledge and mathematical logic. Teaching and Learning Methods References
###### Theory Topics
Week Weekly Contents
1 Real functions of one real variable – Operations, properties, graphs.
2 Limit of a function, operations with limits. Limits of indeterminate forms.
3 Meaning of the derivative of a function. Derivative rules for algebric functions.
4 Derivative rules for complex functions. Derivative of trigonometric and inverse trigonometric functions.
5 Derivative of exponential and logarithmic functions. Derivative of parametric and implicite functions.
6 Applications of derivative and related theorems. L’Hospital rule.
7 Mid-term 1. n.th derivative of a function, n.th derivative of a product – Leibnitz rule.
8 Taylor and Mc-Laurin series and applications.
9 Graphs of a real function of one real variable.
10 Indefinite and definite intagral of a function. Techniques for finding the indefinite integral of a function – Integration by substitution.
11 Techniques for finding the indefinite integral of a function – Integration by parts, integration by partial fractions.
12 Mid-term 2. Indefinite integrals of trigonometric functions.
13 Techniques for finding the indefinite integral of a function – Integration by trigonometric substitution.
14 Definite integral – Riemann integral. Calculation of area under the graph of a function.
###### Practice Topics
Week Weekly Contents
###### Contribution to Overall Grade
Number Contribution
Contribution of in-term studies to overall grade 2 50
Contribution of final exam to overall grade 1 50
Toplam 3 100
###### In-Term Studies
Number Contribution
Assignments 0 0
Presentation 0 0
Midterm Examinations (including preparation) 2 50
Project 0 0
Laboratory 0 0
Other Applications 0 0
Quiz 0 0
Term Paper/ Project 0 0
Portfolio Study 0 0
Reports 0 0
Learning Diary 0 0
Thesis/ Project 0 0
Seminar 0 0
Other 0 0
Toplam 2 50
No Program Learning Outcomes Contribution
1 2 3 4 5
1 The acquisition of high-level knowledge of the functions of production management and marketing, management, accounting and finance; the skill of using this knowledge. X
2 The acquisition of basic conceptual knowledge about scientific fields related to professional life, such as law, economics, sociology, psychology, social psychology and quantitative methods. X
3 The ability to work effectively in a team; the ability to pass on knowledge to other members of the team.
4 The competence to use his/her knowledge on the field, to analyze and interpret the data obtained, to identify the problems encountered, to provide appropriate solutions and scientifically defend these solution suggestions when necessary. X
5 The competence to determine the aims and objectives of the company or institution in which he/she is employed by taking into account the needs, the competitive dynamics of the market and by calculating the risks incurred; the ability to engage in entrepreneurship and establish and manage a business.
6 Awareness of constantly updating his/her professional knowledge and skills; the ability to adapt to change and innovation; the competence to evaluate critically the information he/she has acquired. X
7 Basic knowledge of information and communication technologies required for professional life; the ability to use core office programs at an advanced level; expertise in data processing and report writing in the IT environment.
8 Ability to follow current information in his/her field in both English and French and to communicate in writing and verbally with stakeholders in both languages.
9 The ability to conduct researches and studies taking into account the market, dynamics of competition, organizational and global factors and scientific methods; contribute to projects, take responsibility in projects, display competence to make innovative and effective decisions. X
10 Ability to develop strategies, find creative solutions to management problems by building relations with other areas of the social sciences and take the responsibility of these decisions.
11 Consciousness of taking into account ethical values, when making decisions and being involved in business life.
12 Awareness of the impact of practices related to his/her field on the global and social dimensions (universality of social rights, social justice, cultural values, environmental problems, sustainability, etc.) and their legal consequences.
Activities Number Period Total Workload
Class Hours 28 2 56
Working Hours out of Class 12 3 36
Assignments 0 0 0
Presentation 0 0 0
Midterm Examinations (including preparation) 2 10 20
Project 0 0 0
Laboratory 0 0 0
Other Applications 0 0 0
Final Examinations (including preparation) 1 32 32
Quiz 0 0 0
Term Paper/ Project 0 0 0
Portfolio Study 0 0 0
Reports 0 0 0
Learning Diary 0 0 0
Thesis/ Project 0 0 0
Seminar 0 0 0
Other 0 0 0