Mathematics I(G111)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| G111 | Mathematics I | 1 | 4 | 0 | 0 | 4 | 6 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | |
| Course Type | |
| Course Level | Bachelor Degree |
| Course Instructor(s) | Deniz UZTÜRK BARAN uzturkdeniz@gmail.com (Email) |
| Assistant | |
| Objective | |
| Content | |
| Course Learning Outcomes | |
| 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 | 3 | 60 |
| Contribution of final exam to overall grade | 1 | 40 |
| Toplam | 4 | 100 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 1 | 10 |
| Presentation | 1 | 20 |
| Midterm Examinations (including preparation) | 1 | 30 |
| 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 |
| Make-up | 0 | 0 |
| Toplam | 3 | 60 |
| 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 |
| Midterm Examinations (including preparation) | 2 | 10 | 20 |
| Final Examinations (including preparation) | 1 | 32 | 32 |
| Total Workload | 144 | ||
| Total Workload / 25 | 5.76 | ||
| Credits ECTS | 6 | ||