Mathematics II
aouzeri@gsu.edu.tr
Content
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 the course of statistics in the second year.
Course Content
1) Limit of a function, operations with limits. Computation of limits of indeterminate forms.
2) Meaning of the derivative of a function. Derivative rules for algebric functions.
3) Derivative rules for complex functions
4) Derivative of trigonometric and inverse trigonometric functions. Derivative of exponential and logarithmic functions.
5) Derivative of parametric and implicite functions
6) Applications of derivative and L’Hospital rule.
7) Graphs of a real function of one real variable.
8) Indefinite and definite intagral of a function. Techniques for finding the indefinite integral of a function.
9) Definite integral – Riemann integral.
Course Learning Outcomes
At the end of the course, the studient will,
1) Calculate the limits and derivatives of one real variable real functions.
2) Study the change of real variable real functions and represent them graphically.
3) Determine the equation and discuss the meaning of the tangent to the curve of a function.
4) Solve elementary optimization problems.
5) Calculate indefinite and definite integrals of one real variable real functions.
Teaching and Learning Methods
The course consist of passing on student the theoritical concepts with exemples, as well as solving problems in the class related to subjects considered.
In addition, a follow up of students with the support of exemples supplied and homeworks to prepare.
Weekly Contents
| Week | Weekly Contents |
|---|---|
| 1 | Limit of a function, operations with limits. Computation of limits of indeterminate forms. |
| 2 | Computation of limits of indeterminate forms. |
| 3 | Meaning of the derivative of a function. Derivative rules for algebric functions. |
| 4 | Derivative rules for complex functions. |
| 5 | Derivative of trigonometric and inverse trigonometric functions. Derivative of exponential and logarithmic functions. |
| 6 | Derivative of parametric and implicite functions. |
| 7 | Applications of derivative and L’Hospital rule. |
| 8 | Graphs of a real function of one real variable. |
| 9 | Mid-term Exam. |
| 10 | Graphs of a real function of one real variable. |
| 11 | Graphs of a real function of one real variable. |
| 12 | Indefinite and definite intagral of a function. Techniques for finding the indefinite integral of a function. |
| 13 | Techniques for finding the indefinite integral of a function. |
| 14 | Definite integral – Riemann integral. |
Assessment System
| Activities | Number | Contribution |
|---|---|---|
| Contribution of in-term studies to overall grade | 2 | 40 |
| Contribution of final exam to overall grade | 1 | 60 |
| Total | 3 | 100 |
| Activities | Number | Contribution |
|---|---|---|
| Assignments | 1 | 15 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 1 | 25 |
| 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 |
| Total | 2 | 40 |
Relation of Proficiency
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | The student will be able to recognize and assess the essential theoretical perspectives both in sociology and its related domains. | |||||
| 2 | The student will be able to make use of the major theoretical analyses and sociological concepts in his/her own research topics. | |||||
| 3 | The student will be able to articulate sociological perspective and reasoning with social and historical facts, and to interpret social and historical issues with a sociological eye. | |||||
| 4 | The student will be able to assess the current state of research and knowledge on the classical and contemporary domains of sociological inquiry as well as its relevant fields. | |||||
| 5 | The student will be able to design and conduct a sociological research with appropriate theoretical construction and empirical methods. | |||||
| 6 | The student will be able to produce a written research report that relates research questions to empirical findings. | |||||
| 7 | The student will be able to appropriately use both quantitative and qualitative methodologies. | |||||
| 8 | The student will be able to make appropriate use of statistical software programs for data processing and analysis. | |||||
| 9 | The student will be able to make appropriate use of statistical software programs for data processing and analysis. | |||||
| 10 | Graduates will be able to follow the scientific production both in English and French as well as Turkish. | |||||
| 11 | Graduates will be able to develop a comparative and interdisciplinary approach which will integrate sociology within a broader social science perspective. | |||||
| 12 | Graduates will be able to interpret the history and modernization of Turkey through its sociological consequences. | |||||
| 13 | The student will be able to intervene to social and political processes in order to propose possible solutions to the problems caused by social inequalities and discriminations. | |||||
| 14 | The student will be able to develop a reflexive point of view on his/her position as a a sociologist as well as a researcher. | |||||