| Course Name |
Calculus I
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 101
|
Fall
|
3
|
0
|
3
|
6
|
| Prerequisites |
None
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Required
|
|||||
| Course Level |
First Cycle
|
|||||
| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | Problem SolvingQ&ALecture / Presentation | |||||
| National Occupation Classification | - | |||||
| Course Coordinator | ||||||
| Course Lecturer(s) | ||||||
| Assistant(s) | ||||||
| Course Objectives | This course aims to cover the notion of function which is one of the fundamental concepts of Mathematics. Graphs, limits, derivatives related applications of functions are covered. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | Functions. Limit and continuity, Derivative and Applications. |
| Related Sustainable Development Goals |
|
|
|
Core Courses | |
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Related Preparation |
| 1 | Operations with algebraic expressions, factoring, fractions | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 0.4,0.5,0.6 |
| 2 | Equations, quadratic equations, applications of equations | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 0.7,0.8,1.1 |
| 3 | Linear inequalities, applications of inequalities, absolute value | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 1.2,1.3,1.4 |
| 4 | Functions, special functions, combination of functions, inverse functions, | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 2.1,2.2,2.3,2.4 |
| 5 | Exponential functions, logarithmic functions | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 4.1,4.2,4.3,4.4 |
| 6 | Limits | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 10.1,10.2 |
| 7 | Continuity | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 10.3 |
| 8 | Derivative, Rules for differentiation, the derivatives as a rate of change | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section:11.1, 11.2,11.3 |
| 9 | Midterm | |
| 10 | The product rule and the quotient rule | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 11.4 |
| 11 | The chain rule | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 11.5 |
| 12 | Derivatives of logarithmic and exponential functions | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 12.1,12.2 |
| 13 | Implicit differentiation | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 12.4 |
| 14 | Logarithmic differentiation | Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 12.5 |
| 15 | Review of semester | |
| 16 | Final exam |
| Course Notes/Textbooks | Haeussler E. F., Paul R. S., Wood R.J., Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" ,14th Edition, (Pearson,2018). ISBN-13: 013414110 |
| Suggested Readings/Materials | Finney, Weir, Giordano, “Thomas’ Calculus” , 10th edition, (Addison Wesley longman,2001). ISBN-13: 978-0201441413 |
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques |
6
|
18
|
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
32
|
| Final Exam |
1
|
50
|
| Total |
| Weighting of Semester Activities on the Final Grade |
7
|
50
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
50
|
| Total |
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
| Study Hours Out of Class |
10
|
3
|
30
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
6
|
5
|
30
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
32
|
32
|
| Final Exam |
1
|
40
|
40
|
| Total |
180
|
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
|||||
|
1
|
2
|
3
|
4
|
5
|
|||
| 1 |
To be able to use the theoretical and practical knowledge acquired in the areas of Political Science and International Relations. |
-
|
-
|
-
|
-
|
-
|
|
| 2 |
To be able to have the basic knowledge of, and make use of other disciplines which contribute to the areas of Political Science and International Relations. |
-
|
-
|
-
|
-
|
X
|
|
| 3 |
To be able to distinguish the differences between classical and contemporary theories and to assess their relationship. |
-
|
-
|
-
|
-
|
-
|
|
| 4 |
To be able to recognize regional and global issues, and develop sustainable solutions based on research. |
-
|
-
|
-
|
-
|
-
|
|
| 5 |
To be able to assess the acquired knowledge and skills in the areas of Political Science and International Relations critically. |
-
|
-
|
-
|
-
|
X
|
|
| 6 |
To be able to transfer ideas and proposals on issues in the areas of Political Science and International Relations to other people and institutions verbally and in writing. |
-
|
-
|
-
|
-
|
-
|
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| 7 |
To be able to identify the historical continuity and changes observed in the relations between the actors and institutions of national and international politics. |
-
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-
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-
|
-
|
-
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| 8 |
To be able to examine concepts, theories, and developments with scientific methods in the areas of Political Science and International Relations. |
-
|
-
|
-
|
-
|
-
|
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| 9 |
To be able to take responsibility as an individual and as a team member. |
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-
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-
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-
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-
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| 10 |
To be able to act in accordance with the scientific and ethical values in studies related to Political Science and International Relations. |
-
|
-
|
-
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-
|
-
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| 11 |
To be able to collect data in the areas of Political Science and International Relations and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1). |
-
|
-
|
-
|
-
|
-
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| 12 |
To be able to speak a second foreign language at a medium level of fluency efficiently. |
-
|
-
|
-
|
-
|
-
|
|
| 13 |
To be able to relate the knowledge accumulated throughout human history to their field of experience. |
X
|
-
|
-
|
-
|
-
|
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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