| Course Name |
Calculus II
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 102
|
Spring
|
3
|
0
|
3
|
6
|
| Prerequisites |
|
|||||||
| 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 provide basic concepts of Mathematics such as functions, area between functions, integrals, maxima minima and their applications, and differential equations. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | Calculus II is the sequel to Calculus I. Topics are as follows: Sketching graphs of functions, optimization, integral, techniques of integration, fundamental theorem of calculus, areas between curves, differential equations, improper integrals. |
| Related Sustainable Development Goals |
|
|
|
Core Courses |
X
|
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Related Preparation |
| 1 | Higher-order derivatives, relative extrema | 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: 12.7, 13.1 |
| 2 | Absolute extrema on a closed interval, concavity | 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: 13.2,13.3 |
| 3 | The second-derivative test, asymptotes | 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: 13.4,13.5 |
| 4 | Applied maxima and minima | 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: 13.6 |
| 5 | Differentials, the indefinite integral | 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: 14.1, 14.2 |
| 6 | Integration with initial conditions, more integration formulas | 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: 14.3, 14.4 |
| 7 | Techniques of integration, the Fundamental theorem of calculus | 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: 14.5, 14.7 |
| 8 | Review-Midterm | |
| 9 | Integration by parts | 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: 6.1 |
| 10 | Partial fractions | "Calculus A Complete Course " by R.A. Adams, C. Essex, 10th Edition, Pearson. Section: 6.2 |
| 11 | Areas between curves | 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: 15.3 |
| 12 | Average value of a function | 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: 15.5 |
| 13 | Differential 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: 15.6 |
| 14 | Improper integrals | 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: 15.8 |
| 15 | Semester review | |
| 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 | "Calculus A Complete Course " 10th Edition by by R.A. Adams, C. Essex, 10th Edition, Pearson. |
| Semester Activities | Number | Weigthing |
| Participation |
-
|
|
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques |
3
|
9
|
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury |
3
|
9
|
| 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 |
3
|
5
|
15
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
3
|
5
|
15
|
| 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 solve problems with an analytical and holistic viewpoint in the field of business administration. |
-
|
-
|
-
|
-
|
X
|
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| 2 |
To be able to present the findings and solutions to the business problems in written and oral formats. |
-
|
-
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-
|
-
|
-
|
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| 3 |
To be able to interpret the application of business and economic concepts, and philosophies at the national and international levels. |
-
|
-
|
-
|
-
|
X
|
|
| 4 |
To be able to use innovative and creative approach for real-life business situations. |
-
|
-
|
-
|
-
|
-
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|
| 5 |
To be able to demonstrate leadership skills in different business situations. |
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-
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-
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-
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-
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| 6 |
To be able to interpret the reflections of new technologies and softwares to business dynamics. |
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-
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-
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-
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| 7 |
To be able to integrate knowledge gained in the five areas of business administration (marketing, production, management, accounting, and finance) through a strategic perspective. |
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| 8 |
To be able to act in accordance with the scientific and ethical values in studies related to business administration. |
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-
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| 9 |
To be able to work efficiently and effectively as a team member. |
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| 10 |
To be able to have an ethical perspective and social responsiveness when making and evaluating business decisions. |
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-
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| 11 |
To be able to collect data in the area of business administration and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1). |
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-
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-
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-
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| 12 |
To be able to speak a second foreign language at a medium level of fluency efficiently. |
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-
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| 13 |
To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
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-
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-
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-
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-
|
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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