FACULTY OF BUSINESS

Department of Political Science and International Relations

MATH 101 | Course Introduction and Application Information

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 Solving
Q&A
Lecture / Presentation
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;
  • solve problems by using properties of polynomials, functions, exponential, logarithmic functions.
  • solve quadratic equations, inequalities and applications of equations and inequalities.
  • compute the limits of functions, left and right limits, limits involving infinity and infinite limits.
  • compute the continuity and derivative of a function.
  • reflect these to the tangent line equation and to notions of revenue, cost and profit from economics.
  • apply the chain rule and implicit differentiation.
Course Description Functions. Limit and continuity, Derivative and Applications.

 



Course Category

Core Courses
Major Area Courses
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

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 Midterm
9 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
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

 

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
5
25
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
45
Total

Weighting of Semester Activities on the Final Grade
6
55
Weighting of End-of-Semester Activities on the Final Grade
1
45
Total

ECTS / WORKLOAD TABLE

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
14
3
42
Field Work
0
Quizzes / Studio Critiques
5
4
20
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
30
30
Final Exam
1
40
40
    Total
180

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
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.

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 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.

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.

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.

8

To be able to examine concepts, theories, and developments with scientific methods in the areas of Political Science and International Relations.

9

To be able to take responsibility as an individual and as a team member.

10

To be able to act in accordance with the scientific and ethical values in studies related to Political Science and International Relations.

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).

12

To be able to speak a second foreign at a medium level of fluency efficiently.

13

To be able to relate the knowledge accumulated throughout human history to their field of experience.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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