FACULTY OF BUSINESS

Department of Economics

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
6
30
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
7
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
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
6
5
30
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
30
30
Final Exam
1
30
30
    Total
180

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To be able to acquire a sound knowledge of fundamental concepts, theories, principles and methods of investigation specific to the economic field.

X
2

To be able to apply adequate mathematical, econometric, statistical and data analysis models to process economic data and to implement scientific research for development of economic policies.

3

To be able to participate in academic, professional, regional, and global networks and to utilize these networks efficiently.

4

To be able to have adequate social responsibility with regards to the needs of the society and to organize the activities to influence social dynamics in line with social goals.

5

To be able to integrate the knowledge and training acquired during the university education with personal education and produce a synthesis of knowledge one requires.

6

To be able to evaluate his/her advance level educational needs and do necessary planning to fulfill those needs through the acquired capability to think analytically and critically.

7

To be able to acquire necessary skills to integrate social dynamics into economic process both as an input and an output.

8

To be able to link accumulated knowledge acquired during the university education with historical and cultural qualities of the society and be able to convey it to different strata of society.

9

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

10

To be able to attain social, scientific and ethical values at the data collection, interpretation and dissemination stages of economic analysis.

11

To be able to collect data in economics 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 economics.

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

 


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