Course Name 
Fundamentals of Mathematics

Code

Semester

Theory
(hour/week) 
Application/Lab
(hour/week) 
Local Credits

ECTS

MATH 111

Fall

3

0

3

6

Prerequisites 
None


Course Language 
English


Course Type 
Required


Course Level 
First Cycle


Course Coordinator  
Course Lecturer(s)  
Assistant(s) 
Course Objectives  This course aims to provide basic concepts of Mathematics such as functions, sets, matrices. Students will learn several mathematical and statistical concepts, methods and procedures used in social sciences, including matrices, functions, statistics, probability, estimation, hypothesis testing. The course demonstrates how mathematical and statistical methods can serve to provide tools for improving managerial decision skills. 
Learning Outcomes 
The students who succeeded in this course;

Course Content  Sets, functions, matrices, introduction to statistics, data types and collecting data, permutation, combination, probability function, random variable, their expected values and variances and distribution fuctions. 

Core Courses 
CORE

Major Area Courses  
Supportive Courses  
Media and Management Skills Courses  
Transferable Skill Courses 
Week  Subjects  Related Preparation 
1  Sets; Introduction to sets, Subset, Proper Subset; Universal Set; Operations on sets, Ven Diagrams; Complement of a set; De Morgan's properties; The number of elements in a set.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson (Chapter 2) 
2  Linear equations; Lines; The graph of an equation; Intercepts; Equation of a vertical line; Slope of a line; Pointslope form of an equation of a line; Equation of a horizontal line; SlopeIntercept form of an equation of a line(Theorem)  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson (Section 6.7) 
3  Pairs of lines; Coincident lines (Theorem); Parallel lines; Intersecting lines.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson (Chapter 9 Section 9.1) 
4  Matrices; Matrix algebra; Square matrix; Multiplication of Matrices.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson (Chapter 7 Section 7.3) S Lipschutz, 3000 solved problems in linear algebra; McGrow Hill. ( Chapter 2 ) 
5  The inverse of a matrix, transpose of a matrix; Determinant of a matrix  S Lipschutz, 3000 solved problems in linear algebra; McGrow Hill. (Chapter 4) 
6  Mappings and functions; Mappings, The domain and image sets, Notation.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson (Section 6.10) 
7  Graphs of functions  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson (Section 6.10) 
8  Constant functions, quadratic functions, exponential function.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson (Section 6.10) 
9  Permutation and combinations; The counting formula; the multiplication principle, Factorials.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson. (Section 12.8, 12.9) 
10  Introduction to probability; Sample spaces, Assignment of probabilities; properties of the probability of an event; expected value.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson. (Section 12.1, 12.2, 12.4) 
11  OR and AND problems, Independent events, Conditional Probability, The counting principle.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson (Section 12.6, 12.7, 12.8) 
12  Introduction to Statistics: Data and Sampling  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson. (Section 13.1) 
13  Frequence distributions, Statistical graphs.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson (Section 13.3,13.4) 
14  The normal curve. Normal distribution.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson. (Section 13.7) 
15  Review  
16  Review of the Semester 
Course Textbooks  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson. S Lipschutz, “3000 solved problems in linear algebra”; McGrow Hill. 
References  “Calculus for Business, Economics, Life Sciences, and Social Sciences” by R.A. Barnett, M.R. Zie gler, K.E. Byleen, Prentice Hall. 
Semester Requirements  Number  Percentage 
Participation  
Laboratory / Application  
Field Work  
Quizzes / Studio Critiques 
5

20

Homework / Assignments  
Presentation / Jury  
Project  
Seminar / Workshop  
Portfolios  
Midterms / Oral Exams 
1

30

Final / Oral Exam 
1

50

Total 
Contribution of Semester Work to Final Grade  6 
50 
Contribution of Final Work to Final Grade  1 
50 
Total 
Activities  Number  Duration (Hours)  Workload 

Course Hours Including exam week: 16 x total hours 
16

3

48

Laboratory / Application Hours Including exam week: 16 x total hours 
16


Study Hours Out of Class 
16

3


Field Work  
Quizzes / Studio Critiques 
5

5


Homework / Assignments  
Presentation / Jury  
Project  
Seminar / Workshop  
Portfolios  
Midterms / Oral Exams 
1

20


Final / Oral Exam 
1

40


Total 
181

#

Program Qualifications / Outcomes 
* Level of Contribution


1 
2 
3 
4 
5 

1  To be able to scientifically examine concepts and ideas in the field of sociology; to be able to interpret and evaluate data.  X  
2  To be able to define classical and contemporary theories in sociology; to be able to identify the differences and similarities among those theories and to be able to evaluate them.  
3  To be able to critically use the knowledge acquired in the field of sociology  
4  To be able to plan and conduct, individually or as a member of a team, an entire sociological research process with the knowledge of methodological requirements of the field.  X  
5  To be able to identify and evaluate local, regional and global issues and problems.  
6  To be able to share their ideas and solutions supplemented by qualitative and quantitative data in written and oral forms.  X  
7  To be able to make use of other disciplines related to sociology and to have core knowledge related to those disciplines.  X  
8  To be able to follow developments in sociology and to be able to communicate with international colleagues in a foreign language. (“European Language Portfolio Global Scale,” Level B1)  
9  To be able to use computer software required by the discipline and to possess advancedlevel computing and IT skills. (“European Computer Driving Licence”, Advanced Level)  
10  To be able to use a second foreign language at the intermediate level.  
11  To have social and scholarly values and ethical principles during the collection and interpretation of data for implementation, publication, dissemination, and maintenance  
12  To acquire life long learning abilities that will enable the socially responsible application of knowledge based on their field of study to their professional and everyday lives.  X 
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest