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  Critical thinking skills: Inductive Reasoning; Estimation; Problem Solving.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
2  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. Applications od sets. Infinite sets.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
3  Logic: Statements and Logical Connectives; Truth Tables for Negation, Conjunction, and Disjunction; Truth Tables for Conditional and Biconditional; Equivalent Statements; Symbolic Arguments; Euler Diagrams and Syllogistic Arguments; Switching Circuits.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
4  Algebra, Graphs, and Functions: Order of Operations; Linear equations in one variables; Linear Inequalities; Lines; The graph of an equation; Intercepts; Equation of a vertical line; Slope of a line; Point slope form of an equation of a line; Equation of a horizontal line; Slope Intercept form of an equation of a line. 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 
5  Graphing Linear Equations; Linear Inequalities in two variables; Solving quadratic equations by using factoring and by using the quadratic formula.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
6  Mappings and functions; Mappings, The domain and image sets.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
7  Graphs of functions  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
8  Constant functions, quadratic functions, exponential function.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
9  Introduction to probability; Theoretic Probability; ODDS; Expected Value; Sample spaces, Assignment of probabilities; properties of the probability of an event.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
10  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 
11  Introduction to Statistics: Data and Sampling; The Misuses of Statistics.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
12  Frequency distributions, Statistical graphs; Measures of Central Tendency; Measures of Dispersion.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
13  The normal curve. Normal distribution.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
14  Voting and Apportionment: Voting Methods; Flaws of Voting; Apportionment Methods; Flaws of the Apportionment Methods.  Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson 
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