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 Managment 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  
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  
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 assess psychological concepts and perspectives, interpret and evaluate data using scientific methods  X  
2  To be able to develop a curiosity and interest towards the mind and its phenomena, to possess a sense of critical and scientific reflexion and ability to analyze new information.  X  
3  Ability to make use of theoretical and applied knowledge in local and global levels.  X  
4  To have a basic knowledge of other disciplines that can contribute to psychology and to be able to make use of this knowledge  X  
5  To possess and value societal, scientific and ethical principles in collecting, interpreting and publishing psychological data  X  
6  To have knowledge of how psychology is positioned as a scientific discipline from a historical perspective, and to know with what methods it views behavioural and mental processes  X  
7  To be able to distinguish between the emphases of fundamental theories and perspectives of psychology (behavioural, biological, cognitive, evolutionary, social, developmental, humanistic, psychodynamic and sociocultural) and compare and express their differences and similarities, contributions and limitations  X  
8  The competence to share psychological knowledge based and qualitative and quantitative data with experts and lay people, using effective communication skills  X  
9  To have the awareness of interpersonal and societal problems and phenomena and adopt this awareness in psychological problems and researches.  X  
10  Competence to make use of applied and theoretical psychological knowledge to make contributions to industrial development and provide solutions to problems  X  
11  To possess essential knowledge of techniques and instrumentation for psychological measurement and evaluation  X 
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest