MATH 111 | Course Introduction and Application Information

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;
  • will be able to use properties of sets and set operations
  • will be able evaluate basic probabilities by using permutations and combinations.
  • will be able to understand and sketch the graph of basic functions. To be able to determine inverse and transpose of a matrix and linear equations and algebric operations on matrices.
  • will be able to understand fundamental elements of Statistics and Types of Data.
  • will be able to understand fundamental elements of Probability Theory; Sample spaces, Assignment of Probabilities, Events, Mutually exclusive events, Conditional probability, Independent events.
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.

 



Course Category

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

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

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.

 

EVALUATION SYSTEM

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

ECTS / WORKLOAD TABLE

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

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
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