FACULTY OF ARTS AND SCIENCES

Department of Sociology

SOCIAL MEDIA

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
Mode of Delivery -
Teaching Methods and Techniques of the Course -
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 analyze domains and graph of a function, inverse of a matrix, transposition and algebraic operations on matrices, systems of linear equations.
  • will be able to explain the basic components of probability theory such as sample space, properties of probability function, events, discrete and independent events, conditional probability, continuous and discrete random variables, probability density function.
  • will be able to analyze the expected value and variance issues, distributions such as binomial and normal distributions.
Course Description 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
X
Major Area Courses
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

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", 10th edition, Pearson, 2016. (Chapter 1)
2 Sets; Set concepts; Subsets; Venn diagrams and set operations; Venn diagrams with three sets and verification of equality of sets; applications of sets. “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 2.1, 2.2, 2.3, 2.4, 2.5)
3 Logic: Statements and logical connectives; truth tables for negation, conjunction, and disjunction; truth tables for conditional and biconditional; equivalent statements; symbolic arguments. “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 3.1, 3.2, 3.3, 3.4, 3.5)
4 Algebra, Graph and Functions: Order of operations and solving equations, Formulas, Applications of algebra, Variation. “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 6.1, 6.2, 6.3, 6.4)
5 Algebra, Graph and Functions: Linear inequalities, graphing linear eqautions, solving systems of linear equations, linear inequalities, 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", 10th edition, Pearson, 2016. (Section 6.10 6.7, 6.8, 6.9)
6 Algebra, Graph and Functions: Functions and Their Graphs. “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 6.10)
7 Algebra, Graph and Functions: Functions and Their Graphs. “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 6.10)
8 Matrices: Matrices and matrix operations, the transpose of a matrix, ınverse of a matrix. “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 9.4)
9 Probability: Empirical and theoretic probability; odds; expected value, “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 11.1, 11.2, 11.3)
10 Probability: Tree diagrams, OR and AND problems, Conditional probability. “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 11.4, 11.5, 11.6)
11 Probability: Conditional probability; combinations. “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (11.7, 11.8)
12 Statistics: Sample techniques and misuses of statistics; Frequency distributions and statistical graphs “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 12.1, 12.2)
13 Statistics: Measures of central tendency “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 12.3)
14 Statistics: Measures of dispersion; The normal curve “Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 12.4, 12.5)
15 Semester review
16 Final exam

 

Course Notes/Textbooks

Allen R. Angel, C. Abbott and D. Runde, A survey of Mathematics with Applications, Pearson. 10th edition 2016,ISBN-13:0134112105 ,

“3000 solved problems in linear algebra”; S Lipschutz, McGrow Hill,1989. ISBN-13:0070380236

 

Suggested Readings/Materials

“Calculus for Business, Economics, Life Sciences, and Social Sciences” by R.A. Barnett, M.R. Zie gler, K.E. Byleen, Prentice Hall. gler, K.E. Byleen, Prentice Hall.2014,ISBN-13:978-1292062280

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
4
20
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
50
Total

Weighting of Semester Activities on the Final Grade
5
50
Weighting of End-of-Semester Activities on the Final Grade
1
50
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
4
5
20
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
30
30
Final Exam
1
40
40
    Total
180

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

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

To have the knowledge of classical and contemporary theories in sociology, and be able to comparatively analyze these theories.

2

To have the knowledge of main methodological approaches in sociology as well as social research and data analysis methods.

X
3

To have knowledge in the fields of general sociology, sociology of institutions, social structure and change, and applied sociology.

4

To be able to determine the appropriate methods in the design of the planning stage and conclusion of a sociological project, individually or as part of a team.

X
5

To be able to diagnose the social dynamics behind personal problems by using sociological imagination.

6

To be able to define social problems at local, national, and global level, and offer new policies for solutions.

7

To be able to apply commonly-used computer programs for data collection and analysis in sociological research.

X
8

To be able to develop a socially responsible, scientific and ethical perspective regarding the collection, analysis, interpretation and presentation of data.

9

To be able to analyze different aspects of the social world by drawing on the knowledge produced by other disciplines of the social sciences.

10

To be able to constantly renew herself/himself professionally by following scientific and technological developments in sociology and social research.

X
11

To be able to collect sociological data and communicate with sociologists and other social scientists 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 the human history to their field of expertise.

X

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

 


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