MATH 111 | Course Introduction and Application Information - Department of Political Science and International Relations

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	-
National Occupation Classification	-
Course Coordinator	Dr. Öğr. Üyesi Ayşe BELER
Course Lecturer(s)	Öğr. Gör. Dr. Tuğçe KATICAN Öğr.Gör.Dr. YAĞMUR ÇAKIROĞLU
Assistant(s)	Araş. Gör. Merve KAHRAMAN ARİMAN Araş. Gör. Sıla Selenay KOÇ

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.
Related Sustainable Development Goals

Course Category	Core Courses
	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", 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; applied learning 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. 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 6.10,9.4)
8	Midterm
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

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

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

#	Program Competencies/Outcomes	* Contribution Level
#	Program Competencies/Outcomes	1	2	3	4	5
1	To be able to use the theoretical and practical knowledge acquired in the areas of Political Science and International Relations.	-	-	-	-	-
2	To be able to have the basic knowledge of, and make use of other disciplines which contribute to the areas of Political Science and International Relations.	-	-	-	-	-
3	To be able to distinguish the differences between classical and contemporary theories and to assess their relationship.	-	-	-	-	-
4	To be able to recognize regional and global issues, and develop sustainable solutions based on research.	-	-	-	-	-
5	To be able to assess the acquired knowledge and skills in the areas of Political Science and International Relations critically.	-	-	-	-	-
6	To be able to transfer ideas and proposals on issues in the areas of Political Science and International Relations to other people and institutions verbally and in writing.	-	-	-	-	-
7	To be able to identify the historical continuity and changes observed in the relations between the actors and institutions of national and international politics.	-	-	-	-	-
8	To be able to examine concepts, theories, and developments with scientific methods in the areas of Political Science and International Relations.	-	-	-	-	-
9	To be able to take responsibility as an individual and as a team member.	-	-	-	-	-
10	To be able to act in accordance with the scientific and ethical values in studies related to Political Science and International Relations.	-	-	-	-	-
11	To be able to collect data in the areas of Political Science and International Relations and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1).	-	-	-	-	-
12	To be able to speak a second foreign language at a medium level of fluency efficiently.	-	-	-	-	-
13	To be able to relate the knowledge accumulated throughout human history to their field of experience.	-	-	-	-	-