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;
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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 |
| Core Courses | X |
Major Area Courses | ||
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
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
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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 Exam | ||
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 |
---|---|---|---|
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 | 14 | 3 | 42 |
Field Work | |||
Quizzes / Studio Critiques | 4 | 5 | |
Portfolio | |||
Homework / Assignments | |||
Presentation / Jury | |||
Project | |||
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 30 | |
Final Exams | 1 | 40 | |
Total | 180 |
# | 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