| Course Name | Introduction to Mathematics and Statistics |
| Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
|---|---|---|---|---|---|
| MATH 107 | Fall/Spring | 3 | 0 | 3 | 6 |
| Prerequisites | None | |||||
| Course Language | English | |||||
| Course Type | Service Course | |||||
| 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 |  |
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| Core Courses | |
| Major Area Courses | ||
| Supportive Courses | X | |
| 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; 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. applications od sets. Infinite sets. | Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016.(Chapter 2) |
| 3 | Logic: Statements and Logical Connectives; Truth Tables for Negation, Conjunction, and Disjunction; Truth Tables for Conditional and Biconditional; equivalent statements; symbolic arguments; Euler diagrams and Syllogistic arguments; switching circuits. | 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, 3.6) |
| 4 | Algebra, graphs, and functions: order of operations; linear equations in one variables; linear inequalities; lines; the graph of an equation; intercepts; equation of a vertical line; slope of a line; point slope form of an equation of a line; equation of a horizontal line; slope intercept form of an equation of a line. pairs of lines; coincident lines (theorem); parallel lines; intersecting lines. | 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, 6.5). S Lipschutz, “3000 solved problems in linear algebra”, McGrow Hill.1988. ( Chapter 3 ) |
| 5 | Graphing Linear Equations; linear inequalities in two variables; solving quadratic equations by using factoring and by using the quadratic formula. | S Lipschutz, “3000 solved problems in linear algebra”, McGrow Hill.1988. (Section 6.6, 6.7, 6.8, 6.9 ) |
| 6 | Mappings and functions; mappings, the domain and image sets. | S Lipschutz, “3000 solved problems in linear algebra”, McGrow Hill.1988. ( Section 9.1 ) |
| 7 | Graphs of functions | Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 6.10) |
| 8 | Constant functions, quadratic functions, exponential function. | Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 6.10) |
| 9 | Introduction to probability; theoretic probability; ODDS; expected value; sample spaces, assignment of probabilities; properties of the probability of an event. | 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, 11.4) |
| 10 | 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", 10th edition, Pearson, 2016. (Section 11.5, 11.6, 11.7) |
| 11 | Introduction to statistics: data and sampling; the misuses of statistics. | Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 11.9, 12.1) |
| 12 | Frequency distributions, statistical graphs; measures of central tendency; measures of dispersion. | Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 12.2, 12.3, 12.4) |
| 13 | The normal curve. Normal distribution. | Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 12.5) |
| 14 | Voting and apportionment: voting methods; flaws of voting; apportionment methods; flaws of the apportionment methods. | Allen R. Angel, C. Abbott and D. Runde, "A survey of Mathematics with Applications", 10th edition, Pearson, 2016. (Section 14.1, 14.2, 14.3, 14.4) |
| 15 | Review of the semester | |
| 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 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 be able to critically interpret theories, concepts, methods, instruments and ideas that form the basis of Public Relations and Advertising field. | |||||
| 2 | To be able to collect and use necessary data to produce content in the field of Public Relations and Advertising with scientific methods. | X | ||||
| 3 | To be able to use theoretical knowledge gained in the field of Public Relations and Advertising in practice. | X | ||||
| 4 | To be able to use analytical thinking skills in the field of Public Relations and Advertising. | X | ||||
| 5 | To be able to convey creative ideas and solution suggestions supported by scientific data in written and oral form to stakeholders. | X | ||||
| 6 | To be able to take responsibility as individual and group members to solve problems encountered in the practice of Public Relations and Advertising field. | X | ||||
| 7 | To be able to develop solutions that favor public good and raise awareness by having knowledge about regional, national and global issues and problems. | X | ||||
| 8 | To be able to relate the basic knowledge of other disciplines supporting the field of Public Relations and Advertising with his/her own field of expertise. | X | ||||
| 9 | To be able to use the knowledge, skills and competencies acquired by following regulations, innovations, changes, current developments, and occupational health and safety practices closely in the field of Public Relations and Advertising; in a lifelong manner and for individual and social purposes. | X | ||||
| 10 | To be able to collect, interpret and share data by considering social, scientific and professional ethical values in the field of Public Relations and Advertising. | X | ||||
| 11 | To be able to collect data in the areas of Public Relations and Advertising and communicate with colleagues 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
