| 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 | |
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| 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", 10th edition, Pearson, 2016. ISBN-13:0134112105 S Lipschutz, “3000 solved problems in linear algebra”, McGrow Hill.1988. 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.13th edition 2014, ISBN-13:978-0321869838 |
| Semester Activities | Number | Weighting |
| 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 knowledge of basic concepts, theories, approaches (behavioral, biological, cognitive, evolutionary, social, developmental, statistical, humanistic, psychodynamic, and socio-cultural), and current applications specific to the field of psychology by using current course materials and instruments. | X | ||||
| 2 | To have basic knowledge and skills about the applications in the different subfields of psychology. | X | ||||
| 3 | To have basic knowledge about the testing and measurement instruments used in different subfields of psychology and basic level skill that does not require expertise in carrying out applications in different subfields of psychology. | X | ||||
| 4 | To make use of other disciplines that may contribute to psychology and have basic knowledge about the contribution of psychology to these disciplines. | X | ||||
| 5 | To have cumulative knowledge about the position of psychology as a scientific discipline in Turkey, the conducted research, applications and problems encountered from past to present in the field of psychology. | X | ||||
| 6 | To have the competence to conduct a research individually and/or as a team using the knowledge acquired in the field of psychology, interpret the findings obtained by using scientific problem solving and critical thinking approaches. | X | ||||
| 7 | To have the ability to construct a research hypothesis, create a research design, collect data, analyze it, report it in a scientific writing format, and interpret it by using basic knowledge related to testing and measurement, research methods, and statistics acquired in the field of psychology. | X | ||||
| 8 | To have the competence to share the theoretical and applied knowledge acquired in the field of psychology with the experts and lay people by using the required information and communication technologies in scientific studies and events that benefit the society. | X | ||||
| 9 | To have knowledge of the relevant professional and ethical values in the domains of psychology and respect individual differences and human rights in research and practices related to psychology. | X | ||||
| 10 | To constantly renew herself/himself professionally by following both national and international publications in the field of psychology, the developments in testing and measurement instruments and software programs used in the discipline. | X | ||||
| 11 | To establish written and verbal communication with experts and lay people by using both Turkish and English. | X | ||||
| 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. | |||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
