MAT1005 Mathematics for Social SciencesBahçeşehir UniversityDegree Programs PSYCHOLOGYGeneral Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
PSYCHOLOGY
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
MAT1005 Mathematics for Social Sciences Fall 2 2 3 5

Basic information

Language of instruction: English
Type of course: Must Course
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery:
Course Coordinator : Dr. Öğr. Üyesi LAVDİE RADA ÜLGEN
Course Lecturer(s): Prof. Dr. İRİNİ DİMİTRİYADİS
Dr. Öğr. Üyesi LAVDİE RADA ÜLGEN
Dr. Öğr. Üyesi MÜRÜVVET ASLI AYDIN
RA AYSUN SOYSAL
RA DUYGU ÜÇÜNCÜ
Prof. Dr. NAFİZ ARICA
Recommended Optional Program Components: None
Course Objectives: The main goal of this course is to provide basic theory and applications of mathematics.

Learning Outcomes

The students who have succeeded in this course;
The students who succeeded in this course;
will be able to understand conceptual and visual representation of limits, continuity, differentiability, and tangent line approximations for functions at a point.
will be able to use first and second derivative tests to optimize functions.
will be able to use derivatives in practical applications, such as distance, velocity, acceleration and related rates.
will be able to graph a simple function.
will be able to evaluate the antidifferentiates of basic functions.
will be able to use Riemann Sums to estimate areas under the curve.
will be able to apply Fundamental Theorem of Calculus to evaluate definite integrals.

Course Content

Real Numbers, Sets, Functions, Limits and continuity, Derivatives. Applications. Extreme values, the Mean Value Theorem and its applications, Graphing. The definite integral. The indefinite integral. Logarithmic, exponential, inverse trigonometric functions and their derivatives. L’Hopital’s Rule. Techniques of integration. Area, Matrix operators.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Real numbers and sets
1) Matrix Operations and systems
2) Relations and Functions
3) Inequalities and Absolute Value
4) Limits and Properties of limits
5) Continuity
6) Derivative and Applications of derivative
7) Graphs
8) Optimization
9) Exponential, Logarithmic and Trigonometric Functions
10) Trigonometric identities
11) Antiderivative of a function
12) Riemann sum and definite integral
13) Integration rules and fundamental theorem of calculus
14) Area and applications

Sources

Course Notes / Textbooks: 1-Applied Mathematics for business, Economics, Life Sciences and Social Sciences by R. A. Barnett, M. R. Ziegler, K. E. Byleen.
References:

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Midterms 2 % 50
Final 1 % 50
Total % 100
PERCENTAGE OF SEMESTER WORK % 50
PERCENTAGE OF FINAL WORK % 50
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 2 28
Application 14 2 28
Study Hours Out of Class 14 2 28
Midterms 2 10 20
Final 1 21 21
Total Workload 125

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) To develop an interest in the human mind and behavior, to be able to evaluate theories using empirical findings, to understand that psychology is an evidence-based science by acquiring critical thinking skills.
2) To gain a biopsychosocial perspective on human behavior. To understand the biological, psychological, and social variables of behavior.
3) To learn the basic concepts in psychology and the theoretical and practical approaches used to study them (e.g. basic observation and interview techniques).
4) To acquire the methods and skills to access and write information using English as the dominant language in the psychological literature, to recognize and apply scientific research and data evaluation techniques (e.g. correlational, experimental, cross-sectional and longitudinal studies, case studies).
5) To be against discrimination and prejudice; to have ethical concerns while working in research and practice areas.
6) To recognize the main subfields of psychology (experimental, developmental, clinical, cognitive, social and industrial/organizational psychology) and their related fields of study and specialization.
7) To acquire the skills necessary for analyzing, interpreting and presenting the findings as well as problem posing, hypothesizing and data collection, which are the basic elements of scientific studies.
8) To gain the basic knowledge and skills necessary for psychological assessment and evaluation.
9) To acquire basic knowledge of other disciplines (medicine, genetics, biology, economics, sociology, political science, communication, philosophy, anthropology, literature, law, art, etc.) that will contribute to psychology and to use this knowledge in the understanding and interpretation of psychological processes. 5
10) To develop sensitivity towards social problems; to take responsibility in activities that benefit the field of psychology and society.
11) To have problem solving skills and to be able to develop the necessary analytical approaches for this. 3
12) To be able to criticize any subject in business and academic life and to be able to express their thoughts.