ECO1161 Mathematics for Social Sciences IBahçeşehir UniversityDegree Programs ECONOMICSGeneral Information For StudentsDiploma SupplementErasmus Policy StatementBologna CommissionNational Qualifications
ECONOMICS
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
ECO1161 Mathematics for Social Sciences I Fall 3 0 3 8

Basic information

Language of instruction: English
Type of course: Must Course
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery: Face to face
Course Coordinator : Assist. Prof. GÖKHAN ŞAHİN GÜNEŞ
Course Lecturer(s): Assist. Prof. GÖKHAN ŞAHİN GÜNEŞ
Assist. Prof. BURAK DOĞAN
Assoc. Prof. KAAN İRFAN ÖĞÜT
Recommended Optional Program Components: None
Course Objectives: The goal of this course is to provide the basic Mathematical tools and foundations for undergraduate students of Political Science, Business Administration, Economics, Economics and Finance and International Finance at an introductory level and to prepare them for more advanced studies.

Learning Outcomes

The students who have succeeded in this course;
1. Acquire basic knowledge in fundamental mathematical techniques and understand how mathematics is used in social sciences. 2. Repeat the concept and properties of real numbers, remembers simple algebraic issues such as factorization, systems of linear equations and linear inequalities, classify numbers and make calculations with exponents and radicals.
3. Define quadratic equations, inequalities and their graphs, develop and model situations described by linear or quadratic equations and solve them.
4. Understand linear, hyperbolic, exponential and logarithmic functions and find composite and inverse functions; sketch the graphs of specific functions and find symmetry, reflection and rotations in Cartesian coordinates.
5. Solve systems by describing equilibrium and break-even points; define economic relationships as single variable functions, like demand, supply, price, revenue, cost and profit.
6. Compute simple interest using the simple interest formula, compound and continuous compound interest; and the future value of an annuity; develop a strategy for solving finance problems using mathematics.
7. Calculate matrix operations, find inverse of a matrix and solve systems of linear equations using matrix equations.

Course Content

The teaching methods of the course are Lecture, Technology-Enhanced Learning,Problem Solving.
Course content mainly includes topics from high school algebra; such as exponentials, radicals, equations, inequalities, functions, logarithms and etc. The basic philosophy of the course is first to introduce the topics and then practice on them. The course is designed such that students taking this course will have the necessary mathematical equipment and use quantitative research methods.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Introduction Review of Algebra (CH 0) Sets of real numbers, some properties of real numbers, exponents, radicals, operations with algebraic expressions, factoring, fractions, equations (in particular linear equations), quadratic equations
2) Applications and more Algebra (CH 1) Applications of equations, linear inequalities, absolute value
3) Applications and more Algebra (CH 1) Summation notation, sequences
4) Functions and graphs (CH 2) Functions, special functions, combinations of functions, inverse functions
5) Functions and graphs (CH 2) Graphs in rectangular coordinates, symmetry, translations and reflections, functions of several variables
6) Lines, Parabolas, and Systems (CH 3) Lines, applications of linear functions, quadratic functions, systems of linear equations
7) Lines, Parabolas, and Systems (CH 3) Nonlinear systems, applications of systems of equations
8) Midterm Week
9) Exponential and logarithmic functions (CH 4) Exponential functions, logarithmic functions, properties of logarithms
10) Exponential and logarithmic functions (CH 4) Logarithmic and exponential equations
11) Mathematics of finance (CH 5) Compound interest, present value, interest compounded continuously
12) Mathematics of finance (CH 5) Annuities, perpetuities
13) Matrix Algebra (CH 6) Matrices, matrix addition and scalar multiplication
14) Matrix Algebra (CH 6) Matrix multiplication, solving systems by reducing matrices , Inverses

Sources

Course Notes / Textbooks: Introductory Mathematical Analysis, by Ernest F. Haeussler, Richard S. Paul, Richard J. Wood 13th ed. (or 13th ed.) (IMA).

References: Presentation Slides will be distributed. Taking notes is students’ responsibility.

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Quizzes 2 % 10
Homework Assignments 1 % 10
Midterms 1 % 30
Final 1 % 50
Total % 100
PERCENTAGE OF SEMESTER WORK % 50
PERCENTAGE OF FINAL WORK % 50
Total % 100

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) As a world citizen, she is aware of global economic, political, social and ecological developments and trends.  1
2) He/she is equipped to closely follow the technological progress required by global and local dynamics and to continue learning. 4
3) Absorbs basic economic principles and analysis methods and uses them to evaluate daily events.  2
4) Uses quantitative and statistical tools to identify economic problems, analyze them, and share their findings with relevant stakeholders.  3
5) Understands the decision-making stages of economic units under existing constraints and incentives, examines the interactions and possible future effects of these decisions. 1
6) Comprehends new ways of doing business using digital technologies. and new market structures.  1
7) Takes critical approach to economic and social problems and develops analytical solutions. 4
8) Has the necessary mathematical equipment to produce analytical solutions and use quantitative research methods. 5
9) In the works he/she contributes, observes individual and social welfare together and with an ethical perspective.   1
10) Deals with economic problems with an interdisciplinary approach and seeks solutions by making use of different disciplines.  1
11) Generates original and innovative ideas in the works she/he contributes as part of a team.  1