ECO1161 Mathematics for Social Sciences IBahçeşehir UniversityDegree Programs ECONOMICS AND FINANCEGeneral Information For StudentsDiploma SupplementErasmus Policy StatementBologna CommissionNational Qualifications
ECONOMICS AND FINANCE
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
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction: English
Type of 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) Build up a body of knowledge in mathematics and statistics, to use them, to understand how the mechanism of economy –both at micro and macro levels – works. 5
2) Understand the common as well as distinctive characters of the markets, industries, market regulations and policies. 2
3) Developing the ability to explain global economic events by understanding different economic perspectives. 1
4) Acquiring the ability to analyze the impact of politics on the economy and vice versa. 1
5) Gaining the competence to propose solutions to economic problems and evaluate opposing policy recommendations. 2
6) Understanding and evaluating new economic developments and approaches. 2
7) Developing the ability to convey economic news and developments through written, oral, and graphical communication. 4
8) Gaining the competence to develop structured solutions for economic issues. 3
9) Acquiring the capability to present findings that support economic assumptions using numerical and verbal skills. 4
10) Gaining the competence to follow economic information and communicate with colleagues using a foreign language. 3