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. |
| 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
|
| |
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 |