COURSE INFORMATION Course Title: MATH. FOR ECONOMICS AND BUSINESS I

Code	Course Type	Regular Semester	Theory	Practice	Lab	Credits	ECTS
BUS 101	A	1	4	0	0	4	5

Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature)	NA
Main Course Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	M.Sc. Vasil Lino vlino@epoka.edu.al , Monday-Friday 8:30 - 16:30
Second Course Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	NA
Teaching Assistant(s) and Office Hours:	NA
Language:	English
Compulsory/Elective:	Compulsory
Study program: (the study for which this course is offered)	Bachelor in Economics (3 years)
Classroom and Meeting Time:
Code of Ethics:	Code of Ethics of EPOKA University Regulation of EPOKA University "On Student Discipline"
Attendance Requirement:
Course Description:	Mathematics for Economics and Business I: The aim of the courses is that the student be familiar with a wide variety of mathematical concepts. 1. The rate of change of function, Equations for lines, Functions and graphs, absolute values, limits continuity. 2. Derivates. 3. Applications of derivatives. Curve Sketching, Maxima and Minima, The Eigen value theorem. 4. Integration, Indefinite Integrals, Definite Integrals, Applications of Definite Integrals. 5. Transcendental functions Inverse Functions, Exponential and Logarithmic Functions. 6. Mathematics of Finance. 7. Introduction to Probability and statistics.
Course Objectives:	To provide students with solid training in fundamental theories in both mathematics and economics. To equip students with quantitative reasoning skills, conceptual understanding, and the ability to effectively communicate in mathematics and in the language of economics and social science.

BASIC CONCEPTS OF THE COURSE

1	Algebraic operations and the graph of the linear function.
2	Algebraic operations and applications on solution of the real economic problems
3	Economic function as a special case of the mathematical linear function
4	Quadratic function, all it's properties and the graphs.
5	Economic functions as a quadratic mathematical function.
6	Powers functions properties and graphs
7	Exponential and logarithmic functions, properties and graphs. Economic applications.
8	Finding the percentages of the numbers and their usage in the economy
9	Interest rates of savings and loans
10	Geometric sequences and series. Applications on banks activity. Evaluation of the projects.

COURSE OUTLINE

Week	Topics
1	Introduction to algebra, graphs of linear equations. 1. Revision program of high school for algebra and functions. Linear functions, quadratic functions, and their graphs. Study, thinking and reasoning over the real economic problems and their solution. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 1, sections 1.1, 1.2, and 1.3, pages 5-39.
2	Solution of simultaneous equations. Transposition formula. 2. Revision of the methods of the solution of simultaneous equations of two variables. Applications of these systems to solve real economic problems. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 1, sections 1.4, 1.6, pages 55-66, and 84-91
3	Supply and demand analysis. 3. Analyze of the two important economic functions, supply and demand functions, in their simplest forms, as linear functions. Analyze the market equilibrium and finding it to the real economic problems. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 1, sections 1.5, and 1.7, pages 67-83 and 93-108.
4	Quadratic functions. 4. Analyze in details the quadratic function, given by formula y = ax2 + bx + c. especially the study will be for “negative a” case. Just this case is related with total revenue function and the profit function. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 2, section 2.1, pages 121-138
5	Revenue cost and profit. 5. Study in details the economic functions of the total revenue, total cost and the profit in their simplest forms, as linear and quadratic functions. Analyze the break-even points, and intervals of the values of “Q” where the profit is positive number. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 2, section 2.2 pages 140-150.
6	Indices and logarithms. 6. Revision of the powers and logarithms and study them in details for applications on the solution of the economic problems using computer for numerical calculations of powers and logarithms. . Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter2, section 2.3 pages 151-171.
7	Exponential and natural logarithmic functions. 7. Revision material done on the high school program and study in details the exponential and logarithmic function. These functions will study for their applications on finance for calculating savings and loans. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 2.4 pages 172-188.
8	Midterm Exam
9	Percentages. 8. Study in details percentages for its applications on sales and on index number. The index numbers are “numbers without unit”, that shows the trendy of the data. Data given as index number must understand well and used well, too. They are very useful on the presentation of the economic data. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 3, section 3.1 pages 197-225.
10	Compound Interest. 9. Learn everything about the interest rates used on the banking system and in finance. Study in details present and future values in compound and continuous compound interests. Calculations of monthly payments of the loans and annuity. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 3, section 3.2 pages 216-229.
11	Geometric series. 10. Revision and study in details, the arithmetic and geometric sequences, and geometric series. Application on loans and savings on a long period of time. Learn to solve exercises from real bancs activity, mainly for loans and savings. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 3 section 3.3, pages 230-240.
12	Investments appraisal. 11. Study the evaluation of the investments. Is known that, investments are the most important part of every economic activity. The economic activity increases its profit when it uses right evaluated investments. The usage of the non-correct investment appraisal can destroy entirely an economic activity. Learn to solve problems and exercises for evaluating the projects and investment appraisal. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. Chapter 3, section 3.4 pages 241-256
13	Exercises. 12. Revision of the most important topics from chapters 1, 2, and 3. On the book multiple choice exercises at the end of every chapter. Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. End of chapters 1, 2, 3 pages 112-115, 189-192, 259-262
14	Revision. 13. Revision and exercises of all material studied during the semester, and preparation for the final exam. On the book examination questions at the end of every chapter Book: Jan Jacque: Mathematics for Economics and Business. Ninth edition 2018. End of chapters 1, 2, 3 pages 116-120, 193-196, 263-266.

Prerequisite(s):	NA
Textbook(s):	Ian Jacques, Mathematics for Economics and Business, Pearson ninth edition 2018
Additional Literature:	1. Essential Mathematics for Economic Analysis, Pearson fifth Edition 2016, Knut Sydsaeter, Peter Hammond, Arne Strom &Andres Carvajal, 2. MATEMATIKA PER EKONOMINE DHE BIZNESIN 1 LEKSIONE PER FAKULTETET EKONOMIKE VASIL LINO Tirane, 2022
Laboratory Work:	NA
Computer Usage:	NA
Others:	No

COURSE LEARNING OUTCOMES

1	Solve linear equations and inequalities.
2	Solve a system of two simultaneous linear equations in two unknowns using elimination.
3	Identify and sketch a linear demand/supply function.
4	Determine the equilibrium price and quantity for a single-commodity market both graphically and algebraically.
5	Set up simple macroeconomic models.
6	Solve quadratic inequalities using graphs or sign diagrams.
7	Determine equilibrium price and quantity given a pair of quadratic demand and supply functions.
8	Find the level of output that maximizes total revenue or profit.
9	Solve problems involving a percentage increase or decrease.
10	Calculate the future/present value of a principal under annual/continuous compounding.

COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES (Blank : no contribution, 1: least contribution ... 5: highest contribution)

No	Program Competencies	Cont.
Bachelor in Economics (3 years) Program
1	Students define the fundamental problems of economics	5
2	Students describe key economic theories	4
3	Students critically discuss current developments in economics	3
4	Students appropriately use software for data analysis	2
5	Students critically contextualize the selection of an economic problem for research within scholarly literature and theory on the topic	5
6	Students apply appropriate analytical methods to address economic problems	5
7	Students use effective communication skills in a variety of academic and professional contexts	4
8	Students effectively contribute to group work	2
9	Students conduct independent research under academic supervision	4
10	Students uphold ethical values in data collection, interpretation, and dissemination	4
11	Students critically engage with interdisciplinary innovations in social sciences	3
12	Student explain how their research has a broader social benefit	1

COURSE EVALUATION METHOD

Method	Quantity	Percentage
Midterm Exam(s)	1	35
Quiz	2	5
Final Exam	1	45
Attendance		10
	Total Percent:	100%

ECTS (ALLOCATED BASED ON STUDENT WORKLOAD)

Activities	Quantity	Duration(Hours)	Total Workload(Hours)
Course Duration (Including the exam week: 16x Total course hours)	16	4	64
Hours for off-the-classroom study (Pre-study, practice)	16	2	32
Mid-terms	1	10	10
Assignments			0
Final examination	1	14	14
Other	5	1	5
Total Work Load:			125
Total Work Load/25(h):			5
ECTS Credit of the Course:			5

CONCLUDING REMARKS BY THE COURSE LECTURER

At the application of this program is important the usage of mathematical rules in the modeling and analyzing of the economic functions. On the focus will be the function with all it's properties and graphs applied over economic functions.