COURSE INFORMATION
Course Title: TERM PROJECT
Code Course Type Regular Semester Theory Practice Lab Credits ECTS
BAF 502 F 2 6 0 0 6 15
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: Dr. Dritan Osmani dosmani@epoka.edu.al , Monday-Friday 8:30- 17:30
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) Professional Master in Banking and Finance
Classroom and Meeting Time: E 312
Code of Ethics: Code of Ethics of EPOKA University
Regulation of EPOKA University "On Student Discipline"
Attendance Requirement: 60%
Course Description: -
Course Objectives: The aim of this course is to give the basic ingredients of mathematics for business and economics. Namely, functions, derivatives and differentials. Moreover, most of the models in economics appear in the form of linear models.
BASIC CONCEPTS OF THE COURSE
1 Literature review
2 Research question
3 Metodology
4 Statistical and Econometrical Analysis
5 Primary Data
6 Secondary Data
COURSE OUTLINE
Week Topics
1 Differentiation & Marginal Functions --- Chapter 14 : This chapter provides a simple introduction to the general topic of calculus. It provides a leisurely introduction to the basic idea of differentiation. The material is explained using pictures, which will help you to understand the connection between the underlying mathematics and the economic applications in later sections.
2 Optimization --- Chapter 15 : Mathematical optimization is the selection of a best element, with regard to some criterion, from some set of available alternatives.
3 Elasticity --- Chapter 16 : The elasticity is measured in terms of percentage changes instead of absolute changes. This means we measure the change in a variable as a percentage of the original amount of the variable. The elasticity of Y with respect to X is the ratio of the percentage change in Y to the percentage change in X.
4 Revision Exercises. Quiz 1
5 Constraint Optimization --- Chapter 17 : Constraints are logical conditions that a solution to an optimization problem must satisfy. They reflect real-world limits on production capacity, market demand, available funds, and so on. To define a constraint, you first compute the value of interest using the decision variables.
6 Review. Exercises
7 Midterm
8 Indefinite Integration. Definite Integration --- Chapter 18 : An indefinite integral is a function that practices the antiderivative of another function. It can be visually represented as an integral symbol, a function, and then a dx at the end. The indefinite integral is an easier way to signify getting the antiderivative.
9 Basic Matrix Operations. Matrix inversion. --- Chapter 19 : Addition, subtraction and multiplication are the basic operations on the matrix. To add or subtract matrices, these must be of identical order and for multiplication, the number of columns in the first matrix equals the number of rows in the second matrix.
10 Cramer`s rule --- Chapter 20 : In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
11 Revision Exercises. Quiz 2
12 Graphical solution of linear programming problems --- Chapter 21 : In Mathematics, linear programming is a method of optimising operations with some constraints. The main objective of linear programming is to maximize or minimize the numerical value. It consists of linear functions which are subjected to the constraints in the form of linear equations or in the form of inequalities.
13 Differential equations --- Chapter 22 : In Mathematics, a differential equation is an equation with one or more derivatives of a function. The derivative of the function is given by dy/dx. In other words, it is defined as the equation that contains derivatives of one or more dependent variables with respect to one or more independent variables.
14 Review. Exercises
Prerequisite(s): NA
Textbook(s): Ian Jacques, Mathematics for Economics and Business, Printice Hall Inc., Harlow, 2006
Additional Literature: 1-E. F. Haeussler, Jr. and R. S. Paul (1999) Introductory Mathematical Analysis, Perentice-Hall Inc. New Jersey.
Laboratory Work: NA
Computer Usage: NA
Others: No
COURSE LEARNING OUTCOMES
1 Estimate the derivative of a function by measuring the slope of a tangent.
2 Derive the relationship between marginal and average revenue
3 Differentiate complicated functions using a combination of rules.
4 Determine the price elasticity for general linear demand functions.
5 Use the first and the second-order derivative to find maximum and minimum points of a function with one variable.
6 Perform implicit differentiation.
7 Use the first and the second-order derivative to find maximum and minimum points of a function with two variables.
8 Use the method of Lagrange multipliers to solve constrained optimisation problems.
9 Use methods of integration to calculate the consumer’s surplus, producer’s surplus, capital stock formation
10 Use matrix inverses to solve systems of linear equations arising in economics.
COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES
(Blank : no contribution, 1: least contribution ... 5: highest contribution)
No Program Competencies Cont.
Professional Master in Banking and Finance Program
1 The students gain the ability to look at the problems of daily life from a broader perspective with an increased awareness of the importance of moral/ethical considerations and professional integrity in the workplace. 5
2 They develop their knowledge and understanding of banking and finance including concepts, theories, and analytical tools. 5
3 They gain an understanding of the role of financial manager in business firms and further develop their knowledge in the field. 5
4 They are able to make better financial decisions for the firm including capital budgeting, corporate governance, capital structure, dividend policy, working capital management and liquidity management decisions. 5
5 They have a broader knowledge of the regulatory framework and functioning of the banking system, international banking, central banking and the conduct of monetary policy. 5
6 They are able to understand and use economic theories and tools to solve economic problems in banking and financial services industry both nationally and internationally. 5
7 They are able to apply valuation models to estimate the price of financial assets, measure risk and describe the risk-return tradeoff. 5
8 They are able to conduct financial analysis, interpret the results and communicate them effectively to the interested parties. 5
9 They are able to utilize accounting, financial and economic data and produce valuable reports that would help the decision-making process. 5
10 They are expected to develop their numerical and IT skills through solving financial problems with excel as well as improve their knowledge on databases. 5
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 15 15
Other 4 1 4
Total Work Load:
125
Total Work Load/25(h):
5
ECTS Credit of the Course:
15
CONCLUDING REMARKS BY THE COURSE LECTURER

This course aims at supervising professional master students. This is an individual research work where students need to regularly meet with the supervisor and show their work and the supervisor is supposed to provide feedback. Students need to follow the academic timetable for the deadlines regarding final submission while they are required to deliver their final draft to the supervisor at least 2 weeks before the end of the course work in order for the supervisor to have enough time for some final feedback.