EASTERN MEDITERRANEAN UNIVERSITY
COURSE OUTLINE TEMPLATE
COURSE CODE
COURSE TITLE
COURSE TYPE
MATH104 COURSE LEVEL Spring 2008-09
Mathematics for Business and Economics II
Area Core
Mehmet Ali TUT, Room: AS351, Tel:1237, mail: mehmet.tut@emu.edu.tr
Aylin Özkurtuluş Altınay, AS322, mail: aylin.altınay@emu.edu.tr
Alsev Özdil, Room: AS350, Tel: 2408, mail: alsev.ozdil@emu.edu.tr
LECTURER(S)
CREDIT VALUE
PREREQUISITES
COREQUISITES
DURATION OF COURSE
WEB LINK
CATALOGUE DESCRIPTION
3
ECTS VALUE
4
Math103
1 semester
http://brahms.emu.edu.tr/tut
Matrices and determinants; Applications. Solution of systems of linear equations; Inverse matrix method, Cramer's rule. Rate
of change. Derivatives. Higher order derivatives. Curve sketching. Optimization. Revenue, cost, profit applications. Costbenefit analysis. Functions of several variables. Partial derivatives. Applications. Lagrange multipliers. Integrals. Definite
Integrals. Areas, Applications.
AIMS & OBJECTIVES
The main objective of the course is to provide the mathematical background needed for the solution of business
and economics problems. Subjects are supported by some selected real life application problems.
GENERAL LEARNING OUTCOMES (COMPETENCES)
On successful completion of this course, all students will have developed knowledge and understanding of:
- Matrices and matrix operations
- Limits, and derivatives
- Integrals
- Bivariate functions
On successful completion of this course, all students will have developed their skills in:
- Matrix operations and Cramer’s rule and Inverse matrix methods in solving systems
- Limit evaluations, and continuity check
- Finding derivatives by rules
- Locating and identifying critical points and their natures
- Applying derivatives to business problems
- Finding areas under a curve and/or between two curves applied to business problems
- Solving business problems (optimization) in two variables
On successful completion of this course, all students will have developed their appreciation of and respect for
values and attitudes regarding the issues of:
- Willingness to work independently to solve problems
- Willingness to reach extra information about the topics (library and/or internet)
- Plagiarism and cheating
GRADING CRITERIA
A
(Excellent)
~85% and above
(Good)
~70% and above
70-74:B, 75-79:B+, 80-84:A-
Excellent understanding of the concepts and the principles as
demonstrated by correct and accurate knowledge and application
of theory/laws in solving problems. Response to problems is
clear, legible, concise and accurate. Excellent performance.
Better than average understanding of the concepts and the
principles as demonstrated by correct and accurate knowledge
and application of theory/laws in solving problems, but doesn't
have the depth and outstanding quality of an "A". Response to
problems is fairly clear, legible, but occasionally contains some
inaccuracies. Performance exceeds the minimum requirements
(Average)
~60 % and above
60-62:C, 63-65:C+, 66-69:B-
(Barely sufficient)
~50% and above
50-52:D, 53-55:D+, 56-59:C-
(Fail)
Below 50%
0-34:F, 35-49:DNG
nil grade
An average understanding of the concepts and the principles as
demonstrated by reasonably correct knowledge and application of
theory/laws in solving problems, but doesn't have any depth.
Response to problems is reasonably clear, legible, but contains
inaccuracies. It reveals a sufficient understanding of the material,
but lacks depth in understanding and approach/application.
Content and form don't go beyond basic expectations and/or
display some substantial errors. Acceptable but non-exceptional
performance that doesn't go beyond the minimum requirements.
Minimal knowledge and barely sufficient understanding of the
concepts and the principles as demonstrated by approximately
correct application of theory/laws in solving problems. Response
to problems is not very clear and is barely legible, and contains
many inaccuracies. It reveals a minimum (confused)
understanding of the material, and lacks depth in understanding
and approach/application. Content and form do not adequately
meet the basic expectations, and/or display significant errors.
Performance demonstrates severe problems in one or more areas.
Work does not meet the most minimal standards. It reveals no
understanding of the material, lack of basic academic skills and
knowledge, or completely incomprehensible writing.
Performance is not acceptable
Conditions that might lead to NG grade.
Totally absent in classes and exams
RELATIONSHIP WITH OTHER COURSES
The methods mentioned in the course will help the students to understand the discussions and comments in
other courses about business and economics
LEARNING / TEACHING METHOD
Reading and analysing lecture notes, class discussions, extra works on text exercises (odd numbered ones have
answers), quizzes and tutorials.
ASSIGNMENTS
Extra problem sheets can be provided to the students for their practice addition to the exercises assigned in the
classes.
METHOD OF ASSESSMENT
Midterm examination
:
30%
2 Quizzes + 2 Homeworks (3 out of 4) :
30%
Final Exam
:
40%
ATTENDANCE
Attendance is required. Students are responsible not only for the material presented and discussed, but also for
any announcements made in class. Poor attendance may result NG grade
TEXT BOOK/s
Introductory Mathematical Analysis, by Haeussler and Paul, 10th (or newer) edition, Prentice Hall.
INDICATIVE BASIC READING LIST
Different textbooks about business mathematics to enrich the possible cases
EXTENDED READING LIST
Check the old exam/quiz papers from the related web page
SEMESTER OFFERRED
2008-2009 Spring Semester
CONTENT & SCHEDULE
Lectures will be held on
Tuesday’s (14.30-16.20) in CLA23 and Thursday’s (12.30 - 14.20 ) in CLA22 for group 01.
Wednesday’s (14.30-16.20) in CLA23 and Friday’s (08.30-10.20) in CLA22 for group 05.
Tuesday’s (14.30-16.20) in CL203 and Thursday’s (12.30 - 14.20 ) in CL203 for group 02.
Wednesday’s (14.30-16.20) in CL111 and Friday’s (08.30-10.20) in CL114 for group 04.
The lecture topics within the semester are as in the following schedule:
WEEK
1
DATE
March 02-08
2
March 09-15
3
March 16-22
4
March 23-29
5
March 30- April
05
6
April 06-12
7
April 13-19
8
8-9
10
April 20-22
April 24- May04
May 05-10
11
May 11-17
12
13
May 18-24
May 25-31
14
June 01-05
15
16
June 09-23
June 23-26
TOPICS
6.1 Matrices
6.2 Matrix Addition and Scalar Multiplication
6.3 Matrix Multiplication
6.6 Inverses
6.7 Determinants
6.8 Cramer’s Rule
11.1 Limits
11.4 Continuity
12.1 The Derivative
12.2 Rules for Differentiation
12.3 The Derivatives as a Rate of Change
12.5 Product and Quotient Rule
12.6 The Chain and The Product Rule
13.1 Derivatives of Logarithmic Functions
13.2 Derivatives of Exponential Functions
13.5 Higher – Order Derivatives
14.1 Relative Extrema
14.2 Absolute Extrema on a Closed Interval
Quiz#1: on 09/04/2009 for gr. 01,02 and on 10/04/2009 for gr 04,05
14.3. Concavity
14.4 The Second Derivative Test
HW#1
15.1 Applied Maxima and Minima
Midterm Examinations Period
15.3 Elasticity of Demand
19.2 Functions of several variables and partial derivatives
19.3 Applications of Partial derivatives
19.5 Higher – Order Partial Derivaties
19.6 Maxima and Minima for Functions of Two Variables
19.8 Lagrange Multipliers
16.1 The Indefinite Integral
16.2 Integration with Initial Conditions
16.6 The Definite Integral
Quiz#2: on 28/05/2009 for gr. 01, 02 and on 29/05/2009 for gr 04,05
HW#2
16.7 The Fundamental Theorem of Integral Calculus
16.8 Area
16.10 Consumer’s Surplus and Procucer’s Surplus
Final Examinations
Make Up Examinations
PLAGIARISM
Individual accountability for all individual work, written or oral. Copying from others or providing answers or
information, written or oral, to others is cheating. Providing proper acknowledgment of original author. Copying
from another student’s paper or from another text without written acknowledgement is plagiarism. According to
University’s bylaws cheating and plagiarism are serious offences resulting in a failure from exam or project and
disciplinary action (which includes an official warning may appear in student’s transcript or/and suspension from
University for up to one semester).
ANY OTHER USEFUL INFORMATION (SUCH AS STUDIO RULES, MAKE-UP EXAMS, STUDENTS’
RESPONSIBILITIES, EQUIPMENT OR MATERIAL NEEDED, SITE TRIPS, ETC.)
Attendance is compulsory. Students with poor attendance and not attended the exams will receive NG grade.
General makeup for the exams will be given at the end of the semester. A student missed any of these exams
and submitted a reasonable excuse on time will be allowed to sit in the makeup exam which will cover whole
topics. There will be no make up for missed quizzes.