Identification
Prerequisites
Language
Compulsory/Elective
Required textbooks and
course materials
MATH 101: Calculus (1)- 3KU/6ECTS credits
Subject
(code, title, credits)
Economics and Management
Department
Undergraduate
Program
(undergraduate,
graduate)
Fall, 2013
Term
Ziya Shimiyev
Instructor
Ziya544@yahoo.com
E-mail:
Phone:
Bashir Safaroglu 122, Room -42,WDN 18:30-21:00
Classroom/hours
Office hours
None
English
Compulsory
Core textbook:
[1] Calculus and Its Applications by Larry J. Goldstein, 12 ed. UK: Pearson Higher
Education, 2010
[2] Calculus for Business, Economics, Life Sciences, and Social Sciences by Raymond A.
Barnett, Michael R.Ziegler, Karl E. Byleen , 11th ed.,2008.
Supplementary textbook:
3.John Buglear, Quantitative Methods for Business, 2005, Elsevier Butterworth Heinemann,
available in pdf.
4. Frank S. Budnick, Applied Mathematics for Business, Economics, and The Social Sciences,
McGraw-Hill, 1993.
5. Margaret L. Lial, Thomas W. Hungerford. Mathematics with Applications: in the
Management, Natural, and Social Sciences, 7th Edition, 1999.
6. Ronald J. Harshbarger, James J. Reynolds. Mathematical Applications for Management,
Life, and Social Sciences, 9th edition, 2009.
Course website
Course outline
Course objectives
A wide variety of problems from business, the social sciences may be solved by using
mathematical models. Managers and economists use equations and their graphs to study costs,
sales, national consumption, or supply and demand. Numerous applications of mathematics are
given throughout the course
Throughout the course the students should develop and maintain the following skills:
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Learning outcomes
Teaching methods
Evaluation
analytical thinking
ability to analyze functions, to find limits of the functions, to determine their continuity
finding the derivatives of different functions
determining maximum and minimum of the function
evaluating the definite and indefinite integrals of functions
finding the areas between different simple curves
evaluating the sum of series using appropriate techniques
solving simple optimization problems for functions of two or more variables.
Lecture
Group discussion
Experiential exercise
Case analysis
Simulation
Course paper
Others
Methods
Midterm Exam
Case studies
Class Participation
Assignment and quizzes
Project
Presentation/Group
X
X
X
Date/deadlines
Percentage (%)
20
10
20
10
Discussion
40
Final Exam
Others
100
Total
Attendance:
The students are required to attend all classes as part of their studies and those having legitimate
reasons for absence (illness, family bereavement etc) are required to inform the instructor.
Generally, four (4) unauthorized absence marks will lead to the students’ expulsion from the
course.
Policy
Week
Tardiness/ other disruptions
Date/Day
(tentative)
1
18.09.2013
2
25.09.2013
3
02.10.2013
4
5
09.10.2013
16.10.2013
6
23.10.2013
7
8
30.10.2013
06.11.2013
If a student is late to the class for more than ten (10) minutes, s/he is NOT allowed to enter and
disturb the class. However, this student is able to enter the second double hours without
delaying.
Preparation for class
The structure of this course makes your individual study and preparation outside the class
extremely important. The lecture material will focus on the major points introduced in the text.
Reading the assigned chapters and having some familiarity with them before class will greatly
assist your understanding of the lecture. After the lecture, you should study your notes and work
relevant problems from the end of the chapter and sample exam questions.
Throughout the semester we will also have a large number of review sessions. These review
sessions will take place during the regularly scheduled class periods.
Withdrawal (pass/fail)
This course strictly follows grading policy of the School of Economics and Management. Thus,
a student is normally expected to achieve a mark of at least 60% to pass. In case of failure,
he/she will be referred or required to repeat the course the following term or year. For referral,
the student will be required to take examination scheduled by instructor.
Cheating/plagiarism
Cheating or other plagiarism during the Quizzes, Mid-term and Final Examination will lead to
paper cancellation. In this case, the student will automatically get zero (0), without any
considerations
Professional behavior guidelines
The students shall behave in the way to create favorable academic and professional
environment during the class hours. Unauthorized discussions and unethical behavior are
strictly prohibited.
Tentative Schedule
Topics
Textbook/Assignments
Coordinate planes and graphs. Slope of a line. Equations of straight
lines. Distance; circles; equations of the form
Functions. Domain and range of a function. Operations on
functions. Even and odd functions. Graphs of functions.
Limit and continuity of the function. Existence of limits, some
basic limits. Definition of continuous function. Points of
discontinuity. Some properties of continuous functions. Continuity
of compositions. The intermediate value theorem.
The derivative. Definition of the derivative, geometric
interpretation of it. Techniques of differentiation. Derivatives of
sums, of a product and compositions.
Increasing and decreasing functions. Critical points, their
classification. Relative maxima and minima. First and second
derivative tests. Concave up and concave down functions.
Inflection points of function.
Absolute extrema. Finding maximum and minimum values of a
function. Applied maxima and minima problems. Curve sketching.
Midterm Exam
Antiderivatives; the indefinite integral. Properties of the indefinite
[2], p.27-66
[1] Ch. 0
[2],p.70-104
[1] Ch. 0
[2],p.106-146
[1] Ch. 1
[2],p.174-198, 206-211
[1] Ch. 2
[2], p.242-255
[1] Ch. 2
[2], p.270-286
[1] Ch. 9
9
13.11.2013
10
20.11.2013
11
27.11.2013
12
04.12.2013
13
11.12.2013
14
18.12.2013
15
25.12.2013
16
Will be
announced
integral. Techniques of integration. Integration by substitution.
Integration by parts.
Definite integrals. Area under a curve. Properties of the definite
integral. The First Fundamental Theorem of Calculus.
Applications of the definite integral. Area between two curves.
Volumes by slicing, disks and washers.
Infinite sequences and series. Limit of a sequence. Convergent and
divergent sequences. Monotone sequences. Sums of infinite series.
Convergent and divergent series.
Algebraic properties of infinite series. Tests for convergence. The
divergence test. The integral test, the root test, the ratio test.
Alternating series. Absolute and conditional convergence. The
ratio test for absolute convergence. Power series. Radius and
interval of convergence.
Approximating functions by polynomials. Maclaurin polynomials.
Taylor polynomials. Taylor and Maclaurin series.
Functions of two or more variables. Limits and continuity.
Properties of limits. Partial derivatives of functions of two
variables. Higher-order partial derivatives.
Relative maxima and minima of functions of two variables, saddle
points. Test for maxima and minima.
Finding absolute extrema on closed and bounded sets. Relative
extrema for functions of three or more variables.
Final Exam
[2], p.324-338, 556-560
[1] Ch. 6
[2], p.355-374
[1] Ch. 6
[2], p.394-408
[2], p.642-662
[1] Ch. 11
[2], p.662-684
[2], p.693-710
[2], p.711-721
[1] Ch. 11
[1] Ch. 7
[2], p.972-1000
[1] Ch. 7
[2], p.1052-1058
[2], p.1059-1063