Identification
Prerequisites
Language
Compulsory/Elective
Required textbooks and
course materials
Subject
(code, title, credits)
Department
Program
(undergraduate,
graduate)
Term
Instructor
E-mail:
Phone:
Classroom/hours
MATH 101: Calculus - 3KU/6ECTS credits
Economics and Management
Undergraduate
Fall 2015
Nigar Aslanova
nigar.aslanova@yahoo.com
Tuesday 10:30-11:50 Room 407
41 Mehseti street (Neftchilar campus), Khazar University
Office hours
None
English
Compulsory
Core textbook:
[1] Calculus and Its Applications by Larry J. Goldstein, 12 ed. UK: Pearson Higher
Education, 2010
[2] Anton Howard.Calculus with Analytic Geometry, 4th ed., 1992.
Supplementary textbook:
2. Frank S. Budnick, Applied Mathematics for Business, Economics, and The Social Sciences,
McGraw-Hill, 1993.
3. Margaret L. Lial, Thomas W. Hungerford.Mathematics with Applications: in the
Management, Natural, and Social Sciences, 7th Edition,1999.
4. 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:







Learning outcomes
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.
By the end of the course the students should be able:









Teaching methods
Write equations of the straight lines and curves
Find limits and derivatives of the functions
Investigate graphs of the functions
Find maxima and minima of the functions
Find indefinite integrals and evaluate definite integrals
Apply definite integrals to area problems
Investigate series for convergence and evaluate their sums
Find partial derivatives of the functions of two or more variables
Find relative max and relative minima of the function of two variables
Lecture
Group discussion
Experiential exercise
X
X
Evaluation
Policy
X
Case analysis
Simulation
Course paper
Others
Methods
Date/deadlines
Percentage (%)
25
Midterm Exam
Case studies
10
Class Participation
25
Assignment and quizzes
Project
Presentation/Group
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.
Wee
k
Tardiness/ other disruptions
Date/Day
(tentative)
1
21.09.2015
2
28.09.2015
3
05.10.2015
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
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.
Antiderivatives; the indefinite integral. Properties of the indefinite
integral. Techniques of integration. Integration by substitution.
[1] Ch. 0
[2],p.106-146
[1] Ch. 1
[2],p.174-198, 206-211
[1] Ch. 9
Quiz 1
Integration by parts.
4
12.10.2015
5
19.10.2015
6
26.10.2015
7
02.11.2015
8
9
09.11.2015
16.11.2015
10
23.11.2015
11
30.11.2015
12
07.12.2015
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. 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.
Holiday
Midterm Exam
Alternating series. Absolute and conditional convergence. The
ratio test for absolute convergence. Power series. Radius and
interval of convergence.
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.
[2], p.324-338, 556-560
[1] Ch. 6
[2], p.355-374
[2], p.642-662
Quiz 2
[1] Ch. 11
[2], p.662-684
[2], p.693-710
[2], p.711-721
[1] Ch. 11
Quiz 3
[1] Ch. 7
[2], p.972-1000
13
14.12.2015
Relative maxima and minima of functions of two variables, saddle
points. Test for maxima and minima.
[2], p.1052-1058
14
21.12.2015
15
16
28.12.2015
Finding absolute extrema on closed and bounded sets. Relative
extrema for functions of three or more variables.
Iterated integral/ Double integral
Final Exam
[2], p.1059-1063
Quiz 4
[2], p.1076-1096