SCHOOL OF BUSINESS & ECONOMICS
Department of Economics
Spring 2018
Course Name: Applied Business Mathematics
Course Code: BUS 135; Section: 1
Faculty: Naveen Abedin
Office: NAC 824
Office Hours:
Mid Term I Syllabus
1. Linear Programming: System of linear equations and system of linear inequalities, formulation of linear
programming in business problems and their graphical solutions.
2. Limit: Limit and continuity of single variable functions with reference to business problems.
3. Differentiation: Slope of a single variable function (with an explanation of the first derivative as the rate of
change) and their differentiation (up to chain rule), including examples involving business problems.
Mid Term II Syllabus
4. Application of Differentiation: Convex and concave functions, minimization and maximization techniques
of single variable functions and their applications in solving business problems.
5. Integral Calculus: Definition of integration and its explanation with a business example problem.
Indefinite and definite integrals of functions (up to integration by parts) and their applications in business.
Final Exam Syllabus
6. Differential Equation: First order differential equation and its application in business.
7. Non-linear Optimization: Introduction to non-linear functions and partial differentiation, hessian matrix
and leading principal minors, unconstrained optimization of multi-variable functions, Lagrange multiplier
method of optimization, and their applications to the solutions to business problems.
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Text book
Text Book Reading: Mathematics for Business, Finance and Economics ( by F.M.Wilkes)
Course Evaluation
Grading categories
Quizzes
Mid-term 1 Exam
Mid-term 2 Exam
Final Exam
Attendance & Participation
Total
% contribution towards the
final grade
15% (3 quizzes, each worth 5%)
25%
25%
30%
5%
100%
Make-up Policy
Make-up Midterm Exams will NOT be taken unless the student faces a severe crisis. The students must submit
applications in advance including all supporting documents before appearing for make-up midterm exams.
Make-up for quizzes and final exam are NOT allowed under any circumstances, unless advised by the
authorities.
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Rules of Conduct
Switch off your cell phones when you enter the classroom
If you disrupt or distract the class in any way, the instructor has the right to ask you to leave the classroom.
Repeated misconduct will earn you a one-way ticket to the Proctor’s Office.
BE ON TIME! Your attendance points will be heavily penalized for repeated tardiness.
Please Refer to NSU Student CODE OF CONDUCT at www.northsouth.edu/student-code-of-conduct.html.
Tentative Lecture Schedule
Lecture No.
1
2
3
4
Topic
Solutions to system of linear equations by Cramer’s Rule
Linear inequalities and their graphical representation
Formulation of linear programming problem;
Solution to linear programming problem by graphical solution method
Explanation of Limit, limit of functions and their graphical representation; left and
right hand limits; explanation of continuity of functions by example problems
5
Explanation of Limit, limit of functions and their graphical representation; left and
right hand limits; explanation of continuity of functions by example problems
6
Definition of first derivative of a single variable function and its explanation as its
slope and rate of change at a point; introduction to the first derivative formulas of
algebraic, exponential, logarithmic and trigonometric functions
7
Differentiation of product and quotient of functions, differentiation by chain rule
8
9
10
Partial differentiation; Combination derivative problems
Mid Term I Exam
Definition of convex and concave functions. Illustration of single variable convex
and concave functions by using second derivative of the concerned function
12
Necessary and sufficient condition for optimization of a single variable function
and their illustration by example problems
Optimal solutions to business problems by the method of differentiation
13
Definition of integration as a summation and inverse of differentiation of a function
14
15
16
17
18
Integration by substitution
Integration by parts
Evaluation of definite integrals
11
19
20
21
22
23
24
Mid Term II Exam
Definition of simple first order differential equations and their solutions
Solution to differential equations by using integrating factors; solution to business
problems by using differential equation
Definition of multivariable functions including up to three variables; introduction
to partial differentiation and hessian matrix; leading principal minors of a hessian
matrix
Unconstrained optimization of multivariable functions including up to three
variables
Presentation of non-linear optimization problem with equality constraints and
formation of Lagrangian function and its hessian matrix
Solution to non-linear optimization problem with equality constraints by
Lagrangian multiplier method
Practice class on solutions to non-linear optimization problem with equality
constraints by Lagrangian multiplier method
Final Exam by NSU schedule