BUS135 Course Outline PDF

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School of Business and Economics Department of Management Spring 2021 BUS 135: Applied Business Mathematics Section: 8 Professor M Amzad Hossain

Course Teacher Office Course Class Time Prerequisite(s) Course Credit Hours Office Hours Course Description

Classroom Email

Course Objectives

Student Learning Outcomes

Math 112 (if not waived)/Freshman 1:00-2:30 3.0 TBA This course is designed to introduce the applied mathematical tools in business. It addresses various basic mathematics,NAC such 201 as solutions to a system of simultaneous linear equations, linear programming; limit, continuity, and [email protected] Cell: 01711103844 derivatives of single and multi-variable functions; minimization and maximization of single and multi-variable functions with and without constraints; indefinite and definite integrals and first order differential equations. This course would facilitate students with the tools/techniques used in making an optimal decision in business. • To understand basic business mathematical tools/techniques. • To understand the major challenges and issues in business faced by organizations in developing and implementing optimal decisions. • To understand the benefits that can accrue from implementing effective optimal Decision making in various areas of business. Upon successful completion of this course, a student will be able to learn: • how to solve a system of simultaneous linear equations • graphical solution method of solution to a linear programming problem • how to find the limit of a function • about continuity of a function • how to find the first and the second derivatives of a function • how to minimize or maximize a single and multivariable functions with (equality constraint) and without constraints • how to evaluate indefinite and definite integrals • how to form and solve first order differential equation

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Textbooks 1. Introduction to Mathematical Economics by Edward T. Dowling (Required) 2. Fundamental Methods of Mathematical Economics by A C Chiang (Supplementary) ASSESSMENT STRATEGY AND GRADING SCHEME Course Evaluation % contribution towards the Grading categories final grade Quizzes 15% Mid-term 1 Exam 20% Mid-term 2 Exam 25% Final Exam 30% Attendance & Participation 10% and Assignment Total 100%

Grading Policy NSU’s grading and performance evaluation policies will be followed in assigning your grade. However, I reserve the right to make necessary changes if needed. Please note that all final grades are subject to departmental review and approval. Classroom Code of Conduct: 1. The ground rule for our class is respectful, open communication. We have many things to learn from one another. Every single question is appreciated! 2. When you come to the class, you become part of a learning community. Please be conscious of your community role, and work toward creating a healthy learning atmosphere in the class. Never disrespect any person, community, any religious view or any personal views. 3. Be on time for class and don’t chat with friends during the class. 4. While in class, please switch off your cell phone. Inability to do so may result in some penalty. 5. You must seek permission before using any sort of electronic gadget in the class such as a laptop. Use of such gadgets for purposes other than note-taking during lectures is strictly prohibited. Exam Policy and Rules:      

There will be two midterm examinations, 3/4 quizzes, and a final examination. If needed I will provide assignments depends on class standing. You will receive a grade of zero for a missed exam. There will be no makeup exams unless a very critical incident takes place. Remember, there will be no opportunity for extra credit. Absence in the final exam may result in F grade. Examination schedule will be announced in time including class quizzes. There will be no surprises quizzes. For evaluating the final grade for only quizzes, the lowest test grade will be dropped. Before each exam, I will give a review session of at least half an hour. (Probably in Last class before each exam). You must bring your own pencil, pen, eraser, calculator and any other permitted items that you may need in the exam and you are allowed during the tests and exam. Being late does not necessarily guarantee that you are going to get extra time for writing your tests and exam.

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Any unfair means adopted in the tests and exam will be seriously dealt with. Academic misconduct or failure to comply with NSU Examination Code of Conduct may result in F. (Such as copping from notes, using mobile phones during the exam, and any cheat sheet, write something on hand etc.)

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You can come to see me in my office hour if you have any course related problems but please make sure that you must be in my office fifteen minutes before the end of the office hour to effectively discuss your questions. When emailing me, at the end of the message, include your full name and student ID#. The subject must always include: “BUS 135” and a brief description of the problem such as “appointment”, “missed class” etc. Emails without these requirements will not be responded to. Emails sent or received during the weekends/ breaks/ holidays/ after evening are responded the next working day. You must come prepared for all your exams. You must come on time.

Course Contents &Schedule Tentative Lecture Schedule Lecture No. 1

Topic Introduction to Matrix (how to form matrix from system of linear equation) Matrix addition, subtraction, and multiplication (both scalar and vector multiplication).

Refereed Chapter (Dowling) Chapter 10

2

Determinant of Matrix, Solutions to the system of linear equations by Cramer’s Rule by 2x2 matrix and 3x3 matrix.

Chapter 11

3

Introduction of Function, range, and domain, rational and polynomial function. Explanation of Limit, the limit of functions and their graphical representation; left- and right-hand limits; explanation of continuity of functions by example problems. How limit is used in differentiation. Definition of the first derivative of a single variable function and its explanation as for its slope and rate of change at a point;

Chapter 2.3, Chapter 2.4. (Alpha C. Chiang) Chapter 3

5

Introduction to the first derivative formulas with examples (Power Function Rule, SumDifference Rule, Product Rule, Quotation Rule, Generalized Power Rule, Chain Rule, and Implicit Function Rule)

Chapter 3

6

Definition of convex and concave functions. Illustration of single variable convex and concave functions by using the

Chapter 4

4

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7

8

9 10 11

12 13 14

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16 17 18 19 20

second derivative of the concerned function Necessary and sufficient condition for the optimization of a single variable function Single variable optimization. Application of single variable optimization to business problems by the method of differentiation. Single variable optimization. Application of single variable optimization to business problems by the method of differentiation Mid Term I Exam Introduction of Partial Derivatives, rules of partial derivatives with example. Optimization of two variables, three conditions of two-variable optimization: unconstrained optimization. Application of unconstrained optimization in economic function for two variables. Constrained optimization of two variables with Lagrangian function. Application of constrained optimization of two variable. Introduction of Differentials, Total and Partial Differential, Total derivatives, Implicit function and inverse function rule. Introduction of Hessian matrix for two and three variable for unconstrained optimization. Introduction of Hessian matrix for two and three variable for constrained optimization. Mid Term II Exam Optimization of Logarithmic Function and Optimal Timing Problem Optimization of Logarithmic Function and Optimal Timing Problem Definition of integration, Integration by substitution

Chapter 4

Chapter 4

Chapter 5 Chapter 5

Chapter 6 Chapter 5 Chapter 5, 6.

Chapter 12

Chapter 12

Chapter 9 Chapter 9 Chapter 14

21

Integration by parts

Chapter 14

22 23 24

Application of Integration Evaluation of definite integrals Application of Definite Integral Final Exam by NSU schedule

Chapter 14 Chapter 15 Chapter 15

Note: The instructor reserves the right to make changes to the syllabus if necessary. Page 4 of 4 - North South University

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