Quantitative Methods for Business I ECON-2070 Pre-Summer 2013 Instructor: Dr. Jafar Alavi, Professor of Economics and Larry Trung La Faculty Fellow Office: Room 340 Sam Wilson Hall Tel: 423-439-4455 E-mail: drjalavi@etsu.edu Prerequisite: Math 1530 (Probability and Statistics) or equivalent I. Objective and Brief Description: The objective of this course is to acquaint the business students with the terms and quantitative methods used to describe business and economic data. This course will provide some of the necessary quantitative tools needed by our students to further study in the business related fields. This is the first course in a two-course sequence, which places emphasis on the quantitative methods for the analysis of business and economic data. The course is divided into three sections. The first section concentrates on review of algebra and some simple linear models. The second section deals with functions, where we discuss among the topics, special functions such as Quadratic and Polynominal functions. We will also have a brief introduction of calculus, where we discuss limits, derivatives and derivatives rules. In the last section of this course we cover application of derivative including topics on increasing and decreasing, relative and absolute extrema, and second derivative. Learning Outcomes: Upon the completion of this course (Econ 2070: Quantitative Methods for Business I), students should be: Able to understand basic mathematical concepts such as exponents, roots, factoring, solving equations, and solving inequalities. Able to apply mathematical and algebraic concepts such as linear and quadratic functions to business and economic problems. Able to apply the Gauss-Jordan method to solve linear systems of business and economic problems such as investments and scheduling. Able to apply simple calculus concepts such as limits and derivatives to business and economic problems. Able to translate real-life business problems to appropriate mathematical formats for analysis and problem solving. Able to understand optimization problems (i.e., maximization, or minimization) as it applies to revenue, cost, and profit and other economic concepts. II. Required Textbook: Tan, Applied Mathematics for The Managerial, Life, and Social Sciences, 5th ed. Thomson Brooks/Cole, Cengage, 2010. ISBN: 978-0-495-56002-9 Students have several options: Option #1: Purchase the custom package of the book w/ Enhanced Web Assign access from the bookstore. Option #2: Purchase the Enhanced Web Assign code w/ eBook option from the bookstore. Option #3: Purchase the Enhanced Web Assign code w/ eBook option direct from publisher’s website: www.cengagebrain.com. ISBN: 0-538-73810-3. The cost is $65 + Tax. Option # 4: Purchase the Enhanced Web Assign code w/ eBook option direct from website: www.Webassign.com. ISBN: 0-538-73810-3. The cost is $75 + Tax. III. To Enroll into Webassign: (See attached document on student registration instructions) Log into: http://www.webassign.net/ >> Click on I Have a Class Key >> Enter class key: etsu 4166 6107>> Submit I will use webassign for assignments. You will have several days to finish the homework from each section. I will not open these exercises after its due day. Don’t wait until the last minutes to do the homework; start early so there is time to have your questions answered. You have several resources available to you in this course. IV. Homework Problems: After each section a set of problems will be assigned as homework. Students should log into www.webassign.net for the list of homework assignments. Please not that each homework assignment will have a due date. Your grade on the homework assignments will count as twenty (25) percent of your final grade. IV. Examinations: Three in class examinations are schedules for this course (see the Tentative Syllabus). Each examination counts as 25 percent of your final grade. Your exams should be complete with all the steps you had to take in solving each problem. V. Make-up Examinations: Make-up exams will only be given in extreme case of emergency. If you have to be absent from a regularly scheduled exam due to illness or other emergencies you need to make arrangements for a make-up exam in advance. If you cannot, contact me or call the secretary (439-4202) and leave a message. VI. Grading: The tentative breakdowns for final grades are as follows: A AB+ B B- 92 – 100 90 – 91.9 88 – 89.9 82 – 87.9 80-81.9 C+ C CD+ D F 78 – 79.9 72 – 77.9 70 – 71.9 68 – 69.9 60 – 67.9 Below 60 Class participation is encouraged since it might affect your final grade if it is on borderline. VII. Course and Classroom Policies: a. You are expected to attend all class meetings, to arrive on time, and remain until the end of the class meeting. b. You are expected to come to each class prepared. c. Your final grade is comprised of: your three exams, homework, and class participation. There are no other ways of earning or improving your grade. d. Academic misconduct will not be tolerated. Incidents of alleged plagiarism or cheating will be prosecuted in accordance with applicable College of Business and University Policies. e. The grade of “incomplete” is given only when a student is unable to complete the course for nonacademic reasons. The grade of “incomplete” will not be assigned to improve your grade. f. Refrain from engaging in personal conversations during the class period. g. Please turn off your cell phones. TENTATIVE SYLLABUS Chapter/Section Topic 1 Review 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 Real Numbers Polynomials Factoring Polynomials Rational Expressions Integral Exponents Solving Equations Rational Exponents and Radicals Quadratic Equations Inequalities and Absolute Value 2 Functions and Their Graphs 2.1 2.2 2.3 2.4 2.5 2.6 2.7 The Cartesian coordinate system and Straight Lines Equations of Lines Functions and Their Graphs The Algebra of Functions Linear functions Quadratic Functions Functions and Mathematical Models 5 Systems of Linear Equations and Matrices 5.1 5.2 Systems of Linear Equations: An Introduction Systems of Linear Equations: Unique Solutions 9 The Derivative 9.1 9.3 9.4 9.5 9.6 9.8 Limits The Derivative Basic Rules of Differentiation The Product and Quotient Rules; Higher Order Derivatives The Chain Rule Marginal Functions in Economics