MATHEMATICS FOR BUSINESS Unit Guide Trimester 1 2019 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 About Mathematics For Business (MAT101) CONTACTS Unit Instructor Program Administrator Nguyen Thi Thu Van van.nguyen@isb.edu.vn, nttvan_2002@yahoo.com Vi Do 17 Pham Ngoc Thach Street, District 3, HCM City Phone: 08 54465555 (Ex: 124) Email: vi.do@isb.edu.vn UNIT OVERVIEW This unit provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and in the life and social sciences. Topics include calculus, linear algebra, and mathematics of finance. PRE-REQUISITES None Page | 1 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 Assessment Information UNIT LEARNING OUTCOMES The table below outlines the unit learning outcomes (ULOs) for this unit. Upon completion of this unit, students will be able to: 1. Understand mathematical concepts 2. Create and develop mathematical computation skills involving calculus, linear algebra, and finance 3. Understand and interpret functions as relations quantities in mathematics context: symbolic, numerical and graphical representations 4. Develop critical thinking and problem-solving skills that enable students to solve practical problems in a variety of applied situations 5. Develop a knowledge base for applications of finance: calculate compound interest, principal, interest rate; use compound interest to calculate accumulated amount; find the present value of an investment; calculate the payments of a sinking fund and amortization schedules; and assess an investment 6. Model some simple practical problems under the form of mathematical programming. Solve linear programming using geometric method and simplex method 7. Apply the course material along with techniques covered in this course to solve business related problems 8. Develop special skills and thought processes sufficient to support further study or work in related units PROGRAM LEARNING OUTCOMES In line with its focus on assuring students’ skills in unit learning outcomes 1- 8 above, this unit is also responsible for introducing/developing/assuring the following program-level learning outcomes (PLOs): Knowledge & Application ASSESSMENT SUMMARY 1. Solid understanding and competency of appropriate application of business disciplinespecific knowledge. Communication 2. 3. 4. Competency in professional written and oral communication suited to multiple audiences and contexts. Critical thinking Critical thinking through appropriate observing, analyzing and reasoning, etc. Problem solving Effective and constructive problem solving. Page | 2 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 ASSESSMENT ITEM DUE DATE VALUE (%) LEARNING OUTCOMES 1. Project assignment (group) 20% LO 1-8 2. Class participation & Homework 10% LO 1-6 3. Midterm exam (individual) (60 minutes) Session 8 20% LO 1-5 5. Final exam (Individual) (90 minutes) TBA 50% LO 1-8 Final marks and grades are subject to confirmation by the School Assessment Committees which may scale, modify or otherwise amend the marks and grades for the unit, as may be required by University policies. Note: To successfully complete this unit, students must: Achieve a minimum of 50 marks; Complete all assessment items (including making a satisfactory contribution to group work); and Attend 80 per cent of class time. See attendance requirements in the section of class policies and rules below. Assessment 1: Project assignment (group) (20%) Due: Ongoing throughout the duration of the course. Length: The projects will be given 3 weeks before the deadline. The project will be a practical problem involving the topics that students will have learned. We encourage students work in teams (maximum of 5 students per a project). Marking criteria and standards The marking is based on group presentations in which estimation results and interpretations or explanations are provided, with the weight indicated in the assignment. Assessment 2: Class participation & Homework (10%) Due: Ongoing throughout the duration of the course. Length: Homework will be given at the end of each lesson. Class participation includes coming to class prepared and on time, having read the material for that day, taking part in short tests and class discussions (this involves listening/reading as well as writing/speaking and completing all in-class activities), asking questions, contributing your knowledge and insights in whatever form is appropriate, and striving to make all your contributions excellent. It also includes doing the required reading and writing for each class. Page | 3 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 Students will be chosen randomly to the board to present their works at each beginning or ending of each lesson. Marking criteria and standards Student should demonstrate full knowledge by answering all questions with explanations and elaboration. Assessment 3: Midterm exam (20%) Due: Session 8 Length: 60 minutes The content of chapters 1, 2, and 3 will be assessed. Marking criteria and standards Student should demonstrate full knowledge by answering all questions with explanations and elaboration. Assessment 4: Final exam (Individual) (50%) Due: TBA Length: 90 minutes The final exam will cover all contents of the course and include only essay-based questions. Students are allowed a scientific calculator and one double-sided sheet of reference material (size A4 or similar) with their own writing. Marking criteria and standards Student should demonstrate full knowledge by answering all questions with explanations and elaboration. Page | 4 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 Teaching Activities LEARNING RESOURCES Textbook Haeussler E., Paul R., and Wood R (2014). Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences (13th ed.). Pearson. Reference Reading N/A ONLINE LEARNING RESOURCES Information center of the textbook http://highered.mheducation.com/sites/0073521485/student_view0/index.html E-library http://search.proquest.com/login Username: UEHCMC2010 Password: thuvien0810 E-learning http://elearning.isb.edu.vn/ SCHEDULE OF ACTIVITIES Session 1 TOPICS Chapter 0. Getting started REQUIRED ASSIGNMENTS/READING Chap zero and 1 1. Sets o What is a set? o Operations on sets o Some special sets 2. Real numbers o Real number line o Absolute value - Triangular inequalities o Exponents and Radicals o Factorizations worth remembering o Newton’s binomial theorem Page | 5 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 o Algebraic expressions o Equations – Linear equations – Quadratic equations o Applications of Equations/Inequalities Some terms that students need to remember after ending over this chapter are fixed cost, variable cost, total cost, total revenue, and profit. In addition to these, modeling is also an important term. Exercices : pages 48, 49, 57(numbered at the top of each page) 2, 3 Chapter 1. Mathematics of Finance Chap 5 1. Percentage 2. Sequences and Geometric Series 4, 5 3. Simple Interest and Compound Interest Pages 212 + 213 4. Present value Pages 216 + 217 5. Annuities Pages 219 + 220 6. Amortization of loans Page 227 + 228 7. Perpetuities Pages 231 + 232 Chapter 2. Matrix Algebra Chap 6 1. Matrices – Operations with matrices 2. Inverse matrix 3. Rank of a matrix 4. Determinant 5. System of linear equations 6, 7 Chapter 3. Linear Programming Chap 7 1. Geometric method 2. The Simplex method 8 Chapter 4. Functions, Limit, and Continuity 1. Functions Chap 2 + 3 + 4 + 10 Exercices: Page | 6 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 Page 86: 1 -> 24 + 45 + 46 Page 90: 9 -> 12 and 29 -> 33 Page 106: 21 -> 39 Page 147: 13 -> 26 + 29 -> 33 89 2. Limits Exercices: pages 467 + 468 3. Continuity Exercices: page 481 + 482 4. Functional models Here are some business terms students need to remember : demand function, supply function, revenue function, cost function, profit function Chapter 5. Differentiation: Basic Concepts Chap 11 + 12 + 13 1. Two central problems: tangent problem and velocity problem 2. Derivative Page 507 3. Applications of Derivatives Page 590 Curve sketching Absolute extrema on a closed interval Concavity 4. Applications to Economics 10 Rates of change Related rates Marginal Analysis Point of Diminishing returns Price Elasticity of Demand Page 587: 53—64 Page 596: 35—62 Page 599 Pages: 516, 517, 533, 535, 536, 555 After studying this chapter students should be able to solve exercises in pages from 616 to 620 11, 12 Chapter 6. Partial differentiation Chap 17 1. Partial derivatives 2. Unconstrained optimization problems Page 775 Page | 7 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 3. Lagrange multiplier Page 783 4. Applications to economics 13, 14 Chapter 7. Integration Chap 14 + 15 1. Area of a flat region – Definite integrals 2. Integration by changing variables and integration by parts 3. Improper integration 4. Applications to economics 15 Page 683+ 686 Review Tutorials Tutorials following the lecture in each session provide students the opportunity to apply and share knowledge by doing a variety of in-class activities individually or in group such as exercises, discussion, and presentation. These activities focus on demonstrating your skills and help you build your ability to achieve the learning outcomes for this unit. Tutorial questions/exercises will be provided in class.You will be expected to have completed specific reading and exercises from the textbook and other required materials prior to attending each lecture and tutorial class. If you have not prepared adequately, you will not get the full benefit from this learning opportunity. Page | 8 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 General Information & Policy Referencing Plagiarism Student assignments are to contain original content created by the students. Assignments will be rejected if they include plagiarised content or contain excessive amounts of quoted/cited material and minimal original content. Students will receive a grade of ZERO (0%) for any assignments rejected for this reason. Written assignments WILL BE checked by the lecturer with Turnitin.com, an online plagiarism-checking tool. Sources Furthermore, your reference to support your statements must be from a reliable source, such as textbooks, additional reading materials, and reference books. However, many websites are not reliable sources. Examples are Wikipedia.org, about.com, and ask.com. If you are not sure if a reference is acceptable or not, please contact the lecturer. Referencing & Citation The Publication Manual of the American Psychological Association (APA) 6th ed., will serve as the primary reference materials for all students. Therefore, all papers must be submitted in APA format. The mechanics of student papers and work will be evaluated, as well as the content. Submission Assignment cover sheet All assignments are required to be submitted with an Assignment Cover Sheet. Group assignments are to be submitted with a Group Assignment Cover Sheet as well as a Peer Evaluation Form depending on the request of unit instructor. Non-contributing team members can sometimes be an issue with group-work structured assessment. Individual student group work scores may be adjusted as a result of peer dissatisfaction with a particular student’s contribution to group work assignments, as reflected in submissions of the evaluation form. Note: Assignment cover sheets and the evaluation form can be located on MyISB system Students are advised to keep a copy of all assignments submitted for marking. Submission style Assignments are expected to achieve a professional standard: Be typed, one and a half spaced, on A4 paper Use a simple clear format, suitable for a report to senior management in a commercial organisation. Submission method Page | 9 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 Soft copy: submitted electronically via E-learning system by 11:55 PM on the due date (Suggested title: Student name_Unitname_Name of Assignment). Hard copy: submitted to ISB Submission Box at the Reception Area (17 Pham Ngoc Thach) by the due date. Late assignment and make-up policy No late assignments will be accepted unless prior authorisation granted by the Academic Department based on a Special Consideration Application for assessment task extension. Students must complete all assessments on the assigned dates including quizzes, midterm test, and final exam. If there are extenuating or unforeseen circumstances, students must follow the school’s policies and procedures accordingly. Attendance Students are required to attend a minimum of 80% of all classes (which normally 12/15 sessions). Other cases equating to an absence: Arriving to class late by 15 minutes at the beginning, Arriving late by 5 minutes after the break Leaving prior to the scheduled end time without the permission of the lecturer If you are unable to attend any session, please let your lecturer know AND submit a request for absence form to program administrator prior to the session. IMPORTANT: Students will not be allowed to sit in the final examination if violating the above absence rule. Electronic device use Cell phones will be turned off or switched to vibrate mode before class starts. No phone calls or text messaging are allowed inside classroom during class time. Portable listening and/or music devices may not be operated in the classroom. Headphones and/or ear buds of any type may not be worn while in the classroom whether operating or not. Laptop and other electronic devices are not permitted unless specifically authorised by the lecturer exclusively for note taking and doing class work. IMPORTANT: If you are in violation of these policies you will be excused from class and an absence will be assessed. Email etiquette Your lecturers receive many emails each day. In order to enable them to respond to your emails appropriately and in a timely fashion, students are asked to follow basic requirements of professional communication. Your emails should: Page | 10 MAT101 – MATHEMATICS FOR BUSINESS TRIMESTER 1 2019 Have a concise and descriptive title, including the class and name of the unit you are enquiring about Be clear about the intention of their emails Use appropriate tone and language, proof-read what is written in the email before sending it. Students should also allow 3-4 working days for a response before following up. If the matter is legitimately urgent, you may indicate “URGENT” in the email subject header. Make an appointment: If your email request is complex and requires a lengthy response it may be probably best to make an appointment with your lecturer/instructor to meet in person. Student behaviour guidelines Everyone must behave professionally. Students are expected to demonstrate respect for teacher and fellow students at all times. Behaviour that is disruptive to a positive learning environment reported to the teacher will result in a warning on the first instance; the second instance might result in a failing grade along with expulsion from the school. Unacceptable behaviors can be: Cheating on an exam Collaborating with others on work to be presented, if contrary to the stated rules of the course Submitting, if contrary to the rules of the course, work previously submitted in another course Knowingly and intentionally assisting another student in any of the above actions, including assistance in an arrangement whereby work, classroom performance, examination, or other activity is submitted or performed by a person other than the student under whose name the work is submitted or performed Plagiarising IMPORTANT: First violation will result in a grade ZERO (0%) for that assignment. Second violation will result in a failing course grade. Disability support services Students with disabilities are advised that accommodations and services are available at UEH-ISB. It is the student's responsibility to contact UEH-ISB office and submit appropriate documentation prior to receiving such services. Additional information This unit guide may be revised at the discretion of the Academic Department with approval from Program Academic Director and School Academic Committee where appropriate. Page | 11