Calculus for Business S Y L L A B U S Fall 2017 Course Number: MAC 2233 Course Title: Calculus for Business Classroom: 328 Office Location: 328 Course Instructor: Dr. Zadegan Class Time: M: 6:25-9:05 p.m. Office Hours: M: 5:30-6:25, 9:05-9:30 E-mail: zadegan@fiu.edu Texts: Calculus for Business, Economics, and the social, and life sciences, 11/ed By Hoffmann and Bradley, McGraw Hill Publishing. Topics to be covered: o Functions and their graphs with applications in business, o Limits and continuity with applications in business, o Differentiations and their applications in business, o Exponential and Logarithmic functions with applications in business, o Integrals with applications in business, o Functions of two variables with applications in business. Math Lab (Learning Center): Students who have difficulty completing homework assignments and/or score below 60% on exams must attend the learning center (ACI-160) in the North Campus and on the first floor of the library in the South Campus to study with the tutors. The complete solutions to the exercises are posted on the Internet at (w3.fiu.edu/math). Do not try to memorize the solutions to the exercises. Students may need to do the exercises several times to learn the concepts. Goal: Learn Calculus for Business. Course Outcome: By the end of the semester students should be able o to find limits of functions, o to verify continuity of a function at a certain point, o to find derivatives of single variable elementary functions, o to solve applications of derivatives in business, o to find partial derivatives of multivariable functions, o to apply partial derivatives to business and economics problems, o to find integral of some elementary functions, o to find integral of exponential and logarithmic functions, o to apply integrals to solve business and economics problems. 1
College of Business Policy For all FIU students starting a program within the College of Business since the Fall 2016 and later terms, the GPA earned for the seven lower-division Common Prerequisite Course (or equivalent) credit hours must be 2.5 or higher. Additionally, students must earn a C or higher in each of the seven lower-division Common Prerequisite Courses (or equivalents). Further, each of these courses cannot be attempted more than twice. Drops after the add/drop period, which result in a DR grade, are considered an attempt in the course and count as an unsuccessful enrollment. Common Prerequisite Courses include: 1. ACG 2021, Accounting for Decisions 2. ACG 3301, Accounting for Planning and Control 3. CGS 2100, Microcomputer Applications for Business 4. ECO 2013, Principles of Macroeconomics 5. ECO 2023, Principles of Microeconomics 6. MAC 2233, Calculus for Business 7. STA 2023, Statistics for Business and Economics College of Business students starting a program since the Fall 2016, (a) failing to complete the seven Common Prerequisite Courses (or equivalents) with a 2.5 or higher, or (b) failing to pass any of the seven Common Prerequisite Course (or equivalents) in two attempts, can no longer continue to pursue any major within the College of Business. Effective Fall 2017 and going forward, each student within the College of Business gets two drops after the add/drop period, which result in DR grades, in their first 60 credits attempted as a College of Business student. Each College of Business student gets two additional drops after the add/drop period, which result in DR grades, in the second 60 credits attempted. Unused drops after the add/drop period, which result in DR grades, do not carry over from the first 60 credits attempted to the second 60 credits attempted. Students entering the College of Business as transfer students with an A.A. degree from a Florida public college or with 60 or more transfer credits earned from another college or university only get two drops after the add/drop period, which result in DR grades. Students with disabilities who need to drop a course due to disability-related reasons are allowed to petition for additional drops after the add/drop period, which result in DR grades. Students who can document extenuating circumstances may petition the College for additional drops. Approval to drop additional courses in excess of those allowed must be obtained from the College of Business. 2
Academic Misconduct: Florida International University is a community dedicated to generating and imparting knowledge through excellent teaching and research, the rigorous and respectful exchange of ideas, and community service. All students should respect the right of others to have an equitable opportunity to learn and honestly to demonstrate the quality of their learning. Therefore, all students are expected to adhere to a standard of academic conduct, which demonstrates respect for themselves, their fellow students, and the educational mission of the University. All students are deemed by the University to understand that if they are found responsible for academic misconduct, they will be subject to the Academic Misconduct procedures and sanctions, as outlined in the Student Handbook. Expectations: Students must come to class on time with a textbook, notebook, and pencil. Beepers and telephones must be turned off in the classroom. In addition, students must follow all the school rules delineated in the student handbook. Students must be present at each assigned exam day. If a student has to miss an exam for some valid reason, he/she must let the instructor know so that the instructor can replace the grade with the score of his/her final exam. In other words, there is no make-up exam. In addition, students are expected at least do six hours of homework each week. If you expect to pass the class, you must meet these six hours of commitment. If you failed this class already in the past, my suggestion is that you take college algebra instead of this class. You will need superior skills in college algebra in order to pass this course. Course Evaluation and Activities Based on: 1. Four Tests (absolutely no make-ups) 2. One Comprehensive Final Exam (absolutely no make-up) 3. Online Homework Percent Points for Grading: 1. 4 Tests --------------------------------------------60%, 2. Homework----------------------------------------10% 3. Final Exam----------------------------------------30%. Incomplete Grade Policy: For a student to receive a grade of incomplete, the following two conditions must be met: 1) The student must be passing the course with a grade of "C" or better up to the final exam. 2) The student must have a serious and valid reason for missing the final exam. If the student is already failing the course before the final, and he/she misses the final, then the student will fail the course. 3
Check Your Grade: ITEMS Test # 1 on Sept. 18 Test # 2 on Oct. 9 Test # 3 on Oct. 30 Test # 4 on Nov. 27 Homework Online Final Exam on Dec. 04 Comprehensive Total POSSIBLE PERCENT 10% 30% 100% POSSIBLE POITS 100 100 100 100 100 100 600 YOUR TOTAL PERCENT IS: 90-100 87-89.9 84-86.9 80-83.9 77-79.9 74-76.9 70-73.9 64-69.9 60-63.9 56-59.9 <55.9 Note: There is no C- grade, and we will not drop any tests. All students are required to pass the final exam in-order-to pass the course. YOUR GRADE IS: A A- B+ B B- C+ C D+ D D- F 4
Outline of Activities for MAC 2233 Days Chapter Sections Topics and Suggested Exercises Page Odds 8/21 1, 2 1.5 Limits: Exercises: 3,16,18,25,32,34,36,52 74-75 1-52 87-89 1-57 1.6 One-sided Limits: 2,10,15,37,41,53,57 2.1 Derivative: 5, 19, 40, 42, Examples 4 and 6 114-115 1-41 128-129 1-61 2.2 Techniques of differentiation: 18,25,33,46,51,53,60,61 8/28 2 2.3 Product and Quotient Rules: 13,20,27,28,46,52,59 2.4 Chain Rule: 10,29,34,36,37,58,66,72 9/04 Labor Day Holiday University Closed 9/11 2.5 Marginal analysis and approximations: 13,22,23 Review for Test 1 9/18 3 Test # 1 on Monday September 18 Sections 1.5 2.5 3.1 Increasing & decreasing functions: 10,14,68,69,70,71 9/25 3 3.2 Concavity & points of inflection: 14,15,16,31 3.3 Curve sketching: 10,24,33,34,35,36,37,38, Example5 3.4 Optimization:1-10,17,25,35 and Example 6 10/02 3 3.5 Applied Optimization: 12,20,21,22, Examples 7,45,46 Review for Test 2 10/09 4 Test # 2 on Monday October 9 Sections 3.1 3.5 4.1 Compound Interest: 1-34, 35-40, 43,49 4.2 Exponential growth and decay: 1-42, 44-48, 54,61,66,71 10/16 4 4.3 Derivative of logarithms & exponential functions: 6-12, 20,24,31,33,34,53,54,59-63,73 4.4 Exponential Models: 21,22,39 Review for Test 3 10/23 7 7.1 Functions of several variables: 31,33 7.2 Partial derivatives: 3,8,14,16,18,19,28,29-34,41-44,47, Example6 7.3 Optimization of functions of two variables: 1-8, Examples 2 and 3 More Review for Test 3 10/30 5 Test # 3 on Monday October 30 Sections 4.1 7.3 5.1 Integrals (Indefinite): 14,18,19,21,33,47,49,53,54,59 Last Day to Drop a Course with a DR grade 11/06 5 5.2 Integrals (Substitution) 12,14,15,21,24,31,33,42,51,53 5.3 Definite Integrals: FTC: 23-46,58,66,68,73 11/13 5 5.4 Using Integrals to find Areas: 1-13,20,35, 40,41,42 5.5 Using Integrals to solve business applications: 20,21 11/20 5 Review for Test 4 and the Final Exam 11/27 Test # 4 on Monday November 27 Sections 5.1 5.5 Review for the Final Exam 12/04 Comprehensive Final Exam Monday December 4 142-143 156-157 1-59 1-71 168-169 1-25 209-213 1-71 228-231 243-247 261-265 1-31 1-38 1-35 278-280 1-23 309-313 325-329 340-343 354-360 556-559 571-572 588-589 1-49 1-71 1-73 1-39 1-33 1-47 1-12 388-390 1-59 403-406 419-422 437-441 450-451 12-53 1-73 1-41 1-23 5
Exam Policy at the Time of the Test: Bring a picture ID (Driver's License) to the test. All water bottles, phones, purses, book bags, headgear, calculators, and any other personal items must be put away. Everything except the test and a pencil must be removed from the desk. All cell phones must be turned off before entering the classroom, and turned on after leaving the classroom. Anyone who leaves during the test will not be allowed to return to the test. If a student leaves the room during the test for any reason, he/she forfeits his/her right to turn in the test. No Calculators No Cellphones 6