Mathematics for Business and Social Science (Math 28) Fall 2014 MTWTh 12:45-1:50, RoomMC 71 (Sec. 2723) Prerequisite: Completion of College Algebra (Math 26), or equivalent, with a grade of C or better Instructor: Dr. M c Graw (or Professor M c Graw) Office: Math Complex 60 Phone: 310-434-3518 E-mail: mcgraw_colleen@smc.edu Office Hours: 10:15-12:00 MW, T 11:30-12:00 Web Page Address: http://homepage.smc.edu/mcgraw_colleen/ E-mail: mcgraw_colleen@smc.edu Please feel free to email me, however, I will not read or even open emails that are not clearly from a student (I suggest putting your name and section number in the subject heading). I do try to answer emails that are pertinent to the course, emails that ask questions answered on the syllabus will receive a low priority. All emails should be professional, courteous and clearly written. Required Text: Barnett/Ziegler/Byleen,, Applied Calculus, for Business, Economics, Life Sciences, and Social Sciences(Customized for SMC) Prentice Hall. There are supplements for the book available on my web-page, which can be found via the www.smc.edu web site. Tools: Tutoring and additional help: Tutors are available through the math lab which is located in the Math Complex. There is drop-in tutoring and appointments available. You may email, however, I will not respond to any anonymous messages of any kind. It is in your best interests to ask for help as soon as needed. Calculator: You may a scientific calculator. Graphing calculators are not allowed during exams, so please be prepared (This is a department policy so please do not ask for exceptions) Content: Topics include functions, differential calculus of one variable, including exponential and logarithmic functions, introduction to integral calculus, and mathematics of finance. Objectives: Understand business terms, Use algebraic skills to solve business problems, Solve finance problems, Graph functions by identifying important features (using derivatives), Finding limits of functions, Finding derivatives and using these concepts to solve basic business and economic problems, Solve simple optimization problems using derivatives, Applying integrals to solve basic area, business and economics. Regular Attendance: Regular attendance is a requirement to remain enrolled. I expect you to attend the entire class, not to arrive late or leave earl. Students are responsible for all announcements made in class regardless of their presence. Students are responsible for official withdraws from the class through admission office, if you stop attending it is still your responsibility to withdraw yourself from the class. If you do not withdraw yourself you may receive either an F or a W in the course, neither is guaranteed. To receive a guaranteed W you must withdraw before the 12-week deadline. Classroom Behavior and Participation: You are expected to arrive to class on time and be prepared. This means having your chapter outlines, your calculator, formula sheets and any other course handouts. Talking on a cell phone or checking messages is inappropriate at all times during class time. If your cell phone rings during class, your grade will be negatively affected. I expect you to show respect to your fellow classmates by not talking in class unless, of course, you have a question. If you choose to text during class you risk being asked to leave for the remainder of the class. Homework: Assignments include textbook problems, listed on the last page. In addition to completing homework problems, students are responsible for reading the text. I will not collect the homework listed on the last page. The pace of the course is quite rapid, so it is in your best interests to be caught up with the schedule of assignments. Doing and practicing the homework for this class is the key to success, mathematics is much like playing an instrument or a sport, you need to practice! 1
Quizzes: All quizzes will be announced and will be at the end of class on. I will drop the lowest quiz grades. There will be no make-up quizzes. There will be 5 quizzes. Unit tests: Five unit tests are scheduled for the class, listed on the last page. If you miss a test for a verifiable and legitimate reason your final exam can count in place of this missed exam. There will be no make-up exams regardless of the reason. The final exam will only replace one missed exam, all other missed exams will receive a zero grade. If you miss more than one exam, I may be inclined to withdraw you from the course. Your final exam score may also replace your lowest exam score, provided you did not miss an exam. The grade will be calculated as listed below with no exceptions, so do no attempt to negotiate your grade at the end of the term. I strongly suggest that you plan accordingly and do not miss more than one exam. If you miss an exam you will still be responsible for that information on the cumulative final exam. 1. Bring your own calculator (no graphing calculators) to each exam (no sharing during exam) 2. All scratch paper will be provided, all work must be shown on the exam and all scratch paper will be turned in with the exam 3. See my web-page for reviews for each chapter. 4. There might be assigned seating or a seating chart for all exams. You may be asked to move your seat at any time. 5. Exams must be taken on schedule. Exceptions to the schedule may be made on a case by case basis for students with disabilities. 6. Any breach during an exam will be reported. Going into your bag, using a non-approved calculator, using a cell phone for any reason, any talking, looking at another person s exam, passing a note, writing on your desketc cheating of any kind, will not be tolerated and will be immediately reported to the campus authorities. 7. Exams will be return in a timely manner, any disputes regarding an exam grade must be brought to my attention within 7 days of the exam be returned. If you are not in class the day an exam is returned you must come to my office to retrieve the exam. Exams will not be kept indefinitely. 8. Exams are generally free response; partial credit is given when appropriate. All work must be orderly and presented in mathematically correct fashion. Final answers must be circled and final answers must be justified by the work shown. 9. If I cannot read or decipher your work, you may receive zero credit for that problem. Final Exam: A cumulative final exam will be given according to the college final exam schedule. No one is excused from the final exam. Grading system: Method of Evaluation: 90% -100% A Unit tests: 65% 80% - 89% B Quizzes: 10% 70% - 79% C Final Exam: 25% 60% - 69% D Below 60% F Use the formula: Your Grade =.65( TestAve) +.10( Quizaverage) +.25( FinalExamGrade) to determine your grade, do not ask me what you need on the final exam to get a certain grade. Grades will not be curved, and Final Grades will not be posted, you will have to call the number given by admissions. Students are bound by the Code of Academic Conduct and Reporting Policy that addresses issues of academic dishonesty. If you are caught cheating on an exam, you will receive a grade of ZERO for that exam and the incident will be reported and become part of your permanent record. NOTE: There will be NO negotiating for grades at the end of term, students can always find a better way to calculate their particular grade, I have heard it all. This syllabus acts as a contract between the student(s) and professor, the grades will be calculated as I have previously stated, no exceptions. There is will be no extra credit, do not email me with your personal stories about how your life will be ruined if I do not give you a certain grade. You will receive the grade you earn. 2
Entry Level Skills: Skills you need to have prior to enrollment in this course. 1. Identify and graph different types of functions (polynomial, rational, piecewise, exponential, logarithmic. 2. Determine domain and range of functions. 3. Perform operations (add, subtract, divide, compose) on functions. 4. Factor completely algebraic expressions. 5. Solve linear and quadratic equations and inequalities. 6. Solve rational equations and inequalities. 7. Solve higher-order equations. 8. Solve exponential and logarithmic equations. 9. Solve systems of equations. 10. Perform operations on exponential and logarithmic expressions. 11. Perform operations on polynomials. 12. Write algebraic expressions to be used in solving application problems. 13. Compute the sum of a geometric sequence. 14. Apply the binomial theorem to expand a binomial 15. Use a calculator to perform basic operations Exit Level Skills: Skills to be learned during this course. 1. Define business terms 2. Use algebraic skills to solve business, economics and social science problems. 3. Solve finance problems. 4. Find the limit of functions. 5. Find derivatives of functions and express their answers in simplest factored form. 6. Use derivatives to solve problems in business, economics and social sciences. 7. Use concepts of derivatives (as well as domain, intercepts, asymptotes, etc.) to graph functions. 8. Use derivatives to solve optimization problems. 9. Find anti-derivatives of functions. 10. Use the techniques of integration to solve basic area problems, as well as problems in business, economics and social science. Math 28 SLO's: Given a situation encountered in finance, students will determine the correct finance formula to solve the problem. Given a polynomial, rational, exponential or log function, students will analyze the function using concepts of derivative and create a graph that includes intercepts, holes, asymptotes, maximum and/or minimum values and points of inflection, if they exist. Given a situation encountered in business or social sciences, students will determine the function or equation that best models the situation and solve the problem. Lecture Schedule & Homework Assignments (Subject to Change) Date 9/2 T 9/3 W 8/4 TH Homework A-3: Factoring Polynomials: #19-55 odd A-4: Operations on Rational Expressions: #23-33 odd; 43 A-5: Integer Exponents and Scientific Notation: #1-13 odd; 39, 41, 43-46 all A-6: Rational Exponents and Radicals: #1-65 odd; 63, 83-88 all Supplementary problems 1-1: Functions: #39-79 odd, 91, 94 1-2: Elementary Functions; Graphs and Transformations: #1-31 odd, 47, 49, 51, 65, 69, 71 3
1-3: Linear and Quadratic Functions: # 5-47 odd; 63, 65, 69, 77 9/8 M 9/9 T 9/10 W 9/11 TH 1-4: Polynomial and Rational Functions: # 1-19 odd; 33-51 odd; 57, 59abc 1-4: Polynomial and Rational Functions 1-4 Supplement (on-line, formerly section 2-3) 1-5: Exponential Functions: #1-9 odd; 23, 25, 29-41 odd; 47-55 odd; 59, 61 1-6: Logarithmic Functions: #13-19 odd; 27-37 odd; 43-55 odd; 61-65 odd; 79, 81, 87, 92 Chapt. 1 Rev: #13, 26, 30, 33, 34, 35, 37, 38, 39, 40, 50, 52, 68, 69, 72, 76, 86abcf 9/15 M 9/16 T 9/17 W 9/18 TH 9/22 M 9/23 T 9/24 W 9/25 TH 9/29 M 9/30 T 10/1 W 10/2 TH 10/6 M 10/7 T 10/8 W 10/9 TH 10/13 M 10/14 T 10/15 W 10/16 Th D 3-1: Simple Interest : #9-77 odd D3-2: Compound & Continuous Compound Interest: #33-67 odd; 71-79 odd; 85-97 odd D3-3: Future Value of an Annuity; Sinking Funds: #15-19 odd, 27-49 odd Exam #1, Read 2-1 D3-4: Present Value of an Annuity; Amortization : #15-31 odd (omit #21) D3-4: Present Value of an Annuity; Amortization: #33-61 odd (omit #37) Chapt. D3 Rev: #13a, 15, 17, 19, 21, 32, 36, 38, 44, 46 2-1:Introduction to Limits: #13-85 odd; 89c, 91 2-2: Infinite Limits and Limits at Infinity : #9-63 odd; 85, 89, 92 2-3: Continuity: #9-55 odd;69-73odd; 83, 85, 89 2-4: The Derivative: #9, 11-59 EOO; 69, 71-87 odd (omit #37) 2-5: Basic Differentiation Properties: #9-63 odd; 73-91odd 2-6: Differentials: #9-19 odd; 27-31 odd; 45, 48, 53 2-7: Marginal Analysis in Business & Economics: #9-49 odd; 51a Chapt 2 Rev: # 25, 37, 42, 45, 47, 49, 53, 60, 62, 64, 68, 83, 90 Exam #2 Read 3-1 3-1: The Constant e and Continuous Compound Interest: #25-35 odd; 39ac, 41, 45, 47 3-2: Derivatives of Exponential & Logarithmic Functions: #9-53 odd; 63, 69 3-3: Derivatives of Products and Quotients 3-3: #9-73 odd 3-3: Derivatives of Products and Quotients 3-3: #75-97 odd 3-4: Chain Rule: #9-43 odd 4
10/20 M 10/21 T 10/22 W 10/23 TH 10/27 M 10/28 T 10/29 W 10/30 Th 11/3 M 11/4 T 11/5 W 11/6 Th 11/10 M 11/11 T 11/12 W 11/13 Th 11/17 M 11/18 T 11/19 W 11/20 Th 11/24 M 11/25 T 11/26 W 11/27 Th 3-4: Chain Rule: #45-69 EOO; 79-97 odd 3-5: Implicit Differentiation Logarithmic differentiation: #9-55 odd (omit #49) Supplementary problems (in text) 1-5 all, Page 231 # 39-45 odd 3-6: Related Rates: #9-25 odd; 33, 35, 37 3-7: Elasticity of Demand: #33-37 odd; #47-67odd; 81 Review (Chapter 3) Chapt. 3 Rev: #11, 18, 20, 24, 29, 31, 36, 44, 46, 50 Exam #3, Read 4-1 4-1: First Derivative and Graphs: #9-16 all; 17-25 odd; 33-45 odd; 53-59 odd 4-1: First Derivative and Graphs 4-1: #65, 67, 69-74 all; 77-89 odd; 91, 95 4-2: Second Derivative and Graphs: #9, 11; 13-16 all; 17-39 odd 4-2: Second Derivative and Graphs: # 41-69 odd 4-4: Curve-Sketching Techniques : #9-63 odd 4-4: Curve-Sketching Techniques: #71-77 odd; 81, 89 4-4 supplement (on line formerly section 5-4) 4-5: Absolute Maxima and Minima: #9-77 odd No Class Veteran s Day 4-6: Optimization: #9-31 odd (omit #23) 4-6:Optimization: #33; 43-49 odd Chapt 4 Rev: #12, 25, 33, 35, 41, 45, 52, 58, 60, 63, 73 Exam #4, Read 5-1 5-1: Antiderivatives and Indefinite Integrals: #9-57 odd 5-1: Antiderivatives and Indefinite Integrals: #59-69 odd; 71, 73, 81, 85, 93 5-2: Integration by Substitution: #9-43 odd 5-2: Integration by Substitution: #59-75 odd; 77, 79, 81ab, 83, 85, 89 5-4: The Definite Integral: #15, 17, 19, 61, 73 5-5: Definite Integral as a Limit of a Sum: supplement in text; # 1-4 all 5-5: Fundamental Theorem of Calculus : #13-47 odd; 49a-55a odd; 57-61 odd; 69, 71, 77, 81, 87, 91,93 Chapt 5 Rev: #17, 41-49 odd; 50, 52, 55, 57, 68, 71 No Class Thanksgiving 5
12/1 M 12/2 T 12/3 W 12/4 Th 12/8 M 12/9 T 12/10 W 12/11 Th 12/15 M 12/16 T 6-1: Area Between Curves: #9-27 odd; 33-39 odd 6-1: Area Between Curves: #43-57 odd; 65, 67, 85 6-2: Applications in Business and Economics: #55-65 odd 6-3: Integration by Parts: #15-27 odd; 37-45 odd 6-3: Integration by Parts : #47-57 odd; 63, 75, 76, 79 6-4: Integration Using Tables: #9-27odd; 37-43 odd; 69, 71 Chap 6 Rev: #5, 7, 9, 13, 25, 28, 35, 37, 41 Exam #5 General Course Review (Download Review from my web site) FINAL EXAM 12:00-3:00 6