Mathematics for Business and Social Science (Math 28) Fall 2014


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1 Mathematics for Business and Social Science (Math 28) Fall 2014 MTWTh 12:451:50, 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: Office Hours: 10:1512:00 MW, T 11:3012:00 Web Page Address: Please feel free to me, however, I will not read or even open s that are not clearly from a student (I suggest putting your name and section number in the subject heading). I do try to answer s that are pertinent to the course, s that ask questions answered on the syllabus will receive a low priority. All s 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 webpage, which can be found via the web site. Tools: Tutoring and additional help: Tutors are available through the math lab which is located in the Math Complex. There is dropin tutoring and appointments available. You may , 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 12week 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
2 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 makeup 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 makeup 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 webpage 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 nonapproved 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 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
3 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 higherorder 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 antiderivatives 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 A3: Factoring Polynomials: #1955 odd A4: Operations on Rational Expressions: #2333 odd; 43 A5: Integer Exponents and Scientific Notation: #113 odd; 39, 41, all A6: Rational Exponents and Radicals: #165 odd; 63, all Supplementary problems 11: Functions: #3979 odd, 91, : Elementary Functions; Graphs and Transformations: #131 odd, 47, 49, 51, 65, 69, 71 3
4 13: Linear and Quadratic Functions: # 547 odd; 63, 65, 69, 77 9/8 M 9/9 T 9/10 W 9/11 TH 14: Polynomial and Rational Functions: # 119 odd; odd; 57, 59abc 14: Polynomial and Rational Functions 14 Supplement (online, formerly section 23) 15: Exponential Functions: #19 odd; 23, 25, odd; odd; 59, : Logarithmic Functions: #1319 odd; odd; odd; 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 31: Simple Interest : #977 odd D32: Compound & Continuous Compound Interest: #3367 odd; odd; odd D33: Future Value of an Annuity; Sinking Funds: #1519 odd, odd Exam #1, Read 21 D34: Present Value of an Annuity; Amortization : #1531 odd (omit #21) D34: Present Value of an Annuity; Amortization: #3361 odd (omit #37) Chapt. D3 Rev: #13a, 15, 17, 19, 21, 32, 36, 38, 44, :Introduction to Limits: #1385 odd; 89c, : Infinite Limits and Limits at Infinity : #963 odd; 85, 89, : Continuity: #955 odd;6973odd; 83, 85, : The Derivative: #9, EOO; 69, odd (omit #37) 25: Basic Differentiation Properties: #963 odd; 7391odd 26: Differentials: #919 odd; odd; 45, 48, : Marginal Analysis in Business & Economics: #949 odd; 51a Chapt 2 Rev: # 25, 37, 42, 45, 47, 49, 53, 60, 62, 64, 68, 83, 90 Exam #2 Read : The Constant e and Continuous Compound Interest: #2535 odd; 39ac, 41, 45, : Derivatives of Exponential & Logarithmic Functions: #953 odd; 63, : Derivatives of Products and Quotients 33: #973 odd 33: Derivatives of Products and Quotients 33: #7597 odd 34: Chain Rule: #943 odd 4
5 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 34: Chain Rule: #4569 EOO; odd 35: Implicit Differentiation Logarithmic differentiation: #955 odd (omit #49) Supplementary problems (in text) 15 all, Page 231 # odd 36: Related Rates: #925 odd; 33, 35, : Elasticity of Demand: #3337 odd; #4767odd; 81 Review (Chapter 3) Chapt. 3 Rev: #11, 18, 20, 24, 29, 31, 36, 44, 46, 50 Exam #3, Read : First Derivative and Graphs: #916 all; odd; odd; odd 41: First Derivative and Graphs 41: #65, 67, all; odd; 91, : Second Derivative and Graphs: #9, 11; all; odd 42: Second Derivative and Graphs: # odd 44: CurveSketching Techniques : #963 odd 44: CurveSketching Techniques: #7177 odd; 81, supplement (on line formerly section 54) 45: Absolute Maxima and Minima: #977 odd No Class Veteran s Day 46: Optimization: #931 odd (omit #23) 46:Optimization: #33; odd Chapt 4 Rev: #12, 25, 33, 35, 41, 45, 52, 58, 60, 63, 73 Exam #4, Read : Antiderivatives and Indefinite Integrals: #957 odd 51: Antiderivatives and Indefinite Integrals: #5969 odd; 71, 73, 81, 85, : Integration by Substitution: #943 odd 52: Integration by Substitution: #5975 odd; 77, 79, 81ab, 83, 85, : The Definite Integral: #15, 17, 19, 61, : Definite Integral as a Limit of a Sum: supplement in text; # 14 all 55: Fundamental Theorem of Calculus : #1347 odd; 49a55a odd; odd; 69, 71, 77, 81, 87, 91,93 Chapt 5 Rev: #17, odd; 50, 52, 55, 57, 68, 71 No Class Thanksgiving 5
6 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 61: Area Between Curves: #927 odd; odd 61: Area Between Curves: #4357 odd; 65, 67, : Applications in Business and Economics: #5565 odd 63: Integration by Parts: #1527 odd; odd 63: Integration by Parts : #4757 odd; 63, 75, 76, : Integration Using Tables: #927odd; 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 12:003:00 6
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