Math 2350 - Business Calculus Spring 2016 Textbook: College Mathematics for Business, Economics, Life Sciences, and Social Sciences – Barnett, Ziegler, & Byleen, 13th Edition Lecturer: Email: Office Location: Phone: Cynthia (Cindy) Vadnais cynv@uwyo.edu Ross Hall 220 766-6432 (office), 745-7274 (home) Office Hours: MW 11-1 and by appointment. Lecture: MWF 10-10:50 CR310 Discussions: Please refer to your course schedule booklet for this information. Course Prerequisites: Grade of C or better in Math 1400 or level 4 on Math Placement Exam (MPE) or Math ACT of 26 or Math SAT of 600. ACT and SAT scores are valid for 3 years and the MPE score is valid for 1 year. Course Description: Combines with 2355 for one-year series in business math, primarily for students in the College of Business. Includes review of functions, their graphs and algebra; derivatives and their applications; exponential and logarithmic functions; integration and applications; and applications are generally geared to business problems. Material: 1.1, 1.2, 2.1-2.6, 10.1, 10.3, 10.4, 10.5, 10.7, 11.1-11.7, 12.1, 12.2, 12.5, 12.6, 13.1, 13.2, 13.5, 14.1 Grading: You have two grading options to choose from. Clearly in a class this large there is a diversity of learning styles. These options adapt the grading to reflect these learning styles. If you want option B do nothing. You only need to come see me, at my office, if you are going to choose option A, and then you must do so by noon, February 5th. Option A is for those students who do well on their own (and know they will do well) and do not stress during a testing situation. Do not choose this option just because you do not want to go to the discussions. Very few people should pick this option. Those who choose this option and aren’t sure that they should, may be setting themselves up for failure! Option B is for those students who learn best in a classroom setting and/or tend to stress during testing. The majority of you should be choosing this option. Any student repeating the course will choose option B. Option A Option B *Four exams at 19% each 76% *Four exams at 13% each 52% *MyMathLab Online 14% *MyMathLab Online 14% * Final Exam 10% *Quizzes (10pts each) 12% *Homework Notebook (problems on syllabus) 12% *Final Exam 10% Course Grades: 90-100 A, 80-89.9 B, 70-79.9 C, 60-69.9 D, Below 60 F. Exam Dates: Exam 1: Wednesday, February 24th Exam 2: Wednesday, March 23rd Exam 3: Wednesday, April 13th Exam 4: Monday, May 2nd Final Exam: Monday, May 9th, 10:15-12:15 Dates for Exams 1 through 4 may change. It is your responsibility to be in class so that you are aware of any changes. You do not have the option of making other time arrangements for taking the exams or the final. You will be instructed as to what you need to bring for each exam. Accommodations for Students with Disabilities If you have a physical, learning, or psychological disability and require accommodations, please let me know as soon as possible. You will need to register with, and provide documentation of your disability to, University Disability Support Services (UDSS) in SEO, room 330 Knight Hall, 766-6189, TTY: 766-3073. If you feel that you have what people refer to as math anxiety I highly suggest that you call or visit the Counseling Center in room 341, Knight Hall and get some help. The phone number is 766-2187. With math anxiety many people score very low on math exams. This is something that may cause you to not pass the course. Course Net Site: This syllabus specifies policies applicable to Math 2350. Additional information can be found at http://www.uwyo.edu/cvadnais/2350.html. Additionally, other helpful documents will be posted to the course net site during the semester. This is not the same as the MML site. Your Learning: In Math 2350 you are expected to assume greater responsibility for your learning. For example, since you must decide when you need help, you must understand yourself as a learner. Help is available on the Internet. For example, try the Idea Sheets: www.usu.edu/are/ideasheets/ . Another good way to start taking control of your learning is to take a learning styles inventory. You might try one for engineering majors by Richard Felder and Linda Silverman: http://www.engr.ncsu.edu/learningstyles. During the next few weeks take time to look at other strategies for success posted on the Math Lab site: http://math.uwyo.edu/Mathlab.asp. Studying in college is most likely different from what it was in high school. For the big picture, check out the UW LeaRN Center: uwadmnweb.uwyo.edu/BetterGrades/resources.asp and their award-winning handbook: “A Road to Academic Success” http://uwacadweb.uwyo.edu/lrn/guide.htm. DETAILS Homework Notebook – Your homework notebook consists of your completely hand worked book problems, listed on the syllabus. You must use a spiral or perfect bound notebook. Feel free to use the front and back of each page. Each set of problems for a particular section must be worked out in sequential order, one column wide. This means that if you don’t know how to do a particular problem(s) you will need to leave space so the problems are in order. When we collect these notebooks we will only look in the left margin for the problem numbers. Centered at the top of each page you will write the associated chapter and section number. For example, problems associated with chapter 1, section 2 would have 1.2 at the top of the respective pages. (See the example at the net site) Your notebook will be collected May 3rd during your discussion time. Your legible name (first & last), course number (2350) & discussion section number must be printed on the outside of the front cover of your notebook. No late notebooks will be accepted. Late is the same as losing 12% of your course grade. If you are repeating the course, you may not turn in your notebook from a previous semester. We will look at all of your work and decide a notebook grade, based on completeness, neatness, following directions, organization, etc. You may ask any discussion leader, or me, any time during the semester to look at your notebook to see if your format is correct. Notebooks will be returned during your discussion time on Thursday May 5th. Any notebooks not picked up during this time will lose 2 of the possible 12 notebook points. Discussions - Each discussion section will be devoted to answering questions concerning problems sets assigned from the book (those listed on the last page of this syllabus) and clarifying concepts presented in lecture. Do the assigned homework and come with questions. You are expected to bring your book, notebook & calculator and be prepared to work. The time will not be devoted to having the discussion leader lecture over the material I already covered. Other problems from the book, besides those assigned, may be looked at. I expect you to be proactive! The last 10 minutes of each discussion a quiz will be given. Each quiz will be worth 10 points. You must be in class the entire hour if you wish to take the quiz. No take home or group quizzes will be given. Occasionally notebook problems may be looked at for part of your quiz score. Your 4 lowest quiz scores will be dropped at the end of the semester. MyMathLab (MML) Homework: 14% of your final grade is based on homework problems worked online via MML. I will provide you with a separate set of instructions for online registration. Online assignments are usually around 10-12 questions per section. These problems are chosen as representative of the basic concepts presented in the sections. These few questions will not adequately prepare you for the exams. Instead, these will help you develop a basic proficiency in the topics, and give you immediate feedback so you know how well you are doing. More in-depth problems are in the textbook, and you are encouraged to work odd numbered problems in addition to any assignments given. Most homework assignments on MML can be revisited as many times as you like. If you miss a question, you should redo that question until you succeed. You should settle for nothing less than 100% on each online homework assignment. Due dates are shown in MML and on the course calendar. You will not be able to work an assignment for a better grade after the due date has passed. There are times that the site is overloaded so do not wait until the last minute to do the online homework. If you procrastinate and fail to get the assignment done at the last minute you will receive a zero (or whatever score you have recorded) for that assignment. Your 4 lowest scores will be dropped at the end of the semester. I will give you 5 extra points toward exam 1 if you register for MML by noon February 1st. Course Objectives Math 2350 stresses applications in business and economics, and is intended to give you, the business student, the appropriate conceptual and computational mathematical background for future study in business. Objectives Math 2350 students shall: 1. Demonstrate mastery of algebraic skills; 2. Evaluate limits from their graphs and/or equations of functions; 3. Analyze and apply the notions of continuity and differentiability to algebraic functions; 4. Utilize differentiation and integration techniques, along with critical thinking, to solve problems involving functions unique to business applications. Exit Skills Specifically, by the end of the course you should acquire skills needed to Demonstrate mastery of algebraic computations including factoring, rational expressions, exponents, and radicals. Solve linear and quadratic equations. Graph equations and understand properties of functions. Understand the relationship between exponential functions and logarithmic functions. Perform computations involving these. Solve applications involving profit, cost, revenue, demand, and supply functions. Use graphical and numerical evidence to estimate limits and identify situations where limits fail to exist. Apply algebraic rules to calculate limits. Analyze and apply notions of continuity and differentiability to algebraic functions. Find the derivative of a function using the limit of the difference quotient. Illustrate and analyze, algebraically and geometrically, the average rate of change and the instantaneous rate of change and interpret. Find slopes and equations of tangent lines at a given point. Mechanically calculate a variety of derivatives, with paper and pencil, using the following: power rule, quotient rule, chain rule, implicit differentiation, higher order derivatives, and derivative rules for exponential and logarithmic functions. Solve, and interpret, problems applying derivatives to marginal analysis in business and economics. Use the compound interest formula to solve problems. Solve and interpret problems involving related rates. Solve and interpret applications involving elasticity of demand. Use derivatives to sketch graphs and solve applied problems. Find local extrema and points of inflection of a function. Use first and second derivative information to sketch the graph of polynomial functions. Determine absolute extrema of a function. Solve optimization problems and communicate the results. Understand the relationship between derivatives and integrals. Calculate general antiderivatives using basic integration formulas and rules. Use an initial condition to find a particular solution to an antiderivative. Evaluate definite and indefinite integrals using substitution. Understand and apply the Fundamental Theorem of Calculus to evaluate definite integrals. Evaluate indefinite integrals utilizing basic formulas and rules. Solve real world multi-step integral applications utilizing critical thinking skills and interpret the results. Apply integration techniques to find the area under a curve and the area between curves. This course fulfills the Quantitative Reasoning (QB) requirement of the University Studies Program. QB courses develop a student’s numerical, logical, geometric, algorithmic, and critical thinking skills as well as their ability to integrate these ways of thinking with verbal, written, and creative thinking skills. Students will demonstrate mathematical and logical skill needed to formulate, analyze and interpret quantitative arguments in a variety of settings. OTHER INFO During class cell phones are to be turned off (both vibrate & ring) & put away. You should not to be text messaging during class or utilizing any other features on your phone. Any student with ear buds in their ears during class will be asked to leave class. Make-up quizzes and exams are allowed only with a “University authorized absence” slip. Authorized Absences (unireg 713): For participation in a University-sponsored activity or for unusual circumstances, such as personal hardship, an authorized absence may be issued to the student by the Director of Student Life or the Director’s authorized representative. If a student has been hospitalized, or if the student has been directed by the Student Health Service or the student’s private physician to stay at the student’s place of residence because of illness, the Health Service medical staff or the student's private physician may issue a statement to the student giving the dates of the student's confinement. A good calculator is needed for the course. Throughout the course I highly recommend the usage of either a TI-84 or a TI-89. However, you may also choose to use a nongraphics calculator. Since there is a variety of calculators being used for the course, you will not be allowed to simply give answers to problems because your calculator has certain formulas built in. The built in formulas should be used to check the work you have done. I expect you to bring your calculator to every class. For exams or quizzes you will not be allowed to borrow a calculator from someone else. Don’t put yourself in the position, because you forget your calculator, of trying to do work by hand. No palm pilots, cell phone calculators or calculators larger than the TI graphing calculators are allowed. I expect you to keep noise to a minimum during lectures. You and the person(s) you are talking with may not care to hear the lecture but that does not give you the right to deny others the right to learn. If you find that those around you are talking too much please let me know. I will be as discrete as possible in getting the noise toned down. If I find that the same students persist, I will either ask them to leave or I will assign them seating. Each lecture we will cover approximately a section of the text. You are responsible for all material presented in class. The large group lecture before each exam will be used for review. Review problems for each exam will be posted at the net site. Cheating of any type, as defined in the University Regulations, will result in a grade of F. Attendance in lectures and discussion sections is perhaps your best route to success. Beforehand, try to skim over or read the material to be covered in lecture. Try working problems before and soon after the lecture while material is fresh. Open your book, read your notes, and do problems several times a week. Ask lots of questions and clarify any doubts immediately. Math Lab, in the basement of Ross Hall, room 29, is also a good resource for getting help. Take good notes. The main key is attendance and working lots of problems. Tutoring is also available for this class at the STEP Tutor Center. STEP is open Sunday-Thursday from 610pm and is located in Coe Library. Sessions are drop in (no appointments) and are 30 minutes in length. Students who seek academic help in this class tend to perform 15-20% better than students who do not. Please visit the STEP Tutor Schedule for days and times: www.uwyo.edu/step. 2350 Discussion Section Syllabus (all sections) Section Day Time Room 20 TR 8-8:50 EN3104 21 TR 10-10:50 EN2100 22 TR 12-12:50 AS210 23 TR 2:10-3 AG4040 Discussion Leader Kelsey Garretson Sena Krula Justin Jeffers Audrey Moore Email Office Hours Ross Hall 208 kgarret4@uwyo.edu MW 11-12 skrula@uwyo.edu TR 11:1512:15 Jjeffer3@uwyo.edu MW 8-8:50 Amoore35@uwyo.edu MW 11-12 You must attend the section in which you are registered. You may not attend other sections. You are welcome to attend any discussion leader’s listed office hours. Attendance If you are not present for the entire discussion time you will not be allowed to take the quiz. In other words, you can’t just show up to take the quiz 15 minutes before class ends. If you attend discussion, I expect you to be prepared (have your book, calculator, and notebook out and be ready to go). I also expect you to be respectful of your fellow students. If your discussion leader asks you to leave because you are being disruptive you will first need to visit with me about the situation before you will be allowed back in the class. All policies and procedures as outlined on the previous pages apply to your discussion section. Math 2350 Discussion and Notebook Problems These are the problems from your book that you will work in your homework notebook. Your cue for doing each set of homework is when I tell you that I have finished a section. The calendar lists the sections being covered each Tuesday & Thursday in small group. Quizzes will reward an understanding of these concepts. Chp. 1 1.1 (pp 10-11): 1, 7, 11, 19, 21, 29, 47, 49, 53, 59 1.2 (pp 23-25): 13, 17, 25, 31, 41, 49, 57, 65, 69 (A-C), 79 Chp. 2 2.1 (pp 53-56): 11, 13, 17, 39, 43, 49, 51, 55, 77, 81, 91 (A-C) 2.2 (pp 65-67): 3, 7, 9, 13, 27, 35, 45, 65, 69 2.3 (pp 80-82): 5, 11, 13, 19, 23, 29, 37, 47, 67 2.4 (pp 92-93): 7, 13, 19, 21, 45, 55, 57(A-B) 2.5 (pp 103-104): 3, 17, 19D, 29, 33, 37, 47, 51 2.6 (pp 115-116): 5, 9, 17, 21, 25, 27, 29, 33, 45, 55, 65, 71, 81 Chp. 10 10.1 (pp 499-501): 15, 23, 25, 33, 43, 49, 53, 73, 81, 91 10.3 (pp 522-524): 11, 21, 39, 45, 51, 65, 75, 85, 89A 10.4 (pp 537-540): 9, 11, 15, 23, 33, 45-55 odd, 79, 81 10.5 (pp 547-48): 17, 19, 25, 31, 35, 37, 43-49 odd, 53, 57, 77, 81, 89 10.7 (pp 564-565): 1-7 odd, 11, 15, 19, 21, 23, 33, 35, 43, 45 Chp. 11 11.1 (pp 579-580): 3, 5, 15, 25, 27, 29, 33, 35 11.2 (pp 588-589): 11, 13, 17, 21, 31, 39, 41, 49, 51, 53, 63 11.3 (pp 595-596): 11, 13, 17, 19, 25, 31, 37, 41, 52, 55, 65, 67, 77, 79, 91, 93 11.4 (605-607): 3, 7, 11, 13, 17, 25, 35, 39, 47, 51, 53, 65, 67, 69, 85, 93 11.5 (p 613): 15, 21, 25, 31, 37, 43, 47, 51 11.6 (pp 618-619): 11, 17, 21, 25, 33, 35, 37 11.7 (pp 625-626): 9, 37, 49, 51, 57, 67, 71, 81 Chp. 12 12.1 part 1 (pp 643-644): 23, 29, 37, 43 12.1 part 2 (pp 644-647): 63, 67, 71, 77, 87, 91, 95 12.2 (pp 660-663): 9, 11, 15, 19, 21, 25, 35, 43, 47, 73, 89, 91 12.5 (pp 693-695): 17, 23, 29, 35, 45, 55, 71, 75, 77, 79 12.6 (pp 704-706): 11, 17, 19, 27, 29, 31, 33 Chp. 13 13.1 (pp 722-724): 9, 11, 15, 17, 21, 23, 25, 43, 45, 53, 57, 61, 63, 69, 73, 81, 85 13.2 (pp 734-735): 11, 17, 23, 39, 43, 61, 67, 79, 83 13.5 (pp 765-767): 9, 17, 19, 37, 43, 47, 59, 69, 71, 75, 77 Chp. 14 14.1 (pp 782-785): 9, 11, 17, 25, 35, 39, 49, 55, 67, 85, 87, 96