SYLLABUS Math 142:203 Business Mathematics II Summer II, 2014 Texas A&M University MTWRF 12:00-1:35pm, Blocker 161 Instructor: Tina Mai Office: Blocker 631 Office Hours: • Monday-Friday 1:40pm - 2:40pm, Blocker 205 • or by appointment • no office hours on exam days Email: mai@math.tamu.edu Course webpage: http://www.math.tamu.edu/~mai/math142.html Required Textbook: Calculus: Applications and Technology, 3rd ed. by Tomastik. NOTE: Included in your paid course fees is access to WebAssign https://webassign.net/tamu/login.html and an eBook version of the textbook through WebAssign. For more information, visit http://www.math.tamu.edu/ courses/eHomework, then choose “Student Information Page”. Course Description: Business Mathematics II. CREDIT: 3. Derivatives, curve sketching and optimization, techniques of derivatives, logarithms and exponential functions with applications, integrals, techniques and applications of integrals, multivariate calculus. Prerequisites: High school algebra I and II and geometry or satisfactory performance on a qualifying examination. Credit will not be given for more than one of MATH 131, 142, 147, 151 and 171. Calculator Policy: You will be required to have either a TI-83, TI-84 (Plus or Silver Editions are fine), or TI-Nspire (non-CAS version) (or equivalent versions of other brands). Use of any other calculator is neither allowed nor discussed in class. You will also be required to reset memory before each exam and quiz. If there are any programs that you want to keep for personal use, you will want to save them to your computer so that you can reload them after the class is completed. Note that I am only familiar with the TI-83 and TI-84 calculators. Therefore, if you are not very familiar with your calculator, I would strongly recommend using a TI-83 or TI-84 for this class as I will not be able to help you with questions or issues coming from another type of calculator. If you do not bring your calculator to class every day, you may miss out on a valuable resource for quizzes and exams. I will likely not have an extra calculator for you to use, and you are NOT allowed to share calculators during quizzes and exams. Email policy: Please check your TAMU email account DAILY. I will send urgent announcements, important information, as well as updates via email, and you are responsible for knowing any of the information I send. Email is also the best way for you to get in touch with me. Feel free to email me at any time to ask questions, notify me of emergencies, or for any other need for correspondence. I will respond to you in a timely manner when your email is succinct and contains any information I need to respond to. However, do not wait until the evening/morning that an assignment is due to email me questions, which can not be guaranteed timely answers. Note also that, due to privacy issues, I can not discuss grades over email or phone. When you send me any email, please INCLUDE in the email subject your full name, course number 142, and section number 205, and a brief description of the content of your email as well. If any of this information is missing or if I need to look up information, it will delay my response. Cell Phone Policy: As a courtesy to me, and your classmates, all cell phones must be turned OFF and must not be out during class hours, office hours, or exams. Texas A&M Student ID: Bring your student ID to all exams. Because we can not discuss grades via email or phone, when you have questions about grades, please come see me in person with your student ID. Study Groups: Groups of three will be assigned on the third day of class and will stay together for all semester. 1 Grading Policy: Exam I Exam II Exam III Final Exam Quizzes WebAssign Homework Total 15% 15% 15% 23% 18% 14% 100% A = 90% − 100% B = 80% − 89% C = 70% − 79% D = 60% − 69% F = 0% − 59% Grade Disputes: Any questions regarding grading/scoring must be dealt with at the time you receive the exam or assignment before leaving class the day the exam or assignment is returned. Exams: There will be three in-class exams and one comprehensive final exam. Each of the three in-class exams will be 95 minutes long and will be free response. You will be expected to show all of your work on a free response exam. The final exam is cumulative, will be two hours long and all multiple-choice. You must bring your Texas A&M student ID to the exams. You must work exams in pencil. After entering the classroom on each exam day, you will not be allowed to leave until you turn your exam in. You will not be able to use scratch paper. Tentative dates for the in-class exams are as follows: Exam I Thursday, July 17 Exam II Tuesday, July 29 Exam III Friday, August 8 Please see the Make Up Policy. The final exam will be given on TUESDAY, AUGUST 12, 1:00pm - 3:00pm Blocker 161. Quizzes: Please bring some extra blank papers with you every day for quizzes. Quizzes will be given almost every day. They may be announced (see calendar) or unannounced, in-class or take home, taken on your own or in a group, open notes and textbook or not. Please see the Make-Up Policy. WebAssign Homework: https://www.webassign.net/tamu/login.html Go to the provided link to access your WebAssign Homework (and tutorials on how to use WebAssign). Homework will be due frequently (see calendar). Since the homework can be done at your convenience and because there will be a sliding scale used in grading the homework, there will be no make-ups or extensions on homework. If you have questions on the homework, please visit me during office hours, study previous Week-in-Reviews, or go to help sessions. A useful note is that a few times during the semester, WebAssign Homework will be due AFTER the exam on which the material is corvered. Hence, it will benefit your preparation for the exams if you can finish your WebAssign Homework before the exam. Information on Help Sessions will be posted on the Math Departmental Webpage: http://www.math.tamu.edu/courses/helpsessions.html. More information regarding WebAssign Homework: • Each assignment has a “practice” version and a “homework” version. In the practice version, you are given 20 attempts for each question. In the homework version, you have 3 attempts for each question with unlimited time before the deadline to submit. • In the practice version, after submitting each answer, you will see the correct answer. It is highly encouraged that you work on the practice version before the homework, which helps you identify the format you should use for your answers in the WebAssign Homework. • Only the “homework” versions will be graded. The “practice” is just for practice. • Make sure you have Java and Flash installed on the computer you are using to do WebAssign Homework. • If you have any technical difficulties with WebAssign, please go to the following website http://www.math.tamu.edu/courses/eHomework/trouble.html to either see some possible solutions for the difficulties or fill out a “Student Help Request Form” which is available there also. • Since there will be no make-ups or extensions on WebAssign Homework, you should start the homework as early as possible before the deadline so that you have enough time to resolve any technical difficulties. 2 Grading Policy for WebAssign Homework: Due to the pace of the summer session, your online homework will be graded using a sliding scale (i.e., you do not have to get all of the problems correct to receive a 100%). In WebAssign, when you work a problem correctly, you will see that you have earned one point (partial points are possible for questions with multiple parts). The following categories are based on TOTAL % you earned at the end of semester: 50% - 100% 100% 45% - 49% 90% 40% - 44% 80% 35% - 39% 70% 30% - 34% 60% 25% - 29% 50% 20% - 24% 40% 15% - 19% 30% 10% - 14% 20% 5% - 9% 10% 0% - 4% 0% eCampus: http://ecampus.tamu.edu/ When I post grades, they will be posted on eCampus. If you ever want to know what your most up-to-date grade is, you can always come see me in my office. Attendance: I strongly encourage you attend and participate in every lecture. You must arrive and be fully prepared for class (including reading notes and textbook) by the class start time to be ready to actively get involve in the class during lectures, activities, and group discussions. You are expected to stay the entire class time unless you notify me prior to class. I will only post the blank notes on the Course Webpage; completed notes will not be posted. Moreover, the cumulative nature of the course combined with the pace of a summer class will make it very difficult to catch up, should you miss a class. (There is also the fact that at least 18% of your grade is dependent on you actually being in class.) If you do not attend class on the day a take home quiz is assigned, then you will not be allowed to turn in that quiz. If you miss class due to a University excused absence and have proper notification, you will be able to hand copy my class notes during office hours and make up any missed work (excluding WA homework). Having an exam for another class is not a University excused absence, so plan your schedule accordingly. A record of your attendance will be kept and may be one of the factors used to determine grades in borderline cases. Make-Up Policy: No make-ups will be given without written evidence of an official University excused absence (see University Student Rules). In addition, you MUST notify me NO LATER than the end of the second working day after the missed assignment. Sending me a quick email as soon as you know you will be absent helps me make preparations that may be impossible if you don’t notify me: ... the student must notify his or her instructor in writing (acknowledged e-mail message is acceptable) prior to the date of absence if such notification is feasible. In cases where advance notification is not feasible (e.g. accident or emergency) the student must provide notification by the end of the second working day after the absence. This notification should include an explanation of why notice could not be sent prior to the class. (Section 7.3 of the University Student Rules) If no such notice is given, you forfeit your rights to a make-up. Specifically, in the case of injury or illness, students are required to obtain a confirmation note from a health care professional affirming date and time of a medical office visit regarding the injury or illness. A routine office visit does not constitute an excused absence as you can schedule that around your schedule, whereas with an injury or illness, it is an immediate need to see a health care professional. Once an assignment has been returned, I will not give a make-up for that assignment. I will handle these situations case-by-case. I will not accept the Explanatory Statement for Absence from Class form as sufficient written documentation of an excused absence. For non-medical absences, ask me what proof is required. Students with an official University excused absence are permitted to make up work only for the dates of the absence and only for the dates specifically mentioned in the documentation. Please be aware that manufacturing or falsifying documentation is a violation of the Aggie Honor Code and it is my obligation to report all violations to the Honor Council. 3 Quizzes: At a minimum, I will drop your two lowest quiz grades at the end of the session. As long as you have proper documentation and make arrangements with me in a timely manner (see the Make Up Policy), you will be allowed to make up work missed. Homework: Since the homework is done at your convenience and because of the sliding scale being used this session, there will be no make ups or extensions on homework. Exams: If you miss an exam, you will have the opportunity to make it up at the following scheduled times. If your Univeristy excused absence requires you to miss the make up exam, you must provide documentation covering those days as well. In the case that you have University excused absences for the original exam date and the scheduled make up exam, you and the instructor will make arrangements on a case-by-case basis. Make Up Exam Schedule (BLOC 631) Exam 1 Exam 2 Exam 3 July 21, 9:25am - 11am July 31, 9:25am - 11:00am August 11, 9:25am - 11:00am Late Work Policy: Late work will not be accepted without a University excused absence. Academic Integrity Statement: An Aggie does not lie, cheat or steal, or tolerate those who do. It is my obligation (and yours as an Aggie) to report any violations of the Aggie Honor Code to the Honor Council. I further refer the student to the Honor Council Rules and Procedures on the web at http://www.tamu.edu/aggiehonor Students with Disabilities: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services, in Cain Hall, Room B118, or call 845-1637. For additional information visit http://disability.tamu.edu Note: I must have written proof of the necessary accommodations before a quiz or exam. It is your responsibility to visit Disability Services as soon as possible. They have time requirements for fulfilling your accommodations as well as turn around time. Classroom Ettiquette: Students are the center. Thus, besides traditional mathematics lectures, I will ask questions frequently, give time for you to think and answer to understand new concepts or theorems, and apply them to solve problems. Sometimes, a question in lecture becomes a pop quiz in class or take home. I will also hold group activities, where you work in groups to complete assignments related to new lectures or old lectures, which builds collaborative spirit, power, understanding of the mathematics, fun, and motivates ideas of each other. In these activities, notes and textbook may be allowed. Therefore, you should read corresponding notes and the textbook before coming to each class meeting, so that you will not be behind your classmates when discussing in activities. During class hours, please stay focused on learning the mathematics being taught and discussed. This means you should stay awake throughout class, actively participate in the class activities, not reading a newspaper or materials for other courses, refraining from discussion in not related to class, and you should not leave class early until you have informed me first. You should never have a cell phone out or turned on during class. 4 Sources of Help: • Help Sessions: Help sessions are an opportunity for you to ask questions and get help with your homework. In the summer, the help sessions are led by graduate students. The dates and times will be posted on the departmental web page as well as on my own. • Instructor Office Hours: I am always willing to help you, but I won’t know if you have a question that needs my help unless you ask me. I encourage you to ask questions both in and out of class, come to office hours, talk to me, send emails, etc. The more you participate, practice, and attempt to understand, the more successful you will be. • Class Notes: An outline of notes will be posted prior to class. It will be helpful to print these out and bring them to class, fill in details during class. You should review your notes after class to make sure you understand everything covered and note any questions you may need answered before the next class. I will NOT post completed notes after class. The notes are designed to be a primary help for homework as well as a primary review for exams. • Your Classmates: Form study groups! Ask each other for assistance. Work together to understand the material. • Week-in-Review (WIR): Links to previous WIRs will be posted on my web page. This is an excellent resource for studying for exams. • Practice: It is essential that you practice as many problems as you can. In addition to the quizzes, in-class activities, and WebAssign homework, there are suggested homework problems and old Week In Review problem sets for you to work through. • TI-83 calculator help, see on Course Webpage. • Additionally, see Tips for Success on Course Webpage. Copyright Policy: All printed materials disseminated in class or on the web are protected by Copyright laws. Do not post these materials, quizzes, exams, solutions ... on other websites such as Yahoo Answers, without permission from me. One copy (or download from the web) is allowed for personal use. Multiple copies or sale of any of these materials is strictly prohibited. Tentative Schedule: (See last page of the syllabus.) Learning Objectives: This course is focused on quantitative literacy in mathematics found in both business and everyday life. Upon successful completion of this course, students will be able to: • Logically formulate mathematical variables and equations to quantitatively create mathematical models representing problems in everyday life, as well as business, so that calculus can be applied to achieve an optimal solution. • Quantitatively analyze business concepts such as market equilibrium and break-even analysis. • Demonstrate knowledge of basic functions, including exponentials and logarithms, to solve financial investment problems. • Identify patterns in numeric data to calculate limits and derivatives of functions numerically. • Justify whether a function is continuous or not using the mathematical definition of continuity. • Understand the derivative as a rate of change in order to quantitatively apply it to everyday life as well as business applications such as marginal analysis and elasticity of demand. • Investigate the relationship between a function and its first and second derivatives, and use the information obtained from its derivatives to identify pertinent information about the function. • Apply the definite integral to quantitatively determine solutions to problems in everyday life and business such as area between curves, average value of a function, and producers’ and consumers’ surplus. • Recongize and appreciate the relationship between the derivative (rate of change) and the definite integral (accumulation of change), and utilize the Fundamental Theorem of Calculus as the bridge between the two. • Generalize and extend the pattern of various calculus techniques to functions of two variables in order to find solutions to both everyday and business problems such as marginal productivity of labor and capital. 5 TENTATIVE SCHEDULE: Math 142:203 Business Math II, summer II, 2014, July 8 - August 13, Texas A&M University Mon Tues Wed July 8 July 9 Intro to Course & Syllabus Notes: Review of Q0: Algebra (Appendix A) Functions, 1.2 (Bring a paper copy of the syllabus with you) Notes: Review of Functions Thurs Fri Sat/Sun July 10 WA Due: HW 00-01 Notes: 1.3, 1.5 Q1: Review, 1.1 July 11 July 12 Last day to add/drop class July 13 WA Due: HW 02 Notes: 3.1 Q2: 1.2 July 14 July 15 Due: HW A WA Due: HW 03, 04 Notes: 3.1 (con't), 3.2 Notes: 3.2 (con't), 3.3 Q3: 1.3, 1.5 Q4: Take Home Review (Emphasis on 3.1 – 3.3) July 16 WA Due: HW 05, 06 Notes: 3.3 (con't) Review for exam I July 17 Due: Q4 WA Due: HW 07, 08 EXAM I: topics from A.8, 1.0, 1.1, all of 1.2, 1.3, 1.5, 3.1-3.3 July 18 Notes: 4.1 – 4.2 July 19 July 21 WA Due: HW 09, 10 Notes: 4.3-4.5 Q5:: 4.1, 4.2 July 22 WA Due: HW 11 Notes: 4.3-4.5 Q6: 4.3 Q10: Take Home Review (Emphasis on 4.3) July 23 WA Due: HW 12, 13 Notes: 5.1 Q7: 4.4, 4.5 July 24 Due: Q10 Notes: 5.1-5.2 Q8: 5.1 July 25 WA Due: HW 14 Notes:5.2-5.3 Q9: 5.2 Q11: Take Home Review (Emphasis on 5.1 – 5.2) July 26 July 28 Last day Q-drop WA Due: HW 16, 17 Notes: 5.3 (con't) – 5.6 Q12 July 29 Due: Q11 WA Due: HW 18, 19 EXAM II: 4.1 – 4.5, 5.1 – 5.6 July 30 Notes: 6.1 – 6.2 Q13 July 31 Dr. Peter Howard Visiting WA Due: HW 20 (6.1) Notes: 6.1– 6.2 Q14: 6.1 August 1 WA Due: HW 21 (6.2) Notes: 6.3 – 6.5 Q15: 6.2 August 2 August 4 WA Due: HW 22 (6.3) Notes: 6.5 – 6.6 Q16: 6.3 August 5 WA Due: HW 23,24(6.4,6.5) Notes: 6.6 – 6.7 Q17: 6.4, 6.5 Q18: Take Home Review (Emphasis on 6.4 – 6.7) August 6 WA Due: HW 25 (6.6) Notes: 8.1 – 8.2 Q19: 6.6 August 7 WA Due: HW 26, 27 (6.7, 8.1) Notes: 8.2 – 8.3 Q20: 6.7 Q21: Take Home Review for Final Exam (8.1 – 8.3) August 8 WA Due: HW 28 (8.2) Due: Q18 EXAM III: 6.1 – 6.7, 8.1 – 8.2 August 9 August 11 Due: Q21 Last day of class Review for Final Exam August 12 FINAL EXAM (Comprehensive) 1:00pm - 3:00pm August 13 August 14 August 15 August 16 July 20 July 27 WA Due: HW 15 August 3 August 10 WA Due: HW 29 (8.3) August 17