Mathematics-16 • CRN 31298 APPLIED CALCULUS I Syllabus • Spring 2016 Course Goals 1. 2. 3. 4. find antiderivatives using integration by parts and tables of integrals; evaluate improper integrals; find partial derivatives; solve optimization and constrained optimization problems involving functions of two variables; 5. evaluate double integrals; 6. find derivatives and integrals of trigonometric functions; 7. solve applied problems involving differentiation or integration of trigonometric functions; 8. solve simple differential equations; 9. solve problems involving exponential growth/decay, limited growth, and logistic growth; 10. approximate functions with Taylor Polynomials; 11. find event probabilities by integrating probability density functions; 12. find expected value, variance, and standard deviation of continuous random variables. Instructor: Mr. Mayer, PE Office: 2032 Office Hrs1: R 11-11:50a, TR 6-6:50p Phone: 510.723.7182 eMail: bmayer@chabotcollege.edu Chabot Engineering WebPage: http://www.chabotcollege.edu/faculty/bmayer/ Course Logistics 3.0 Units - 3 hrs Lecture per week Meet: TR 4:30-5:45p Room 1804 Final Exam: Tue/24May/4:30p Text (Required): Laurence D. Hoffmann, Gerald L. Bradley, David Sobecki, Michael Price, Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition, 11th Edition, McGraw-Hill, Hardcover, 1088 pages, ©2013, ISBN-13 9780073532370 PreReq: Prerequisite Mathematics 15 (completed with a grade of C or higher). 1 Office hours may change from time-to-time based on the needs of the students and the college. Please consult the Engineering WebSite HomePage for the most current office-hour schedule. © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 1 Grading Weight Function MiniQuizzes HW Assignments MidTerm Exam-1 MidTerm Exam-2 MidTerm Exam-3 MidTerm Exam-4 Final Exam Σ-Total = 4% 8% 16% 16% 16% 16% 24% 100% Grade Assignment 90%-100% 80%-89.99% 70%-79.99% 60%-66.99% <60% A- to A+ B- to B+ C- to C+ D- to D+ F The instructor reserves the prerogative to adjust the location and/or width of the GradeAssignment bands based solely on his professional judgment of overall class performance. NOTE: Keep all your graded work until AFTER you have received your final grade. This grading record will help to substantiate any grade-recording errors committed by the instructor. Start-of-Term Add Policy Summary for FULL Classes A Student WILL be DROPPED from this course If He/She MISSES BOTH Meetings 1 & 2 OR Meeting-2 Add No.s to replace the dropped students shall be issued at the END of Meeting-2 in the order prescribed by the WaitList NO Add No.s shall be given after meeting-2 Classes that have space will allow adds up to the FOURTH Class meeting. eMail Communication → SpamFilter Avoidance = “MTH16” On ALL eMail communication students should please include the text “MTH16” in the subject line. Otherwise the student eMail may be sent to the college SpamFilter folder which is not often inspected by the instructor. © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 2 Supplies and Equipment Required Stapler Paper, 8½ by 11 inches Graph paper - Engineering Computation Pad Recommended Folder, 3-hole Binding (see Figure 1) Pens or pencils, no red ink please Quality Straight-Edge Ruler – mm and inches recommended Calculator – Scientific Optional Access to InterNet Capable Computer Available in the STEM Lab, Rm3906 Attendance This course is FOUNDATIONAL for the APPLICATION; i.e.2, practical use, of mathematics; that is, the concepts and skills covered in this course are used ON THE JOB. The KEY to developing these skills is CONSISTENCY – Come to class EVERY time, complete the HomeWork EVERY DAY. Coming-Late or Leaving-Early should be rare events. If a student needs to arrive late or leave early, please find a seat near the door. Please enter or leave quietly, so as to not disturb the rest of the class. Instructors consider a student walking between the instructor and the class to be a very inconsiderate and discourteous act. HomeWork Homework will be assigned as noted on the course schedule, and should be completed before the next class meeting. The answers to the odd numbered problems are in the back of the book. Check your answers. Mark all the exercises that you were not able to do. You will have an opportunity to ask the instructor to work these problems at the beginning of the next class period. Homework will be collected on the Due Dates noted on the schedule; typically the class session immediately following an Exam. To receive full credit for the homework, a student must: show all his/her work (no work no credit) be neat; If it can’t be read, it can’t be understood or graded start each section on a new page with the chapter and section number in the upper right hand corner be put assignments in chronological order based on the date of the assignment; the oldest assignment first securely fasten all assignments in a folder (NOT a binder) similar to that shown in Figure 1 to form the Homework Packages as indicated in the schedule. 2 i.e. stands for the Latin “id est” which translates to English as “that is” © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 3 The FIRST page on the inside of the folder must be the MTH-15/16 HomeWork Package Cover Sheet (Figure 1, Left photo) ♦ Copies of the CoverSheet will be provided before HWpkg-01 is due o The CoverSheet MSWord PDF File3 may Also be DownLoaded from the Course WebPage The student name must be on the OUTside of the folder turn in ALL the assignments for the HomeWork Package as noted in the schedule ♦ NO partial will be accepted. Only the FIRST submission will be graded. Late Homework Packages may be turned in ONE class-meeting late with a 15% penalty. The instructor may, solely at his discretion, accept late homework sets beyond the one-classmeeting late deadline in extenuating circumstances. MiniQuizzes 40-50, single-problem “MiniQuizzes” will be administered during the course of the term. The MiniQuizzes (or MQs) will be “pop” in nature; that is, the MQs are not announced in advance. Some details on the MQs: MQs may be administered at ANY time during the class period Some Class Meetings may have NO MQ Some Class Meetings may have MORE THAN ONE MQ MQ content will consist of the subject matter covered during the previous class meeting Content may be drawn from either the Lecture or TextBook MQ Duration shall be 5 minutes. MQs will be collected promptly after the 5 minute duration; NO extra time will be allowed for any reason. There will be NO MakeUp MQs for any reason MQ’s will NOT be Returned MQ scoring: 0 Points → Student does not take the MQ 1 Point → Student takes the MQ, but shows NO, or LITTLE, evidence that the student gave his/her full attention to the previous lecture(s) and reading(s). 2 Points → Student takes the MQ and shows SUBSTANIAL evidence that the student gave his/her full attention to the previous lecture(s) and reading(s) but the student arrives at an incorrect result. 3 Points → The student arrives at the correct result AND Demonstrates UNDERSTANDING 3 Click the Link to DownLoad Link HomeWork Package Cover Sheet © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 4 Applied Calculus On The Job A Good Employee will Use Calculus-Based mathematical models in the course of his/her professional duties A GREAT Employee will MAKE Calculus-Based mathematical models in the course of his/her professional duties Exams All Exams are CLOSED-Book. There will be four MidTerm exams and a Final exam as indicated on the Schedule. All Exams will have ASSIGNED SEATING. On Exam Days the instructor will place the exams on the desks, FACE DOWN, with a student name written on the back of the Exam. Each Student is requested to find the exam with his/her name on it and take that seat withOUT turning over the exam until notified by the instructor. ♦ Turning over the exam early will be regarded as an act of Academic DIShonesty ♦ Taking a seat other than that assigned will also be regarded as an act of Very Serious Academic DIShonesty All students are requested to be ON TIME on Exam Days. MakeUp exams are only offered in those cases where the student can provide 3rd party justification (e.g., a note from a medical doctor, or law enforcement officer) for the absence. Any MakeUp exam must be taken the NEXT day, at a time & location determined by the instructor. All MakeUp exams are subject to a 15% score-penalty. ♦ MakeUp exam takers have extra study time, and may learn about the exam content prior to the MakeUp. This is simply NOT FAIR to those students who make the (sometimes extraordinary) effort to come to the exam on-time. Doing Well In This Course In this course students complete the transition from NONinfinitesimal (finite valued) Math such as Algebra, GeoMetry, and TrigonoMetry to infinitesimal (really small, or really large) math known as calculus. All subsequent math courses ASSUME that the student has SOLID COMMAND of the primary calculus operations of derivation and integration. Building this foundation of Calculus Knowledge & Skills requires Effort, Diligence, and Time. Following are suggestions that will help a serious student to master the material, and prepare him/her for more advanced math courses (e.g. MTH1 or MTH254): 4 MTH25 is HIGHLY recommended for serious applied-math Business or LifeScience majors © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 5 1. EXPLOIT The REQUIRED TextBook Buy cheap BEER5; not cheap TextBooks Every Student’s future WORKING LIFETIME depends, in some part, earning a good grade in this course. ♦ Making the Optimum Book Choice improves a student’s probability of Success in this course o Do NOT buy: OLD Editions or International Editions o Good Condition USED books of the proper edition are aOK o Do NOT RENT or SELL textbooks that relate to a student’s Career Choice Do not merely read the text; WORK the text Obtain the Required TextBook IMMEDIATELY and start USING IT BEFORE attempting the HomeWork assignment, go thru the chapter with a PENCIL & PAPER. ♦ Work the EXAMPLE problems until you can solve them without referring to the text solution 2. LISTEN to the Instructor A second point of view that differs from the TextBook usually aids understanding Students in this class have the unusual circumstance and great good fortune to have as the instructor someone who performed Applied Calculus6,7 as part of his PROFESSIONAL duties. Try working the examples that the instructor does on the WhiteBoard The Instructor’s WhiteBoard Notes are posted on the Course WebPage What the instructor covers in his/her OWN WORDS usually ends up on Exams 3. Use LOTS of PAPER when working Example and HomeWork Problems Write down concepts in your OWN Words Do NOT SKIP STEPS Write down your thoughts on the problem steps Use Many Vertical-Format “Reduction Lines” to clearly show solution steps. ♦ See the Instructor’s solutions at the end of the lecture files as posted to the webpage for examples of vertically-formatted reduction 4. DRAW LOTS of DIAGRAMS and/or TABLES When analyzing a REAL WORLD “word problem” try one or more of: drawing a representative DIAGRAM TABULATING related quantities after EVERY analytical step 5. LEARN A COMPUTER GRAPHING INSTRUMENT When analyzing a REAL WORLD “word problems” try one or more of: A Graphing Calculator such as the TI-[83+, 84+, 86, 89, 95+]. See Figure 2. Computer Number or Math Processing software that produces function graphs ♦ MSExcel (Shortest Learning Curve) ♦ MATLAB (Best analytical capability) ♦ MuPAD8 (most “hand-math” like) 6. LEARN from any MISTAKES 5 Applies to students 21 years of age or older B. Mayer, “Small Signal Analysis of Source Vapor Control Requirements for APCVD”, IEEE Transactions on Semiconductor Manufacturing, vol. 9, no. 3, pp. 344-365, 1996 7 B. Mayer, C. C. Collins, M. Walton, “Transient Analysis of Carrier Gas Saturation in Liquid Source Vapor Generators”, Journal of Vacuum Science Technolgy A, vol. 19, no.1, pp. 329-344, Jan/Feb 2001 8 MATLAB, MuPAD, and MSExcel are all topics in covered in MTH25 6 © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 6 ALWAYS do a POST MORTEM examination on all Quizzes and Tests; i.e. figure out what went WRONG and FIX it before the next Quiz/Exam Suggested Port-Mortem Process Put your exam and the instructor’s SOLUTION Side-by-Side ♦ Locate the source of any error(s) and correct it/them Put away the Solution and RETAKE the Exam Until you UNDERSTAND the Solution Process 7. PUT IN the TIME A serious College/University student will spend 6-8 hours per week OUTside of class studying the course-material, working the homework assignments, and preparing for Exams Stay on the assignment schedule to avoid “Rush Jobs” that produce MINIMAL learning, and to avoid Late Penalties 8. Take ADVANTAGE of the STEM9 Lab in Rm3906 Provides mathematics students currently enrolled in any mathematics course with tutorial assistance from an instructor, student tutors, and fellow classmates. See http://www.chabotcollege.edu/learningconnection/mathlab/ 9. Use UNITS Use UNITS (lbs, meters, seconds, Kelvins, etc.) to the maximum possible extent. Units connect an Analyst’s thinking to the Real, Physical or Business World 10. ASSIST your COLLEAGUES One of the best ways to LEARN something is to TEACH it to someone else. If a ClassMate seeks your assistance with the HomeWork or in the Lab, do your best to accommodate him/her with a careful explanation 1-to-1 Tutoring The Learning Connection Program The LC (formerly PATH) is a Learning Connection Program at Chabot College. The LC Center offers small group and one-on-one peer tutoring in a wide variety of subjects. Each appointment is scheduled for 50-minutes. Subjects tutored are based upon demand. For More information on this excellent tutoring resource please see: http://www.chabotcollege.edu/learningconnection/path/ How to Study Like a College Student EXTRA CREDIT Students can earn EXTRA Credit in the maximum amount of ONE SIXTH (1⁄6) of a HomeWork Package for completing the Take Home Quiz based on the College Student Study Skills presentation. The Presentation may be found on the Course WebPage The Take Home Quiz (THQ) is due as noted on the schedule NO Late THQs accepted The THQ is turned in SEPARATELY from the HomeWork Packages 9 STEM = Science, Technology, Engineering, and Math © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 7 Using Units HomeWork EXTRA CREDIT Students can earn EXTRA Credit in the maximum amount of ONE TENTH (1⁄10) of a HomeWork Package for completing the Using Units HomeWork based on the Using Units Presentation The Presentation may be found on the Course WebPage The Using Units (HW-UU) is due as noted on the schedule NO Late HW-UUs accepted The HW-UU is turned in SEPARATELY from the HomeWork Packages Withdrawal From Course From the Chabot College WebSite10 Dropping Classes Students are responsible for dropping or withdrawing from classes. Failure to follow the withdrawal procedures may result in a grade of "F". Students who drop before the No Grade of Record (NGR) period will not have a grade appear on their transcript. After the NGR date any student wishing to withdraw from the course to receive a “W” on his/her grade-transcript MUST, to completely avoid an “F” grade, initiate the withdrawal through the Admissions & Records process. In other words, the STUDENT must drop the course either using CLASS-Web, or in-person in the Community Student Services Center, Bldg-700. Do NOT ASSUME that the instructor will drop any student from the course The instructor MAY drop students from the course at the “Last day to drop with a ‘W’ (Withdrawal) as indicated in the “Academic Calendar” published in the Chabot College class schedule and posted on the WebSite. The “W-Date” is typically about 70% of the way thru the term. Any student who fails to take the course seriously earns a W. Evidence of a lack of commitment to the course includes these W-earning actions: Not ATTENDING class for 3 weeks prior to the W-Date Not turning in the two HomeWork Packages immediately prior to the W-Date Not taking a MidTermExam ClassRoom Courtesy As a courtesy to other students and the instructor in any classroom: 1. When coming-late or leaving-early, PLEASE do NOT walk in FRONT of the instructor while he/she is speaking Please take a seat as UNOBSTRUSIVELY as possible. The goal for coming-late or leaving-early students is that NO ONE notices the entrance or exit. 2. PLEASE do NOT activate any PRINTERS (or other noise-making objects) during lectures or discussions 3. PLEASE do NOT Type/KeyBoard during lectures or discussions 4. PLEASE do NOT hold side-conversations during lectures or discussions 10 See: http://www.chabotcollege.edu/admissions/registration/add_drop.asp © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 8 5. PLEASE set all CELL PHONES to VIBRATE before entering the classroom 6. PLEASE do NOT bring LIQUIDS into Computer Labs 7. PLEASE DO ask QUESTIONS about the course content Student Conduct - General Everyone in this class, including the instructor, is a mature adult, so Courteous and Respectful behavior is expected at all times. Please & ThankYou go a long way to make a pleasant atmosphere. Swearing is not appropriate for the classroom. VISITORS: Note that College policy does NOT allow visitors in the classroom. EATING: Eating is not permitted in Chabot College classrooms. Please eat all food outside the classroom. BE PREPARED: Bring paper, your book, and extra pencils or pens. Sharpen your pencils before the class starts. Take care of your personal needs before class starts. HELP KEEP FACILITIES CLEAN & NEAT: Put all trash in the waste basket. Check your desk area before departing to ensure that you have not left any personal items. If you are working in groups, please return your desk to its original position. Student conduct, and consequences for misconduct, shall follow the policies described in the STUDENT RIGHTS AND RESPONSIBILITIES” section of the Chabot College course catalog. The minimum sanction for misconduct shall be removal of the student from Class for the remainder of the class period Academic Dishonesty Academic Dishonesty of Any Kind WILL NOT BE TOLERATED Any act of academic dishonesty Will result in a grade of ZERO (0) for the assignment/task in which the offense occurred May result, in the sole discretion of the instructor, in the assignment of a grade of F for the COURSE May trigger the formal Chabot College Academic Dishonesty discipline process as described in the “STUDENT RIGHTS AND RESPONSIBILITIES” section of the Chabot College course catalog IMPORTANT INFORMATION REGARDING THE SEMESTER CALENDAR AND OTHER RELEVANT STUDENT INFORMATION IS © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 9 PROVIDED IN THE SCHEDULE OF CLASSES, THE COLLEGE CATALOG, OR THE COLLEGE WEBSITE. Figure 1 – Homework-Package folder. The Cover Sheet (left) must be the first Page. The folder must BIND the stapled Homework Assignments © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 10 Figure 2 • TextBook Graphing-Calculator Resource. See: http://highered.mcgrawhill.com/sites/0073532371/student_view0/calculator_keystroke_guide.html. © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 11 Tentative HomeWork Assignments • 02Jan16 Adjustments Made As-Needed by the Instructor. For UpDates See Course WebSite: http://www.chabotcollege.edu/faculty/bmayer/ChabotEngineeringCourses/MTH-16.htm HW Sec P01 P02 P03 P04 P05 P06 P07 P08 P09 P10 P11 P12 P13 P14 P15 P16 P17 P18 P19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 6.1 6.2 6.3 7.1 7.2 7.3 7.4 7.5 7.6 8.1 8.2 8.3 9.1 9.2 9.3 9.4 10.1 10.2 10.3 11.1 11.2 11.3 1 1 3 1 1 1 3 1 1 1 1 3 3 1 3 3 1 1 3 1 1 7 3 3 7 5 5 5 5 5 3 3 5 7 5 3 7 11 3 3 5 3 5 9 5 5 11 9 9 9 7 7 5 5 9 11 7 5 11 15 5 5 7 5 9 13 7 7 15 13 13 14 9 9 7 7 13 17 9 7 15 19 7 7 9 7 11 17 17 9 19 15 17 17 11 13 9 9 17 19 11 9 23 27 9 9 13 9 15 21 21 13 21 21 23 25 15 17 11 11 23 23 13 11 27 29 13 15 15 11 19 27 27 17 25 27 27 33 19 25 15 13 27 27 15 13 31 31 15 19 17 13 23 29 29 25 29 33 33 37 21 33 17 15 31 29 17 17 33 31 27 35 43 37 45 25 37 27 25 35 35 19 23 37 33 33 38 49 43 47 33 43 35 31 43 39 23 27 39 35 39 41 53 49 51 41 47 45 47 49 17 21 19 15 27 37 19 25 23 17 31 21 29 29 21 33 IC RE8 RE9 39 7 41 11 47 17 21 27 39 41 49 55 59 55 63 55 57 63 69 70 47 47 35 45 45 25 33 53 51 43 49 51 29 35 57 49 53 55 33 41 61 57 61 63 37 51 75 61 79 63 87 93 41 53 45 53 63 27 31 33 23 39 31 39 39 27 43 35 43 45 29 51 37 45 47 31 57 43 48 33 37 41 47 © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 12 67 NOTES 1. “RE” ≡ Review Exercises located at the end of the chapter 2. 310 Problems Total Tentative Schedule • 02Jan16 Adjustments Made As-Needed by the Instructor → Check often the Course WebPage: http://www.chabotcollege.edu/faculty/bmayer/ChabotEngineeringCourses/MTH-15.htm Mtg Day Date 1 2 3 4 5 6 7 8 T R T R T R T R 19-Jan-16 21-Jan-16 26-Jan-16 28-Jan-16 2-Feb-16 4-Feb-16 9-Feb-16 11-Feb-16 9 T 16-Feb-16 10 R 18-Feb-16 11 T 23-Feb-16 12 13 14 15 16 17 18 R T R T R T R 25-Feb-16 1-Mar-16 3-Mar-16 8-Mar-16 10-Mar-16 15-Mar-16 17-Mar-16 Reading Assignment HmWork Roll-Call, Syllabus, Take Home Quiz (THQ) §6.1 Integration by Parts §6.2 Numerical Integration §6.3 ImProper Intregrals §7.1 Functions of Several Variables §7.2 Partial Derivatives §7.3 Optimizing Functions of Two Variables MidTermExam Review MidTermExam-1 §6.[1-3], §7.[1-3] → Work Probs §7.4 Optimization by Method of Least Squares §7.5 Constrained Optimals → La Grange Multipliers §7.6 Double Integrals §8.1 TrigonoMetric Functions §8.2 TrigonoMetric Differentiation Applications MidTerm Exam Review MidTermExam-2 §7.4-8.2 → Work Problems §8.3 TrigonoMetric Applications: Integration §9.1 Differential Equation Modeling THQ HW01,UU HW02 HW03 HW04 HW05 HW06 HW07 Due Notes Class WebPage, Adds HW-UU → Extra Credit THQ HW-UU THQ Not Part of HWpkg HW-UU Not Part of HWpkg HWpkg-1 HW01 → HW06 HWpkg-2 HW07 → HW11 HW08 HW09 HW10 HW11 HW12 HW13 © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 13 Mtg Day Date 19 IC SB SB 20 21 22 23 24 25 26 27 28 29 30 T R T R T R T R T R T R T R T 22-Mar-16 24-Mar-16 29-Mar-16 31-Mar-16 5-Apr-16 7-Apr-16 12-Apr-16 14-Apr-16 19-Apr-16 21-Apr-16 26-Apr-16 28-Apr-16 3-May-16 5-May-16 10-May-16 31 R 12-May-16 32 33 34 T R Tue 17-May-16 19-May-16 24-May-16 Reading Assignment §9.2 First Order, Linear ODEs No Class Meeting - Instructor Conference No Class Meeting - SpringBreak No Class Meeting - SpringBreak §9.3 ODE Applications §9.4 ODE Numerical Approximation by Euler MidTerm Exam Review MidTermExam-3 §8.3-9.4 → Work Problems §10.1 Infinite & GeoMetric Series §10.2 Series Converence Tests §10.3 Power Series, Taylor Series §11.1 Intro to Probability MidTermExam Review MidTermExam-4 §10.1-11.1 → Work Problems §11.2 Continuous PDF §11.3 ExpectedValue & RandomVariable Variance Final Exam Review Final Exam Review Final Exam: 4:30-6:20pm - Comprehensive HmWork Due Notes HW14 HW-IC HW15 HW16 HW17 HW18 HW19 HW20 NotCovered: §9.5 HWpkg-3 HW-IC HW12 → HW16 HW-IC not part of HWpkg HWpkg-4 HW17 → HW22 HW21 HW22 NOTES “W” Date = 13Apr14 “All Exams shall have ASSIGNED SEATING as described in the “Exam’s” Section of this Syllabus Chabot Final Exam schedule as applied to this class: © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 14 Print Date/Time = 19-Jan-16/13:12 © Bruce Mayer, PE • Chabot College • MTH16_Syllabus_Sp16_160115.docx • Page 15