MATH 166: CALCULUS II (4 credits), SECTIONS 17, 18, 19, 20, 21, 22 Spring 2015 Textbook: Thomas Calculus Early Transcendentals, 12 th Edition by George Thomas as revised by Maurice D. Weir and Joel Hass Instructor: Dr. Heather Bolles Office: 408B Carver Hall Office Phone: 294-8465 Email: hbolles@iastate.edu Calculus Study Group Sessions in 408 Carver: Mondays, Tuesdays, Thursdays & Fridays 3:10-4:00. The instructor is available during calculus study sessions and by appointment. Teaching Assistants: Michael Pollack, Sections 17, 19, 21 Office: 456 Carver Email: mpollack@iastate.edu Office Hours: TBA Benjamin Sheller, Sections 18, 20, 22 Office: 447 Carver Email: bsheller@iastate.edu Office Hours: TBA Help Room Hours (385 Carver): TBA Supplemental Instruction (SI) Leader: Mason SI session times and locations: TBA See: https://apps-dso.sws.iastate.edu/si/ for more information Grading Policy MLP Homework, clickers, recitation quizzes & projects, reading quizzes:...........25% Hour Exams:..................................................................... 50% Final Exam:...................................................................... 25% Homework Policy: Homework will be assigned and completed on MyLabsPlus, an online assessment tool that accompanies the text. If you had an MLP account last semester, then your account is still active and you will not have to register. If you are new to the Calculus program at ISU, you will need to register on MyLabsPlus as soon as possible. To do this, viisit the website http://iastate.mylabsplus.com When you registered for this class you were automatically entered into the MyLabsPlus system, but you do not have a formal (lasting) account (unless you have a valid account). Your username is your ISU net ID (ISU email without the @iastate). Your initial password is the last four digits of your ISU ID number. You will have to change this password after your 1
first log-in. Be aware that you will have two weeks to register on MyLabsPlus. You should have received a registration code when you purchased your text, or can purchase the code online. If you do not register before this free period expires you will not be able to access MyLabsPlus, which accounts for 6.25% of your final course grade. I strongly recommend that you use a web browser for your MyLabsPlus activity that you typically do not use for your other internet activities. Consider using Chrome or Firefox. Check this site DAILY for new assignments, due dates, and announcements. NO LATE HOMEWORK WILL BE ACCEPTED FOR ANY REASON. It is likely that due to the course schedule, MLP assignments will be due during Dead Week. You need to be careful with syntax when entering your answers; make sure your answers are in the form requested (i.e., simplest form). For the early assignments, you may give up to four possible anwers for each question. As the course progresses, the number of possible answers will be reduced. After you enter an answer, click CHECK. If the answer is correct, go to the next problem. If not, select similar problem and try to correct your mistake, whether a syntax error or a mathematics error. At the end of the semester, your lowest two homework scores will be dropped. Supplemental Problems/Extra Credit: Supplemental problems for practice will be posted on Blackboard. These will be problems from the text and may be more challenging than the problems in MyLabsPlus. These problems will not be collected or graded, but you should practice them and make sure you understand and can do these problems. These problems are fair game for exams. The Mathematics Department sponsors a Problem of the Week. This problem may be completed for extra credit on homework. Your solutions to these problems should come with complete work, not just answers. The Problem of the Week can be found at http://orion.math.iastate.edu/ehjohnst/pow/pow.html Follow the link for Spring 2015 for each week s problem. Each complete and correct Problem of the Week will be worth 5 points extra credit counted towards homework. This problem must be submitted at the PoW bulletin board outside 396 Carver. Solutions are due by 10:00 AM Monday. No late papers can be accepted as solutions are posted at 10:00. At the top of your solution, please put your full name, as well as Bolles with your Math 166 section number. Recitation Work Quizzes: Quizzes will be paper and pencil quizzes and will be given in recitation sections. Projects: Projects will be more in-depth problems completed in teams during recitation classes. At the end of the semester, your lowest recitation work (in-class quiz or team project) score will be dropped. 2
Reading Quizzes: You are expected to read sections in the Calculus text BEFORE coming to class. (Not doing so will likely impact your understanding of the material and your final grade...particularly regarding the Clicker activities in class.) As incentive to read the material, Reading Quizzes will be posted on Blackboard. These quizzes will cover one-two sections at a time and will appear once or twice each week. Each quiz should require about 10-30 minutes to complete, assuming that you have read the necessary sections BEFORE taking the quiz. Quizzes are due at 11:59 PM the day before the section(s) are to be discussed in class. LATE QUIZZES WILL NOT BE ACCEPTED UNDER ANY CIRCUMSTANCES. You are allowed ONE chance to take each quiz (i.e., no retakes). It is your responsibility to check Blackboard regularly for new reading quizzes, announcements, information about exams, etc. Your lowest Reading Quiz score will be dropped. Clickers: Clickers will be used regularly in class to facilitate class participation and engagement with the material. If you do not yet have a clicker, purchase one from the bookstore. If you already have a clicker and registered it for use in a different course, you do not need to register the clicker again for this course. Should you get a new clicker or you have not yet registered your clicker for use in any course at ISU, visit our course s Blackboard page and select Clicker Registration link on the menu at the left. You will register your clicker using the ID number on the back of the Clicker. Nearly every class session will provide the opportunity to earn clicker points. For each correct answer, 0.5 point is earned. For each incorrect answer, 0.2 point is earned. At the end of the semester, at least two of your lowest clicker scores will be dropped. Homework Revisited: All of the above categories (MyLabsPlus Homework, Recitation work: Quizzes & Projects, Reading Quizzes, and Clickers) will be combined to determine 25% of your final course grade. Hour Exams: Four hour exams plus a comprehensive final exam will be given. Dates for the exams are: Friday, February 6 during normal class time..........................sections 6.1-6.6 Thursday, February 26, 8:15-9:45 PM, MIDTERM...................Sections TBA Friday, March 27 during normal class time............................. Sections TBA Friday, April 24 during normal class time.............................. Sections TBA Plan ahead now! Be present for each of the exams! There will be NO MAKE-UP EXAMS!!! For your course grade, the top three of your four hour exams will be used (i.e., the lowest exam of the four is dropped.) If you miss an exam, then that exam counts as your lowest exam. If your first three exams are good, you may elect not to take the fourth exam, provided you attend every class and do every homework during the last three weeks of class. Not doing so and skipping the exam may cost up to one letter grade. Exact content of exams may change depending on the rate at which the material is covered. For each exam, you are responsible for all material presented since the start of the course. THE FINAL EXAM MUST BE TAKEN AND CANNOT BE DROPPED. 3
No communication devices (cell phones, iphones, internet devices, etc.) can be turned on or used during any exam, in-class quiz, or in-class work. Failing to observe this rule will be viewed as academic dishonesty and will result in a score of 0 on the given exam, quiz, or in-class work. Calculator Policy: For the most part, calculators will be allowed on all in-class hour exams and during recitation activities. For the Midterm and Final exams, the calculator policy will be announced. In particular, there will likely be portions of the Midterm and/or Final for which calculators are not allowed. There may be some in-recitation quizzes on which calculators are not allowed. Assigning Course Grades: Scores for assignments, quizzes, and exams will be averaged, as described above. Course grades will be assigned as follows: 89% grade is at least A- 78% grade is at least B- 67% grade is at least C- 56% grade is at least D- 55% grade is likely F Syllabus: Chapter 2, Sections 6.1-6.6 (3 weeks) Chapter 3, Sections 8.1-8.5, 8.7 (3 weeks) Chapter 4, Sections 10.1-10.10 (5 weeks) Chapter 5, Sections 11.1-11.7 (3 weeks) Read the Textbook! The above sections will be discussed in class and recitations. However, it is also important to read the textbook carefully for understanding. We will not be able to cover all examples and ideas in the textbook during class, but you are responsible for the content in the textbook. It is important that you read for understanding, not simply to get the reading over with. This will likely mean that you read each section 3 or 4 times, and you do some paper and pencil work on your own to understand some transitions, etc. Reading mathematics can be a slow process, but each section in the book is rather short, so you should make time for multiple readings. Communications: You are required to have your name and Section designation (17, 18, 19, 20, 21, or 22) on every communication and on every paper submitted. Failure to clearly display your Section designation in email may result in your email going unanswered. Failure to include your Section designation on a test or quiz will result in a loss of 3% on the submission. Special Midterm Exam Instructions: The Midterm Exam is taken by all students in Math 166. The exam is 8:15-9:45 PM on Thursday, February 26. (One class session will be cancelled to account for this exam time. The date of that class session will be announced.) For the midterm exam, we will be in a different classroom. Classroom assignments will be announced when known. 4
ISU Math Department Calculus Website: This site is at http://orion.math.iastate.edu/dept/calculus/ At this site you can find more information about course objectives, syllabus, and copies of the Midterm and Final Exams from previous semesters. Supplemental Instruction: Studies have shown that participating in Supplemental Instruction makes a difference in students performance. Please take advantage of this opportunity and do so before you feel lost or behind. There are four SI leaders designated for all the sections of Math 166. Mason will be attending Dr. Bolles large lecture of Math 166 at 11:00. Please see the schedule and location(s) for SI sessions at: https://apps-dso.sws.iastate.edu/si/ and make every effort to participate in these sessions. You are also able to contact the SI leaders through the Supplemental Instruction website. Math Help Room: The Math Help Room is a Math Department run facility for students who have questions about material in calculus and pre-calculus. The Help Room is in 385 Carver Hall and is open 9:00 AM - 5:00 PM, Monday through Thursday, and Friday 9:00-4:00. Disability accommodations: If you have a disability and require accommodations, please contact the instructor early in the semester so that your learning needs may be appropriately met. You must provide documentation of your disability to the Student Disability Resources (SDR) office, located on the main floor of the Student Services Building, Room 1076, 515-294-6624. Academic Dishonesty: Any student who is caught cheating on an assignment, quiz, or exam will earn a zero for that assignment, quiz, or exam and will be reported to the dean of students for academic dishonesty. Dead Week policy During the week prior to final exams, due to the amount of content to be covered in this course, there will likely be regular MyLabsPlus homework assignments and possibly Reading Quizzes due. These will be posted in the week or two prior so that you can plan accordingly to allow time to study and begin final exam preparation. Class Participation Please come to class prepared. This means that you arrive on time, have paper, writing utensil, clicker, and calculator prepared at the time class begins, and you refrain from using your cell phone, smart phone, tablet, laptop, etc. during class. You are expected to engage with the content and your classmates about course material and not distract the instructor or other students. The class ends at 11:50 am, so please wait until 11:50 to close your notebooks and zip/unzip your backpacks. 5
Course Objectives Applications of the Integral Students should be able to set up and evaluate integrals to calculate the volume of a solid of known cross sections, the length of a plan curve, the area of a surface of revolution, the work done by a variable force, and the moments and centers of mass of a plane lamina or centroid of a plane region. Techniques of Integration Students should be able to carry out integration by parts and apply it to evaluate integrals, evaluate integrals of trigonometric functions, use trigonometric and rationalizing substitutions to evaluate integrals, use partial fractions to evaluate integrals of rational functions, and given an improper integral, determine whether it converges or diverges, and evaluate it if it converges. This should be done for improper integrals of the types: integrals with one or both limits of integration infinite integrals with integrand having a vertical asymptote at either end, both ends, or in the interior of the interval of integration. Infinite Series Students should be able to apply limit rules, incuding L ôpital s Rule, to calculate limits of sequences, apply the concept of boundedness to identify convergence of monotonic sequences, use the concept of partial sum to distinguish between convergent and divergent series and to define the sum of a convergent series, recognize geometric series and collapsing series and calculate their sums when convergent, Use the integral test, the comparison test, the limit comparison test and the ratio test to determine the convergence or divergence of series and use the error estimate derived from the integral test to estimate sums or tails of series, recognize alternating series, and apply the alternating series test and associated error estimate, and identify absolutely convergent series, determine radius of convergence and convergence set of a power series, perform algebraic operations on power series, and apply term-by-term integration and differentiation to power series, expand a function in a Taylor series, and recall and use the Taylor series of elementary functions, and use the remainder in Taylor s formula to estimate the approximation error in a Taylor polynomial. Plane Parametric Curves, Polar Coordinates Students should be able to derive parametric representations for plane curves described mechanically (for example, the cardiod), 6
find tangents and compute length for parametric curves, use polar coordinates, and convert between polar and rectangular coordinates, identify the polar equations for lines, circles and conics, and compute the area of regions whose boundaries are defined by equations in polar coordinates. 7