MAT 1575 - Section 6637 - Fall 2011 Syllabus for Calculus II Lecture: Instructor: Class Webpage: Office Hours: Prerequisites: Text: Course Objectives: Calculator: Evaluation: Tuesdays and Thursdays 2:15 PM to 3:55 PM in room N718 Dr. Laura Ghezzi Office: N826 Phone: (718) 260-4965 E-mail: lghezzi@citytech.cuny.edu E-mail is the best way to contact me. http://websupport1.citytech.cuny.edu/faculty/lghezzi/ghezzi/classes.html Tuesdays and Thursdays, 4-5 PM. Other times are available by appointment. MAT 1475 or MAT 1475H with a grade of D or better. Single Variable Calculus:Early Transcendendals or Calculus:Early Transcendendals, 6 th edition, by James Stewart. A continuation of MAT 1475. Topics include Taylor polynomials, Mean Value Theorem, Taylor and MacLaurin series, tests of convergence, techniques of integration, improper integrals, areas, volumes, and arc length. A graphing calculator is required. We recommend the TI-83/TI-84 Plus. PLEASE READ CAREFULLY!!! Your grade will be based on the following: An early feedback quiz worth 20 points; A review quiz on series worth 20 points; Three one-hour exams worth 100 points each (300 points total); A one session comprehensive final exam worth 150 points; Note: No books, notes, iphones etc. are allowed during quizzes and exams. Homework (10 points). A list of homework problems is distributed on the first day of class. After a section has been covered in class, students should do the problems assigned for that section. Students will be assigned to put homework solutions on the blackboard (such homework problems must have been previously worked out in student s notebook). Homework will also be checked through class activities. There are 500 total points in this course. There is no extra-credit in the class. The grading scale will be no worse than what is shown in the table below and the grades will NOT be curved. To find your final class grade at the end of the semester, add all your points and divide by 500 and then find the corresponding percentage in the table below. To find your approximate grade any time during the semester add up the points you earned, divide by the total possible points, and find the corresponding percentage below. 1
93 100% (465-500 pts) A 90 92% (450-464 pts) A- 87 89% (435-449 pts) B+ 83 86% (415-434 pts) B 80 82% (400-414 pts) B- 77-79% (385-399 pts) C+ 70-76% (350-384 pts) C 60-69% (300-349 pts) D 0-59% (0-299 pts) F Example of grade computation. Suppose you got 15 points in the first quiz, 19 points in the second quiz, 85 points in Exam 1, 56 in Exam 2, 73 in Exam 3, 112 in the Final Exam, and 10 points in the homework. Your total points are 15+19+85+56+73+112+10=370, and 370/500=.74. So you have 74% and your semester grade is C. There will be no make up exams or quizzes. Unless a valid excuse (medical or family emergencies, University related travel such as athletic or academic competitions) is presented in advance, a missed exam will receive the score 0. Students must look at this syllabus carefully and plan well ahead: personal travel is NOT a valid excuse. If a student misses an exam for a valid reason and provides a written verification from an appropriate authority (not a family member), that percentage of the grade may be made up on the final. No extra time will be given in exams and quizzes to students who arrive late. Students must take the final exam in order to pass this class. No student will be allowed to take the final exam early. Attendance: Available help: Important dates: You are expected to attend all class meetings and you are responsible for all the material covered. Attendance is required and will be taken. Lateness and students leaving before the end of the class period will be recorded. When these exceed the 10% margin allowed by the College (3 absences per semester), they will result in grade reduction, and in excessive cases, in a request to withdraw from the course. The official Mathematics Department policy is that two latenesses (this includes arriving late or leaving early) is equivalent to one additional absence. The instructor reserves the right to make any changes she considers academically advisable. Any changes in this syllabus will be announced during class meetings and students are responsible to be aware of them. Students who miss a class meeting should obtain all the information for that meeting from a classmate. Attendance and active participation in class will be taken into consideration while computing the final grade. You are encouraged to come to my office hours for help. Extra help is available in the Learning Center in AG 18: http://www.citytech.cuny.edu/students/learningcenter/index.shtml See http://www.citytech.cuny.edu/students/registrar/calendar.shtml Thursday, September 1 Thursday, September 8 Thursday, September 15 Thursday, November 17 Last day to drop classes with 75% tuition refund. Last day to drop classes with 50% tuition refund. Last day to drop classes with 25% tuition refund. Last day to officially withdraw with W grade. 2
Note: Students who are failing should consider withdrawing officially before November 17 to avoid an F. Academic Integrity: New York City College of Technology Policy on Academic Integrity Students and all others who work with information, ideas, texts, images, music, inventions, and other intellectual property owe their audience and sources accuracy and honesty in using, crediting, and citing sources. As a community of intellectual and professional workers, the College recognizes its responsibility for providing instruction in information literacy and academic integrity, offering models of good practice, and responding vigilantly and appropriately to infractions of academic integrity. Accordingly, academic dishonesty is prohibited in The City University of New York and at New York City College of Technology and is punishable by penalties, including failing grades, suspension, and expulsion. The complete text of the College policy on Academic Integrity may be found in the catalog. Tentative Schedule: Date Section(s) Date Section(s) 8/30 4.2 10/27 Review and Exam 2 9/1 4.9, 5.3 11/1 7.8 9/6 5.4, 5.5 11/3 7.8, 8.1 9/8 5.5 11/8 11.1, 11.2 9/13 6.1 11/10 11.2 9/15 Quiz 1, 6.2 11/15 11.3 9/20 6.2, 6.3 11/17 11.4 9/22 6.3 and review 11/22 Review and Exam 3 9/27 Review and Exam 1 11/24 No class 9/29 No class 11/29 11.5, 11.6 10/4 No class (Friday schedule) 12/1 11.6, 11.7 10/6 7.1 12/6 Quiz 2, 11.8 10/11 7.1, 7.2 12/8 11.8, 11.9 10/13 7.2, 7.3 12/13 11.10 10/18 7.3 12/15 11.11 (optional) and Review 10/20 7.4 12/20 FINAL 10/25 7.5 3
Homework: A list of suggested homework problems for each section is distributed on the first day of class. After a section has been covered in class, students should do the problems assigned for that section. If you have any questions concerning these problems, you are encouraged to come to the office hours. This homework will not be collected; however, to be successful in this course make sure you have understood the material covered in class and done all the suggested problems. Most of the questions I ask in exams and quizzes are closely related to this homework and to the examples shown in class. If you don t have time to do the homework, you don t have time to take this class. 4
MAT 1575 Calculus II Text: Calculus Early Transcendentals, 6 th ed by Stewart Calculus II Homework 4.2 The Mean Value Theorem (pages 280 285) P. 285: 1, 6, 7, 11, 16, 23, 24 4.9 Antiderivatives (pages 340 344) 5.3 The Fundamental Theorem of Calculus (pages 384 387) P. 387: 19 39 odd, 43, 45 P. 345: 1, 5, 7 11 odd, 14, 18, 19, 20, 23, 29, 31, 33, 36, 37, 39, 57, 61 5.4 Indefinite Integrals and the Net Change Theorem (pages 391 P. 397: 1 11 odd, 15 43 odd 393) 5.5 The Substitution Rule (pages 400 406) P. 406: 1 15 odd, 19 43 odd, 51 59 odd, 65, 67 6.1 Areas Between Curves (pages 415 419) P. 420: 1 13 odd, 17 21 odd, 26 (23 optional) 6.2 Volumes (pages 422 430) P. 430: 1 9 odd (11 15 optional) 6.3 Volumes by Cylindrical Shells (pages 433 436) P. 436: 3 13 odd, 21 (15, 17, 19, 23, 25 optional) 7.1 Integration by Parts (pages 452 457) P. 457: 1, 2, 3 13 odd, 17, 19, 23 27 odd, 33, 37, 53, 57 (59 optional) 7.2 Trigonometric Integrals (pages 460 465) P. 465: 1 9 all, 11, 13, 21, 25 29 odd, 30, 39, 40, 43 45 all, 53, 57, 61 (64 optional) 7.3 Trigonometric Substitution (pages 467 472) P. 472: 1 3 all, 5 13 odd, 17 23 odd 7.4 Integration of Rational Functions by Partial Fractions (pages 473 P. 481: 1 3 all, 7 11 odd, 15 29 odd, 33, 62, 63 481) 7.5 Strategy for Integration (pages 483 488) P. 488: 3, 5, 11, 13, 15 17 all, 25, 29, 43, 72, 73 7.8 Improper Integrals (pages 508 515) P. 515: 1, 2, 5, 7, 9, 15 27 odd, 33, 63 5
MAT 1575 Calculus II Text: Calculus Early Transcendentals, 6 th ed by Stewart Calculus II 8.1 Arc Length (pages 525 530) P. 530: 1, 3, 4, 7, 13 Homework 11.1 Sequences (pages 675 684) P. 684: 3, 5, 9, 11, 13, 17, 19, 21, 22, 23, 25, 29, 33, 55 11.2 Series (pages 687 694) P. 694: 9 19 odd, 22, 23 31 odd, 41, 43 11.3 The Integral Test and Estimates of Sums (pages 697 703) P. 703: 3 11 odd, 15, 17, 21, 23 11.4 The Comparison Tests (pages 705 708) P. 709: 3 11 odd, 15, 17, 23 11.5 Alternating Series (pages 710 713) P. 713: 3 13 odd 11.6 Absolute Convergence and the Ratio and Root Tests (pages 714 P. 719: 1 13 odd, 17, 19, 21 719) 11.7 Strategy for Testing Series (pages 721 722) P. 722: 1-13 odd, 19, 21, 25, 28, 31 11.8 Power Series (pages 723 727) P. 727: 3, 5, 7, 15, 17, 19, 25 11.9 Representation of Functions as Power Series (pages 728 732) P. 733: 1, 3, 5, 9 (13, 15, 18, 19, 23 optional) 11.10 Taylor and MacLaurin Series (pages 734 740) P. 746: 3, 7, 9, 10, 13, 15, 17 (6, 19 optional) 11.11 Applications of Taylor Polynomials (pages 749 752) (optional) Final Examination (comprehensive) P. 755: 3, 4, 5, 9, 12, 13, 15, 16, 18, 19 6