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MATH 0150 Spring Term 2020 Calculus II M W F 11:00 a.m. – 12:05 p.m. 207 Fisher Hall Instructor: Marius G. Buliga 103 D Fisher Hall 814-362-5092 buliga@pitt.edu Office Hours: M W: 2:00-5:00 PM. Textbook: Thomas’ Calculus, by Thomas, Weir and Haas, 12th edition. Course Outline: This course is the second of the three-term calculus sequence courses. It covers calculus of transcendental functions (exponential and trigonometric functions), integration techniques (integration by parts and by substitution), separable and first-order differential equations, improper integrals, infinite series, polar coordinates and graphs. Course Objectives: The student will demonstrate an understanding of the calculus of exponential, logarithmic, and inverse trigonometric functions. The student will also develop a basic understanding of advanced integration techniques, infinite sequences and series as well as selected topics from parametric equations, polar coordinates, and conic sections. Prerequisite: Calculus I (MATH 0140) with a grade of C- or better. Computer Software: Students might be given some hand-in homework assignments using Mathematica. Materials related to the course will be posted online at: http://www.pitt.edu/~buliga/m0150.html Requirements: Regular attendance is expected as is familiarity with the assigned problems. The use of cell phones or laptops/tablets is not allowed in the classrooms. The instructor reserves the right of giving pop-up quizzes if the class attendance is low. There are no make-ups for missed quizzes. Please bring a scientific calculator along with the textbook to class every day. Grading: Your grade is determined by two one-hour exams (25% each), quizzes (25%), and homework (25%). The letter grade is determined using the following scale: A+ = 98-100 A = 92-97 A- = 90-91 B+ = 88-89 B = 82-87 B- = 80-81 C+ = 78-79 C = 72-77 C- = 70-71 D+ = 68-69 D = 62-67 D- = 60-61 F = Below 60 Make-ups for missed exams are given only for documented valid reasons (e.g.: medical written excuse from a doctor, having to go to court that day). Buying a ticket to leave earlier for vacation or not waking up in time are not valid reasons. The instructor will take off 25% from the grade for any make-up exams (except for medical written excuses from a doctor). Homework: Doing the homework should help the students understand the material and perform better on the exams. The test and quiz problems are similar to the homework problems. Students need to go over the assigned problems. Online lectures are available on Courseweb if you go to Course Documents (on the left side menu) -> PDF Lectures. At the end of some PDF lectures I will have a homework that has to be turned in by the due date. You can email me the homework either scanned as a PDF file (if you have a scanner or a touch screen tablet) or as a picture done with your smartphone. I will grade the homework and either email you the homework grade or post it on Courseweb. I will post on Courseweb the solutions for the homework to give you feedback. I will not email you the graded homework since it is difficult to do that for each student. The lectures will be posted at the days/hours when the class was scheduled regularly. The lowest homework grade will be dropped. Where to get help? 1. Go to the instructors’ office during the office hours. 2. Go to the Mathematics Center (251 Hanley Library) to find a tutor. 3. Go to the library to check out a solution manual. Disability Statement: If you have a documented learning, physical or emotional disability for which you are or may be requesting an accommodation, you are encouraged to contact both your instructor and the Disability Resources and Services coordinator, Carma Horner (clh71@pitt.edu, 218 Hanley Library, 814-362-7609), as early as possible in the term. DRS will verify your disability and determine reasonable accommodations for this course. Academic Integrity Statement: Members of the University community, both faculty and students, bear a serious responsibility to uphold personal and professional integrity and to maintain complete honesty in all academic work. Violations of the code of academic integrity are not tolerated. Students who cheat or plagiarize or who otherwise take improper advantage of the work of others, face harsh penalties, including permanent dismissal. Incidents of forged signatures that are associated with any academic endeavor at Pitt-Bradford, in addition to being a criminal offense, are viewed as violations of academic integrity. The academic integrity guidelines set forth student and faculty obligations and the means of enforcing regulations and addressing grievances. Violations of academic integrity will be tracked by the Dean of Academic Affairs. Refer to the Pitt-Bradford Student Handbook for general guidelines on academic integrity. Copies of the complete Guidelines on Academic Integrity are available in the Office of the Dean of Academic Affairs (232 Swarts Hall.) E-mail Policy: All e-mail correspondence related to this course will be sent to your University of Pittsburgh student e-mail account. It is your responsibility to: • Check this account frequently for new mail • If you normally use a different account, forward your Pitt e-mail to the account you normally use via accounts.pitt.edu Tentative Class Schedule: DATE CONTENT 1/6 7.1 Inverse Functions and Their Derivatives Homework: p. 367-369 1,3,5,7,13,19,21,27,31,35,37,41,43 DATE CONTENT 1/8 7.2 Natural Logarithms Homework: p. 375-377 1,3,5,7,9,15,19,21,23,29,37,39,41,43,45, 47,49,55 1/10 & 1/13 7.3 Exponential Functions Homework: p. 385-387 1,5,9,11,13,19,29,37,39,41,43,45,55,57, 65,67,71,83,85,87,89,97,99,101 1/15 & 1/17 7.4 Exponential Change & Separable Differential Equations Homework: p. 394-396 1,7,9,11,13,15,19,21,23,25,29,31,35,39 1/22 7.5 Indeterminate Forms & L’Hopital’s Rule Homework: p. 402-404 1,3,9,13,15,17,23,25,27,33,37,41,51,53,59 1/24 & 1/27 7.6 Inverse Trigonometric Functions Homework: p. 413-416 1,3,5,7,9,11,21,23,25,29,31,33,39,43,45,47, 49,51,57,63,71,81,83,85 1/29 7.7 Hyperbolic Functions Homework: p. 421-424 1,3,5,7,13,15,19,41,43,45,47,53,55 1/31 8.1 Integration by Parts Homework: p. 441-443 1,3,5,7,9,11,13,17,21,25,29 2/3 Review 2/5 EXAM I 2/7 8.2 Trigonometric Integrals Homework: p. 448-449 1,3,5,13,19,23,25,33,35,39,41,51,53,55 2/10 8.4 Integration of Rational Functions by Partial Fractions Homework: p. 461-462 1,3,9,11,13,17,21,29,33,39,41 2/12 & 2/14 8.7 Improper Integrals Homework: p. 487-489 1-16(odds),19,25,35,39,43,49,51,53,55 2/17 9.2 First-Order Linear Equations Homework: p. 508-510 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 2/19 9.3 Applications Homework: p. 515-516 1, 5, 7, 9, 11, 13 2/21 9.4 Graphical Solutions of Autonomous Equations Homework: p. 522-523 1, 3, 5, 7, 9, 11 DATE CONTENT 2/24 11.1 Parametrizations of Plane Curves Homework: p. 616-618 1, 3, 5, 7, 13, 15 11.2 Calculus with Parametric Curves Homework: p. 625-627 1, 3, 5, 7, 15, 23, 25, 27 2/26 11.3 Polar Coordinates Homework: p. 630-631 1,3,5,7,11,13,15,17,23,27,31,35,37,41,43,45, 49,53,57,63 2/28 11.6 Conic Sections Homework: p. 645-648 1,3,5,7,9,11,13,17,19,21,25,27,31,35 3/2 Review 3/4 EXAM II 3/6 11.6 Conic Sections 3/23 & 3/25 10.1 Sequences Homework: p. 541-544 1,3,7,9,13,15,17,19,21,23,25,29,31,33,37,41, 43,45,49,51,53,57,59,61,65,79,91,93 3/27 10.2 Infinite Series Homework: p. 551-552 1,5,7,9,11,13,15,19,27,29,31,33,35,37,39,41, 47,49,51,55,59,65,67,69,71,73,75 3/30 10.3 The Integral Test Homework: p. 557-558 1,3,7,11,13,15,19,21,23,29,31,35,37 4/1 10.4 Comparison Tests Homework: p. 562-563 1,3,5,9,11,15,17,19,21,25,29,31,41 4/3 10.5 The Ratio & Root Tests Homework: p. 567-568 1, 3, 5, 9-20(odds), 25, 29, 35,37,45,47 4/6 & 4.8 10.6 Alternating Series, Absolute & Conditional Convergence Homework: p. 573-574 1,3,5,7,11,13,17,19,21,23,27,29,31 4/10 & 4/13 10.7 Power Series Homework: p. 582-584 1,5,7,9,11,13,15,17,41,43,45
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