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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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