Prerequisites: Calculus I (Math 221 or equivalent). A
Grade of C or higher in Calculus I is highly desirable.
[Students with a C- or less in Calculus I typically have serious trouble in Calculus II. You have been warned!]
Textbook: Single Variable Calculus by James
Stewart, 7th Edition, Brooks/Cole - Cengage Learning, 20 Davis
Drive, Belmont, CA, 940002-3098, 2012, ISBN-10: 0-538-49783-1.
[Note that our bookstore is selling this textbook bundled with the WebAssign online homework system and the ebook for a special price. This is an especially good deal for students using it for both Calculus I and II.]
Course Objectives: The course continues the development of differential and integral calculus started in Calculus I. Students will be introduced to new classes of functions (exponential, logarithmic, inverse trigonometric, etc) and will learn how to apply differentiation and integration to these functions. L'Hospital's rule will be taught for dealing with certain limits. Various techniques of integration will be taught (integration by parts, trigonometric substitutions, partial fractions, improper integrals etc). Infinite sequences and series will be studied, and criteria for their convergence will be learned (integral, comparison, ratio, root, alternative series, absolute convergence, power series). Methods of representing functions as power series with a radius of convergence will be taught, as well as the Taylor series representation of functions. We shall study several applications of integration (arc length of a curve, area of surface of revolution). The course concludes with the study of parametric curves and conic sections and allows for a few selective topics. The course material is vital to the study of Calculus III and Differential Equations, and is useful in many other courses in Mathematics, Physics, Chemistry, Biology and Economics.
Learning outcomes: This course satisfies the General Education M requirements. Students in this course will demonstrate competence in calculus.
Material: We will cover most of chapters 6 to 11 of the textbook. More precisely, we will follow the following schedule:
||6.1, 6.2*, 6.3*
||6.4*, 6.5, 6.6
||Quiz 1, 7.1, 7.2
||7.3, 7.4, 7.5
||7.8, Test 1
||10.1, 10.2 and 8.1, 10.2 and 8.2
||Midterm Exam, 11.1
||11.4, 11.5, 11.6:
||Quiz 2, 11.7, 11.8
||Test 2 and Thanksgiving
||10.5 Quiz 3
Exams: There will be two in-class tests, a midterm and a final (note the special time and place for the midterm). The midterm and final will be the same for all students. Here is the schedule for the exams:
|MINI-EXAM 1||Week 6|
|MIDTERM||Wednesday, October 23, now at 9:15-11:15pm instead of 7pm-9pm.|
|MINI-EXAM 2|| Week 13
|FINAL|| Wednesday, December 18, 7pm-9pm
|Test location for Midterm
||04, 05 07, 08, 09, 10, 11
No Calculators, computers, books, or notes will be allowed on exams.
No make-up tests or quizzes unless there are some extraordinary circumstances. Any such circumstances should be well documented and communicated to your instructor ahead of time.
Any request for special accommodation has to be communicated to your instructor ahead of time (ideally at the beginning of the semester).
Homework: Homework will be assigned regularly. We will be using WebAssign for a substantial part of homework. The link is http://www.webassign.net/. When asked to turn in work, it is very important that you write your solutions using full sentences and carefully explain each step. Important: in order to do well on quizzes or exams it is crucial to work systematically on the homework .
WebAssign Links: You should get an email from WebAssign that gives directions about how to set a password and log in. If you don't get it: your username should be your PODS username (the thing before "@binghamton.edu" in your bmail address). To get a password, you can click on "Forgot your Password?" on the login page (see link below). Your Institution is "binghamton" and your Email Address is your bmail address.
Grading Policy: The final graded will be calculated
based upon a 1000 point scale. The breakdown of the 1000
points is as follows:
Final 400 points
Midterm 200 points
In-class Tests 100 points each
Quizzes 30 points each
WebAssign 80 points
Other Material 30 points
The other material will be determined by each instructor based
upon concrete data such as pop quizzes, homework or something
Sections: Note that each section of the course is a separate class. Even though most requirements are set uniform for all sections, the way the material is presented, choice of examples, topics of special emphasis, some additional expectations, etc. will often differ from section to section. At the end, your performance is assessed by your instructor and you are expected to adhere to the rules and expectations set by your instructor. Complaints of the form "my friend in section x knows less than I do but is getting better grades" will not be given consideration.
Attendance and Classroom Decorum: Students are responsible for attending class, behaving in class, taking class notes, doing homework problems, asking for and coming in for help, etc.
Students are expected to attend every scheduled class. Instructors have the right to deny a student the privilege of taking the final examination or of receiving credit for the course, or may prescribe other academic penalties if the student misses more than 25 percent of the total class sessions. Excessive tardiness may count as absence. [University Bulletin]
Late arrivals, early departures, cell phone conversations,
eating, or drinking are not appropriate. It is the student's
responsibility to keep informed about all announcements, syllabus
adjustments, or policy changes made during scheduled classes
and/or posted in BU Brain and/or emailed.
Academic Honesty: It is expected that all students
will behave in accordance with the academic honesty code.
Instances of academic dishonesty will be referred to the
Harpur College Academic Honesty Committee. Academic honesty
violations can possibly result in suspension from the University
for multiple semesters or even possible expulsion. The
academic honesty code is in the link below:
Solutions to Quiz 1: The
solutions to the first Quiz.
A blank copy of Test 1: Blank test 1
Solutions to Test 1: Solutions
Solutions to Quiz 2: Solutions to course quiz 2