Spring 2019 – Math 1207 L01, Calculus II

Class meetings: Monday and Wednesday 11:30 ~ 12:45, 140 West 62nd 213
Recitation: Wednesday 10:15 ~ 11:15, 140 West 62nd 213
Office: LL 817B
E-mail: hmoon8@fordham.edu
Course webpage: https://fordham.blackboard.com
Office hours: Monday and Wednesday 3:00 ~ 4:00, Thursday 9:30 ~ 11:30, or by appointment
Text: Single Variable Calculus, 8th ed., J. Stewart.

Recommended Problems

  • Sec 5.2. #1, 3, 5, 7, 9, 11, 19, 21, 47, 49, 51, 67.
  • Sec 5.3. #3, 5, 9, 11, 13, 15, 17, 37, 39, 41, 45, 47.
  • Sec 5.5. #1, 3, 5, 9, 13, 15, 19.
  • Sec 6.1. #5, 7, 9, 11, 15, 19, 23, 25, 27, 29, 35, 37, 39, 41, 43.
  • Sec 6.2. #7, 9, 15, 31, 33, 37, 41, 59, 69, 77, 79, 85, 87, 89, 95, 105, 109.
  • Sec 6.3. #3, 5, 11, 15, 17, 27, 29, 43, 45, 53, 55, 57, 65.
  • Sec 6.4. #3, 7, 11, 17, 21, 33, 49, 71, 73, 75, 77, 85.
  • Sec 6.5. #1, 3, 5, 9, 11, 15, 17, 19.
  • Sec 6.6. #1, 5, 23, 25, 27, 31, 47, 49, 59, 61, 63, 67, 73.
  • Sec. 6.7. #7, 9, 11, 15, 31, 33, 35, 37, 59, 61, 62, 63.
  • Sec 6.8. #11, 13, 15, 19, 21, 27, 31, 41, 47, 57, 61, 73, 91.
  • Sec 7.1. #3, 5, 7, 9, 11, 15, 23, 27, 29, 37, 41, 57, 63, 65.
  • Sec. 7.4. #7, 9, 11, 15, 19, 23, 29.
  • Sec 7.7. #3, 5, 7, 11, 15, 31, 37.
  • Sec 7.8. #5, 7, 9, 13, 19, 21, 31, 37, 49, 51, 53, 57, 59, 63, 69, 73.
  • Sec. 8.1. #3, 5, 7, 11, 17.
  • Sec. 8.2. #7, 9, 11, 13, 15.
  • Sec. 10.3. #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31, 33, 35.
  • Sec 11.1. #3, 5, 7, 13, 15, 17, 23, 27, 31, 35, 41, 43, 49, 73, 75, 77.
  • Sec 11.2. #5, 7, 15, 17, 19, 23, 25, 29, 31, 37, 41, 43, 47, 57, 59, 69, 71, 81, 89.
  • Sec 11.3. #3, 7, 11, 13, 15, 17, 19, 21, 29.
  • Sec 11.4. #3, 5, 7, 9, 13, 15, 17, 21, 23, 25, 29, 31, 37, 39.
  • Sec 11.5. #3, 5, 7, 11.
  • Sec 11.6. #5, 7, 9, 11, 13, 15, 17, 19, 45.
  • Sec 11.8. #3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 31.
  • Sec 11.9. #3, 5, 7, 9, 13, 15, 17, 21, 25, 27, 39.
  • Sec 11.10. #5, 7, 9, 11, 13, 19, 21, 23, 35, 37, 39, 45, 47, 53, 55, 61, 63, 65, 67, 71, 73, 75, 77, 79.
  • Sec 11.11. #1, 3, 5, 7, 9, 31, 33, 37.
  • Appendix G. #1, 3, 5, 7, 9, 11, 13, 19, 21, 23, 25, 29, 31, 33, 35, 41, 43, 45.

Course objective

This course is a continuation of the study of single variable calculus. This course covers review of logarithmic and exponential functions, inverse trigonometric and hyperbolic functions, techniques of integration, approximate integration, improper integrals, arc length, surface area, parametric curves, polar coordinates, sequences and series, and Taylor series. Roughly, we will cover parts of Chapters 5, 6, 7, 8, 10, and 11.

Prerequisite

Math 1206 (Calculus I) or its equivalence. We will assume that you have studied the following concepts: the limit, the derivative and its applications, the antiderivative, the definite integral, the fundamental theorem of calculus.

Grading

I will grade on a curve. Final grades will be computed according to the following breakdown:

Participation 5 %
Homework 25 %
Midterm Exams 2 x 17.5 %
Final 35 %

Calculator or computer

Only four function or scientific calculators are permitted on midterm tests and the final. Use of graphing calculators, computers, smartphone or any other electronic devices is not allowed.

Homework

Both online and offline homework will be assigned. Online homework will be handled through WebWork, a website for submitting your homework online. Details on signing up for WebWork will be given during the first two weeks of classes.

There will be also biweekly writing assignments, to improve your mathematical writing. It will be collected on Monday, before the class starts. I highly recommend you to work in groups and help each other, but do not copy someone’s steps directly. You must understand how to solve the problems.

I don’t accept any late submission or e-mail submission unless there is some medi- cal/family emergency. For instance, “I cannot access WebWork for some reason.” is not an acceptable excuse.

Additional materials

I will post solutions of tests and homework. Check the course webpage regularly, at least once in a week. It is always advisable to work as many additional problems from the book as you have time for. In each week I will post on the course webpage a list of recommended problems. You don’t need to submit a solution of recommended problems, but studying them will be very helpful to improve your mathematical writing skill.

Test

There will be two midterm tests and a cumulative final exam. The tentative midterm exam schedule is: February 25 and April 1. The final is on May 13 and is cumulative. Make up exams will not be given unless you have a documented reason.

Attendance

Coming to every class during the official academic term is required. Attendance will be taken intermittently. This will be included in the “participation” portion of your grade.

Math Help Room

From the second week of classes, the Math Help Room in LL 810 welcomes all students to drop by with any math questions. Faculty and upper class math majors will stay and help you.

Academic integrity

As a Fordham University student, you have agreed to abide by the University’s academic integrity policy. All academic work must meet the standards described in http://www.fordham.edu/info/20322/academic_advising/3030/academic_integrity. Lack of knowledge of the academic integrity policy is not a reasonable explanation for
a violation. Questions related to course assignments and the academic integrity policy should be directed to the instructor.

Disability Services for Students

If you are a student with a documented disability and require academic accommoda- tions, you need to register with the Office of Disability Services for Students (ODS) in order to request academic accommodations for your courses. Please contact the main ODS office at Rose Hill at 718-817-0655 to arrange services. Staff at ODS can walk you through the process and arrange appointments depending on which campus you take courses at. Accommodations are not retroactive, so you need to register with ODS prior to receiving your accommodations. Please see me after class or during office hours if you have questions or would like to submit your academic accommodation letter to me if you are already registered for accommodations with Fordham.

Disclaimer

The course syllabus is a general plan for the course; deviations announced to the class by the instructor may be necessary.