# Calculus II Fall 2013

**Math 2254 Calculus II Fall 2013**

Section 007, Meeting MWF 2:30-3:40 in D235

Section 012, Meeting TR 7:30-9:10 in D235

**Sarah Holliday Office: D230**

Phone: 678-915-3421 E-mail: shollida@spsu.edu

**Office Hours: **

MWF, 1:30-2:30, TR 4-6. And by appointment

**Text: **

Calculus, 7^{th} e, James Stewart (Brooks/Cole).

**Technology:**

The TI-83/84 calculator is used for this course. You may NOT share calculators during
quizzes or exams. The use of cell phones, pagers, text or other messaging devices
is not allowed during class.

**Prerequisites: **

Math 2253

**Course objectives:**

A continuation of MATH 2253: Topics include differentiation and integration of transcendental
functions, integration techniques, indeterminate forms, l'Hospital's rule, improper
integrals, infinite sequences and series, Maclaurin and Taylor series, conic sections,
and polar coordinates.

Upon completing this course students should be able to:

1. Compute derivatives and integrals for common transcendental functions, and analyze
their graphs.

2. Find indefinite and improper integrals using different integration techniques,
apply L'Hopital's rule for indeterminate forms.

3. Use various tests to determine series convergence, perform standard operations
with convergent power series, find Taylor and Maclaurin representations.

4. Write parametric equations of conic sections, sketch their graphs in polar and
Cartesian coordinates, use conic sections to solve applied problems.

**Homework, Quizzes and Examinations: **

Homework will be assigned daily, but will not be collected without advance warning.
Questions on homework problems can be answered in Office Hours and/or in class. Quizzes
will occur frequently, and occasionally without warning. Quiz questions will typically
come from homework problems. There will be four in-class examinations, and a final.

**Grading Policy: **

In-class examinations will be valued at 15% each, quizzes will total to 15%, and
the final will be valued at 25%.

**Honesty: **

SPSU has an Honor Code and a procedure for handling cases when academic misconduct
is alleged. All students should be aware of them. Information about the Honor Code
and the misconduct procedure may be found at http://www.spsu.edu/honorcode/.

**Absence:**

If I am contacted with an acceptable excuse before the date of the quiz or exam,
then a makeup can be arranged. An acceptable excuse is in writing, contains the student's
name, the date of the absence, a signature from a faculty member sponsoring the trip,
contact information for the faculty member, and a brief mention of the nature of the
trip.

**Special needs: **

I will attempt to accommodate all students with special needs to the best of my ability,
but it is the responsibility of the student to make their needs known to me. Students
with disabilities who believe they may need accommodations in this class are encouraged
to contact the person working with disabilities at 678-915-7244 as soon as possible
to better assure that such accommodations are implemented in a timely fashion.

**Dates: **

First day of class = Wednesday, August 14, 2013.

Last day of drop/add = Monday, August 19, 2013.

Holiday = Monday, September 2, 2013.

First In class exam = September 5 (6), 2013.

Second In class exam = September 26 (27), 2013.

Last day to withdraw = Thursday, October 3, 2013.

Third In class exam = October 24 (25), 2013.

Fourth In class exam = November 22 (23), 2013.

Holiday = November 27-30, 2013.

Last day of classes = Monday December 2, 2013.

Final Exam = TBA (Dec 4-10), 2013

**Assistance:**

For help with your homework, or questions about the lectures, you have a lot of options.
I will take a limited number of questions during class, as time permits. I am available
in my office for help during my posted office hours, and any unscheduled time my door
is open. For additional help, there are campus-wide resources I will announce as soon
as I have the details.

**Practice Homework (approximate schedule):**

Week |
Topic |
Section (in Stewart) |
Homework |

1 |
Inverse functions, Natural logarithm |
6.1, 6.2* |
(pg. 390) NC: 3-13, 21, 23, 25, 27, 33, 35-42 (pg 428) NC: 1-9odd, 11-14, 15, 17-37odd, 49, 65-74 |

2 |
Natural exponential function, General logarithms and exponentials |
6.3*, 6.4* |
(pg. 434) NC: 1-14, 21, 23, 27-51odd, 53, 81-92 (pg. 444) NC: 3-10, 25-41odd; C: 11, 15 |

3 |
Inverse Trigonometric functions, Indeterminate forms & l'Hopital's rule |
6.6, 6.8 |
(pg. 459) NC: 1-11odd, 22, 23-33, 38, 59-70 |

4 |
Indeterminate forms & l'Hospital's rule |
6.8 |
(pg. 477) NC: 1, 3, 7-25odd, 29-35odd, 41, 49, 55, 57, 59, 61 |

5 |
Integration by parts, Trigonometric integrals |
7.1, 7.2 |
(pg. 492) NC: 1, 2, 3-23odd, 27-35odd, 37, 39 (pg. 500) NC: 1-39odd |

6 |
Trigonometric substitution, Partial fractions, Strategies for Integration |
7.3, 7.4, 7.5 |
(pg. 507) NC: 1, 2, 3, 5-19odd, 23, 25, 27, 29 (pg. 516) NC: 1-4, 7, 9, 11-27odd, 39, 41, 47 |

7 |
Strategies for Integration, Improper integrals |
7.5, 7.8 |
(pg. 523) NC: 1-51odd (pg. 551) NC: 1, 2, 5-39odd, 41, 49-54 |

8 |
Sequences |
11.1 |
(pg. 724) NC: 1, 3, 5, 9, 13, 23-51odd, 73, 75, 77 |

9 |
Series, Integral test, Comparison tests |
11.2, 11.3, 11.4 |
(pg 735) NC: 1, 5, 7, 16, 17, 27-47odd, 57, 59, 61, 63 (pg. 744) NC: 1, 3-25odd, 27, 29 (pg. 750) NC: 1, 3-31odd |

10 |
Alternating series, Absolute convergence and the ratio and root tests |
11.5, 11.6 |
(pg. 755) NC: 1, 3-19odd, 27, 29 (pg. 761) NC: 1, 3-29odd, 31, 35 |

11 |
Convergence testing strategies, Power series |
11.7, 11.8 |
(pg. 764) NC: 1-27odd, 31-37odd (pg. 769) NC: 3-19odd, 23, 25, 27 |

12 |
Representation of functions as power series, Taylor & Maclaurin series, |
11.9, 11.10 |
(pg. 775) NC: 3, 5, 9, 15, 17, 25, 29 (pg. 789) NC: 5, 7, 9, 13, 15, 16,17, 19, 29, 31, 33, 47, 49 |

13 |
Applications of Taylor Polynomials, Curves defined by parametric equations |
11.11, 10.1 |
(pg. 798) NC: 3, 5, 7, 9; C: 13, 17, 19 (pg. 665) NC: 5, 7, 9, 11, 13, 14 |

14 |
Calculus with parametric curves, Polar coordinates |
10.2, 10.3 |
(pg. 675) NC: 1, 3, 5, 7, 11, 13, 17 (pg. 686) NC: 1-6, 7-12, 29-43odd |

15 |
Areas in polar coordinates, Conic sections |
10.4, 10.5 |
(pg. 692) NC: 1, 2, 6, 9, 17, 19, 23, 27 (pg. 700) NC: 1-7odd, 11, 13, 15, 19, 21, 23, 25, 27, 29 |