**APPLIED CALCULUS
II
Math 1261, Spring 2008**

Instructor: Dr. Rachel Hall

Office: 229 Barbelin

Office Hours: T 10:30-11:30, W 9:30-10:30, F 12-1

Telephone: (610) 660-3096 (Office)

E-mail: rhall@sju.edu

**Course Description:** This course
covers the fundamental topics of integration, functions of several variables,
and differential equations with emphasis on methods and applications to
real-world problems. It is especially directed towards Biology, Business and
Social Science majors in order to provide a valuable and useful device to help
them solve problems.

**Course Goals: **The student who successfully completes this course
should be able to

- Compute indefinite, definite, and improper integrals of basic functions by substitution, parts, and using tables.
- Use his or her understanding of the integral as accumulated change to set up an appropriate mathematical model to solve typical calculus word problems.
- Understand and apply the Fundamental Theorem of Calculus and the definition of the definite integral as a limit of Riemann sums.
- Understand and apply the basics of multivariable calculus; solve optimization problems using Lagrange multipliers and the method of least squares.
- Be able to solve first-order differential equations using separation of variables and integrating factors; interpret the slope field; use differential equations to model applied problems.

**Prerequisite:** MAT 1251 or
placement. If you have concerns about your placement in the class, please discuss
them with me in the first week of classes.

**Text:** *Applied Calculus for
the Managerial, Life, and Social Sciences*, 7th edition, by S. T.
Tan, Thomson, 2007. We will cover chapters 6, 7, 8, 9, and some
supplementary material.

**Calculators:** You should bring a
graphing calculator to every class. You can use any calculator that does
not do symbolic differentiation (in the TI system, you can use anything below
TI-89). Please see me if you are in doubt about your calculator.

**Homework:** Learning mathematics,
like learning to play a musical instrument or becoming a good athlete, requires
LOTS of practice. A college class has less than half the classroom time of a
comparative high school class, so you may have to spend much more time on
calculus outside of class than you are used to. Daily assignments will be given in class. You should
start working on the homework problems for a section as soon as that section is
covered in class. Although the
homework will not be collected, most students find that completing the homework
is essential for success in calculus.

**Homework portfolio: **In order to accommodate different learning styles, I
am offering the option of replacing the lowest test grade or all quiz grades by
a homework portfolio, due the last day of classes. Strict policies apply, including the academic honesty
policy. If you wish to take this
option, **you must discuss it with me before the first test** and pick up a homework log form.

**Quizzes: **There will be 15-minute quizzes given in class every
Friday when there is not an exam, giving ten quizzes. Quizzes are based on homework problems (in fact, some quiz
problems will be identical to homework problems). There are **no makeup quizzes**, but your lowest two grades will be dropped.

**Tests:** There will be four tests,
scheduled for February 6, February 27, March 26, and April 16 (all
Wednesdays). A cumulative final exam will be given on Thursday, May 1,
2:00-4:00 pm. Makeup tests will only be given to students who
contact me by email (rhall@sju.edu) or phone
(610-660-3096) **within 48 hours of missing a test.** Students with a **valid, verifiable
reason** for missing a test or the final may
take a makeup without penalty if they bring a note; those who have missed
a test without a valid, verifiable reason may take a makeup with a 30% penalty,
assuming that they contact me within 48 hours. Valid excuses
include illness, death in the family, or an official university activity such
as an athletic event.

**Grades:** Grades will be weighted as
follows:

320 points: four
test grades (each is worth 80 points)

200 points: final
exam grade

80 points: quiz
grades (each is worth 10 points; lowest two grades dropped)

The grade cutoffs are 560 A, 540 A-, 520 B+, 500 B, 480 B-, 460 C+, 440 C,
420 C-, 400 D+, 360 D, and below 360 F. Grades may be curved at the end of the
semester. **You have the option of replacing either your total quiz grade or
your lowest test grade with your final exam grade. If you submit a homework portfolio, you can replace two
grades—one with your final exam, and the other with the portfolio. **

**Academic Honesty:** Dishonesty
includes cheating on a test, falsifying data, misrepresenting the work of
others as your own (plagiarism), and helping another student cheat or
plagiarize. At the very least, an academic honesty infraction will result in
the filing of a violation report and a grade of zero on that particular
assignment; serious or repeated infractions of the Academic Honesty policy will
result in failure of the course. For complete information about the
University’s policy on Academic Honesty, consult the Student Handbook
2007-2008.

**Attendance:** Class attendance is
mandatory. Although I do not have a rigid cut policy, anyone who has
missed lots of classes and is doing poorly in the course should not expect much
sympathy from me. If you do miss a class, it is your responsibility to
obtain the notes and assignments from another. (There are no makeup quizzes; see my makeup test policy if
you miss a test.)

**Students with Disabilities:** Students who have or think they may
have a disability (learning, physical, or psychological) are encouraged to
contact Services for Students with Disabilities, Room 113, Science Center,
610-660-1774 or 610-660-1620 as early as possible in the semester. Accommodations can only be provided to
a student with current documentation (within 3 years). Students are encouraged to discuss
their instructional needs and accommodations (“reasonable academic
adjustments”) with their professors early in the semester. All student requests for extended time
to take quizzes or exams in a distraction free environment must be discussed
with the professor a **minimum of one week prior to the scheduled date
of the quiz, test, or final exam**. The student must complete the
Extended-Time Request Form, obtain the professor’s approval, and submit the
form to the office of Services for Students with Disabilities a minimum of 3
days prior to the date of the scheduled exam. Failure to follow these procedures could result in a denial
of the request. Exceptions to exam
schedules requires prior written approval of the professor.

**Schedule
(subject to change)**:

Weeks 1-3 |
Sections 6.1-6.5 |

February 6 |
First Test |

Weeks 4-6 |
Sections 6.6-7.3 |

February 27 |
Second Test |

March 1-8 |
Spring Break |

March 12 |
Freshman Grades Due |

March 21-24 |
Easter Break |

Weeks 5-9 |
Sections 7.4-8.2 |

March 26 |
Third Test |

March 31 |
Last Withdraw |

Weeks 6-12 |
Sections 8.3-9.1 |

April 16 |
Fourth Test |

Weeks 13-14 |
Sections 9.2-9.3; Review |

April 25 |
Last Day of Class |

May 1, 2-4 pm |
Final Exam (Room TBA) |

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