Applied Calculus I

MATH 106, Section 01

Spring Semester 2016

Instructor

John I. Moore, Jr. | Phone: 843-953-7883 |

Office: Thompson Hall 311 | E-mail: john.moore@citadel.edu |

Course Description

An introduction to differential and integral calculus of polynomials, exponential, and
logarithmic functions with an emphasis on applications to business and the life and social
sciences. *Students may not receive credit for both MATH 106 and MATH 131.*

Two years of high school algebra.

Textbook

*Calculus and Its Applications* (Thirteenth Edition) by Larry J. Goldstein, David C. Lay,
David I. Schneider, and Nakhlé H. Asmar, Pearson, 2014. (ISBN 978-0321848901)

Class Schedule

Monday-Wednesday-Friday, 8:00-8:50 a.m., Thompson Hall 316.

Grading

The final grade for the course is based on 6 grades as follows:

- Four assigned in-class tests. Each test counts as a separate grade.
- Daily quizzes and other assignments– collectively count as 1 grade. (Lowest three quiz grades will be dropped.)
- Final Exam – counts as 2 grades.
- Lowest grade from above will be dropped. If the lowest grade is the final exam, only one of the associated grades will be dropped.

Miscellaneous Grading Policies

- Students are required to work individually on all work done outside
of class that will be turned in for a grade. Unless explicitly
authorized, joint work is forbidden. Assistance from anyone other
than the instructor, a librarian, or a member of the academic support
center is also forbidden.

- Homework will be assigned, but it will not be collected or graded.
However, daily quizzes will come directly from the homework assignments.

- Class attendance and participation can influence borderline grades.

- A total of nine absences will result in a course grade of F. With respect
to this policy, three lates count as an absence. In addition, if you are
late by 15 minutes or more, you will be considered absent.

- Incomplete grades are given only in unusual circumstances. Consult the college catalog for policy on incomplete work.

Office Hours

Monday | 1:00-3:30 p.m. |

Wednesday | 1:00-3:30 p.m. |

Other times by appointment

Important Dates

Jan. 18 | Martin Luther King Day (no classes) |

Feb. 5 | Test #1: Sections 0.1-0.5, 1.1-1.3 |

Feb. 29 | Test #2: Sections 1.6-1.8, 2.1-2.5 |

Mar. 16 | Last day to withdraw with a grade of “W” |

Mar. 23 | Test #3: Sections 3.1-3.2, 4.1-4.6 |

Mar. 28-Apr. 1 | Spring Break (Take book home to study during break!) |

Apr. 22 | Test #4: Sections 5.1-5.2, 6.1-6.3 |

Apr. 30 | (Saturday) Final Exam, 8:00-11:00 a.m. |

Expectations

- Do not miss an assigned test without a valid excuse! Missing an
assigned test without a valid excuse will result in a grade of zero
for that test. The instructor gets to determine whether or not an
excuse is valid. In particular, guard duty is not an acceptable
excuse for missing an assigned test. When possible, students should
notify the instructor in advance if they will be unable to take an
assigned test. All make-up tests will be given outside of normal
class time. Once a test has been given in class, any subsequent
make-up tests may differ significantly.

- Show up for class on time and prepared. That means that you have read
the appropriate sections from the book plus any handouts, and you have
worked all assigned homework. If a test has been assigned, you should
be prepared to take the test. If you were late to class or absent from
the previous class meeting, you are responsible for getting class notes
and assignments from another student in the class or from the
instructor.

- If you are late to class, it is possible that you have already been marked
absent by the time you arrive. It is your responsibility to notify the
instructor after class that you were late rather than absent.

- Take care of any personal needs outside of class time. Except for
emergencies, you should not need to go to the bathroom, get a drink of
water, etc. If you need to leave the room at any time while class is
in session, you should ask for permission.

- There should be no personal conversations or moving around during
class without explicit permission. These actions are disturbing to
other students and to the instructor. Be courteous and respect the
rights of others.

- Cell phones must be kept in book bags and programmed in a silent or vibrate
setting during class.

- You should respect the property of your college. No eating, drinking (other than water), smoking, dipping, chewing tobacco, etc. in the classrooms. Also, no writing or carving on the desks, chairs, podium, etc. Any willful vandalism or destruction of Citadel property will be dealt with severely.

Daily Schedule

Dates | Topics Covered |
---|---|

Jan. 13 | Section 0.1: Functions and Their Graphs |

Jan. 15 | Section 0.2: Some Important Functions |

Jan. 18 | Martin Luther King Day (no classes) |

Jan. 20 | Section 0.3: The Algebra of Functions |

Jan. 22 | Section 0.4: Zeros of Functions–The Quadratic Formula and Factoring |

Jan. 25 | Section 0.5: Exponents and Power Functions |

Jan. 27 | Section 1.1: The Slope of a Straight Line |

Jan. 29 | Section 1.2: The Slope of a Curve at a Point |

Feb. 1 | Section 1.3: The Derivative and Limits |

Feb. 3 | Review: Sections 0.1-0.5, 1.1-1.3 |

Feb. 5 | Test #1: Sections 0.1-0.5, 1.1-1.3 |

Feb. 8 | Section 1.6: Some Rules for Differentiation |

Feb. 10 | Section 1.7: More About Derivatives |

Feb. 12 | Section 1.8: The Derivative as a Rate of Change |

Feb. 15 | Section 2.1: Describing Graphs of Functions |

Feb. 17 | Section 2.2: The First and Second Derivative Rules |

Feb. 19 | Section 2.3: The First and Second Derivative Tests and Curve Sketching |

Feb. 22 | Section 2.4: Curve Sketching (Conclusion) |

Feb. 24 | Section 2.5: Optimization Problems |

Feb. 26 | Review: Sections 1.6-1.8, 2.1-2.5 |

Feb. 29 | Test #2: Sections 1.6-1.8, 2.1-2.5 |

Mar. 2 | Section 3.1: The Product and Quotient Rules |

Mar. 4 | Section 3.2: The Chain Rule and the General Power Rule |

Mar. 7 | Section 4.1: Exponential Functions |

Mar. 9 | Section 4.2: The Exponential Function e^{x} |

Mar. 11 | Section 4.3: Differentiation of Exponential Functions |

Mar. 14 | Section 4.4: The Natural Logarithm Function |

Mar. 16 | Section 4.5: The Derivative of ln x |

Mar. 18 | Section 4.6: Properties of the Natural Logarithm Function |

Mar. 21 | Review: Sections 3.1-3.2, 4.1-4.6 |

Mar. 23 | Test #3: Sections 3.1-3.2, 4.1-4.6 |

Mar. 25 | Section 5.1: Exponential Growth and Decay |

Mar. 28-Apr. 1 | Spring Break (Take book home to study during break!) |

Apr. 4 | Section 5.2: Compound Interest |

Apr. 6 | Section 6.1: Antidifferentiation |

Apr. 8 | Section 6.1: Antidifferentiation (continued) |

Apr. 11 | Section 6.2: The Definite Integral and Net Change of a Function |

Apr. 13 | Section 6.2: The Definite Integral and Net Change of a Function (continued) |

Apr. 15 | Section 6.3: The Definite Integral and Area under a Graph |

Apr. 18 | Section 6.3: The Definite Integral and Area under a Graph (continued) |

Apr. 20 | Review: Sections 5.1-5.2, 6.1-6.3 |

Apr. 22 | Test #4: Sections 5.1-5.2, 6.1-6.3 |

Apr. 25 | Review/Course Evaluations |

Apr. 30 | (Saturday) Final Exam, 8:00-11:00 a.m. |