Applied Calculus I

MATH 106, Section 03

Spring Semester 2018

Instructor

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

Office: Thompson Hall 209 | 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* (Fourteenth Edition) by Larry J. Goldstein, David C. Lay,
David I. Schneider, and Nakhlé H. Asmar, Pearson, 2018. (ISBN 978-0134437774)

Class Schedule

Monday-Wednesday-Friday, 8:00-8:50 a.m., Thompson Hall 216.

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 | 10:00-11:00 a.m., 1:00-3:30 p.m. |

Wednesday | 10:00-11:00 a.m., 1:00-3:30 p.m. |

Friday | 10:00-11:00 a.m. |

Other times by appointment

Important Dates

Jan. 15 | Martin Luther King Day (no classes) |

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

Feb. 26 | Test 2: Sections 1.6-1.8, 2.1-2.5 |

Mar. 12-16 | Spring Break (Take book home to study during break!) |

Mar. 23 | Leadership Symposium (no classes) |

Mar. 27 | Last day to withdraw with a grade of “W” |

Mar. 30 | Test 3: Sections 3.1-3.2, 4.1-4.6 |

Apr. 20 | Test 4: Sections 5.1-5.2, 6.1-6.3 |

May 1 | (Tuesday) Final Exam, 8:00-11:00 a.m. |

Expectations

- Do not miss an assigned test or the final exam without a valid excuse! Missing
an assigned test or the final exam without a valid excuse may result in a grade
of zero for that test or exam. 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.

- Personal conversations are disturbing to other students and to the instructor.
Please be courteous and respect the rights of others.

- Cell phones must be kept out of site and set to a silent or vibrate
mode during class.

- You should respect the property of your college. No eating, drinking (other than water), smoking, dipping, chewing tobacco, writing or carving on the desks, vandalism, etc. in the classrooms.

Daily Schedule

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

Jan. 10 | Section 0.1: Functions and Their Graphs |

Jan. 12 | Section 0.2: Some Important Functions |

Jan. 15 | Martin Luther King Day (no classes) |

Jan. 17 | Section 0.3: The Algebra of Functions |

Jan. 19 | Section 0.4: Zeros of Functions–The Quadratic Formula and Factoring |

Jan. 22 | Section 0.5: Exponents and Power Functions |

Jan. 24 | Section 1.1: The Slope of a Straight Line |

Jan. 26 | Section 1.2: The Slope of a Curve at a Point |

Jan. 29 | Section 1.3: The Derivative and Limits |

Jan. 31 | Review: Sections 0.1-0.5, 1.1-1.3 |

Feb. 2 | Test 1: Sections 0.1-0.5, 1.1-1.3 |

Feb. 5 | Section 1.6: Some Rules for Differentiation |

Feb. 7 | Section 1.7: More About Derivatives |

Feb. 9 | Section 1.8: The Derivative as a Rate of Change |

Feb. 12 | Section 2.1: Describing Graphs of Functions |

Feb. 14 | Section 2.2: The First and Second Derivative Rules |

Feb. 16 | Section 2.3: The First and Second Derivative Tests and Curve Sketching |

Feb. 19 | Section 2.5: Optimization Problems |

Feb. 21 | Section 2.5: Optimization Problems |

Feb. 23 | Review: Sections 1.6-1.8, 2.1-2.5 |

Feb. 26 | Test 2: Sections 1.6-1.8, 2.1-2.5 |

Feb. 28 | Section 3.1: The Product and Quotient Rules |

Mar. 2 | Section 3.2: The Chain Rule |

Mar. 5 | Section 4.1: Exponential Functions |

Mar. 7 | Section 4.2: The Exponential Function e^{x} |

Mar. 9 | Section 4.3: Differentiation of Exponential Functions |

Mar. 12-16 | Spring Break (Take book home to study during break!) |

Mar. 19 | Section 4.4: The Natural Logarithm Function |

Mar. 21 | Section 4.5: The Derivative of ln x |

Mar. 23 | Leadership Symposium (no classes) |

Mar. 26 | Section 4.6: Properties of the Natural Logarithm Function |

Mar. 28 | Review: Sections 3.1-3.2, 4.1-4.6 |

Mar. 30 | Test 3: Sections 3.1-3.2, 4.1-4.6 |

Apr. 2 | Section 5.1: Exponential Growth and Decay |

Apr. 4 | Section 5.2: Compound Interest |

Apr. 6 | Section 6.1: Antidifferentiation |

Apr. 9 | Section 6.1: Antidifferentiation (continued) |

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

Apr. 13 | Section 6.3: The Definite Integral and Area under a Graph |

Apr. 16 | Section 6.3: The Definite Integral and Area under a Graph (continued) |

Apr. 18 | Review: Sections 5.1-5.2, 6.1-6.3 |

Apr. 20 | Test 4: Sections 5.1-5.2, 6.1-6.3 |

Apr. 23 | Review |

May 1 | (Tuesday) Final Exam, 8:00-11:00 a.m. |