MATH 143-WW

Campus

Worldwide

College of Arts & Sciences (WARSC)

MATH

143

Precalculus Essentials

3

This is a precalculus course with an emphasis on functions and their graphs, including polynomial, rational, exponential, logarithmic, and trigonometric; radian measure; trigonometric identities and equations; vectors, parametric and polar curves; sequences and series; binomial theorem. NOTE: This course is open only to students in the Engineering Feeder Initiative.

The purpose of this course is to introduce the essential skills found in the calculus sequence MA 241-243. It is intended for engineering and technical students with a strong background in algebra and right triangle trigonometry.

1. Determine the domain and range of elementary functions, including functions defined by graphs.

2. Use slope to find the equation of a line and express the rate of change of a linear function; introduce the average rate of change for a nonlinear function.

3. Recognize and calculate composite functions; find the difference quotient and inverse for a function.

4. Graph simple polynomial, rational, exponential and logarithmic functions.

5. Construct and solve simple mathematical models using elementary algebraic functions; introduce the concept of relative extrema.

6. Solve direct and inverse variation problems.

7. Convert between degree and radian measure.

8. Solve problems involving arc length, angular speed and linear speed.

9. Find the trigonometric functions for any angle, and know the values of these functions for the quadrantal and special angles, using the unit circle.

10. Define the amplitude, period and phase shift for trigonometric graphs.

11. Apply the basic trigonometric identities, along with the sum and difference formulas, double angle and half angle formulas to simplify expressions.

12. Define the domain and range of the inverse trigonometric functions and construct their graphs.

13. Solve trigonometric equations on either a restricted or a general interval.

14. Perform vector addition, subtraction and scalar multiplication.

15. Use vectors to solve displacement and force applications.

16. Consider various plane curves in parametric and polar form (optional).

17. Recognize general sequences of numbers, and express their sums using sigma notation.

18. Use the binomial theorem to expand an expression and determine a given term in an expansion.

Located on the Daytona Beach Campus, the Jack R. Hunt Library is the primary library for all students of the Worldwide Campus. The Chief Academic Officer strongly recommends that every faculty member, where appropriate, require all students in his or her classes to access the Hunt Library or a comparable college-level local library for research. The results of this research can be used for class projects such as research papers, group discussion, or individual presentations. Students should feel comfortable with using the resources of the library.

**Web & Chat**: http://huntlibrary.erau.edu

**Email:** library@erau.edu

**Text: **(386) 968-8843

**Library Phone**: (386) 226-7656 or (800) 678-9428

**Hours**: http://huntlibrary.erau.edu/about/hours.html

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Written assignments must be formatted in accordance with the current edition of the Publication Manual of the American Psychological Association (APA) unless otherwise instructed in individual assignments.

Activity | Percent of Grade |
---|---|

Input Grading Item | 100 |

90 - 100% | A |

80 - 89% | B |

70 - 79% | C |

60 - 69% | D |

0 - 60% | F |

90 - 100% | A |

80 - 89% | B |

70 - 79% | C |

0 - 69% | F |

Mr. Doug Leveque - 3/31/2015

leveqc8d@erau.edu

Johnelle Korioth, Ph.D. - 3/31/2015

korio43b@erau.edu

Johnelle Korioth, Ph.D. - 3/31/2015

korio43b@erau.edu

Dr. James Schultz – 3/31/2015

schul9fd@erau.edu

PO# | Name | Description |
---|---|---|

General Education of Arts and Sciences | PO1 - Apply knowledge of college level mathematics to defining and solving problems; PO2 - Apply statistical methods in the analysis and interpretation of data for the purpose of drawing valid conclusions relating to the solutions of problems; PO7 - Use digitally-enabled technology to organize and manipulate data, perform calculations, aid in solving problems, and communicate solutions, ideas, and concepts. |

Key: 198