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Instructor Class Description

Time Schedule:

Joseph P. Benitez
B CUSP 123
Bothell Campus

Functions, Models, and Quantitative Reasoning

Explores the concept of a mathematical function and its applications. Explores real world examples and problems to enable students to create mathematical models that help them understand the world in which they live. Each idea will be represented symbolically, numerically, graphically, and verbally. Prerequisite: minimum grade of 2.5 in B CUSP 122, a score of 145-153 on the MPT-AS assessment test, or a score of 151 or higher on the MPT-GS assessment test. Offered: AWSp.

Class description

This course is designed to prepare students for calculus I and serves as a prerequisite for BCUSP 124. Upon successful completion of the course, students are expected to possess a solid understanding of functions, their manipulation and their use in mathematical models. Students will also develop and refine their skills in algebra and trigonometry.

Functions are the key to how mathematical models are built. Various mathematical models will be created and studied through the use of real world examples.

Student learning goals

Clearly understand function notation, combination of functions, and the composition of functions.

Recognize linear, polynomial, exponential, logarithmic and trigonometric functions graphically, numerically, symbolically and verbally.

Use functions to model real-world data.

Understand how to evaluate mathematical expressions, and solve equations.

General method of instruction

A typically class will consist of interactive lectures with use of examples from the text and small group work, usually involving worksheets. Regular attendance and participation is highly recommended and will be included in calculation of the final grade!

Recommended preparation

Appropriate score on the UWB math placement test (MPT) or completion of BCUSP 122 with a grade of 2.0 or greater.

Review of previous work in algebra, geometry and trigonometry.

Attendance of Algebra or Trigonometry Review Sessions at the Quantitative Skills Center (contact the QSC for more information

Class assignments and grading

Online textbook: Functions Modeling Change: A Preparation for Calculus, 4th Edition. Students may purchase a registration code to get access to the online textbook from Wiley but it is NOT required. Since that registration code includes a complete electronic version of the textbook, there is no need to buy a hard copy of the text. However, if students prefer, they may purchase a hard-copy of the text.

There will be 10 in-class worksheets, 4 quizzes, 3 exams and one comprehensive final exam. The course is not graded on a curve. Following is a rough grading scale: > 90% 3.5-4.0, 80-89% 2.5-3.4, 70-79% 1.5-2.4, 60-69% 0.7-1.4, < 60% 0.0

Grades will be determined using the following weighting: in-class worksheets (16%), quizzes (20%), 3 exams (40%), and comprehensive final exam (24%).


The information above is intended to be helpful in choosing courses. Because the instructor may further develop his/her plans for this course, its characteristics are subject to change without notice. In most cases, the official course syllabus will be distributed on the first day of class.
Additional Information
Last Update by Joseph P. Benitez
Date: 07/05/2013