B CUSP 123
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.
Functions are the key to how mathematical models are built. Here we will explore the concept of mathematical functions and their applications. Various mathematical models will be created through the usage of real world examples. Each idea will be represented symbolically, numerically, graphically and verbally. We will focus on conceptual understanding and hands on problem solving. On completion of this course, students are expected to build strong skills in algebra, trigonometry, logarithms, exponentials, composition of functions, and graphical representations. This course serves as a prerequisite for B CUSP124 and is designed to prepare students for Calculus I.
Student learning goals
Develop strong skills in Algebra and trigonometry. Understand function notations, combination and composition of functions.
Represent linear, polynomial, exponential, logarithmic and trigonometric functions graphically, numerically, symbolically and verbally.
Use functions to model real-world data. Graphical representations and visualization.
Understand how to evaluate mathematical expressions and solve equations.
General method of instruction
Discovery and exploration. State-of-the-art learning environment and technologies. Real life illustrative examples. Interactive lectures. Hands on problem solving. Group work. Lab.
Appropriate score on the UWB math placement test (MPT). 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). Attendance Policy: Class participation is important. If you have to miss a class, let me know as soon as possible .
Class assignments and grading
Online textbook & Online homework: Functions Modeling Change, Connally, et al. 3rd edition, 2008, Wiley. Homework assignments will be posted on WileyPlus, and graded online. Students will need to purchase a registration code for this. Since the Wiley 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 wish to have that, they may purchase the hard-copy of the text, bundled with online access to WileyPlus at the UW Bookstore.
Tentative grading: Online Homework (15%), Group work/project (15%), Class Quiz (10%), two mid-terms (40%), Final exam (20%).