Course outcomes for Math 102, 103, and 105
These documents are currently being considered by the curriculum committee:
MATH 102 Course Revision 1-27-12
Math 102 Course Outcomes 1-27-12
UPDATE: what about the proposal below for a course description of Math 102?
Revisits concepts such as linear and quadratic equations and graphs, from the point of view of a ‘new’ concept: functions. Emphasis is placed on multiple representations of functions and their use as models for applications. Other topics include, but are not limited to, systems of equations and radical expressions.
The next step is to discuss the course outcomes for Math 103; Below is a proposal:
The current catalog description for Math 103:
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MATH 103 (5 CR)
PRECALCULUS I
Covers data analysis, functions as mathematical models, linear functions and their graphs, quadratic functions and their graphs, cubic functions and their graphs, inverse functions and their graphs, exponential and logarithmic functions and their graphs.
Prerequisite: MATH 102 or Placement test. (QS, NS)
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(PROPOSED) MATH 103 (5 CR)
PRECALCULUS I
Students will become familiar with: linear, quadratic, cubic functions and exponential functions, their multiple representations, and their use as models for concrete situations; inverse functions, with an emphasis on logarithms; and linear transformations of functions and their graphs. Includes an introduction to linear regression.
Prerequisite: C or better in MATH 102 or Placement test. (QS, NS)
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(PROPOSED) COURSE OUTCOMES: Math 103
-Define and recognize functions in their multiple representations (equations, tables, graphs) and evaluate them.
-Find and interpret the slope, intercepts, and points of a linear model for a set of data; make predictions using the model and interpret the results.
-Use functions to create a mathematical model for a realistic situation, state a reasonable domain for the situation, and use a calculator to find the extrema of the model.
-Solve equations involving linear, quadratic, rational, radical, literal, exponential, and logarithmic functions as well as functions defined by a table or graph.
-Define and apply the characteristics of the domain and graph of polynomial, rational, radical, exponential, and logarithmic functions as well as functions defined by graphs, tables, compositions, or inverses, including functions that are defined piece-wise.
-Use knowledge of f(x) to describe or sketch the graph of y = a∙ f(b(x + c)) +d, y= , y = |f(x)|, y = (f(x))-1, or y = f(|x|)
-Find and compose the inverses of functions defined as equations, graphs, tables, or words; in particular, compute f(f-1(x)) and f-1(f(x)), and explain the difference between them (if any).
-Define and use logarithms and their properties
-Define compound interest and how it relates to exponential functions; draw mathematical conclusions based on problems that involve it as a concept.
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Below are the course outcomes for the equivalent classes currently taught at WWU.
Math 112 (WWU) is our Math 102, Math 114 (WWU) is our Math 103, and Math 115 (WWU) is our Math 105.
in the word document, i have added some comments, which you should feel free to ask questions about or disagree with!