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Master
Course Outline
MATH 109
Precalculus I
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| Credits: 5 |
Clock Hours per Quarter: 50
AA Discipline: [Quantitative] [Natural Sciences]
Lecture Hours:50
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Description
The first in a series of two courses designed to provide an in-depth study of algebra to prepare students for advanced mathematics courses. Graphical analysis of concepts is emphasized through the use of graphing calculators. Topics include working with algebraic expressions, solving equations algebraically and graphically, and a detailed analysis of the algebraic and graphical properties of various functions. Prerequisite: Grade of C- or higher in MATH 095 or permission of the Mathematics Department. |
Intended Learning Outcomes
Analyze the following families of functions. Special attention should
be given to analyzing their properties including, but not limited to, domains,
ranges, roots, shape, and graphical properties.
a. Linear and quadratic functions.
b. Power and root functions.
c. Exponential and logarithmic functions.
d. General polynomial functions. Pay special
attention to the connection between linear factors of the polynomial and
rational x-intercepts of the graph (rational roots).
e. Rational functions.
f. Piecewise defined functions.
g. Functions and their inverses.
Successfully apply the following actions from each family listed above both
in an algebraic context as well as a graphical context.
a. The arithmetic operations addition, subtraction,
multiplication, and division.
b. Function composition.
c. Transformations and translations of the type A f(Bx
+ C) + D where f is a function from the families listed above and A, B,
C, & D are real numbers.
Solve equations and inequalities graphically and/or
algebraically from the following families. Graphical
techniques should include both (1) intersections of f(x) = left side and g(x)
= right side and (2) finding roots numerically of h(x) = (left side) –
(right side).
a. Polynomial equations/inequalities.
b. Exponential and logarithmic equations/inequalities.
c. Equations/inequalities involving roots.
d. Equations/inequalities involving rational polynomial
expressions.
Graphing calculator skills integrated into the course include, but are not limited to, the following.
a. Finding a viewing window giving the complete graph of a function by zooming in and/or out as needed. Changing viewing window coordinates manually is also necessary.
b. Using the trace feature to read coordinates from a graph.
c. Finding x-intercepts using the built-in numerical root routine of the calculator.
d. Plotting multiple functions and determining intersections.
e. Understand how to draw an accurate sketch of the graph of a function using the graph displayed by the calculator.
f. Understand the limitations of calculator drawn graphs; especially in the context of domains and ranges.
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Syllabi
Listing
See ALL Quarters
| Course |
Year
Quarter
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Item
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Instructor |
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| MATH 109 |
Winter 2009 |
1473 |
Steve Schwartz |
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| MATH 109 |
Winter 2009 |
1472 |
Benjamin Van Dyke |
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| MATH 109 |
Winter 2009 |
6555 |
Benjamin Van Dyke |
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| MATH 109 |
Fall 2008 |
1473 |
Julianne Sachs |
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| MATH 109 |
Fall 2008 |
1471 |
Larry Brown |
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Two Year Projected Schedule
| Year
One* |
Year
Two** |
Fall |
Winter |
Spring |
Summer |
Mini |
Fall |
Winter |
Spring |
Summer |
Mini |
X
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X
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X
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X
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X
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X
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*If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
**If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.
printable version
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