
Master
Course Outline
MATH& 141
Precalculus I

Credits: 5 
Clock Hours per Quarter: 50
AA Discipline: [Quantitative] [Natural Sciences]
Lecture Hours:50

Description
The first in a series of two courses designed to provide an indepth study of functions to prepare students for advanced mathematics courses. Graphical analysis of concepts is emphasized through the use of technology. 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 080F, appropriate score on placement test or permission of the Mathematics Department. Formerly MATH 109, Precalculus I. 
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 xintercepts 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 xintercepts using the builtin 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.


Syllabi
Listing
See ALL Quarters
Course 
Year
Quarter

Item

Instructor 

MATH& 141 
Fall 2016 
7165 
Julianne Sachs 

MATH& 141 
Fall 2016 
9607 
Daniel Colby 

MATH& 141 
Fall 2016 
5641 
Jeff Lucas 

MATH& 141 
Spring 2016 
7187 
Julianne Sachs 

MATH& 141 
Spring 2016 
9607 
Daniel Colby 


Two Year Projected Schedule
Year
One* 
Year
Two** 
Fall 
Winter 
Spring 
Summer 
Mini 
Fall 
Winter 
Spring 
Summer 
Mini 
X

X

X



X

X

X




*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.

