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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 in-depth 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 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.

  • Syllabi Listing See ALL Quarters
    Course
    Year Quarter
    Item
    Instructor  
    MATH& 141
    Fall 2014
    1482
    Julianne Sachs
    MATH& 141
    Spring 2014
    0839
    Gary Owsley
    MATH& 141
    Spring 2014
    1700
    Julianne Sachs
    MATH& 141
    Spring 2014
    9607
    Daniel Colby
    MATH& 141
    Winter 2014
    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.