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Official Course
Description: MCCCD Approval: 4-27-2004 |
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MAT150 2004 Fall - 9999 |
LEC 5.0
Credit(s) 5.0 Period(s) 5.0 Load Acad |
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College
Algebra / Functions |
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Analysis and interpretation of the behavior and nature of
functions including polynomial, rational, exponential, logarithmic, power,
absolute value, and piecewise-defined functions; systems of equations,
modeling and solving real world problems. Additional topics may include
matrices, combinatorics, sequences and series, and
conics. Prerequisites: Grade of C or better in
MAT120, or MAT121, or MAT122, or equivalent, or satisfactory score on
District placement exam. |
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Course
Notes: Students
may receive credit for only one of the following: MAT150, MAT151, MAT152, or
MAT187. Course
Attribute(s): General
Education Designation: Mathematics - [MA] |
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Go to Competencies Go to Outline
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MCCCD
Official Course Competencies: |
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MAT150 2004
Fall - 9999 |
College Algebra / Functions |
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1.
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Analyze and
interpret the behavior of functions, including end behavior, increasing and
decreasing, extrema, asymptotic behavior, and
symmetry. (I, II, III) |
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2.
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Solve polynomial, rational, exponential, and logarithmic
equations analytically and graphically. (I, II, III) |
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3.
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Find real and complex zeros of polynomial functions
analytically and graphically. (II) |
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4.
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Graph polynomial, rational, exponential, logarithmic,
power, absolute value, and piecewise-defined functions. (I, II, III) |
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5.
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Determine
domain and range of polynomial, rational, exponential, logarithmic, power,
absolute value, and piecewise-defined functions. (I, II, III) |
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6.
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Use transformations to graph functions. (I, II, III) |
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7.
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Perform operations, including compositions, on functions
and state the domain of the resulting function. (I, II, III) |
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8.
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Determine whether a relation is a function when
represented numerically, analytically, or graphically. (I, II, III) |
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9.
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Determine whether a function is one-to-one when
represented numerically, analytically, or graphically. (I, II, III) |
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10.
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Determine the inverse of a relation when represented
numerically, analytically, or graphically. (I, II, III) |
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11.
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Classify functions by name when represented numerically,
analytically, or graphically. (I, II, III) |
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12.
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Determine regression models from data using appropriate
technology and interpret results. (I, II, III) |
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13.
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Read and interpret quantitative information when presented
numerically, analytically, or graphically. (I, II, III, IV) |
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14.
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Justify and interpret solutions to application problems.
(I, II, III, IV, V) |
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15.
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Compare alternative solution strategies. (I, II, III, IV) |
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16.
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Calculate and interpret average rate of change. (I, II,
III) |
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17.
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Model and solve real world problems. (I, II, III, IV, V) |
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18.
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Solve systems of three linear equations in three
variables. (IV) |
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19.
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Solve systems of linear inequalities. (IV) |
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20.
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Communicate process and results in written and verbal
formats. (I, II, III, IV, V) |
Go to Description Go to top of
Competencies
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MCCCD
Official Course Outline: |
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MAT150 2004
Fall - 9999 |
College Algebra / Functions |
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I. Behavior and Nature of
Functions A. Graphic, numeric, and algebraic
representations B. Characteristics of basic
functions C. Properties, operations,
transformations, and inverses of functions II. Polynomial and Rational
Functions A. Polynomial and rational
equations B. Graphs of polynomial and
rational functions C. Applications III. Exponential and
Logarithmic Functions A. Exponential and
logarithmic equations B. Graphs of exponential
and logarithmic equations C. Applications IV. Systems of Equations
and Inequalities A. Linear systems B. Applications V. Departments must include
one or more of the following topics in their courses A. Matrices B. Combinatorics
C. Sequences and series D. Conics |
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Go to Description Go to top of
Competencies Go to top of Outline