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Official Course
Description: MCCCD Approval: 4-27-04 |
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MAT152
2004 Fall – 2005 Fall |
LEC |
3.0 Credit(s) |
3.0 Period(s) |
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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
Note: Students
may receive credit for only one of the following: MAT150, MAT151, MAT152, or
MAT187. |
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Go to Competencies Go to Outline
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MCCCD
Official Course Competencies: |
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MAT152 2004
Fall – 2005 Fall |
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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MAT152 2004
Fall – 2005 Fall |
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