6.
Hours per week of independent work done outside of
class: 8
Course
Preparation (Supplemental form B
required) |
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7a.
Prerequisite(s):
(Course and/or other preparation/experience that
is REQUIRED
to be completed previous to enrollment in this
course.) |
One year of high school
algebra or Math. A or equivalent with a grade of
"C" or better, or placement by matriculation
assessment process
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7b.
Co-requisite(s): (Courses
and/or other preparation that is REQUIRED to be
taken concurrently with this
course.) |
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7c.
Advisory:
(Minimum preparation RECOMMENDED
in order to be successful in this
course. Also known as Course
Advisory.) |
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Catalog
Description And Other Catalog Information
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8.
Repeatability: |
Not Repeatable
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9a.
Grading Option: |
Standard Grade
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9b.
Catalog Description: |
Exponents, radicals,
complex numbers, factoring, linear and quadratic
equations and inequalities; linear, quadratic,
exponential and logarithmic functions; graphing,
and systems of equations. A continuation of Math
A; equivalent to the second year of high school
algebra. The 4-unit option is the traditional
lecture style. The 5-unit option is an
"individualized" approach that is open
entry/open exit. It incorporates mastery
learning with other methods of instruction. A
maximum of 120 hours is allowed for completion
of the class.
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Course
Outline Information |
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10.
Student Performance Outcomes:
(Outcomes for all credit courses must
indicate that students will learn critical
thinking and will be able to apply concepts at
college level. Outcomes must be
related to items listed in Section 11.)
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1. execute basic algebraic
operations with real numbers and algebraic
expressions; 2. show equivalent algebraic
expressions involving numbers, variables,
radicals, exponents, logarithms, rational
expressions and absolute value, using
properties of equality, order of
operations, properties of exponents/radicals,
and the properties of real numbers; 3. solve
equations and inequalities;
including equations/inequalities that are
linear, quadratic, polynomial or contain
absolute value, exponents, logarithms, rational
expressions or radicals and their associated
word problems; 4. solve systems of equations
with two variables and word
problems associated with such systems; 5.
solve systems of equations with three variables
and word problems associated with such
systems, as time permits; 6. graph linear
equations and inequalities in one or two
variables, graph circles and equations that
are functions, find the intercepts and
associated points, such as center of circle or
vertex or parabola, for the graphs; 7.
find the equation of a line; 8. utilize
function notation and be able to find the
inverse of a function; and 9. execute
operations with complex numbers.
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11.
Course Content Outline:
(Provides a comprehensive, sequential outline of
the course content, including all major subject
matter and the specific body of knowledge
covered.) |
I. Sets and Real
Numbers A) Review Sets of Numbers, Operations
of Real Numbers and Properties of Real
Numbers II. First Degree Equations and
Inequalities A) Review Solving Linear
Equations and Inequalities B) Solve Word
Problems Associated with Linear Equations
and Inequalities C) Solve Associate
Absolute Value Equations III. Functions and
Introductions to Graphing A) Review the
Rectangular Coordinate System B) Graph
Equations 1) point plotting 2) lines 3)
utilizing shifting, mirror image and
stretching techniques C) Define Relations
and Functions 1) domain and range 2)
function notation and its uses 3) vertical
line test D) Find the Equation of a
Line 1) determine slope; discuss parallel,
perpendicular, zero slope and undefined
slope IV. Polynomials A) Operations on
Polynomials B) Factor Polynomials 1)
greatest common factor 2) difference of two
squares 3) sum/difference of cubes 4)
grouping 5) trinomials C) Solve Polynomial
Equations by Factoring V. Rational
Expressions A) Simplify Rational
Expressions B) Operations on Rational
Expressions C) Solve Equations with Rational
Expressions and Associated Word
Problems VI. Exponents, Roots and
Radicals A) Properties of Exponents and
Scientific Notation B) Operations on
Radicals C) Solving Radical Equations and
Associated Word Problems D) Complex
Numbers VII. Quadratic Equations and
Inequalities A) Solve Quadratic Equations and
Associated Word Problems 1) factoring 2)
extraction of roots 3) completing the
square 4) quadratic formula B) Graph
Quadratic Functions 1) find intercepts and
vertex C) Solve Quadratic and Rational
Inequalities, Graph Solutions VIII.
Exponential and Logarithmic Expressions and
Functions A) Operations with Exponential and
Logarithmic Expressions B) Properties of
Logarithms C) Solve Equations with
Exponential and Logarithmic Expressions and
Associated Word Problems D) Graph Exponential
and Logarithmic Functions E) Inverse
Functions IX. Systems of Equations and
Inequalities A) Solve Systems of Equations in
Two Variables Including Cramer''s Rule, Three
Variables Time Permitting B) Solve Systems of
Linear Inequalities by Graphing
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12.
Typical Assignments:
(Credit courses require two hours of
independent work outside of class per unit of
credit for each lecture hour. List types of
assignments, including library assignments.)
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a.
Reading Assignments:
(Submit at least 2 examples)
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b.
Writing, Problem Solving or
Performance:
(Submit at least 2 examples)
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c.
Other
(Terms projects, research papers, portfolios,
etc.) |
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Program title - TOPS Code: |
Mathematics,
General - Non-majors- 170110
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SECTION
D |
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General
Education Information: |
1. College
Associate Degree GE
Applicability: |
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Math
Competency
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2. CSU
GE Applicability (Recommended-requires CSU
approval): |
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3. IGETC
Applicability (Recommended-requires CSU/UC
approval): |
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4.
CAN: |
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SECTION
E |
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Articulation
Information: (Required
for Transferable courses only)
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1. |
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CSU
Transferable. |
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UC
Transferable. |
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CSU/UC
major requirement. |
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If
CSU/UC major requirement, list campus and major.
(Note: Must be lower division) |
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2.
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List
at least one community college and its
comparable course. If requesting CSU
and/or UC transferability also list a CSU/UC
campus and comparable lower division
course. |
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SECTION
F |
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Resources: |
Please
consider the identified concerns below:
1.
Library: Please
identify the implications to the
library
2.
Computer Support Services: Please
identify the implications to Computer Support
Services:
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SECTION
G |
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1. Maximum
Class Size (recommended):
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2. If
recommended class size is not standard, then
provide rationale: |
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