INTERMEDIATE ALGEBRA ( Official )
INTERMEDIATE ALGEBRA ( Official )

START CHANGE 2002-12-18 END CHANGE 2002-12-18

 

 

SECTION A

 

1. Division:

  Sciences & Mathematics

2. Course Discipline:

  MATH.

3. Course Number:

  000D

4. Course Title:

  INTERMEDIATE ALGEBRA

Administration of Justice



6.  Semester of First Offering:   2002-2003

 

 

 

SECTION B

 

 

General Course Information

 

1. Units: N/A                 Variable units 4-5

    

(*Units of credit are based on: 1 unit of credit per one hour of lecture (plus 2 hours of outside class independent study); 1 unit of credit per three hours of activity or lab.)

2. This Course is:

Associate Degree Credit - Transferable

 

3A.  Cross-List:                                        3B.  Formerly:

                                  

 

Course Format and Duration

 

4. Standard Term Hrs per Wk

      

5. Positive Attendance Total Semester Hrs

Lecture/Discussion:  

               4

 

Lecture/Discussion:  

                 

Lab:

                 

 

Lab:

                 

Activity:

                 

 

Activity:

                 

By Arrangement:

                 

 

By Arrangement:

                 

Total Hrs per Wk

               4

 

Total Hrs

                 

 

6. Hours per week of independent work done outside of class:    8

 

Course Preparation – (Supplemental form B required)

 

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

    

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)


    

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)


    

 

 

Catalog Description And Other Catalog Information

 

8. Repeatability:

Not Repeatable

    

9a. Grading Option:

Standard Grade

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.

    

 

 

Course Outline Information

 

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.)

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.

    

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

    

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.)

    

a. Reading Assignments: (Submit at least 2 examples)


    

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)


    

c. Other (Terms projects, research papers, portfolios, etc.)


    

 

 

 

SECTION D

 

General Education Information:  

1.  College Associate Degree GE Applicability:    


Math Competency

2.  CSU GE Applicability (Recommended-requires CSU approval):



3.  IGETC Applicability (Recommended-requires CSU/UC approval):  



4. CAN:  

  

 

 

SECTION E

 

Articulation Information:  (Required for Transferable courses only)

 1.  

 

CSU Transferable.  

UC Transferable.

CSU/UC major requirement.  

  

If CSU/UC major requirement, list campus and major. (Note: Must be lower division)

 

 


 2.

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.

 


 

 

SECTION F

 

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: 


 

 

SECTION G

 

1.  Maximum Class Size (recommended):                 

2.  If recommended class size is not standard, then provide rationale: