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1. Division:

  Sciences & Mathematics

2. Course Discipline:


3. Course Number:


4. Course Title:


5. First semester this new version/new course will be offered: Fall 2013




General Course Information


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

2. This Course is:

Degree-Applicable Credit - Non-Transferable


3A.  Cross-List: 


3B.  Formerly:




Course Format and Duration


4. Standard Term Hrs per Wk


5. Standard Term Total Semester Hrs


         4 - 5



      72 - 90











By Arrangement:



By Arrangement:


Total Hrs per Wk

         4 - 5


Total Hrs

      72 - 90


6. Minimum hours per week of independent work done outside of class:    8 - 10


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.)

Completion of MATH A with 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

Please Note: 8. (Repeatability) does not refer to repeating courses because of substandard grades or a lapse of time since the student took the course. A course may be repeated only if the course content differs each time it is offered and the student who repeats it is gaining an expanded educational experience as stipulated in Title 5.


Skills or proficiencies are enhanced by supervised repetition and practice within class periods.

Active participatory experience in individual study or group assignments is the basic means by which course objectives are attained.

Course content differs each time it is offered.


Explanation for above repeatability selection:


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.




Course Outline Information


10. Course Objectives: (Course objectives for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Course objectives must be related to items listed in Section 11.)

1. Solve equations including linear, quadratic, polynomial, rational and absolute value types, exponential, logarithmic, or radical types, and their associated applied problems.
2. Solve inequalities including linear, quadratic, polynomial, rational and absolute value.
3. Graph and perform transformations on the following: linear, quadratic, exponential, logarithmic, absolute value, cubic, and square root functions.
4. Find the equation of a line given sufficient information about the line.
5. Utilize function notation, perform operations on functions, determine if a function is invertible, and find the inverse of functions.
6. Simplify and perform computations with scientific notation.
7. Simplify and perform operations on complex numbers and solve equations with non-real solutions.
8. Simplify and perform operations on algebraic expressions including polynomials, rational expressions, complex fractions, radicals, rational and integral exponents, and logarithms.
9. Analyze polynomial expressions to determine the best approach to factoring and complete factorization using that technique.
10. Solve linear systems of equations and inequalities with two variables and applied problems associated with such systems.
11. Solve linear systems of equations with three variables and applied problems associated with such systems.
12. Analyze and determine the domain for polynomial, radical, rational, logarithmic and exponential functions.


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.)

A.Sets of real numbers
B.Simplify algebraic expressions
C.Order of operations
D.Properties of integral exponents
E.Multiply and divide with scientific notation

2.Linear Equations in 1 variable
A.Solving linear equations
B.Solving applied problems
C.Solving literal equations

A.Define relations and functions
B.Find domain and range
C.Interval notation
D.Operations on functions
E.Graphing and vertical line test
F.Function notation
G.Composite and inverse functions

4.Linear Equations in 2 variables
A.Slope of a line
B.Parallel and perpendicular
C.Equations of lines (point slope, slope intercept and standard form)
D.Graph linear equations
E.Graph linear inequalities
F.Solve applied problems

5.Systems of equations
A.Solve systems of linear equations in 2 variables
B.Solve systems of linear equations in 3 variables
C.Solve systems of non-linear equations
D.Solve applied problems

A.Solve linear inequalities including interval notation
B.Solve compound inequalities
C.Solve systems of linear inequalities in 2 variables

7.Absolute Value
A.Solve absolute value equations
B.Solve absolute value inequalities
C.Graph and perform transformations of absolute value functions

A.Add, subtract and multiply polynomials
B.Divide polynomials by monomials and binomials
C.Calculate degree of polynomials in several variables
D.Solve polynomial equations
E.Solve applied problems

9.Factor polynomials completely
A.Greatest common factor
B.Difference of squares, sum and difference of cubes

10.Rational expressions, functions and equations
A.Simplify using four basic operations
B.Simplify complex rational expressions
C.Solve rational equations
D.Find domain of rational functions
E.Solve applied problems

11.Radicals, radical functions and rational exponents
A.Simplify radical expressions
B.Add, subtract and multiply radical expressions
C.Rationalize denominators
D.Solve radical equations
E.Find domain of radical functions
F.Simplify expressions containing rational exponents
G.Graph and perform transformations of square root functions
H.Perform 4 basic operations on complex numbers

12.Quadratic functions
A.Solve equations with real and non-real solutions using quadratic formula, completing the square, factoring and the square root methods
B.Solve equations quadratic in form
C.Graph and perform transformations of square root functions
D.Solve applied problems

A.Solve polynomial inequalities
B.Solve rational inequalities

14.Exponential and Logarithmic Functions
A.Properties of exponential and logarithmic functions
B.Find domain of exponential and logarithmic functions
C.Graph and perform transformations of exponential and logarithmic functions
D.Know the relationship between exponential and logarithmic functions
E.Solve exponential and logarithmic equations
F.Solve applied problems


12. Typical Out-of-Class Assignments: Credit courses require two hours of independent work outside of class per unit of credit for each lecture hour, less for lab/activity classes.  List types of assignments, including library assignments.)


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

1. Find and read an article about the Richter scale. Note how it relates to the logarithms that we have studied in class.

2. Find and read an article that discusses very large or very small numbers in an applied setting. Note how these numbers are more easily represented in scientific notation versus decimal notation.


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

1. Solve applied mathematical problems that use exponential models. Example: Assume that on the day you were born your uncle put $8000 into an account that grew at a rate of 3.7% annual interest compounded continuously. How much money would you have in the account on your 21st birthday?

2. Solve an applied mathematics problem using a system of equations. Example: A wine company needs to blend a California wine with a 5% alcohol content and a French wine with a 9% alcohol content to obtain 200 gallons of wine with 6.5% alcohol content. How many gallons of each kind of wine must be used?


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


13. Required Materials:

a. All Textbooks, resources and other materials used in this course are College Level?




b. Representative college-level textbooks (for degree-applicable courses) or other print materials.

Book 1:




  Intermediate Algebra for College Students



Date of Publication:




Book 2:


  Lial, Hornsby, and McGinnis


  Intermediate Algebra



Date of Publication:




Book 3:







Date of Publication:




Book 4:







Date of Publication:




Book 5:







Date of Publication:




c. Other materials and/or supplies required of students:


Methods of Instruction


14a. Check all instructional methods used to present course content.


Laboratory and/or Activity

Distance Learning (requires supplemental form)


   Co-op learning


14b. Provide specific examples for each method of instruction checked above; include a minimum of two examples total. Reference the course objective(s) addressed by instructional method(s). Explain both what the instructor and students are expected to be doing and experiencing.

1. In class small group collaborative learning activity - students will discuss the strategies for factoring different types of polynomial expressions and create a flow chart to help them determine the best approach. Given a list of polynomials, they will use their flow chart to determine the complete factorization. The instructor will circulate and ask clarifying questions as the students complete this task.

2. Interactive lecture format to develop the concept of what a function is, and analyze the properties of the different types of functions (linear, quadratic, radical, rational). To help students see the commonalities and differences between each type of function, instructor will incorporate algebraic analysis through equations, visual analysis through graphing, and numerical analysis through evaluation. Students will participate verbally and by working various examples.




15. Methods of Assessing Student Learning  


15a.  Methods of Evaluation:


Essay Examinations

Objective Examinations

Problem Solving Examinations

Skill Demonstrations



Classroom Discussions




Other (explain below)







15b. Based upon course objectives, give examples of how student performance will be evaluated. Provide examples for each method checked above; include a minimum of two examples total.




Example 1: Given a quadratic equation, determine which strategies could be used to solve it. Choose the most efficient method and solve the equation. This problem is graded based on the completeness and correctness of the strategy used and the solutions found.

Example 2: Given y as a function of x, determine whether or not the function has an inverse. If it does, find the inverse of the function. This question is graded based on the clarity, completeness, and correctness of the method used and of the solutions found.












1. Program Information:  

In an approved program.  

Part of a new program.

Not part of an approved program.  

2. Course TOP Code:

   Program title - TOP Code:  

Mathematics, General- 170100


3. Course SAM Code:

 A  Apprenticeship

 B  Advanced Occupational

 C  Clearly Occupational

 D  Possibly Occupational

 E  Non-Occupational


4. Faculty Discipline Assignment(s):










General Education Information:  

1.  College Associate Degree GE Applicability:    

Math Competency
Communication & Analytic Thinking

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

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

4. C-ID:  






Articulation Information:  (Required for Transferable courses only)



CSU Transferable.  

UC Transferable.

CSU/UC major requirement.  


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




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.






Planning and Resources - Please address the areas below:  

1. Evidence of Planning: connection to existing or planned degrees/certificates, place in general education; relationship to mission (basic skills, transfer, career technical education, lifelong learning); transfer university requirements; advisory/regional/national needs; or other planning considerations.

Required as a prerequisite for any transferable mathematics course. Additionally, it meets the Mathematics requirement for achieving an Associate Degree.
Required as a prerequisite for any transferable mathematics course. Additionally, it meets the Mathematics requirement for achieving an Associate Degree.
Meets GE applicability for Mathematics Competency and Communication and Analytical Thinking. Course includes all four Math program SLO's (Equations and Expressions, Visual Models, Applied Problems, Communication).

2. Potential Impact on Resources: faculty, facilities, computer support/lab, library, transportation, equipment, or other needs.
All math faculty members meet the minimum qualifications to teach this course. No special training is required.
No additional resources are needed since we have the classroom space and technology already available.





1.  Maximum Class Size (recommended):              35

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