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Intermediate Algebra

6. CATALOG COURSE DESCRIPTION -- Provide a description of the course, including an overview of the topics covered:

Linear equations and inequalities , systems of linear equations and Gaussian
elimination, quadratic equations , polynomials and rational expressions, exponents
and radicals. Functions and their graphs, including linear, quadratic and
exponential functions; logarithms, polynomials and algebraic fractions . Modeling
and problem solving. Sequences, conic sections , and complex numbers.

7. CLASS SCHEDULE COURSE DESCRIPTION -- Provide a brief description of the course, including an overview of the
topics covered:

Linear equations and inequalities, systems of linear equations and Gaussian
elimination, quadratic equations, polynomials and rational expressions, exponents
and radicals. Functions and their graphs, including linear, quadratic and
exponential functions; logarithms, polynomials and algebraic fractions. Modeling
and problem solving. Sequences, conic sections, and complex numbers .

8. COLLEGE APPROVAL DATE:

9. UPDATES (check all applicable boxes):

Content Last Update: Jan. 17, 2005
Objectives Last Update: Jan. 17, 2005
College Specific Course Attributes/Data Elements Last Update:
Districtwide Course Attributes/Data Elements Last Update:
Other (describe) Last Update:

10. CLASS HOURS:

  Hours per week (based on 18 weeks) Total Hours per term (hrs per week x 18) Units
Lecture: 5.00 90.00 5.00
Lab/activity (w/ homework):      
Lab/activity (w/o homework):      
Total: 5.00 90.00 5.00

Note: The Carnegie Rule and Title 5, section 55002 sets forth the following minimum standards: 1 unit = 1 hour lecture per week, 2 hours homework per week; OR 2 hours per week of lab with homework; OR 3 hours of lab per week without homework.
The hours per week are based on a standard 18-week calendar. Lecture also includes discussion and/or demonstration
hours, laboratory includes activity and/or studio hours.

11. PREREQUISITES, COREQUISITES, ADVISORIES ON RECOMMENDED PREPARATION, and LIMITATION
ON ENROLLMENT

Note: The LACCD’s Policy on Prerequisites, Corequisites and Advisories requires that the curriculum committee take a
separate action verifying that a course’s prerequisite, corequisite or advisory is an “appropriate and rational measure of a student’s readiness to enter the course or program” and that the prerequisite, corequisite or advisory meets the level of scrutiny delineated in the policy.

Prerequisites: Yes (If yes, complete information below)

Subject Number Course Title Units Validation Approval
Date (for official use
only)
Math 115 Elementary
Algebra
5  
         
         
         

Corequisite: None (If yes, complete information below)

Subject Number Course Title Units Validation Approval
Date (for official use
only)
         
         
         
         

Advisories: None (If yes, complete information below)

Subject Number Course Title Units Validation Approval
Date (for official use
only)
         
         
         
         

12. OTHER LIMITATIONS ON ENROLLMENT (see Title 5, section 58106 and Board Rule 6803 for policy on allowable
limitations. Other appropriate statutory or regulatory requirements may also apply):

SECTION II: COURSE CONTENT AND OBJECTIVES

1. COURSE CONTENT AND OBJECTIVES:

COURSE CONTENT AND SCOPE –Lecture:
If applicable, outline the topics included in the lecture
portion of the course (Outline reflects course
description, all topics covered in class).
Hours
per topic
COURSE OBJECTIVES - Lecture (If applicable):
upon successful completion of this course, the
student will be able to… (Use action verbs – see
Bloom’s Taxonomy below for “action verbs requiring
cognitive outcomes.”)
1. Review of Algebra Topics
  a. Solving linear equations and
inequalities
  b. Factoring
  c. Cartesian coordinate system
2 Upon successful completion of this
course, the student will be able to:

1. Solve linear equations and
inequalities
2. Write an equation for a linear
model
3. Graph linear equations
4. Interpret the parameters of a
linear model, including slope
5. Solve problems involving parallel
and perpendicular lines
6. Graph the solutions to a system of
linear inequalities and find the
vertices of the solution set
7. Solve 2x2 and 3x3 systems of
linear equations
8. Solve applied problems using
systems of equations
9. Write an equation for a quadratic
model
10. Solve quadratic equations and
inequalities
11. Graph quadratic equations
12. Recognize whether a table of
values, a graph, an equation, or a
verbal description represents a
function
13. Describe variable relationships
with function notation
14. Read and interpret function
values from a graph
15. Model direct and inverse
variation
16. Model exponential growth and
decay
17. Graph exponential functions
18.Solve exponential and logarithmic
equations
19. Simplify expressions using the
properties
of logarithms
20. Use logarithmic models in
applications
21. Simplify expressions involving
exponents or radicals
22. Convert between exponential and
radical notation
23. Solve equations involving power
functions
24. Solve radical equations
25. Use the distance and midpoint
formulas to solve problems
26. Perform operations on polynomials
27. Factor the sum and difference of
cubes
28. Perform operations on algebraic
fractions
29. Simplify complex fractions
30. Solve equations involving
algebraic fractions
31. Graph simple rational functions
and identify asymptotes
32. Evaluate the general term of a
sequence

33. Identify arithmetic and geometric
sequences
34. Evaluate a sequence given in
recursive form
35. Graph conic sections
36. Formulate equations for conic
sections

2. Linear Equations and Inequalities
  a. Linear models
  b. Graphing linear equations
  c. Slope
  d. Parallel and perpendicular lines
  e. Systems of linear inequalities
15
3. Linear Systems
  a. Solving 2x2 systems graphically
and algebraically
  b. Dependent and inconsistent systems
  c. 3x3 systems and Gaussian
elimination
  d. Applications to problem solving
8
4. Quadratic Equations
  a. Quadratic models
  b. Solving quadratic equations
  c. Completing the square
  d. Graphing quadratic equations
  e. Quadratic inequalities
  f. Complex numbers
15
5. Functions
  a. Definition and notation
  b. Graphs of functions
  c. Direct and inverse variation
  d. Modeling with functions
10
6.Exponential and Logarithmic Functions
  a. Exponential growth and decay
  b. Graphs of exponential functions
  c. Exponential equations and logarithms
  d. Properties of logarithms
  e. Applications
10
7. Powers and Roots
  a. Integer and rational exponents
  b. Power functions
  c. Distance and midpoint formulas
  d. Simplifying radical expressions
  e. Radical equations
10
8. Polynomial and Rational Functions
  a. Operations on polynomials
  b. Factoring sum and difference of cubes
  c. Operations on algebraic fractions
  d. Complex fractions
  e. Graphs of polynomials and simple
rational functions, asymptotes
10
9. Sequences
  a. Arithmetic and geometric sequences
  b. Sequences in recursive form
5
10. Conic Sections
This course may also include
  1. Solving systems with matrices
  2. Absolute value equations and inequalities
  3. The discriminant
  4. The natural base
  5. Operations on complex numbers
5
Total lecture hours* 90

*Total lecture and laboratory hours (which includes the final examination) must equal totals on page 1.

2. REQUIRED TEXTS:
Provide a representative list of textbooks and other required reading; include author, title and date of publication:

Intermediate Algebra: Functions and Graphs, Yoshiwara
Intermediate Algebra, Lial/Miller
Intermediate Algebra, Gustafson
Intermediate Algebra, Bittinger/Keedy

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