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