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 |
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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