**Department:** MATH

**Number:** 123

**Course Title:** Intermediate Algebra II

**Units:** 3

**Hours/Week:** Lecture: 3

**Scheduled Lab:** 0

**By Arrangement:** 1

**Length of Course**

Semester-long

Short course (Number of weeks___ )

Open entry/Open exit

**Grading**

Letter

Credit/No Credit

Grade Option (letter or Credit/No Credit)

**1. Prerequisite** (Attach Enrollment Limitation Validation
Form.)

Satisfactory completion of Math 122.

**2. Corequisite **(Attach Enrollment Limitation Validation Form.)

none

**3. Recommended Preparation** (Attach Enrollment Validation Form.)

MATH 115 and READ 830.

**4. Catalog Description** (Include prerequisites/corequisites/recommended
preparation.)

INTERMEDIATE ALGEBRA II, MATH 123

Three lecture hours plus one hour by arrangement.

Prerequisite: Satisfactory completion of MATH 122. Recommended Preparation: MATH
115 and READ 830.

Second half of a comprehensive review of elementary algebra with certain topics
studied in greater depth. Quadratic and radical equations, complex numbers,
exponential and logarithmic functions, sequences and series

**5. Class Schedule Description **(Include prerequisites/corequisites/recommended
preparation.)

INTERMEDIATE ALGEBRA II, MATH 123

Second half of a comprehensive review of elementary algebra with certain topics
studied in greater depth. Quadratic and rational equations , complex numbers ,
exponential and logarithmic functions, sequences, and series

Three lecture hours plus one hour by arrangement per week. Extra supplies may be
required.

Prerequisite: Satisfactory completion of MATH 122. Recommended Preparation: MATH
115 and READ 830.

1 September 2007 Course Outline Page 1 of 3

**6. Course Objectives** (Identify 5-8 expected learner outcomes using active
verbs.)

Upon completion of this course the student should be able to:

A. Identify and apply basic algebraic concepts including domain, range, slope ,
absolute value, scientific notation, equivalent equations, laws of exponents,
intercepts, parallel lines, perpendicular lines, horizontal lines, and vertical
lines.

B. Solve systems of linear equations in three unknowns using elimination and
substitution .

C. Solve equations and inequalities in one or two variables and involving
absolute values.

D. Solve quadratic equations by factoring , completing the square , and quadratic
formula.

E. Solve exponential and logarithmic equations.

F. Solve equations involving radicals.

G. Perform basic operations on complex numbers.

H. Fnd complex roots of a quadratic equation.

I. Sketch the graphs of functions and relations:

a. algebraic, polynomial and rational functions

b. logarithmic functions

c. exponential functions

d. circles

J. Find and sketch inverse functions.

K. Problem solve by application of linear and quadratic functions.

L. Apply the concepts of logarithmic and exponential functions.

M. Apply the properties of and perform operations with radicals.

N. Apply the properties of and perform operations with rational exponents.

O. Graph linear and quadratic functions.

P. Graph linear inequalities in two variables.

Q. Find the distance between two points.

R. Find the midpoint of a line segment.

**7. Course Content **(Brief but complete topical outline of the course that
includes major subject areas [1-2 pages]. Should reflect all course objectives
listed above. In addition, you may attach a sample course syllabus with a
timeline.)

1. Rational Expressions, Equations, and Functions.

a. Rational Expressions: Multiplying and Dividing , Adding and Subtracting.

b. Complex Rational Expressions.

c. Rational Equations.

d. Solving Applications Using Rational Equations.

e. Rational Functions.

f. Division of Polynomials

g. Formulas, Applications, and Variation.

2. Exponents and Radicals.

a. Radical Expressions and Functions.

b. Rational Numbers as Exponents.

c. Adding , Subtracting, Multiplying, Dividing, and Simplifying Radical
Expressions.

d. Radical Equations.

e. Applications.

f. The Complex Numbers.

3. Quadratic Functions and Equations.

a. Solving by Quadratic Formula, factoring, and completing the square.

b. Applications Involving Quadratic Equations.

c. Quadratic Functions and Their Graphs.

4. Exponential and Logarithmic Functions.

a. Exponential Functions.

b. Composite and Inverse Functions.

c. Logarithmic Functions.

1 September 2007 Course Outline Page 2 of 3

d. Properties of Logarithmic Functions.

e. Common and Natural Logarithms.

f. Solving Exponential and Logarithmic Equations.

g. Applications of Exponential and Logarithmic Functions.

5. Sequences, Series, and the Binomial Theorem .

a. Sequences and Series.

b. Arithmetic Sequences and Series.

c. Geometric Sequences and Series.

**8. Representative Instructional Methods **(Describe instructor-initiated teaching
strategies that will assist students in meeting course objectives. Include
examples of out-of-class assignments, required reading and writing assignments,
and methods for teaching critical thinking skills.)

a. Out-of-class assignments: students will need to complete assigned problems
and projects.

b. Reading assignments: Instructor will assign text readings prior to discussion
of a topic in class.

c. Writing assignments:

1. Students will submit written homework assignments.

2. Students may be assigned papers including mathematical modeling.

d. Critical thinking:

1. Lecture/discussion to understand problem-solving process.

2. Students will practice critical thinking in small group problem solving.

3. Students will evaluate proposed solutions in light of constraints of the
problem.

e. Resources available on CD and the Internet may be used to augment the text.

**9. Representative Methods of Evaluation **(Describe measurement of student
progress toward course objectives. Courses with required writing component
and/or problem-solving emphasis must reflect critical thinking component. If
skills class, then applied skills.)

a. Written individual assignments and/or journal- to demonstrate individual
student progress toward objectives

b. Small group presentations- to demonstrate student participation in problem
solving process

c. Written exams/quizzes - to reflect student knowledge of vocabulary, concepts,
and application of concepts to problem solving as presented in lectures and
discussion, small group sessions, and text readings.

d. Final Examination - to reflect student knowledge of vocabulary, concepts, and
applications of concepts to problem solving as presented in lectures and
discussions, small group sessions, and text readings.

e. Participation - to reflect student involvement in class discussions, small
group sessions and presentations, etc.

**10. Representative Text Materials** (With few exceptions, texts need to be
current. Include publication dates.)

Texts similar to but not limited to:

Bittinger and Ellenbogen, Intermediate Algebra, Concepts and Applications, 7^{th}
ed.

Lehmann, Intermediate Algebra, Functions and Authentic Applications, 2^{nd} ed.

Prepared by:

_________________________________

( Signature )

Submission Date: ___________________________