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Course Syllabus for Intermediate Algebra
Course Description: This course is designed to
prepare the student for college algebra. It
covers firstdegree equations and inequalities , linear functions, systems of
linear equations,
polynomials, factorization, rational expressions , negative and rational
exponents, radicals,
quadratic equations, graphing functions , logarithms, and application problems.
Prerequisite: MATH 025/010 with C grade or higher, or Math Placement Test
(COMPASS
Algebra score of 41 or higher).
Textbook and Supplies:
• Intermediate Algebra , 4^{th} edition (Student Support Edition), by
Larson/Hostetler,
published by Houghton/Mifflin.
•
Scientific calculator (Graphing calculators are acceptable, but not required.)
Course Objective: Students who complete Math 108, Intermediate Algebra, will
have a strong
understanding of the topics listed in the course description and in the detailed
list of course
outcomes. This course will prepare students for Math 130, Math 143, Math 147 and
other
courses which have an Intermediate Algebra prerequisite.
Outcomes Assessment: Daily assignments, exams, and a comprehensive final exam
will be
used to assess how well students achieve the expected course outcomes.
Exams as well as
student evaluations will be analyzed to help improve curriculum
and instruction for the course.
Also, regular informal feedback will be
solicited in an effort to improve the class as it progresses.
The course content includes:
a. Rational numbers (addition, subtraction, multiplication, and division)
b. Variable expressions (simplify, translate, evaluate)
c. Operations on sets of numbers (union, intersection)
d. Setbuilder notation and interval notation
e. First degree equations in one variable (solve, translate from application
problems such as percent
problems, mixture problems, business related problems,
uniform motion problems, investment
problems)
f. First degree inequalities ( solve and graph simple,
compound)
g. Linear functions (evaluate, graph, find slope)
h. Find length and midpoint of a segment
i. Write the equations for lines (including parallel lines and perpendicular
lines)
j. Solve systems of linear equations (use graphs, substitution method, addition
method)
k. Polynomials (add, subtract , multiply , divide using long division and
synthetic division, evaluate, factor)
l. Solve polynomial equations by factoring
m. Simplify exponential expressions having integer and variable exponents
n. Scientific notation
o. Expressions with rational exponents (simplify, change to radical form)
p. Radical expressions (simplify, add, subtract, multiply, divide )
q. Complex numbers (simplify, add, subtract, multiply, divide)
r. Solve equations containing radicals
s. Functions (domain, range, graph, use vertical line test, add, subtract,
multiply, divide, find inverse, do
composition of functions)
t. Rational expressions (find the domain, simplify, multiply, divide, add,
subtract, simplify complex
fractions)
u. Solve rational equations (including application problems like work problems,
uniform motion
problems, proportions, variations, and literal equations )
v. Solve quadratic equations (use factoring, completing the square, and
quadratic formula)
w. Solve equations that are quadratic in form
x. Solve quadratic and rational inequalities
y. Parabolas (find axis of symmetry, vertex, xintercepts, graph)
z. Exponential functions (evaluate, graph)
aa. Logarithms ( log notation , properties of logarithms, evaluate logs with and
without a calculator, solve
log equations, graph log functions using ordered
pairs)
These additional, optional topics may be covered by some instructors:
a. Absolute value equations
b. Absolute value inequalities
c. Evaluate determinants (2 x 2 and 3 x 3)
d. Solve a system of equations using Cramer’ s Rule
e. Solve a system of equations using Gaussian elimination with matrices
f. Application problems with systems of equations
g. Application problems with quadratic equations and functions
h. Application problems with exponential equations and functions
i. Application problems with logarithmic equations and functions
As part of departmental analysis of outcomes in this course and its place in the
Mathematics
program, student completion of the prerequisite, success in the
current course, success in
subsequent courses and student satisfaction will be
reviewed by the instructor and the department
chair. A report containing this
information will be submitted by department faculty to determine
what, if any,
changes can be made to improve the course in terms of content , focus, and
instruction.
Course Outline
(Tentative and subject to change at any time)
Date  Section  Topic 
August 2428  1.1 – 1.5, 2.1  Fundamentals of Algebra, Linear Equations 
Aug 31, September 14  2.4, Review, 3.1  Inequalities, Review Chapters 1 and 2, Graphs 
Sept. 2: Exam 1  
September 711  3.2 – 3.4  Graphs and Functions 
September 1418  3.6, 4.1 – 4.3  Systems of Equations 
September 2125  September 2125  Review Chapters 3 and 4, Polynomials 
Sept. 22: Exam 2  
September 2830, October 12  5.3 – 5.6  Polynomials, Factoring 
October 59  Review, 6.1  6.2  Review Chapter 5, Rational Expressions 
Oct. 6: Exam 3  
October 1216  6.3 – 6.5  Rational Expressions 
October 1923  6.6  6.7, Review  Rational Equations and Functions, Review Chapter 6 
Oct. 23: Exam 4  
October 2630  7.17.4  Radicals 
November 26  7.5 – 7.6, Review  Radicals and Complex Numbers 
Nov. 6: Exam 5  
November 913  8.18.3  Quadratic Equations 
November 1620  8.4, 8.6  Quadratic Equations, Functions, and Inequalites, 
November 2324  9.1, 9.2  Exponential Functions, Composite and Inverse Functions 
November 30, December 14  Review, 9.3  Review for Exam 6, Logarithmic Functions 
Dec. 1: Exam 6  
December 711  9.4, 9.5, Review  Exponential and Logarithmic Functions, Review for Final Exam 
Final Exam –
Tuesday, December 15, 8:00 am to 9:50 am
(Math 108C11)
Tuesday, December 15, 10:00 am to 11:50 am (Math 108C02)
Homework Assignment Format
Math 108
Fall 2009
1. Use loose leaf paper.
2. Write name, course title (ex Math 108C05), and homework section in top right
corner of
first page.
3. Circle or highlight final answer when possible.
4. Show the work necessary to complete each problem. If little, no, or incorrect
work is
shown, you will not receive credit for that problem even if you have the
correct answer.
5. Write legibly. If I cannot decipher your work, you will not receive credit.
6. Staple pages together in top left corner.
7. Fold assignment lengthwise with first page on inside of fold.
8. Write name, course title, and homework section on outside of folded
assignment.
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