| Course Title |
MATH 012: Intermediate Algebra |
| Term and Times |
Term Two, 2003–04 Mondays and
Wednesdays 7:30–10:10 p.m. |
| Education Center |
Yokota Air Base |
| Faculty Member |
Frank Gualtieri |
| Contact |
225-8922 or meet before or after
class or during breaks |
Required
Materials |
Text Developmental
Mathematics, Fifth Edition, Bittinger and
Beecher. Addison Wesley, 2000 (with Student's Solutions Manual )
or Introductory Algebra, 9th Edition, Bittinger. Addison-Wesley
1999 (with Student's Solutions Manual)
Scientific Calculator Bring a scientific calculator to every
class
meeting. Beg, borrow or buy properties /convert-exponential-value-in.html">one for the term . You don't have to
have a graphing calculator, although if you pay the extra money
for one, you'll have a great tool. A calculator that costs ten to
twenty dollars will serve you well in MATH 012 and beyond. |
Description
(Not open to students who have already successfully completed a
higher-level
mathematics course. Does not apply toward degree
requirements. Yields institutional
credit only.) Prerequisite: MATH 009
or an appropriate score on the placement test. A
study of
problem- solving techniques in intermediate-level algebra. Numbers and
algebraic properties, graphing skills, and applications drawn from a
variety of areas
(such as statistics, computing, and discrete
mathematics) are emphasized. Topics
include polynomials; factoring;
exponents and their notation ; linear, quadratic, and other
equations;
and inequalities. Students may receive credit for only one of the
following
courses: MATH 012, MATH 101, MATH 101M, MATH 102, MATH 102M,
MATH 199A,
or MATH 199M. |
Course Introduction
MATH 012 is a developmental algebra course designed to equip students
with a basic
mathematical proficiency and perspective needed in today’s
world. Principles introduced
in introductory algebra (MATH 009) are
expanded and further developed. Additional
topics are incorporated to
provide the necessary foundational knowledge for the student
to
successfully complete College Algebra (MATH 107).
The course also seeks to develop those attributes of an educated person
which are not
purely mathematical but which are reinforced by the study
of mathematics. Therefore
the course requires precise writing and
speaking skills, reading comprehension, the
ability to organize tasks
into a sequence of logical steps , and the ability to reason from
fixed
principles. Within this developmental framework, there is a focus on
understanding
mathematical principles and developing skills in
simplifying algebraic expressions and
solving equations. Graphing is
used as a tool for enhancing understanding of the
mathematical
principles. |
Objectives
Upon successful completion of this course, minimal objectives the
student has achieved
include the following:
• Simplify and evaluate algebraic expressions including polynomial,
fractional , and
radical expressions using algebraic procedures and order
of operations .
• Solve linear, quadratic, fractional, and radical equations.
• Solve and graph linear inequalities, including those involving
absolute value.
• Graph linear and quadratic equations in two variables by construction
and/or
graphing utility.
• Determine equations for lines parallel and perpendicular to a given
line through a
given point.
• Solve polynomial equations by the method of factoring.
• Solve simple systems of two linear equations algebraically and
graphically.
• Solve inequalities in one or two variables .
• Apply these techniques to the solution of practical problems drawn
from fields
such as mathematics, business, and the social, life, and
physical sciences.
• Additional objectives may include:
• Solve equations reducible to quadratics .
• Evaluate functions and use function notation. |
Attendance
Attend all meetings. If you miss a session, you must make arrangements
with a
colleague to get all the notes, assignments, handouts and
announcements from the
missed class. Before you miss an examination, be
sure to get my signature on an
approval for a late examination;
otherwise you might receive a zero, a penalty or a more
difficult test. |
Work Load
UMUC-Asia expects you to spend about twelve hours on homework each week
in order
to receive a satis factory grade . Depending on your background,
study habits, and goals,
you might require more or less time. I
encourage you to get a copy of the Student
Handbook from the UMUC
office, and read and follow the advice in it. |
Grading
Your grade will be based on two midterm examinations and one final
examination, as
well as homework and quizzes. The 100 points for the
course are awarded as follows:
exam #1: 25 points; exam #2: 25 points;
final examination: 40 points; homework and
quizzes together: 10 points.
| Point Total |
Grade |
90 or more
80–89
70–79
60–69
59 or less |
A
B
C
D
F |
If you wish to withdraw, file the required
paperwork in a timely manner. |
Schedule
The following schedule is tentative and will change as necessary due to
circumstances
that arise during the term. Your homework assignment comes
in two parts. Part I is to
do, but not hand in, all the odd-numbered
exercises that are located in the margins of
the sections that we cover
before the meeting in which we plan to cover those sections.
Part II is
to do all the odd-numbered exercises in the Exercise Sets at the ends of
the sections that we cover (for example, pp. 7–8 #1–59) and hand them in
at the
beginning of the next class meeting after we cover those
sections. The chapter
and section numbers below are from Introductory
Algebra. If you have Developmental
Mathematics, locate the corresponding
material in that book.
|
| Meeting |
Material |
| 1 |
Chapter R: P realgebra Review . Chapter
1: Introduction to Real
Numbers and Algebraic Expressions. |
| 2 |
Chapter 2: Equations and
Inequalities. Hand in Chapter 1. Buy
graph paper and a ruler for next
time. |
| 3 |
Chapters 3 and 4: Graphs and
Polynomials. Hand in Chapter 2. |
| 4 |
Chapter 5: Factoring, Sections 1–5.
Hand in Chapters 3 and 4.
Draw all graphs on graph paper using a ruler
for all straight
lines, including the axes. Optional assignment (for
those who
need extra preparation for the test): Solve every odd-numbered
problem in the Summary and Review Exercises sections at the ends
of
Chapters 1–4. Students who hand in this assignment prior to the
exam
might be eligible for an extra-credit assignment if needed.
Students who
do not hand in this assignment prior to the exam will
be ineligible for
extra credit. |
| 5 |
Midterm Exam 1 covering Chapters
1–5.5. Closed-book, closed
notes. Time limit 60 minutes. Bring blank
paper, graph paper, pens
or pencils, calculator. Hand in Sections 5.1–5.5. |
| 6 |
Chapter 5, Sections 6–8. |
| 7 |
Chapter 6: Rational Expressions. Hand
in Sections 5.6–5.8. |
| 8 |
Chapter 6: Rational Equations. Hand
in Sections 6.1–6.5. |
| 9 |
Chapter 7: Graphs. Hand in Sections
6.6–6.9. |
| 10 |
Chapter 8: Systems of Equations. Hand
in Chapter 7. Optional
assignment (for those who need extra preparation
for the test):
Solve every odd-numbered problem in the Summary and
Review
Exercises sections at the ends of Chapters 5–8. Students who hand
in this assignment prior to the exam might be eligible for an
extra-
credit assignment if needed. Students who do not hand in this
assignment prior to the exam will be ineligible for extra credit. |
| 11 |
Midterm Exam 2 covering Chapters 1–8.
Closed-book, closed
notes. Time limit 60 minutes. Bring blank paper,
graph paper, pens
or pencils, calculator. Hand in Chapter 8. |
| 12 |
Chapter 9: Radical Expressions
covering sections 9.1–9.4. |
| 13 |
Chapter 9: Radical Equations. Hand in
Sections 9.1–9.4. |
| 14 |
Chapter 10: Quadratic Equations. Hand
in Sections 9.5–9.6. |
| 15 |
Chapter 10. Hand in Sections
10.1–10.5. Bring a self-addressed
envelope, stamped (or marked “MPS”),
for your grade slip. Optional
assignment (for those who need extra
preparation for the test):
Solve every odd-numbered problem in the
Summary and Review
Exercises sections at the ends of Chapters 9–10. |
| 16 |
Final examination. Closed-book,
closed notes. Time limit 150
minutes. Bring blank paper, graph paper,
pens or pencils, calculator.
Hand in Sections 10.6–10.7. |
