NOTRE DAME, IN
46556
Instructor: Jane Allen Home
Phone: 271-9927
Office Hours: 9:00 –
11:00 MWF Email: jallen@hcc-nd.edu
2:00 – 3:00 MW
Intermediate Algebra is a one-semester course of equations and inequalities in two variables, followed by rational exponents and roots, quadratic equations, systems of linear equations, relations, functions, and ending with a treatment of logarithms.
Students
who successfully complete this course with a grade of B or better will have the
skills necessary to advance to MATH 103 (Precalculus).
McKeague,
Charles P., Intermediate Algebra, Sixth Edition, Brooks/Cole – Thomson
Learning, 2003.
Colored
pencils or pens
To
perform the mathematical objectives stated in each lesson
To
work cooperatively in small groups
To
be attentive and follow directions
To
give clear and logical explanations
In
order to be successful, you need to be a participant, not a spectator. You are responsible for your own
education. I will facilitate, encourage,
counsel, guide, and support your learning.
Merely being present expecting someone to feed you information does not
mean you are learning. People become
educated because of the work they themselves do. You must be actively engaged. 100% attendance and participation are
expected. You will receive an attendance
grade that will count as 10% of your overall grade. You will start out with a grade of 100%. After your first absence, each additional
absence will lower your grade by 10%.
That is, 1 absence – 100%, 2 absences – 90%, 3 absences – 80%, and so
on. There are no excused absences.
Homework 20% 92 – 100 A
Quizzes 10% 90 – 91 A-
Chapter
Tests 40% 88 – 89 B+
Attendance 10% 82 – 87 B
Final
Exam 20% 80 – 81 B-
78
– 79 C+
72
– 77 C
70
– 71 C-
60 - 69 D
59
or less F
Problem sets (exercises at the end of each section) will be assigned daily to be turned in the following day. As you work the problems, check the answers in the back of the book to make sure you are understanding the concept.
All
assignments must include your name, M101 – 02
and the chapter and section number of the problem set in the upper
right-hand corner. Your papers must show
all of your work. Answers should be
circled or highlighted. All pages must
be stapled together. Use pencil only for
all work done in this class. Homework
turned in late due to absence will be considered late. Late homework will be given reduced credit
and will not be accepted after the test date for that particular chapter. Neatness and legibility are a must. You are expected to preview the section(s)
that will be covered the following day.
Quizzes
will be frequent and unannounced. They may not be made up. All quizzes may be revised. Each correctly revised problem will earn you
½ the points the problem was originally
worth. You must show work that clearly
indicates you have a good understanding of the problem. An answer alone will not be given
credit. Revisions are optional. Your lowest quiz grade will be dropped.
You will be given 5 chapter tests. BEING ABSENT ON A TEST DAY WILL RESULT IN A GRADE OF ZERO FOR THAT TEST UNLESS YOU HAVE PRIOR CONSENT. Your lowest test grade will be dropped if you have 3 or fewer absences. A comprehensive final exam will be given on Tuesday, December 14 from 10:15 am to 12:15 p.m. If you are making travel arrangements, make sure they do not conflict with this date.
You
are encouraged to make use of the Learning Resource Center. Hours are posted. Peer tutors, adult tutors, and teachers are
available to help you FREE OF CHARGE. Videotapes
of all topics covered in class are available for viewing at the LRC or may be
checked out of the library. Math
tutorials corresponding to all sections in the book are accessible in the
computer lab and the LRC for extra practice.
A CD is included with your text that has a video lesson for each section
from the text. Also you have access to
live, one-on-one help from a qualified instructor on the Web during specific
hours.
CONTENT AND OBJECTIVES
Upon
successful completion of Math 101, the student should be able:
Test 1 Objectives 3.1 – 3.4
To graph ordered pairs on a rectangular coordinate system
To graph linear equations by finding
intercepts
To graph horizontal and vertical lines
To find the slope of a line from its graph
To find the slope of a line given two
points on the line
To find the equation of a line given its
slope and y-intercept
To find the slope and y-intercept from the
equation of a line
To find the equation of a line given slope
and a point on the line
To find the equation of a line given two
points on the line
Test 2 Objectives 7.1 – 7.3
To simplify radical expressions using the definition for roots
To simplify expressions with rational
exponents
To multiply expressions with rational
exponents
To factor expressions with rational
exponents
To add and subtract expressions with
rational exponents
To write radical expressions in simplified
form
To rationalize a denominator that contains
only one term
Test 3 Objectives 7.4 – 7.7
To add and subtract radicals
To multiply expressions containing
radicals
To rationalize a denominator containing
two terms
To solve equations containing radicals by
raising both sides to the
appropriate power
To simplify square roots of negative
numbers
To simplify powers of I
To solve for unknown variables by equating
real parts and equating
imaginary parts of two complex numbers
To multiply complex numbers
To divide complex numbers
Test 4 Objectives 8.1 – 8.3, 8.5, 8.6
To solve quadratic equations by taking the square root of both sides
To solve quadratic equations by completing
the square
To solve quadratic equations by the
quadratic formula
To find the number and kind of solutions
to a quadratic equation by using
the discriminant
To graph a parabola
To solve quadratic inequalities and graph
the solution set
Test 5 Objectives 4.1, 4.2, 4.5, 3.5, 3.6
To solve a system of linear equations in two variables by
graphing
To solve a system of linear equations by
the substitution method
To solve a system of linear equations by
the elimination method
To solve a system of linear equations in
three variables
To solve applications involving systems of
equations
To construct a table or graph from a function rule
To identify the domain and range of a
function or a relation
To see the difference between a relation
and a function
To use function notation to find the value
of a function for a given
value of the variable
Chapter 9 Objectives 9.1 – 9.4, 9.6
To find function value for exponential functions
To graph exponential functions
To find the equation of the inverse of a
function
To sketch a graph of a function and its
inverse
To use the definition of logarithms to
convert between logarithmic form
and exponential form
To use the definition of logarithms to
solve simple logarithmic equations
To sketch the graph of a logarithmic
function
To simplify expressions involving
logarithms
To use the properties of logarithms to
convert between expanded form
and single logarithms
To use the properties of logarithms to
solve equations that contain
logarithms
To solve exponential equations
TRANSFERABLE SKILLS
At
Holy Cross College, we have identified a number of transferable skills which we
hope that all of our students will exhibit by the time they graduate. The TRANSFERABLE SKILLS OBJECTIVES* that are incorporated in our class include the
following:
CREATIVE
THINKING
Generate ideas and synthesize results
1.
Participate in
brainstorming activities
2.
See
connections and patterns
3.
Work
independently or with others to put ideas into action
Recognize
and use multiple ways of thinking
1.
Utilize
inductive and deductive reasoning
2.
Perceive
accurately; see the overall and specific; draw from both logic and intuition;
compare and contrast; understand cause and effect
Understand
the creative process
1.
Envision a
solution to a problem and communicate that vision
2.
Design a
plan/template/model to express the idea
3.
Carry out
plans
4.
Solicit
feedback, evaluate, and revise creative product
CRITICAL THINKING
Analyze,
interpret, and appreciate thoughts and works of others
1.
Be familiar
and appreciate thoughts and works of others
2.
Attempt to be
objective in analysis and interpretation
QUANTITATIVE REASONING
Understand and use basic
algebraic concepts and applications
1. Solve problems involving addition,
subtraction, multiplication, and division of
polynomial expressions 2. Solve and apply algebraic equations and
inequalities
3.
Use algebraic
quantitative skills to help recognize, create, and solve problems related
to
everyday living
Recognize the order, logic,
precision, and terminology of mathematics
1.
Show evidence
of a reflective, deliberate choice to use quantitative information
2.
Organize,
appropriately use, and clearly communicate quantitative information for a
specific audience
3.
Show a refined
sense of effective ways to present quantitative information using appropriate
terminology
Apply
mathematical principles in a variety of situations
1.
Identify
quantitative relationships within a context
2.
Show awareness
of assumptions behind quantitative information
Understand
relations and functions
1.
Interpret,
select, and construct graphs and apply measurement concepts
Demonstrate proficiency in
reading competently
1.
Gain and
understand accurate information and ideas from the written text
RELIGIOUS
Interact and work cooperatively
with others
1.
Have a basic
understanding of the common terms associated with computer
technology
*There are many other transferable skills included in our
course which are observed, but not formally assessed.
HOMEWORK ASSIGNMENTS O – Odd A – All
Section Page Problems
3.1 155 1 – 29, 33, 35 O
3.2 169 1 – 25, 29 - 33 O
3.3 181 1 – 45 O
3.4 193 1 – 29 O
7.1 491 1 – 71 O
7.2 499 1 – 45, 53 – 69 O
7.3 511 1 – 81 O
7.4 419 1 – 37 O
7.5 527 1 – 59 O
7.6 537 1 – 47 O
7.7 549 1 – 77 O
8.1 571 1 – 43 O
8.2 581 1 – 35 O, 43
8.3 591 1 – 49 O
8.5 613 1 – 27 O
8.6 623 1 – 27 O
4.1 255 1 – 43 O
4.2 265 1 – 19 O
4.5 295 1 – 29 O
3.5 207 1 – 29 O
3.6 219 1 – 49 O, 53
9.1 641 1 – 15 O
9.2 653 1 – 29 O
9.3 665 1 – 57 O
9.4 673 1 – 47 O
9.6 693 1 – 20 A
Lecture/Test Dates
Lecture Dates Chapter Test
Date
8/23 – 9/3 3.1 – 3.4 9/8
9/6 – 9/17 7.1 – 7.3 9/22
9/20 – 10/1 7.4 – 7.7 10/6
10/4 – 10/13 8.1 – 8.3, 8.5, 8.6 10/15
10/25 – 11/8 4.1, 4. 2, 4.5, 3.5,
3.6 11/12
11/10 – 12/3 9.1 – 9.4, 9.6 on final
exam
12/6 – 12/8 Final Review
12/14 Final Exam 10:15
a.m.