Distance
Learning – Web/TV
MA103
Intermediate Algebra CRN 33419
Spring 2008
I. Instructor: Margaret Latimer Office
Hours: Monday 11 – 12 noon
Office: 128 HT Germantown Campus Tuesday
Phone: 240 567-1935 Wednesday 11 a.m. –
12 noon
Email: Margaret.Latimer@montgomerycollege.edu
Office Hours: Please call or email me to schedule an
appointment if you would like to come to campus for help. Questions may be addressed by email or over
the phone.
II. General Course Information: MA103-Intermediate Algebra 3 credits/4 hours
Topics include intermediate algebra concepts such as
functions (quadratic and higher order polynomials, exponential and logarithmic),
polynomial division, inequalities, rational expressions, radicals, rational
exponents, complex numbers, and solving nonlinear systems. Algebraic,
numerical, and graphic understanding will be emphasized.
Prerequisite: A grade of A, B, C in MA091,
appropriate score on the mathematics assessment test, or consent of the
department.
Format: This course is Web/TV based. Instruction is provided via weekly broadcasts
which are also available at www.montgomerycollege.edu/algebra2
by clicking on “SHOWS.” The Montgomery Cable 10 broadcast schedule
is:
Begins: Thursday Jan 31, 2008 and
Ends: Sunday May 4, 2008
Airs… Thursdays at
Replays…Sundays at 1 PM
Weekly broadcasts are available at any MC Campus
Library or on reproducible CDs or DVDs in the Germantown Campus Tech Lab, HT
230. Although the shows will be
broadcast on Web TV, don’t wait for the TV broadcasts to begin on Jan 31 - - go
to www.montgomerycollege/edu/algebra2 and begin watching the shows on the web.
Homework: MyMathLab online will be used for
homework. An email has been sent with
instructions. The information is
reproduced here:
Follow these simple steps to log in to MyMathLab. If you have any questions please contact me.
1.
Go to www.coursecompass.com. (you can also go to www.mymathlab.com)
2.
Click on Register
under Student on the right side of the screen.
3.
There is a screen
reminding you what you will need (the course ID and code are given below). Click “Next.”
4.
Accept the
privacy and licensing agreement.
5.
Enter your
incredibly long access code (double check it for typos)
Your code is
WSCMML-QISHM-SOAPY-YULAN-FALUN-ESEBO
6.
Enter 20876 for
the school zip code
7.
Select
8.
Enter the course
ID: latimer00476
9.
Answer the
questions, choose a login name and password then click “Next.”
10.
You will be sent
a confirmation email and you can log in immediately.
11.
Login using your
new username and password
12.
If you are using
your computer at home make sure you install
III. Specific Outcomes: View at http://www.montgomerycollege.edu/Departments/math/CourseTopics/ma103germantown.pdf
IV. Text and Supplies:
o
Optional: Martin-Gay. Beginning and Intermediate Algebra (3rd
Edition), published by Prentice Hall
o
Required: MyMathLab Online
Calculators: Students will use the calculator feature of MyMathLab when doing homework. A graphing calculator may be used during
proctored tests.
V.
Grading
Homework scores are automatically recorded when you use MyMathLab. You should still write the
homework problems and your work in a notebook for future study. If you
get many problems wrong, you should seek help either from the software (MyMathLab has examples, step-by-step explanations, etc.),
the textbook, the Math/Accounting Learning Center, or your instructor.
Exams: Four (4) proctored one-hour
tests and a comprehensive 2-hour final exam must be taken at the
|
|
110 Sciences & Applied
Studies Bldg. (SA) |
240 567-7739 |
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14 Campus Center (CC)
(walk-in available) |
240-567-7459 |
Hours of
Operation:
|
|
Germantown: |
All students
must take the departmental final exam.
Course Grade: You will receive a grade of A (90-100%), B (80-89%), C (70-79%),
D (60-69%),
or F (<60%).Your grade will be based on the following:
Homework: 10%
One-hour
tests 65%
Final
Exam: 25%
Academic
Honesty: See
the Student Code of Conduct-“Academic Dishonesty and Misconduct.” (Student
Handbook)
On-campus computer use that is not directly related to course work is not
permitted. Inappropriate use of the
College computers will result in the student being dropped from the course and
may result in dismissal from the College.
Accommodations: Any student who may need an accommodation due
to a disability must provide a letter from Disability Support Services
authorizing your accommodation. Please
do this as soon as possible.
Math Learning
Centers: Although
this course is Web/TV based, you are welcome to use any of the services
offered in the Learning Centers.
Monday
– Thursday:
Friday:
Saturday:
Other campus’s hours are available at http://www.montgomerycollege.edu/Departments/math/resources.html
These facilities offer supplementary and review
material and tutors are available and are eager to help you! Take advantage of them.
Successful students are those who KEEP UP, DO
ALL ASSIGNED HOMEWORK, and ask questions.
Work to understand the material and take ownership of the knowledge. Your
efforts in MA103 will payoff - not just this semester, but also when you
advance to a college-level course next semester.
I
look forward to working with you this semester.
-Margaret Latimer
MA103 Intermediate Algebra - Assigned Sections
For
Text :
Beginning and Intermediate Algebra, 3rd ed.
By K. Elayn
Martin-Gay – Published byPrentice Hall 2005
- (R) indicates
that part or all of this section is review.
- The sections in the Course Outline are
identified as follows:
Section 3.4 would be
Chapter 3 and Section 4
Section 3.6.4 would be
Chapter 3, Section 6 and Objective 4
Chapters 3 – Graphing
3.4 Slope and Rate of Change (R) For review: www.montgomerycollege.edu/algebra Show 3
__ Find the slopes of horizontal and vertical lines
__ Compare the slopes of parallel and perpendicular lines
__ Solve applications of slope
3.6.4 The Point-Slope Form (R)
__ Use the point-slope form to solve problems
3.7 Functions: Watch Show 1 at www.montgomerycollege.edu/algebra2
__Relation, Domain and Range
__Identify Functions
__Vertical line test
__Function Notation
Chapter 4 – Systems of
Linear Equations
For review: www.montgomerycollege.edu/algebra Shows 10 and 11
4.1 Solving Systems of Linear Equations by Graphing (R)
__ Determine if an ordered pair is a solution of a system of equations in two variables.
__ Solve a system of linear equations by graphing
__ Without graphing, determine the number of solutions of a system
4.2 Solving Systems of Linear Equations by Substitution (R)
__ Use the substitution method to solve a system of linear equations
4.3 Solving Systems of Linear Equations by Addition (R)
__ Use the addition method to solve a system of linear equations
4.4 Solving Systems of Linear Equations in Three Variables (NEW)
__ Solving Systems of Linear Equations in Three Variables
4.5 Systems of Linear Equations and Problem Solving (R)
__ Solve problems that can be modeled by a system of two linear equations
__ Solve problems with cost and revenue functions
__ Solve problems that can be modeled by a system of three linear equations.
Chapter 8 – Functions and
Graphs
Watch Show 2 at www.montgomerycollege.edu/algebra2
8.1 Graphing and Writing Linear Functions
__Graph linear functions
__ Write an equation of a line using function notation
__Parallel and perpendicular lines
8.2 Graphing Nonlinear Functions
__ Review Function Notation
__Graph Nonlinear Functions
__ Shift Graphs of Functions
Chapter 5– Exponents &
Polynomials
Watch Show 3 at www.montgomerycollege.edu/algebra2
5.6 Dividing Polynomials (R)
__ Using long division to divide a polynomial by another polynomial
5.7 Synthetic Division & Remainder Theorem
__ Use Synthetic Division to divide a polynomial by a binomial
__ Use the Remainder Theorem to evaluate polynomials
Chapter 6 – Factoring
Polynomials (R)
For review: www.montgomerycollege.edu/algebra Show 6
6.1 The Greatest Common Factor and Factoring By Grouping
__ Factor a polynomial by grouping
6.2 Factoring Trinomials of the form 
__
Factor trinomials of the form
__
Factor out the GCF and then factor a trinomial of the form
6.3
Factoring Trinomials of the form 
__
Factor trinomials of the form
__
Factor out a GCF before factoring a trinomial of the form
__ Factor perfect square trinomials
__
Factor trinomials of the form by grouping
6.4 Factoring Binomials
__ Factor the difference of two squares
__ Factor the sum or difference of two cubes
6.5 Solving Quadratic Equations by Factoring
__ Define Quadratic Equation
__ Solve quadratic equations by factoring
__ Solved equations with degree greater than 2 by factoring
TAKE TEST ONE at one of the
Assessment Centers Feb 9 – 16, 2008
Chapter
9—Inequalities & Absolute Value (Now Optional) – Show
4
9.1 Compound Inequalities
__Find intersection of 2 sets
__Solve comp. ineqs. containing “and”
__Find union of 2 sets
__Solve comp. ineqs. containing “or”
9.2 Absolute Value Equations
__Solve abs. value eqns. ( Omit 9.3 )
9.4 Graphing Linear Inequalities
__Graph a linear ineq. in 2 vbls.
Chapter 7 – Rational
Expressions Show
5
7.1 Rational Functions & Simplifying Rational Expressions
__Define rat’l exprssn and rat’l function and find domain of a rat’l function
__Simplify rat’l exprssns
__Use rat’l functions in applications
7.2 Multiplying & Dividing Rational Expressions
__Multiply rational expressions
__Divide rational expressions
7.3 Add/Subtract Rational Expressions with Common Denominators and LCD’s
__Like denominators
__Find the LCD
__Write an equivalent expression
7.4 Add/Subt Rational Expressions with Unlike Denominators
__Unlike denominators
7.5 Solving Equations containing Rational Expressions Show 6
__Solve eqns containing rat’l expressns
__Solve eqns containing rat’l expressns for a specified variable
7.6 Problem Solving with Rational Equations
__ Solve problems about numbers
__”Work” problems
__”Distance” problems
7.7 Simplifying Complex Fractions
__ Simplify complex fractions by simplifying the numerator and denominator and then dividing
__Simp. complex fractns by multiplying with a common denom.
__Simp. expressions with negative exponents
TAKE TEST TWO at one of the Assessment
Centers March 1 - 7
Chapter 10-Rational
Exponents, Radicals and Complex Fractions Show 7
10.1 Radicals & Radical Functions (R)
For review: watch www.montgomerycollege.edu/algebra Show 12
__Find Square Roots (R)
__Approximate roots using a calculator
__Find cube roots
__Find nth roots
__Find 
where a is a real number
__Graph square and cube roots
10.2 Rational Exponents
__Understand the meaning of a1/n
__Understand the meaning of am/n
__Understand the meaning of a-m/n
__Simplify expressions that contain rational exponents
__Use rational exponents to simplify radical expressions
10.3 Simplifying Radical Expressions
__ Use the product rule for radicals
__ Use the quotient rule for radicals
__ Simplify radicals
10.4 Adding, Subtracting and Multiplying Radical Expressions
__ Add
or subtract radical expressions
__ Multiply radical expressions
10.5 Rationalizing Denominators and Numerators of Radical Expressions
__ Rationalize denominators
__ Rationalize denominators having two terms
__ Rationalize numerators
10.6.Radical Equations and Problem Solving
__ Solve equations that contain one or two radical expression
__ Use the Pythagorean Theorem to model problems
10.7 Complex Numbers Show
8
__ Define imaginary and complex numbers
__ Add or subtract complex numbers
__ Multiply complex numbers
__ Divide complex numbers
__ Raise i to powers
Chapter 11--Quadratic Equations and Functions - Show 9
11.1 Solving Quadratic Equations by Completing the Square
_Use the square root property to solve equations
_Solve quadratic equations by completing the square
_Use quadratic equations to solve problems
11.2 Solving Quadratic Equations by the Quadratic Formula
_Solve quadratic equations by using the quadratic formula
_Determine the number and type of solutions of a quad. eqn. by using the discriminant
_Solve geometric problems modeled by quad. eqns.
11.3 Solving Equations by Using Quadratic Methods
_Solve various eqns. that are quad. in form
_Solve problems that lead to quadratic equations
TAKE TEST THREE at one of
the Assessment Centers April 5 - 12
11.4 Nonlinear Inequalities in one variable Show 10
__ Solve polynomial inequalities of degree 2 or greater
11.5 Quadratic Functions and Their Graphs
__ Graph quadratic functions of the form f(x) = x² + k
__ Graph quadratic functions of the form f(x) = (x – h)²
__ Graph quadratic functions of the form f(x) = (x – h)² + k
__ Graph quadratic functions of the form f(x) = ax²
__ Graph quadratic functions of the form f(x) = a(x – h)² + k
11.6 Further Graphing of Quadratic Functions
__Write
quadratic functions in the form 
__Derive a formula for finding the vertex of a parabola
__Find the minimum or maximum value of a quadratic function
Chapters 12– Exponential and
Logarithmic Functions
12.1 Inverse Functions Show 11
__ Determine whether a function is a 1 – to -1 function
__ Use the horizontal line test
__ Find the inverse of a function
__ Find the equation of the inverse of a function
__ Graph functions and their inverses
__ Determine whether two functions are the inverses of each other
12.2 Exponential Functions
_Graph exponential functions
_Solve
equations of the form bx = by
_Solve problems modeled by exponential equations
12.3
Logarithmic Functions Show 12
_Write exponential equations with logarithmic notation and write log eqns with exponential notation
_Solve logarithmic equations by using exponential notation
_Identify and graph log functions
12.4 Properties of Logarithms
_Use the product property of logs
_Use the quotient property of logs
_Use the power property of logs
_Use the properties of logs together
12.5
Common Logs, Natural Logs and Change of Base
_Identify common logs and approximate them by calculator
_Evaluate common logs of powers of 10
_Identify natural logs and approximate them by calculator
_Evaluate natural logs of powers of e
_Use the change of base formula
12.6 Exponential and Logarithmic Equations and Applications
_Solve exponential equations
_Solve logarithmic equations
_Solve problems that can be modeled by exponential and logarithmic equations
TAKE TEST FOUR at one of
the Assessment Centers April 26 – May 3
Chapter 13 - Nonlinear
Systems of Equations Show 13
13.3 Solving Nonlinear Systems of Equations
__ Solve a nonlinear system by substitution
__ Solve a nonlinear system by elimination
TAKE
FINAL EXAM at one of the Assessment Centers May 6 – 12, 2008
Correlation of Online Information to
Chapters in the Textbook
Primary Online Information Source |
Other Online Information Sources |
Chapter Sections / Descriptions |
|
Slides: Graphs of Linear Equations www.montgomerycollege.edu/algebra Slides: Graphing Polynomial
Functions Function Basics |
3-Introduction
to Functions and Polynomial Graphing 3.4
(exclude 3.4.1), Slope and Rate of Change (R) 3.6.4,
Point-Slope Form (R) 3.7,
Functions |
|
|
Slides: Function Basics www.montgomerycollege.edu/algebra2 |
8-
Functions and Graphs 8.1,
Graphing and Writing Linear Functions 8.2,
Graphing Nonlinear Functions |
|
|
Shows 10 and 11 |
Slides: Systems of Linear
Equations |
4-Systems
of Linear Equations (R) 4.1,
Solving Systems of Equations by Graphing (R) 4.2,
Solving Systems of Equations by Substitution (R) 4.3,
Solving Systems of Equations by Addition (R) 4.4 Solving Systems of Linear Equations in Three Variables (R) (OPTIONAL) 4.5,
Systems of Linear Equations and Problem Solving (R) |
|
Slides: Polynomial Division |
5–Polynomial
Division 5.6.2,
Division of Polynomials (R) 5.7,
Synthetic Division and the Remainder Theorem |
|
|
Slides:
Factoring |
6 – Factoring Polynomials (R) 6.1.4,
Factoring by Grouping (R) 6.2,
Factoring Trinomials of the Form x2+bx+c (R) 6.3,
Factoring Trinomials of the Form ax2+bx+c (R) 6.4,
Factoring Binomials (R) 6.5,
Solving Quadratic Equations by Factoring (R) |
|
|
Slides: Inequalities |
9
– Inequalities and Absolute Values 9.1 Compound Inequalities 9.2 Absolute Value Equations (OPTIONAL) 9.4 Graphing Linear Inequalities |
|
|
Shows
5 and 6 |
Slides:
Rational Expressions www.montgomerycollege.edu/algebra2 Slides: Rational Expressions |
7 – Rational Expressions
with Non-Monomial Denominators 7.1, Rational Functions and
Simplifying Rational Expressions 7.2,
Multiplying and Dividing Rational Expressions 7.3,
Adding and Subtraction Rational Expressions with Common Denominators and
Least Common Denominators 7.4,
Adding and Subtracting Rational Expressions with Unlike Denominators 7.5,
Solving Equations Containing Rational Expressions 7.6
(exclude 7.6.1), Proportion and Problem Solving with Rational Functions 7.7,
Simplifying Complex Fractions |
|
Shows
7 and 8 |
Slides:
Radicals www.montgomerycollege.edu/algebra2 Slides: Roots and Radicals www.montgomerycollege.edu/algebra Shows 12and 13 |
10-Rational
Exponents, Radicals, and Complex Numbers 10.1,
Radicals and Radical Functions (R) 10.2,
Rational Exponents 10.3,
Simplifying Radical Expressions 10.4,
Adding, Subtracting and Multiplying Radical Expressions 10.5,
Rationalizing Denominators and Numerators of Radical Expressions 10.6,
Radical Equations and Problem Solving 10.7,
Complex Numbers |
|
Shows 9 and 10 |
Slides: Quadratic Equations www.montgomerycollege.edu/algebra2 Slides Quadratic Equations www.montgomerycollege.edu/algebra |
11-Quadratric
Equations and Functions 11.1,
Solving Quadratic Expressions by Completing the Square 11.2,
Solving Quadratic Expressions by the Quadratic Formula 11.3,
Solving Equations by Using Quadratic Methods 11.5,
Quadratic Functions and their Graphs 11.6,
Further Graphing of Quadratic Functions |
|
Shows
11 and 12 |
Slides: Exponentials and Logarithms www.montgomerycollege.edu/algebra2 |
12-Exponential
and Logarithmic Functions 12.1,
Inverse Functions 12.2,
Exponential Functions 12.3,
Logarithmic Functions 12.4,
Properties of Logarithms 12.5,
Common Logarithms, Natural Logarithms, and Change of Base 12.6,
Exponential and Logarithmic Equations and Applications |
|
Slides: Non-Linear Systems |
13-Solving
Nonlinear Systems of Equations 13.3,
Solving Nonlinear Systems of Equations |