Distance
Learning – Web/TV
MA103
Intermediate Algebra, CRN36050
Spring 2009
I. Instructor: Andrew Persinko
Phone: 240-567-7722 (Leave Message)
Email: Andrew.Persinko@montgomerycollege.edu ç BEST WAY TO CONTACT ME
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, or C in
MA091, MA091A, or MA091D, appropriate score on the mathematics assessment test,
or consent of the department.
Format: This course is Web/TV based. Instruction is provided via weekly TV broadcasts
which are also available at www.montgomerycollege.edu/algebra2
by clicking on “SHOWS.”
The Montgomery Cable 10 broadcast schedule can be
found at http://www.montgomerycollege.edu/Departments/itv/ Each Show is about 1 hour long.
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 TV, don’t wait for the TV broadcasts - - go to www.montgomerycollege/edu/algebra2 and begin watching the shows on the web.
Communication: The primary way to communicate with the
instructor is by email (andrew.persinko@montgomerycollege.edu). Additionally, you can communicate with your
fellow students in a chat room and via a postings devoted to this class. To reach the chat room or postings, go to
MyMC, then to MyClasses, then click on MA103, Intermediate Algebra. You will see the link to the chat room and
the postings on the left. The instructor will periodically be in the chat room
to answer questions in real time and will also respond to questions that are
posted.
Homework: MyMathLab Online will be used for
homework. You will need to purchase an
access code for MyMathLab. After purchasing an access code, set up MyMathLab on your computer using the
steps shown later in the syllabus.
III. Specific Outcomes: View at http://www.montgomerycollege.edu/Departments/math/CourseTopics/ma103germantown.pdf
IV. Text and Supplies:
Optional Textbook: Martin-Gay. Beginning and
Intermediate Algebra (4th Edition),
published by Prentice Hall
Homework: Required: MyMathLab Online. There are three options
for purchasing a MyMathLab access
code:
1.
Purchase the optional textbook which is packaged with a MyMathLab
access code, at the
2.
Purchase the MyMathLab access code at the
3.
Purchase the MyMathLab access code at www.coursecompass.com . A valid credit card is required to complete
the purchase. The postal Zip code for
Calculators: Students will use the calculator feature of MyMathLab when doing homework. A graphing calculator, TI-83/83+
(TI-84 is acceptable), is required and may be used during proctored tests. You should read the instructions that come
with the calculator and be able to graph functions on the calculator (including
zoom in and out, change the window size, trace, convert to a table).
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. Homework is due by the dates stated in MyMathLab.
Exams: Four (4) proctored 90 minute
tests and a comprehensive 2-hour final exam must be taken at the Germantown Campus
Assessment center. Call to schedule:
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110 Sciences & Applied
Studies Bldg. (SA) |
301-353-7739 |
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All students must take the departmental final exam.
Make Up
Policy: No make up tests or final
exam will be given. All tests and final
exam must be taken at the prescribed time.
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 (4) 68% (each test worth 17%)
Final
Exam: 22%
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’ 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.
MA103 Intermediate Algebra - Assigned Sections
For
Text : Beginning and Intermediate
Algebra, 4th ed.
By K. Elayn Martin-Gay – Published
byPrentice Hall 2009
- (R) indicates that part or all of this
section is review of material covered in MA091.
- 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 Watch Show
3
__ Find the slope of a line given its equation
__ Find the slopes of horizontal and vertical lines
__ Compare the slopes of parallel and perpendicular lines
__ Slope as a rate of change
3.5.6 The Point-Slope Form (R)
__ Use the point-slope form to solve problems
3.6 Functions - - Watch Show 1 at www.montgomerycollege.edu/algebra2
__Relation, Domain and Range
__Identify Functions
__Vertical line test
__Function Notation
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 Reviewing Function notation and Graphing Nonlinear Functions
__ Review Function Notation
__Graph Nonlinear Functions
__ Shift Graphs of Functions
8.3 Shifting and Reflecting Graphs of Functions
__ Vertical and horizontal shifts
__ Reflect graphs
Chapter 4 – Systems of
Linear Equations (R)
For review: www.montgomerycollege.edu/algebra Watch 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
4.5 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 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 Watch Show 6
6.1 The Greatest Common Factor and Factoring By Grouping (R)
__ Factor a polynomial by grouping
6.2 Factoring Trinomials of the form 
(R)
__
Factor trinomials of the form
__
Factor out the GCF and then factor a trinomial of the form
6.3 Factoring Trinomials of the form 
(R)
__
Factor trinomials of the form
__
Factor out a GCF before factoring a trinomial of the form
__ Factor perfect square trinomials
6.4 Factor Trinomials
of the form by Grouping
__Use
the grouping method to factor trinomials of the form
6.5 Factoring Binomials (R)
__ Factor the difference of two squares
__ Factor the sum or difference of two cubes
6.6 Solving Quadratic Equations by Factoring (R)
__ 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. 14 – Feb. 21
Chapter
9—Inequalities & Absolute Value
Watch Show
4 at www.montgomerycollege.edu/algebra2
9.4 Graphing Linear Inequalities
__Graph a linear inequalities in 2 variables.
Chapter 7 – Rational
Expressions
Watch Show
5 at www.montgomerycollege.edu/algebra2
7.1 Rational Functions & Simplifying Rational Expressions
__Define rational expression and rational function and find domain of a rational function
__Simplify rational expression
__Use rational 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 - -
Watch Show 6 at www.montgomerycollege.edu/algebra2
__Solve eqns containing rational expressions
__Solve eqns containing rational expressions 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 fractions by multiplying with a common denom.
__Simp. expressions with negative exponents
TAKE TEST TWO at one of the Assessment
Centers March 7 – March 14
Chapter 10-Rational
Exponents, Radicals and Complex Fractions
Watch Show
7 at www.montgomerycollege.edu/algebra2
10.1 Radicals & Radical Functions (R)
For review: 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 - - Watch Show 8 at www.montgomerycollege.edu/algebra2
__ 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
Watch Show 9 at www.montgomerycollege.edu/algebra2
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 11 – April 18
11.5 Quadratic Functions and Their Graphs- - Watch Show 10 at www.montgomerycollege.edu/algebra2
__ 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
12.2 Inverse Functions - - Watch Show 11 at www.montgomerycollege.edu/algebra2
__ 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
12.3 Exponential Functions
_Graph exponential functions
_Solve
equations of the form bx
= by
_Solve problems modeled by exponential equations
12.4 Logarithmic
Functions - - Watch Show 12 at www.montgomerycollege.edu/algebra2
_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
12.5 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
12.6 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
12.7 Exponential and Logarithmic Equations and Applications
_Solve exponential equations
_Solve logarithmic equations
_Solve problems that can be modeled by exponential and logarithmic equations
Chapter 13 - Nonlinear
Systems of Equations
Watch Show
13 at www.montgomerycollege.edu/algebra2
13.3 Solving Nonlinear Systems of Equations
__ Solve a nonlinear system by substitution
__ Solve a nonlinear system by elimination
TAKE TEST FOUR at one of
the Assessment Centers May 2 – May 9
TAKE
FINAL EXAM at one of the Assessment Centers May 11 – May 16
Using MyMathLab
How to Set Up MyMathLab
Follow these simple steps to log in to MyMathLab. If you have any questions please contact your instructor as soon as possible as your first homework is due soon!
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 which is given below and a MyMathLab code). Click “Next.”
4. Accept the privacy and licensing agreement.
5. Enter your incredibly long access code (double check it for typos).
Your code is
__________-__________-__________-__________-__________-__________
6. Enter 20876 for the school zip code.
7. Select
8. Enter
the course ID: persinko48685
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. Log in using your new username and password.
12. If
you are using your computer at home make sure you install
13. Read the announcements and look around at some of the cool features on MyMathLab.
14. Start on your first homework assignment which is Section 3.4. Before you start working problems, you can
a. Read Section 3.4 in the Multimedia Textbook found in the Multimedia Library
b. Watch a Section Video Lecture also found in the Multimedia Library
c. Watch Show 3 at: www.montgomerycollege.edu/algebra.
Intermediate Algebra Shows
The shows are available on MCTV channel 10 Check http://www.montgomerycollege.edu/Departments/itv/ for schedule. Each Show is about 1 hour long.
You can also watch the shows online at www.montgomerycollege.edu/algebra2
You can also check out the videos at any of the Montgomery College Libraries
So make sure you watch each video at least once!
- Show 1 covers chapter 3. (If you want additional review you can visit www.montgomerycollege.edu/algebra/TVShows.htm and watch show 3.)
- Show 2 covers chapter 8
- Chapter 4 is intended to be review. (If you want additional help you can visit www.montgomerycollege.edu/algebra/TVShows.htm and watch shows 11 and 12.)
- Show 3 covers chapter 5
- Chapter 6 is intended to be review. (If you want additional help you can visit www.montgomerycollege.edu/algebra/TVShows.htm and watch show 6.)
- Show 4 covers chapter 9
- Shows 5 and 6 cover chapter 7
- Shows 7 and 8 cover chapter 10
- Shows 9 and 10 cover chapter 11
- Shows 11 and 12 cover chapter 12
- Show 13 covers chapter 13
Follow the details in the syllabus for determining the order in which to watch the shows.