Montgomery College
Distance Learning – Web
MA103 Intermediate Algebra
CRN 32906/CRN 35932
Spring 2010
I. Instructor: Min N. Ku
Office: 127 HT Germantown Campus
Phone: 240 – 567 - 1925
Email: MinNamgoong.Ku@montgomerycollege.edu
(=> BEST WAY TO CONTACT ME!!!)
Office Hours: MWF: 9:50 –
10:20am & 12:00 – 12:50pm at HT127
Please call or email me to schedule an appointment if you would like to
come to the 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
or Ma091D, appropriate score on the mathematics assessment test, or consent of
the department.
Class
Format:
1. This course
is Web based. Instruction is available at www.montgomerycollege.edu/algebra2 by clicking on “SHOWS.”
The instruction is available
at any MC Campus Library or on reproducible CDs or DVDs in the Germantown
Campus Tech Lab, HT 230.
2. This class requires an in-class orientation
- on January 21 at HT138 from 6:00pm to 8:00pm,
- on January 26 at HT403 from 6:00pm to 8:00pm,
3. This class
offers four times of “OPTIONAL” in-class meetings for exam reviews and
practices. The
meeting dates and times are 02/09, 03/09, 04/13, 05/04 from 6:00pm to 8:00pm. The meeting room is HT403 Germantown campus.
Communication: 1. The
primary way to communicate with the instructor by e-mail (minnamgoong.ku@montgomerycollege.edu).
The instructor
will use your MC e-mail address to send you any course information. So, you
must check your MC e-mail regularly everyday. You are responsible to
receive all necessary course information by checking your MC e-mails. 2. The
instructor posts important announcement in your online homework, MyMathLab
front page. Please pay attention to read them carefully. 3. All of your exam
scores and homework results can be viewed from MyMathLab. 4. The instructor will also post course
materials in My MC under MY COURSES, MA103 and Files.
Homework: The computerized software, MyMathLab online will be used for
homework. You have to purchase an access
code of MyMathLab through online (www.coursecompass.com)
or bookstore (Germantown campus). It is
cheaper to buy online.
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
_________-_________-________-________-_________-_________
6. Enter 20876 for the school zip code
7. Select United States for the Country then click
“Next.”
8. Enter the
course ID: ________ (=> You will receive it during the in-class
orientation.)
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 ALL the plug-ins with the installation wizard.
III. Specific Outcomes: View at http://www.montgomerycollege.edu/Departments/math/CourseTopics/ma103germantown.pdf
COURSE OBJECTIVES: See MYMC – MY COURSES - Files.
COURSE OUTLINE: See MYMC – MY
COURSES - Files.
COURSE HOMEWORK: See MYMC – MY
COURSES – Files.
IV. Text and Supplies:
OPTIONAL TEXTBOOK: Beginning
& Intermediate Algebra, by K. Elayn Martin-Gay, 4th Edition,
Pearson/Prentice Hall, 2009.
HOMEWORK: Required
MyMathLab Online. There are three options for purchasing a MyMathLab Online access code:
1. Purchase the optional textbook which is
packaged with a MyMathLab Online
access code at the
Germantown bookstore.
2. Purchase the MyMathLab Online Access Code at the Germantown bookstore. OR
3. Purchase the MyMathLab Online access code at www.coursecompass.com. A valid credit card is
required to complete the purchase. The postal Zip code for Germantown is 20876.
TWO NOTEBOOKS: Required for lecture videos and homework.
Use one to write down lecture notes while you are watching the lecture videos
and the other to show work on every homework problem for the future study.
CALCULATORS: A graphics
calculator such as the TI-83/TI-83 Plus or other models may be used during
proctored tests and
the final exam. CAS calculators may not be used during
proctored tests and the final exam. No
electronic devices (cell phones, etc.) except an approved calculator may be
used during proctored tests and the final.
V.
Grading
Attendance: You must come to the
mandatory in-class orientation sessions for two hours. Absence for the
orientation will affect your grade. [CRN
32906] - If you cannot make it on January 21, you can make it up on January 26,
6-8pm, HT403, Germantown campus.
[CRN 35932] – If you cannot make it
on January 26, you can make it up on January 21, 6-8pm, HT138, Germantown
campus.
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. The homework
due dates are listed on each homework assignment in MyMathLab, and they are usually due the last day of each exam
available. You can do the homework with your own pace until the due dates, but
you need to get at least 80% above on every homework assignment to move on next
section.
NOTE: If you don’t complete every section of the
homework for each exam with at least 80%, you will NOT be able to start the new
set of homework assignments for the next exam.
A successful student in this course does homework regularly and consistently through out the semester. It is very easy to do the homework at the
last minute in this class, but you will find out that doing the homework at the
last minute is not effective and will not help you do well on the tests. No make-up homework will be allowed!
Exams: Three (3) proctored 2-hour
tests and a comprehensive 2-hour final exam must be taken at the Germantown or
Rockville Campus Assessment center. All tests and final exam must be taken at
the prescribed time.
Make-up Exam: If
you complete all homework assignments with above 95% and complete online “Final
Exam Review” in
MyMathLab with
above 95%, then you can make up one of your regular exams by taking “make-up
exam” at the end of the semester (05/03 – 05/13). It will be like practice final exam and
covers every materials covered in this class.
Dates for
exams:
TAKE
TEST ONE: February 11 (R) – 17 (W) –
Chapters 3, 4, 6
TAKE TEST TWO: March 11 (R) – 24 (W) – Chapters 7, 8, 10.1 ~
10.3
TAKE TEST THREE: April 15 (R) – 21(W) - Chapters 10.4 ~ 10.7, 11, 12.2 ~ 12.3
TAKE FINAL EXAM: May 10(M) –
13 (R) - All Chapters covered
* MAKE-UP EXAM: May 3(M) – May 13 (R)- All Chapters covered
Optional in-class review sessions:
02/09, 03/09, 04/13,
05/04 – Tuesdays 6:00 ~ 8:00pm at HT403, Germantown Campus
You are strongly encouraged to attend these meetings
so that you can ask any questions from the lectures, homework
assignments, and the review packet before each exam.
Assessment
Center: You
can walk in assessment centers during their office hours to take the test.
|
Germantown |
110 Sciences & Applied
Studies Bldg. (SA) |
240 567-7739 |
|
Rockville |
14 Campus Center (CC) |
240-567-7459 |
Hours of Operation:
|
Rockville: |
Germantown: |
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: 15%
Three regular tests: 60% (20% each test)
2-hour 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 based, you are welcome to use any of the services
offered in the Learning Centers. To find
the operation hours, call or visit the web 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.
GERMANTOWN MATH/ACCOUNTING LEARNING CENTER:
The Center is located in HT 229 (and HT 230). The hours are:
Monday – Thursday: 8:30 a.m. until 9 p.m.
Friday - Saturday: 8:30 a.m. until 5 p.m.
Sunday: CLOSED
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.
-Min Namgoong Ku-
MA103 Intermediate Algebra - Assigned Sections
For
Text : Beginning and Intermediate
Algebra, 4th ed.
By K. Elayn Martin-Gay – Published by
Prentice Hall 2009
- (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 3.5.6 would be Chapter
3, Section 5 and Objective 6
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
3.5.6 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 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 (Optional)
__ 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 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
6.5 Factoring Binomials
__ Factor the difference of two squares
__ Factor the sum or difference of two cubes
6.6 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: February 11 (R) – 17 (W)
Chapter 5– Exponents &
Polynomials – OPTIONAL; NOT be on the exam
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 7 – Rational
Expressions 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 expressions
__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/Subtract Rational Expressions with Unlike Denominators
__Unlike denominators
7.5 Solving Equations containing Rational Expressions Show 6 at www.montgomerycollege.edu/algebra2
__Solve equations containing rational expressions
__Solve equations 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
__Simplify complex fractions by multiplying with a common denomenator
__Simplify expressions with negative exponents
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
8.3 Shifting and Reflecting Graphs of Functions
__ Vertical and horizontal shifts
__ Reflect Graphs
Chapter 10-Rational
Exponents, Radicals and Complex Fractions
Show 7 at www.montgomerycollege.edu/algebra2
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
TAKE TEST TWO: March 11 (R) – 24 (W)
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 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 - 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
11.4 Nonlinear Inequalities in one variable Show 10 at www.montgomerycollege.edu/algebra2
__ 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
12.2 Inverse
Functions 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
TAKE TEST THREE: April 15
(R) – 21(W)
12.4 Logarithmic
Functions 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 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 FINAL EXAM: May 10(M) – 13(R) – INCLUDE ALL CHAPTERS
COVERED!
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.
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) 3.5.6, Point-Slope Form (R) 3.6, Functions |
|
|
Slides: Function Basics www.montgomerycollege.edu/algebra2 |
8- Functions and Graphs 8.1, Graphing and Writing Linear Functions 8.2, Graphing Nonlinear Functions 8.3 Shifting and reflecting graphs of 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 (OPTIAONAL) 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) 6.5, Factoring Binomials (R) 6.6, 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 12.2, Inverse Functions 12.3, Exponential Functions 12.4, Logarithmic Functions 12.5, Properties of Logarithms 12.6, Common Logarithms, Natural Logarithms, and
Change of Base 12.7, Exponential and Logarithmic Equations and
Applications |
|
Slides: Non-Linear Systems |
13-Solving Nonlinear Systems of Equations 13.3, Solving Nonlinear Systems of Equations |