Course
Description: |
A continuation of beginning algebra. Topics included are systems of
equations
and graphs, polynomials in several variables, fractional expressions and
equations,
radical expressions and equations, quadratic equations, and
inequalities, and
exponential and logarithmic functions. Three hours per week, three load
hours, 0
credits. Four function calculators will be used. (A TI-83 is
recommended but not
required). |
| |
| |
|
Textbook:
|
Foundations of Mathematics by Marvin L. Bittinger and Judith A. Penna.
Addison Wesley. 2004 ISBN # 0-321-16856-9 |
| |
|
|
Introduction: |
This course, In termediate Algebra , is approximately equivalent to the
second year of
high school algebra and is the second of two sequential courses in
algebra taught at
Chesapeake College in preparation for college level mathematics courses.
Most
students must complete MAT 032 in order to gain entry to the credit
level mathematics
courses. In addition to the lectures, the average student should plan
to spend SIX
hours outside of class each week (2 hours for every hour spent in class).
If
you are finding that you are having trouble with the course, contact me
immediately for
assistance. |
| |
| |
|
Classroom:
Etiquette: |
Students are expected to behave in a manner becoming of an adult with
thoughtfulness
and respect for others. To that end, it is expected that students will
not engage in
behaviors that distract not only the instructor but also their fel low
classmates . Please
refrain from talking during inappropriate times and keep phones silent
and out of sight at
all times. Students who engage in activities such as talking to each
other, talking on cell
phones or text messaging, leaving class for non-emergency needs, will be
asked to
leave. Thank you in advance for your consideration of others who have
paid to learn
what this course has to offer. |
| |
| |
|
|
NOTE: College policy prohibits young children from accompanying parents
to class. |
| |
|
Note on Cell
Phones, etc.: |
Cell phones, iPods, Blackberrys, and any other piece of technology are
to
be turned off. It is unacceptable for a student to be using any device
other
than a calculator during class. If a student has an emergency and needs
to leave their cell phone or pager on, then that student should let the
instructor know ahead of time. The instructor has the right to ask
anyone
to leave class who is using their cell phone, talking, or in any way
disrupting the class. Anyone using a cell phone during a test will
receive a
zero on that test. |
| |
Math 032 Course Outline
|
Chapters |
Topic |
Textbook Sections |
|
10 |
Polynomials: Factoring |
10.1 – 10.9 |
|
11 |
Rational Expressions and Equations |
11.1 – 11.9 |
|
15 |
Radicals Exps., Eqs, & Func. |
15.1 – 15.8 |
|
16 |
Quadratic Equations and Functions |
16.1 – 16.8 |
|
17 |
Exponential and Logarithmic Functions |
17.1 – 17.3 |
A review sheet for your final exam is found at the end of
this study guide.
Course Outcomes
1. Evaluate and perform operations with square roots and higher roots.
2. Perform operations with complex numbers.
3. Perform operations with rational expressions, and solve equations involving
rational
expressions.
4. Solve quadratic equations by factoring/by the square root method/by
completing the
square/ by using the quadratic formula. (Determine the most efficient method to
use
when solving a quadratic equation.)
5. Recognize characteristics of parabolas.
6. Evaluate exponential and logarithmic functions.
Unit Objectives
After completing each chapter, you should be able to accomplish the indicated
objectives.
Chapter Ten – Polynomials: Factoring
1. Factor out the GCF from a polynomial.
2. Factor by grouping.
3. Factor trinomials using the FOIL and ac-Methods.
4. Factor Perfect Squares and Difference of Perfect Squares
5. Factor sums or differences of cubes.
6. Solve quadratic equations by factoring.
7. Use the Pythagorean Theorem to solve application problems.
Chapter Eleven – Rational Expressions and Equations
1. Simplify Rational Expressions.
2. Add, Subtract, Multiply and Divide Rational Expressions with the same and
different denominators .
3. Solve equations involving Rational Expressions.
4. Problem solving with rational expressions.
5. Simplify Complex Fractions.
6. Solve application problems involving Rational Equations and Proportions
Chapter Fifteen – Radicals Expressions, Equations, and Functions
1. Simplify radicals.
2. Use rational numbers as exponents.
3. Add, subtract, multiply, and divide radicals.
4. Solve equations involving radicals.
5. Solve problems containing radicals.
6. Understand and add, subtract, multiply, and divide complex numbers.
Chapter Sixteen – Quadratic Equations and Functions
1. Solve quadratic equations.
2. Use the Quadratic Formula to solve quadratic equations.
3. Graph quadratic equations involving two variables.
4. Solve application problems with quadratic functions.
Chapter Seventeen – Exponential and Logarithmic Functions
1. Graph and interpret exponential functions.
2. Finding inverse functions.
3. Find function composition.
4. Understand and solve logarithmic functions and using their properties .
TENTATIVE Class Schedule
(Class schedule is subject to change to meet the needs of the students and the
instructor.)
Week 
Textbook
Sections
Week 1 
Intro to course, MML, Review, 10.1
Week 2 10.2 – 10.4
Week 3 10.5 – 10.7
Week 4 10.8 – 10.9, 11.1
Week 5 11.2 – 11.3, Test Ch. 10
Week 6 11.4 – 11.6
Week 7 11.7 – 11.9
Week 8 15.1, 15.2, Test on Ch.11
Week 9 15.3 – 15.5
Week 10 
15.6 – 15.8
Week 11 16.1, 16.2, Test on Sec. 15.1-15.6
Week 12 16.3 – 16.5
Week 13 16.6 – 17.1, Test on Sec. 15.7, 15.8,
16.1 - 16.4
Week 14 17.2, 17.3, Review for Final Exam
MAT 032-105 Final Exam: Thursday, December 10 from
12:30 – 2:30pm
Important Dates
September 7 – Labor Day, College closed
October 19 – Mid-term grades due
November 5 – Last day to drop with a “W” (withdraw from a class)
Nov. 23 – 25 – No Classes
Nov. 26 – 29 – Thanksgiving Holiday, College closed
Dec. 8 – 14 – Final Exams
Homework Exercises (Part 1)
| Chapter 10 |
|
|
| Sec. 10.1 |
pgs. 753 – 754 |
#’s 5 – 45 multiples of 5 |
| Sec. 10.2 |
pgs. 761 – 763 |
#’s 5 – 60 multiples of 5 |
| Sec. 10.3 |
pgs. 771 – 773 |
#’s 5 – 75 multiples of 5 |
| Sec. 10.4 |
pgs. 776 – 778 |
#’s 5 – 90 multiples of 5 |
| Sec. 10.5 |
pgs. 786 – 788 |
#’s 5 – 80 multiples of 5 |
| Sec. 10.6 |
pgs. 793 – 794 |
#’s 5 – 35 multiples of 5 |
| Sec. 10.7 |
pgs. 800 – 802 |
#’s 5 – 75 multiples of 5 |
| Sec. 10.8 |
pgs. 810 – 812 |
#’s 5 – 65 multiples of 5 |
| Sec. 10.9 |
pgs. 819 – 823 |
#’s 5 – 35 multiples of 5 |
| |
|
|
| Chapter 11 |
|
|
| Sec. 11.1 |
pgs. 840 – 843 |
#’s 5 – 20 mult. of 5, 27, 45 – 75 mult. of 5 |
| Sec. 11.2 |
pgs. 847 – 848 |
#’s 5 – 35 multiples of 5 |
| Sec. 11.3 |
pg. 851 |
#’s 5 – 40 multiples of 5 |
| Sec. 11.4 |
pgs. 857 – 859 |
#’s 5 – 60 multiples of 5 |
| Sec. 11.5 |
pgs. 865 – 867 |
#’s 5 – 50 multiples of 5 |
| Sec. 11.6 |
pgs. 873 – 874 |
#’s 5 – 30 multiples of 5 |
| Sec. 11.7 |
pgs. 881 – 883 |
#’s 5 – 40 multiples of 5 |
| Sec. 11.8 |
pgs. 893 – 896 |
#’s 5 – 55 multiples of 5 |
| Sec. 11.9 |
pgs. 907 – 911 |
#’s 5 – 45 multiples of 5 |
| |
|
|
| Chapter 15 |
|
|
| Sec. 15.1 |
pgs. 1127 – 1130 |
#’s 5 – 75 multiples of 5 |
| Sec. 15.2 |
pgs. 1136 – 1137 |
#’s 5 – 80 multiples of 5 |
| Sec. 15.3 |
pgs. 1143 – 1146 |
#’s 5 – 85 multiples of 5 |
| Sec. 15.4 |
pgs. 1149 – 1152 |
#’s 5 – 70 multiples of 5 |
| Sec. 15.5 |
pgs. 1157 – 1158 |
#’s 5 – 30 multiples of 5 |
| Sec. 15.6 |
pgs. 1166 – 1169 |
#’s 5 – 55 multiples of 5 |
| Sec. 15.7 |
pgs. 1173 – 1176 |
#’s 5, 10, 13, 20, 23, 27, 30, 35, 40 |
| Sec. 15.8 |
pgs. 1184 - 1187 |
#'s 5 - 95 multiples of 5 |
| |
|
|
| Chapter 16 |
|
|
| Sec. 16.1 |
pgs. 1206 – 1208 |
#’s 5 – 60 multiples of 5 |
| Sec. 16.2 |
pgs. 1216 – 1217 |
#’s 5 – 40 multiples of 5 |
| Sec. 16.3 |
pgs. 1224 – 1227 |
#’s 5 – 45 multiples of 5 |
| Sec. 16.4 |
pgs. 1234 – 1236 |
#’s 5 – 55 multiples of 5 |
| Sec. 16.5 |
pgs. 1245 – 1248 |
#’s 5 – 25 multiples of 5 |
| Sec. 16.6 |
pgs. 1254 – 1256 |
#’s 5 – 20 multiples of 5 |
| |
|
|
| Chapter 17 |
|
|
| Sec. 17.1 |
pgs. 1299 – 1302 |
#’s 5 – 30 multiples of 5 |
| Sec. 17.2 |
pgs. 1317 – 1320 |
#’s 5 – 60 multiples of 5 |
| Sec. 17.3 |
pgs. 1329 – 1331 |
#’s 5 – 80 multiples of 5 |
REVIEW FOR FINAL EXAM
The final exam for this course is cumulative. The problems on the exam are
similar to those that you
have worked to complete each unit. The best way to review all of the material is
to work the pretest and
review exercises from each of the chapters or sections that we have covered. If
you have any
difficulties, you should review that section of the chapter more thoroughly. If
you have any questions,
be sure to ask BEFORE you take the final exam. Remember, even though many
sections were not
specifically as signed it is assumed that the material was review in nature.
SUGGESTED TOPICS TO REVIEW:
Factoring polynomials.
Factoring out the GCF and factor by grouping.
Solving quadratic equations and word problems by factoring. (Pythagorean
Theorem)
Simplify, add, subtract, multiply, and divide rational expressions with the same
and
different denominators.
Solve equations and word problems involving rational expressions.
Simplify complex fractions.
Simplify, add, subtract, multiply, and divide radicals.
Solve equations and word problems involving radicals.
Use the Square Root Method, the Completing the Square Method, and the Quadratic
Formula to solve quadratic equations.
Graph quadratic equations involving two variables.
Graph exponential functions.
Find inverse functions and function composition.
Understand and use logarithmic functions and their properties.
STUDY HARD AND GOOD LUCK!!
