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Syllabus for Intermediate Algebra

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, Intermediate 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 fellow 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: Tuesday, December 8 from 11am – 1pm

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
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