BASIC ALGEBRA (PART 2)

 

Math 152BB                                                                                          Winter, 2008

Mon/Wed/Fri                                                                                         11:00 – 12:25

Room: A211                                                                                                 5 units

 

INSTRUCTOR:                    Colleen McDonough

 

PHONE NUMBER / EMAIL:  541-4660 ext. 368 / mcdonough@ltcc.edu

 

Office Hours (A204)      Monday:         9:00 – 9:30 AM           

                                                                        5:00 – 6:00 PM

 

                  Tuesday:        3:00 – 4:00 PM   

 

                                       Wednesday:  12:30 – 1:00 PM   

                                                                      5:00 – 6:00 PM

 

                                       Thursday:       3:00 – 4:00 PM

 

                                          Or By Appointment

 
REQUIRED TEXT: Elementary and Intermediate Algebra 2nd Edition by Mark Dugopolski 
 
Optional Textbook: Student Manual for Elementary and Intermediate Algebra by Mark Dugopolski 

 

Course Description: In this class we will build on what you learned in Math 152A (Beginning Algebra Part I).  While you learned to multiply polynomials in Math 152A, we will do a reverse process called factoring in this class.  This will allow us to solve equations of higher degree than the first-degree equations that you solved in Math 152A.  We will also build on your knowledge of fractions as we work with algebraic fractions called rational expressions.  Additional topics include work with radicals so that we can solve equations with radicals and we will finish with techniques for solving quadratic equations, also known as second-degree equations.

Prerequisite:  A grade of C or better in Math 152A or equivalent, or satisfactory score on Mathematics Assessment Test.

 

Academic Dishonesty: Academic dishonesty of any form will not be tolerated.  Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense.   

 

Grading:  Your class letter grade will be based on the usual grading scale:

A:  90% and above,     B: 80-89%,      C: 70-79%,        D: 60-69%,    F: less than 60%

                       Homework                                   150 points                              

                       Quizzes                                              150 points

                          3 Exams (150 points each)              450 points

                        Comprehensive Final Exam:           250 points  

                        Total                                                1000 points

Your letter grade will be based on your percentage of the 1000 possible points.

I have given practice problems following each section.  These problems are for you to improve your understanding of the material and to prepare you for quizzes and exams.  Do SOME problems from each group of problems after their lectures. 

 

Homework:  The Even problems to turn in and their due dates are listed every week.  These problems are considered late if they are not turned in by  1:00 p.m. the day they are due.  If you will be absent, either turn in the homework early or have someone turn in the homework assignment for you.  Homework that is one class meeting late is worth 80%, two class meetings late is worth 70% and one week late receives half credit.  Homework turned in after one week receives no credit. 

 Quizzes:  There are no make-up quizzes.  The lowest quiz will be dropped.    

 Exams:  Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled.  Make-ups are possible, however, the student must contact me before the exam unless case of emergency.  Without a proven medical excuse, a 10% per day penalty will be given for each day the exam is taken late.

Calculators are NOT allowed during testing.  Please practice the homework without them.

 

 REGISTRATION:

         Ψ       You must register for this class at the Office of Admissions and Records.

Ψ      The last day to drop the class with no record is Friday, February 1.

Ψ      The last day to drop the class for a "W" grade is Friday, February 22.

Ψ      After February 22, if you are enrolled you will receive some kind of grade.

In this class, it is your responsibility to drop the class in order to avoid a grade.

 

 

LEARNING DISABILITIES:  If you have a learning disability, be sure to discuss your special needs with me.  Learning disabilities will be accommodated.

 

STUDENT LEARNING OUTCOMES

1. Factor a polynomial.

2. Apply the four basic operations to rational and radical expressions.

3. Solve equations with rational and radical expressions.

4. Solve a 2 x 2 system of linear equations.

5. Solve quadratic equations.

6. Apply course topics to real world situations.

 

TUTORING: Tutoring is available in Math Success Center located upstairs.  Tutoring hours are posted in your classroom.

 

ACADEMIC COACH:  Cindy Littell and Steve will be working as special tutors who assist students in Math 152A, Mat 152B, and Mat 154.  You are encouraged to take advantage of this extra help available only to beginning and intermediate algebra students.  The will be working in the tutoring center during the following times:

 

Steve:  MW 9 – 11 and TTh 4 – 6

Cindy: MW 12:00 – 1:30 and TTh 1:00 – 2:30

 

HOW TO SUCCEED IN A MATH CLASS:

 

Ψ      Come to every class meeting prepared and ready to participate.

 

Ψ      Arrive early, get yourself settled and be ready when class starts.  Sit where you won’t be distracted.

 

Ψ      Read each section before it is discussed in class.

 

Ψ      Do all of the homework.

 

Ψ      Do some math every day.

 

Ψ      Start preparing for tests at least a week in advance.

 

Ψ      Take advantage of tutors and office hours, extra help can make a difference        

 

Ψ      Do some review every time you study math

 

Ψ      Be willing to ask questions.

 

Ψ      Take notes.

 

The Comprehensive Final Exam is on Monday March 24 at 10 AM.

 

Date      Section       Topic       

 

 

1/7           2.4            Formulas

                 8.2            Absolute Value Equations and Inequalities

 

1/9           5.1            Factoring Out Common Factors

                 5.2            Factoring Special Products

 

1/11       5.2                Factoring Special Products (continued)

                                    Factoring by Grouping

                                             Turn in Homework #1 (Sections 2.4 & 8.2)

                 5.3            Factoring  with a =  1

 

1/14         5.4            Factoring  with 

                

 

1/16       5.5            Factoring sum & Difference of Two Cubes

                                General Factoring Strategies

 

1/18       5.6            Solving Quadratic Equations by Factoring

                                Quiz #1 (Sections 2.4, 8.2, 5.1 & 5.2)

                                          Turn in Homework #2 (Sections 5.1 – 5.4)                          

 

1/21         HOLIDAY

                

 

1/23         Exam #1 (Sections 2.4, 8.2, Chapter 5)

                                           Turn in Homework #3 (Sections 5.5 – 5.6)

                  

 

1/25         6.1             Reducing Rational Expressions

                

 

1/28         6.2             Multiplication & Division of Rational Expressions

 

1/30         6.3             Finding the Least Common Denominator

 

2/1           6.4             Addition & Subtraction of Rational Expressions

                                         Turn in Homework #4 (Sections 6.1 – 6.2)  

                

2/4         6.5             Complex Fractions

 

2/6         6.6             Solving Equations with Rational Expressions

 

 

 

Date      Section       Topic       

 

2/8           6.7             Applications of Ratios and Proportions

                                                Turn in Homework #5 (Sections 6.3 – 6.6)     

 

2/11         6.8             Applications of Rational Expressions (Handout)

                                 Quiz #2 (Sections 6.1 – 6.4)

                                     

2/13         7.1             Solving Systems of Equations by Graphing & Substitution

                 7.2             Solving Systems of Equations with the Addition Method

 

2/15         HOLIDAY  

                  

2/18         HOLIDAY

 

2/20       8.3             Compound Inequalities in Two Variables

                                          Turn in Homework #6 (Sections 6.7, 6.8, and 7.1)            

                 Review for Exam #2

 

2/22      Exam #2 (Chapter 6 & Sections 7.1, 7.2 & 8.3)

                                            Turn in Homework #7 (Sections 7.2 & 8.3)

                  

2/25       9.1              Radicals

 

2/27         9.2              Rational Exponents      

 

2/29         9.3              Operations with Radicals

                                                Turn in Homework #8 (Section 9.1 & 9.2)

3/3           9.4              More Operations with Radicals

                                            

 

3/5           9.5              Solving Equations with Radicals and Exponents

 

3/7           9.6             Complex Numbers 

 

3/10         3.5              Variations

 

3/12         Review  for Exam #3 (Chapter 9)

                                     Quiz #3 (Sections 9.1 – 9.5)

                                                Turn in Homework #9 (Section 9.3, 9.4, 9.5)

 

3/14         Exam #3 (Chapter 9)

 

3/17         10.1            Solving Quadratics by Factoring and Completing the Square

 

3/19         10.2            The Quadratic Formula

 

3/21         Review

                                    Turn in Homework #10 (Section  3.5, 10.1, 10.2)

 

3/24         Cumulative Final Exam (10:00 – 11:50)

                                   

 

MATH 152B ASSIGNMENTS

 

Each assignment is worth 15 points.  You will turn in only the even numbered problems listed in bold print to be graded.  The remaining problems you will be checking yourself in the back of the book.  Be sure to use class time, office hours, and the Gateway Math Center to get all of your questions answered.

 

  

SECTION                                                             PROBLEMS

  

2.4       Practice problems:               pgs. 109 – 111, # 7 – 53 EOO, #61 – 87 EOO.

2.4       Even Problems:                                 #20, 32, 74.

 

5.1       Practice problems:               pgs. 316 –318, #1–13 Odd,  #19 – 61 EOO, #67–85                                                                 EOO, #93. 

5.1       Even Problems:                                 #34, 74, 88.

 

5.2       Practice problems:               pgs. 323 – 324, #1 – 37 EOO, #49 – 91 EOO.

5.2       Even Problems:                                 #14, 44, 86.

 

5.3       Practice problems:               pgs. 330–331, #3 – 75 EOO, #81 – 93 Odd, 101, 107.

5.3       Even Problems:                                 #28, 86, 104.

 

5.4       Practice problems:               pgs. 338 – 339, #1 – 7 Odd, #15 – 45 EOO, #77 – 95

                                                            EOO, 103.

 

5.4       Even Problems:                                 #6, 44, 82, 94

 

5.5       Practice problems:               pgs. 344–346, #1 – 11 Odd, #17, 21, 27, 33, #43 – 95                                                  EOO.

5.5       Even Problems:                                 #26, 32, 94

 

5.6       Practice problems:               pgs. 353 – 355, #1 – 11 Odd, #19 – 71 EOO, 81.

5.6       Even Problems                                  #16, 28, 68

                                                                               

6.1       Practice problems:               pgs. 373 – 375, #1 – 9 Odd, #13 – 19 Odd, #23 – 53                                                                 EOO, #61 – 95 EOO.

6.1       Even Problems:                                 #36, 52, 54, 70.

 

 

SECTION                                                             PROBLEMS

 

6.2       Practice problems:               pgs. 381 – 383, #1 – 9 Odd, #19 – 59 EOO, 67, 75.

6.2       Even Problems:                                 #28, 42, 74.

 

6.3       Practice problems:               pgs. 389 – 391, #1 – 13 Odd, #25 – 49 EOO, 55 – 67

                                                            EOO.

 

6.4       Practice problems:               pgs. 398 – 400.  #1 – 67 EOO, #75, 77, 83, 85, 87.

6.4       Even Problems:                                 #18, 48, 58, 86.

 

6.5       Practice problems:               pgs, 406 – 407, #1 – 9 Odd, #15 – 45 EOO, 49, 53.

6.5       Even Problems:                                 #14, 26, 34.

 

6.6       Practice problems:               pgs. 412 – 413, #1 – 9 Odd, #13 – 63 EOO

6.6       Even Problems:                                 #20, 48. 62.

 

6.7       Practice problems:               pgs. 419 – 421, #1 – 9 Odd, #17 – 53 EOO.

6.7       Even Problems:                                 #6, 38, 48.                                                      

 

6.8       Practice problems:               pgs. 428 – 431, #3–17 Odd, #23– 29 Odd, #33 – 43

                                                            Odd, 49 – 53 Odd.

6.8       Even Problems:                                 #14, 34, 44.

 

7.1       Practice problems:               pgs. 449 – 451, #1 – 15 Odd, #21 – 45 EOO,

                                                            #47 – 71 EOO.

7.1       Even Problems:                                 #12, 36, 64.

 

7.2       Practice problems:               pgs. 460–462, #1–11 Odd, #19 – 37 EOO, 59, 63, 65.

7.2.      Even Problems:                                 #14, 26, 52.

 

8.2       Practice problems:               pgs. 519 – 521, #1 – 9 Odd, #21 – 43 EOO, #55 – 75

                                                            EOO, 85, 87.

8.2       Even Problems:                                 #26, 62, 82.

 

8.3       Practice problems:               pgs. 528 – 531, #1 – 29 Odd

8.3       Even Problems:                                 #14, 18, 28.

 

9.1       Practice problems:               pgs. 557 - 559, #1 - 15 Odd, #21 - 55 EOO, #65 - 107

                                                            EOO.

9.1       Even Problems:                                 #74, 86, 98.

 

9.2       Practice problems:               pgs. 567 – 568, #1 – 13 Odd, #17 – 59 EOO,

                                                            #61 – 111 EOO, 121, 125.

SECTION                                                             PROBLEMS

 

9.3       Practice problems:               pgs, 575 – 576, #1 – 13 Odd, #19 – 29 EOO,

                                                            #39 – 55 EOO, #65 – 101 EOO.

9.3       Even Problems:                                 #26, 48, 100.          

 

9.4       Practice problems:               pgs. 583 – 585, #3 – 11 Odd, #19 – 55 EOO,

                                                            #61 – 93 EOO, #101 – 107 Odd.

9.4       Even Problems:                                 #28, 56, 102.

 

9.5       Practice problems:               pgs. 593 – 595, #1 – 9 Odd, #17 – 75 EOO, #77 – 97

                                                            EOO.

9.5       Even Problems:                                 #21, 40, 54, 70.

 

9.6       Practice problems:               pgs. 604 – 605, #1 – 13 Odd, #19 – 39 EOO,

                                                            #51 – 67 Odd, #73 – 101 EOO.

9.6       Even Problems:                                 #14, 52, 78, 84. 

 

3.5       Practice problems:               pgs. 221 – 223, # 1-4, 5-14 EOO, 19- 29 Odd, 39

3.5       Even Problems:                                 #26, 32, 40

 

10.1    Practice problems:               pgs. 626 – 628, #1 – 9 Odd, #19 – 29 Odd,

                                                            #35 – 57 EOO, #59 – 95 EOO.

10.1    Even Problem:                                   #22, 44, 70.

 

10.2    Practice problems:               pgs. 636 – 637, #1 – 11 Odd, #19 – 35 EOO,

                                                            #49 – 61 EOO, 77, 81.

10.2    Even Problems:                                 #24, 52, 76.