BASIC ALGEBRA (PART 2) & SUPPLEMENT

 

Math 152B & Mat 184                                                                         Fall, 2007

Tues/Thurs.                                                                                        3:30 – 5:20

Room: E100                                                                                                  4 units

 

INSTRUCTOR:                    Colleen McDonough

 

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

 

SUPPLEMENTAL CLASS:   Mat 184 – Optional class for additional instructional and/or assistance time per week.               

Meets one hour per week: Tuesday and Thursday 5:25 – 5:50 p.m.

 

Office Hours (A204)      Monday:         12:30 – 1:30 PM 

                                       Tuesday:         2:30 – 3:30 PM   

                                       Wednesday:  12:30 – 1:30   

                                       Thursday:       2:30 – 3:30 PM

                                        Friday:               10:00 – 11:00 AM   

                                          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                                             100 points

                           Project                                                     50 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.

Math 184 (Optional) Supplement to Beginning Algebra (Part I)      1 Unit 

This optional class is taken Credit/No Credit.  Grade is based on attendance.

 

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.  I do not collect practice problems.

 

Homework:  The Even problems to turn in Their due dates are listed every week.  These problems are considered late if they are not turned in by 5:00 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 score will be dropped. 

 Exams:  You must notify me before an exam if you will miss the exam (541-4660 EXT 368).  You may take an exam before the scheduled date without penalty.  Arrangements must be made with me one week in advance.  Exams taken late will be penalized 10%.

 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, October 12.

Ψ      The last day to drop the class for a "W" grade is Friday, November 2.

Ψ      After November 2, 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 OUTCOMES

The successful student will:
1. Exhibit a proficiency in the topics covered in the course;
2. Engage in logical and critical thinking;
3. Read technical and graphical information; and
4. Demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate math statements, and checking and verifying results.
 

TUTORING: Tutoring is available in the Gateway Math Center in Room G4 in the portable building near the PE classrooms.  Tutoring hours are posted in your classroom.

 

ACADEMIC COACH:  Cindy Littell will be working s a special tutor who assist students in Math 152A (that’s you), Mat 152B, and Mat 154.  You are encouraged to take advantage of this extra help available only to beginning and intermediate algebra students.  She will be located in the Gateway Math Center, G4, during the following times:  MW  3:00 – 5:00 and TTH 1:00 – 3:00

 

 

HOW TO SUCCEED IN A MATH CLASS:

 

            1)  Come to every class meeting prepared and ready to participate.

 

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

 

            3)  Read each section before it is discussed in class.

 

 

            HOW TO SUCCEED IN A MATH CLASS continued):

 

4)  Do all of the homework.

 

            5)  Do some math every day.

 

            6)  Start preparing for tests at least a week in advance.

 

7)  Take advantage of tutors and office hours, extra help can make a              difference.

 

            8)  Do some review every time you study math

 

            9)  Be willing to ask questions.

 

10)        Take notes.

 

 The Comprehensive Final Exam is on Tuesday, December 4 at 4 PM.

 

 

SCHEDULE

 

Date        Section      Topic

 

9/18         2.4            Formulas

                 8.2            Absolute Value Equations and Inequalities

 

9/20         5.1            Factoring Out Common Factors

                5.2            Factoring Special Products

                                    Factoring by Grouping

                                             Turn in Homework #1 (Sections 2.4 & 8.2)

 

9/25         5.3            Factoring  with a =  1

                 5.4            Factoring  with 

 

9/27         5.5            Factoring sum & Difference of Two Cubes

                                General Factoring Strategies

                 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)                          

 

10/2                         Review for Exam #1

 

Date        Section      Topic (continued)

 

10/4        Exam #1 (Sections 2.4, 8.2, Chapter 5)

                                           Turn in Homework #3 (Sections 5.5 – 5.6)

 

10/9         6.1             Reducing Rational Expressions

                 6.2             Multiplication & Division of Rational Expressions

 

10/11       6.3             Finding the Least Common Denominator

                 6.4             Addition & Subtraction of Rational Expressions

                                         Turn in Homework #4 (Sections 6.1 – 6.2)  

 

10/16       6.5             Complex Fractions

                 6.6             Solving Equations with Rational Expressions

 

10/18       6.7             Applications of Ratios and Proportions

                 6.8             Applications of Rational Expressions (Handout)

                                 Quiz #2 (Sections 6.1 – 6.4)

                                           Turn in Homework #5 (Sections 6.3 – 6.6)  

 

10/23       6.8             Finish Section 6.8

               7.1             Solving Systems of Equations by Graphing & Substitution

 

10/25       7.2             Solving Systems of Equations with the Addition Method

               8.3             Compound Inequalities in Two Variables

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

 

10/30                        Review for Exam #2

 

11/1         Exam #2 (Chapter 6 & Sections 7.1, 7.2 & 8.3)

                                            Turn in Homework #7 (Sections 7.2 & 8.3)

 

11/6         9.1              Radicals

                 9.2              Rational Exponents      

            

11/8         9.3              Operations with Radicals

               9.4              More Operations with Radicals

                                            Turn in Homework #8 (Section 9.1 & 9.2)

 

11/13       9.5              Solving Equations with Radicals and Exponents

               9.6              Complex Numbers

 

 

                                                           

 

 

Date        Section      Topic

 

11/15       9.6             Finish Section 9.6 

                 3.5              Variations

                                     Review  for Exam #3 (Chapter 9)

                                     Quiz #3 (Sections 9.1 – 9.5)

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

 

11/20       Exam #3 (Chapter 9)

                                           

11/22       THANKSGIVING HOLIDAY

 

11/27      10.1            Solving Quadratics by Factoring and Completing the Square

                 10.2            The Quadratic Formula

 

12/4                         Cumulative Final Exam (4:00 – 5:50)

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

 

MATH 152B ASSIGNMENTS

 

 

Each assignment is worth 8 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

SECTION                                                             PROBLEMS

  

 

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.

 

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.

 

 

 

 

SECTION                                                             PROBLEMS

  

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.

9.2       Even Problems:                                 #50, 84, 110.

 

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.