BASIC ALGEBRA  (Part II)

 

Math 152B-2                                                                                                  Spring, 2006

Monday & Wednesday                                                                                 4:00 – 5:50

Room: E100                                                                                                   4 units

 

INSTRUCTOR:                     Jane Ellis

 

PHONE NUMBER:              541-4660, Extension 247

 

E-MAIL:                                ELLIS@LTCC.EDU

 

OFFICE;                                 A204

 

REQUIRED TEXT:              Elementary and Intermediate Algebra, second edition

                                                             By Mark Dugopolski

 

RECOMMENDED TEXT:  Student Solution Manual

                                                            Prepared by Mark Dugopolski

 

COURSE DESCRIPTIONIn 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.

 

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 information.

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.

 

 

 

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OVER

JANE’S COMMITMENT TO THIS CLASS:

·        I will check the earlier part of my day at the door when I enter the classroom, and I will give this class 100% of my attention while we are meeting.

·        I will come to class well prepared.

·        I will be here on time.

·        I will listen and seek to understand what is being said.

·        I will not shortchange the students in this class by setting low standards.

·        I will put 100% of my effort into being the best possible teacher for the students in this class.

 

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

 

GRADING POLICY:                       

                                                Homework (11 assignments@8 points each)                 88 points

                                                Exam #1: Sections 2.4, 8.2 & Chapter 5                       100 points

                                                Exam #2: Chapter 6 & Sections 7.1, 7.2 & 8.3 100 points

                                                Exam #3: Chpt. 9 & Sections 10.1, 10.2 & 3.5 100 points

                                                Quizzes* (Three at 20 points each)                               60 points

                                                Final (Covers entire course content)                              150 points

 

*If you spend at least one hour a week (for a total of at least 10 hours) in the Gateway Math Center (room G4), you may add 6 points to your lowest quiz score.

 

            Your letter grade will be based on your percentage of the 598 possible points.

 

                                                            A         90-100%

                                                            B          80-89%

                                                            C         70-79%

                                                            D         60-69%

                                                            F          less than 60%

 

 

Make-up Policy:             For quizzes there is no make-up, however if the absence is excused, you will receive the same percentage grade on the quiz as you earn on the exam, which covers the same material.  For Chapter Exams and the Final, make-up is possible, but there is a 10% penalty if the absence is not excused.  Homework will be accepted late with a penalty of 2 points for each class meeting that it is late.  Each assignment is 8 points.

 

 

LEARNING DISABILITIES:          If you have a certifiable learning disability that may affect your performance in this class, be sure to discuss your special needs with Jane during the first week of class.  Learning disabilities will be accommodated.

 

 

“Let There Be No Activity without Achievement”

 

REGISTRATION:

 

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

Ø      The last day to drop the class with no record is Friday, April 28.

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

Ø      After June 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.

 

 

OFFICE HOURS:      (Office is in room A204)          

                                    Monday ......................................... 2:00 – 3:00  & 3:30 – 4:00

                                    Tuesday.......................................... 3:00 – 4:00

                                    Wednesday..................................... 2:00 - 2:30 & 3:00 – 4:00

                                    Thursday......................................... 6:00 – 7:00

 

 

TUTORING:                          Tutoring is available in the Gateway Math Center in Room G4 in the portable buildings near the LAC and the Photography Lab.  The phone number is 541-4660 extension 741.

Regular hours of operation are: M-Th 9am-6pm, Fri 10am-4pm, Sat 11am-3pm

 

 

 

HOW TO SUCCEED IN A MATH CLASS:

           

1) Come to every class meeting.

            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.

            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 big difference.

            8) Do some review every time you study math.

            9) Be willing to ask questions.

            10) Take notes.

            11) Study in groups and find a study buddy.

 

 

 

OVER

 

SCHEDULE

 

“Nothing is troublesome that we do willingly”     Thomas Jefferson

 

 

  Date          Section                            Topic

 

April 3........                              Introductions, Discussion of Syllabus

                    2.4                        Formulas

                    8.2                        Absolute Value Equations and Inequalities        

 

April 5........ 5.1                        Factoring Out Common Factors

                    5.2                        Factoring Special Products

Factoring by Grouping

                                                            Turn in Homework #1 (Sections 2.4 & 8.2)

                                                                                                                                               

 

April 10...... 5.3                        Factoring  with a = 1

5.4                                               Factoring  with 

 

April 12...... 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)                          

                                                                                                                                               

 

April 17                                    Review for Exam #1

 

April 19                                    Exam #1 (Sections 2.4, 8.2, Chapter 5)

                                                Turn in Homework #3 (Sections 5.5 – 5.6)

                                                                                                                                               

 

April 24...... 6.1                        Reducing Rational Expressions

6.2                                               Multiplication & Division of Rational Expressions

 

April 26...... 6.3                        Finding the Least Common Denominator

6.4                                               Addition & Subtraction of Rational Expressions

                                                            Turn in Homework #4 (Sections 6.1 – 6.2)  

                                                                                                                                               

 

May 1......... 6.5                        Complex Fractions

                    6.6                        Solving Equations with Rational Expressions

 

May 3......... 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)  

 

Schedule (continued)

 

Date            Section                            Topic

 

 

May 8......... 7.1                        Solving Systems of Equations by Graphing & Substitution

                    7.2                        Solving Systems of Equations with the Addition Method

 

May 10....... 8.3                        Compund Inequalities in Two Variables

9.1                         Radicals

                             Turn in Homework #6 (Sections 6.7 - 7.2)   

                                                                                                                                               

 

May 15                                    Review for Exam #2

 

May 17                                    Exam #2 (Chapter 6 & Sections 7.1, 7.2 & 8.3)

                                                Turn in Homework #7 (Sections 8.3 & 9.1)                                                                                                                                                              

 

May 22....... 9.2                        Rational Exponents

                    9.3                        Operations with Radicals

 

May 24....... 9.4                        More Operations with Radicals

                    9.5                        Solving Equations with Radicals and Exponents

                                                            Turn in Homework #8 (Section 9.2 & 9.3)

                                                                                                                                                 

 

May 29.......                              MEMORIAL DAY HOLIDAY

 

May 31....... 9.6                        Complex Numbers

10.1                                           Solving Quadratics by Factoring and Completing the Square

                                                            Quiz #3 (Sections 9.1 – 9.5)

                                                            Turn in Homework #9 (Section 9.4 &  9.5)

                                                                                                                                                 

 

June 5......... 10.2                      The Quadratic Formula

                    3.5                        Variation                                 

                                                           

June 7.........                              Review for Exam #3

                                                Turn in Homework #10 (Section 9.6 & 10.1)

 

                                                                                                                                                 

 

June 12                                    Exam #3 (Chapter 9 & Sections 10.1, 10.2 & 3.5)

 

June 14                                    Review for Final Exam

                                                Turn in Homework #11 (Section 10.2 & 3.5)

                                                                                                                                                 

 

June 19                                    Cumulative Final Exam (4:00 – 5:50)



MATH 152B ASSIGNMENTS

 

TEXT: "Elementary and Intermediate Algebra” second edition

by Mark Dugopolski

INSTRUCTOR: JANE ELLIS

 

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.

 

 

“It is well to remind ourselves that anxiety signifies conflict, and so long as a conflict is going on, a constructive solution is possible.”    Rollo May

 

 

 

SECTION                                                                               PROBLEMS

 

      2.4............................................................ Pages 109 & 110 #1-4, 7-51 every other odd, 73 -79 odd

      .................................................................                         #14, 32

      8.2............................................................ Pages 519 & 520 #1- 6, 25 – 65 odd

      .................................................................                         #64, 66

 

      5.1............................................................ Pages 316 & 317 #1, 6, 7 – 87 every other odd, 91

      .................................................................                         #62, 88

      5.2............................................................ Pages 323 & 324 #4 - 6, 7-91 every other odd

      .................................................................                         #52, 68

      5.3............................................................ Pages 330 & 331 #4, 7-103 every other odd

      .................................................................                         #48, 100

      5.4............................................................ Pages 338 & 339 #15-45 odd, 77-101 every other odd

      .................................................................                         #36, 94

5.5............................................................ Pages 344 & 345 #17-105 every other odd

      .................................................................                         #66, 100

      5.6............................................................ Page 353 & 354 #1, 3, 7-59 every other odd, 67, 69

      .................................................................                         #28, 56

 

      6.1............................................................ Pages 373 – 375 #1-6, 9, 13-19 odd,

      .................................................................             21-97 every other odd,     #52, 76

      6.2............................................................ Pages 382 & 383 #3, 4, 5-81 every other odd

      .................................................................                         #28, 48

      6.3............................................................ Pages 390 & 391 #41-71 odd

      .................................................................                         #58, 68

 

 

OVER

 

SECTION                                                       PROBLEMS

 

6.4............................................................ Pages 398 & 399 #5-65 every other odd

      .................................................................                         #48, 56

      6.5............................................................ Pages 406 & 407 #1-49 every other odd, 55

      .................................................................                         #22, 38

      6.6............................................................ Pages 412 & 413 #1-4, 5-65 every other odd

      .................................................................                         #26, 38

      6.7............................................................ Pages 419 - 421 #1, 4-6, 5-53 every other odd, 64

      .................................................................                         #40, 50

      6.8............................................................ Pages 428 - 430 #1-43 odd

      .................................................................                         #16, 38

 

 

      7.1............................................................ Pages 450 & 451 #5, 6, 7-17 odd, 25-45 odd, 63-75 odd

      .................................................................                         #10, 26, 32

      7.2............................................................ Pages 460 & 461 #1-6, 7-63 every other odd, 65

      .................................................................                         #18, 56

 

      8.3............................................................ Pages 528 & 529 #1-6, 7, 9, 13-29 odd,

      .................................................................                         #24, 28

 

      9.1............................................................ Pages 558 & 559 #7-99 every other odd, 109, 111

      .................................................................                         #40, 86, 98

      9.2............................................................ Pages 567 & 568 #1-4, 7-111 every other odd,                                         .................................................................             omit #63, 67     #20, 36, 82

      9.3............................................................ Pages 575 & 576 # 1, 2, 5-53 every other odd

      .................................................................                         #65-101 every other odd,     #22, 86

      9.4............................................................ Pages 583 - 585 #1-81 every other odd,

      .................................................................                         #36, 58

      9.5............................................................ Pages 594 & 595 # 5-43 odd, 59-91 every other odd

      .................................................................                         #16, 42

      9.6............................................................ Pages 604 & 605 #1, 2, 5-101 every other odd

      .................................................................                         #24, 84

 

      10.1.......................................................... Pages 626 - 628 # 1-3, 5-35 odd, 41-47 odd

      .................................................................             #51, 53, 67, 69, 77-93 odd,     #22, 54

      10.2.......................................................... Pages 636 & 637 #1-5, 7-45 odd, 51, 53, 75, 77

      .................................................................                         #16, 20, 62

 

3.5............................................................ Pages 221 & 222 #1-29 odd, 39-47 odd

.................................................................                         #12, 14, 28, 46