INTERMEDIATE ALGEBRA 

 

Math 154-1/185-1                                                                                          Fall, 2006

Monday, Wednesday & Friday                                                                     4:00 – 5:50

Room: A209                                                                                                   4 units

 

INSTRUCTOR:                     Jane Ellis

 

PHONE NUMBER:              541-4660, Extension 247

 

OFFICE:                                 A204

 

E-MAIL:                                ELLIS@LTCC.EDU

 

REQUIRED TEXT:              Elementary and Intermediate Algebra, Second Edition

By Mark Dugopolski. 

 

RECOMMENDED TEXT:  Student Solution Manual, Prepared by Mark Dugopolski

                                                           

COURSE DESCRIPTION            MATH 154:

                                                            Welcome to the third class in the algebra sequence here at LTCC.  In this course, you will use many skills that you learned in Math 152A/B (Beginning Algebra).  We will continue our study of functions and quadratic equations including systems of quadratic equations.  New topics will include inverses of functions, exponential and logarithmic functions, conic sections, and sequences and series.

                                                            MATH 185:

This course is taken in conjunction with Math 154. This “class” gives us an extra hour each week so that we can take time to go over the concepts more carefully and thoroughly.  The class is specially designed for students who are nervous about math and/or find math difficult to master.

 

THESE TWO CLASSES MUST BE TAKEN CONCURRENTLY.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

OVER

CALCULATOR:              You will need a scientific calculator for this course.  It should have the following keys: log, ln, and an exponent key.  Graphing calculators are not allowed.  (See handout for more details)

 

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 152B or equivalent, or satisfactory score on Mathematics Assessment Test.

 

GRADING POLICY:                        MATH 154:

                                                            Method of Student Evaluation

 

                                    Homework (10 assignments @ 8 points each)               80 points

                                    Exam #1: Sections 10.3 -10.5, 11.2, 11.3, 11.6, 11.7               100 points

                                    Exam #2: Sections 12.1- 12.4, 7.3, 13.2, 13.3              100 points

                                    Exam #3: Sections 13.1, 13.4, 13.5, 14.1 – 14.5                      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 will receive 6 points extra credit.

 

            Your letter grade will be based on your percentage of the 590 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 certified learning disability that may affect your performance in this class, be sure to discuss your special needs with Jane.  Learning disabilities will be accommodated.

 

 

TUTORING:                          Tutoring is available in the Gateway Math Center (GMC) in Room G4 in the portable buildings near the dance room and photo lab.  Tutoring schedules will be distributed to you in class.

 

 

JANE’S OFFICE HOURS:

 

                                    Monday & Wednesday................. 12:30 – 1:30 (A204)

                                    Monday.......................................... 4:00 – 5:00 (Gateway Math Center)

                                    Tuesday.......................................... 3:00 – 4:00 (A204)

                                    Thursday......................................... 7:00 – 8:00

                                   

 

MATH 185:

Method of Student Evaluation

 

The grade will be either Credit or No Credit.

 

*In order to receive Credit for this one-unit course you must pick one of the following paperback books and read the appropriate chapters.

1. Managing the Mean Math Blues, by Cheryl Ooten, Chapters 16 & 17.

2. Conquering Math Anxiety, by Cynthia Arem, Chapters 9 & 10.

3. Overcoming Math Anxiety, by Randy Davidson & Ellen Levitov, Chapters 5, 8, 10

They are on reserve at the library.  Then type a two-page paper on what you have learned from these chapters and how it will help you in your current math class. 

 

These books are on reserve in the LTCC Library and also available to be checked out.

 

 

THE PAPER WILL BE DUE: Friday, October 13.

 

 

 

 

 

 

 

OVER

 

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.

 

 

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.
                                                                       

REGISTRATION:

 

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

                        2.         The last day to drop the class with no record is Friday, October 13.

                        3.         The last day to drop the class for a "W" grade is Friday, November 17.

4.         After November 17, if you are enrolled, you will receive one of the following grades: A  B  C  D  F  or  I  (Incomplete, is only allowed in special cases).

 

In this class, it is your responsibility to drop the class in order to avoid a grade.  You must go to the registrar by the above dates to avoid a grade from option three or four.

 

 

 

SCHEDULE

 

  Date          Section                            Topic

 

Sept. 18......                              Introductions, Discussion of Syllabus

10.3                                           Quadratic Functions and Their Graphs

Sept. 20...... 10.4                      More About Quadratic Equations

Sept. 22...... 10.5                      Quadratic and Rational Inequalities

                                                            Turn in Homework #1 (Section 10.3)           

                                                                                                                                               

 

Sept. 25......                              Finish Chapter 10 (Handout)

Sept. 27...... 11.2                      Graphs of Functions & Relations 

Sept. 29...... 11.3                      Transformations of Graphs

                                                Quiz #1 (Sections 10.3 – 10.5)

                                                Turn in Homework #2 (Sections 10.4 & 10.5)

                                                                                                                                               

 

Oct. 2......... 11.6                      Combining Functions

Oct. 4......... 11.7                      Inverse Functions

Oct. 6......... 11.7                      Inverse Functions (con’t)

                                                            Turn in Homework #3 (Sections 11.1 & 11.2)

                                                                                                                                               

 

Oct. 9                                      Review for Exam #1

Oct. 11                                    Exam #1 (Sections 10.3 -10.5 & 11.1 – 11.4)

Oct. 13....... 12.1                      Exponential Functions & Their Applications

                                                            Turn in Homework #4 (Section 11.3 & 11.4)

                                                            PAPER DUE             

                                                                                                                                               

 

Oct. 16....... 12.2                      Logarithmic Functions & Their Applications

Oct. 18....... 12.3                      Properties of Logarithms

Oct. 20....... 12.4                      Solving Equations & Applications

                                                            Turn in Homework #5 (Sections 12.1 & 12.2)         

                                                                                                                                               

 

Oct. 23.......                              Summary of Exponential & Logarithmic Equations

Oct. 25....... 7.3                        Solving Linear Equations in Three Variables

 

Oct. 27....... 13.2                      The Parabola

                                                            Quiz #2 (Sections 12.1 – 12.4)

                                                            Turn in Homework #6 (Sections 12.3 & 12.4)

                                                                                                                                               

 

 

 

 

 

OVER

Schedule Continued

 

Date            Section                            Topic

 

Oct. 30.......      13.3                 The Circle

Nov. 1                                     Review for Exam #2

Nov. 3                                     Exam #2 (Sections 12.1 – 12.4, 8.3, 13.2, 13.3)

                                                            Turn in Homework #7 (Sections 8.3, 13.2 & 13.3)

                                                                                                                                               

 

Nov. 6........ 13.4                      The Ellipse and The Hyperbola

Nov. 8........ 13.5                      Second-Degree Inequalities

Nov. 10                                   VETERAN’S DAY HOLIDAY

                                                                                                                                               

 

Nov. 13...... 13.1                      Nonlinear Systems of Equations

Nov. 15...... 14.1                      Sequences

Nov. 17       14.2                      Series

                                                Quiz #3 (Sections 13.1, 13.4, & 13.5)

                                                Turn in Homework #8 (Sections 13.4, 13.5 & 13.1)

                                                                                                                                               

 

Nov. 20...... 14.3                      Arithmetic Sequences and Series

Nov. 22...... 14.4                      Geometric Sequences & Series

                                                            Turn in Homework #9 (Sections 14.1, 14.2 & 14.3)

Nov. 24......                              THANKSGIVING HOLIDAY

                                                                                                                                               

 

Nov. 27                                   Review for Exam #3

Nov. 29                                   Exam #3 (Sections 13.1, 13.4, 13.5 & 14.1 – 14.4)

                                                            Turn in Homework #10 (Section 14.4)

Dec. 1                                      Review for Final Exam

                                                                                                                                               

 

Dec. 4                                      Cumulative Final Exam (10:00 – 11:50)



MATH 154 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

 

      10.3.............................................. Pages 645-648 #1-6, 7, 11, 13-57 every other odd, 59-65 odd

      .....................................................                         #42, 62

      10.4.............................................. Pages 656 & 657 #5, 9, 11, 15, 27-55 every other odd,                                         ..................................................... 81, 83, 87     #36, 84

      10.5.............................................. Pages 668 - 669 #4, 5-13 odd, 25-33 odd      

      .....................................................                          #12, 34

 

      11.2.............................................. Pages 701 – 703 #7, 13, 17-41 odd

      .................................................................             #26, 40

      11.3.............................................. Pages 713 - 716 #1-6, 7, 11, 15 - 51 every other odd

      .................................................................             #40, 52

      11.6.............................................. Pages 744 - 745 #5-61 every other odd

      .................................................................             #46, 56

11.7.............................................. Pages 754 - 756 #1-8, 9-23 odd, 31-63 every other odd

      .................................................................             #34, 50

 

 

      12.1.............................................. Pages 784 - 787 #1-6, 7-47 every other odd, 53-61 odd,

      .................................................................             83, 85, 93        #32, 60, 84

      12.2.............................................. Pages 795 - 797 #1, 3-6, 7-17 odd, 19-43 every other odd, 49,

      .................................................................             51, 57-73 odd, 85, 87, 89        #52, 70, 86

12.3.............................................. Pages 804 - 805 #1-6, 7-79 every other odd, 81-93 odd, 97

      .................................................................             #68, 80

      12.4.............................................. Pages 812- 814 #1-81 every other odd, 83

      .................................................................             #34 (approximate the solution), 64

 

 

OVER

 

SECTION                                                       PROBLEMS

 

      7.3................................................ Pages 469 - 470 #13, 17, 21, 23, 25, 31, 35, 41, 45

      .................................................................             #18, 28

 

      13.2.............................................. Pages 843 - 845 #7 – 13 odd, 33-45 odd, 57, 59, 67, 69

      ................................................................. #10, 38, 48 (Do not find focus or directrix)  

      13.3.............................................. Pages 850 - 851 #1, 2, 3–31 every other odd, 33, 35, 37, 45, 47

      .................................................................             #38, 46

      13.4.............................................. Pages 862 - 864 #9-21 odd, 29-39 odd, 47-53 odd

      .................................................................             #18, 32

      13.5.............................................. Pages 870 - 872 #1, 5, 9, 15-23 odd, 27, 35, 37, 39

      .................................................................             #30, 32

      13.1.............................................. Pages 832 - 833 #5, 13, 17, 19, 25, 27, 45

      .................................................................             #20, 28

 

      14.1.............................................. Pages 892 - 893 #1, 2, 5–25 every other odd, 27-37 odd, 41                                ..................................................... #24, 36

      14.2.............................................. Pages 898 & 899 #3-43 every other odd, 51

      .................................................................             #22, 42

      14.3.............................................. Pages 903 - 904 #1, 3, 5-57 every other odd

      .................................................................             #38, 50

      14.4.............................................. Pages 912 - 914 #1,3 5, 7–55 every other odd, 59

      .................................................................             #14, 28, 38

      14.5.............................................. Page 920 #13, 17, 19, 21, 25, 27, 33-39 odd

      .................................................................             #20, 40