INTERMEDIATE ALGEBRA 

 

 

Math 154-1 & 185-1                                                                                      Spring, 2005

Mon., Wed. & Fri.                                                                                         11:00 - 12:25

Room: A209                                                                                                   4 units & 1 unit

 

 

INSTRUCTOR:                     Jane Ellis

 

PHONE NUMBER:              541-4660, Extension 247

 

E-MAIL:                                ELLIS@LTCC.EDU

 

REQUIRED TEXT:              Elementary and Intermediate Algebra

                                                             By Mark Dugopolski

 

RECOMMENDED TEXT:  Student Solution Manual

                                                            Prepared by Mark Dugopolski

 

CALCULATOR:                    You will need a scientific calculator for this course.  It should have a ln key, a log key, and an exponent key.  Graphing calculators are not allowed.

 

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.

 

 

 

 

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

 

GRADING POLICY:                        MATH 154:

                                                            Method of Student Evaluation

                                                Homework                                                                   80 points

                                                Exam #1: Sections 10.3-10.5, 11.1-11.4                      100 points

                                                Exam #2: Sections 12.1-12.4, 8.3, 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 may add 6 points to your lowest quiz score.

 

            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 have a penalty of 2 points for each class meeting that it is late.

 

 

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.

 

 

:

 

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.

 

 

THE PAPER WILL BE DUE: Friday, April 22.

 

 

 

                                                                                               

OFFICE HOURS:                 

                                    Monday ......................................... 1:00 – 2:00 (Gateway Math Center)

                                    Monday.......................................... 5:30 – 6:00 (HSPC4)

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

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

                                    Wednesday..................................... 5:30 – 6:00 (HSPC4)

                                    Thursday......................................... 6:00 – 7:00 (A204)

 

 

 

REGISTRATION:

 

Ψ      You must register for this class.

Ψ      The last day to drop the class with no record is Friday, April 29.

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

Ψ      After June 3, 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.

 

 

 

 

 

OVER

TUTORING:                          Tutoring is available in the Gateway Math Center in Room G4.  the phone number is 541-4660 extension741.  Tutoring hours are M- Th 9:00 – 6:00, Fri 9:00 – 5:00,  Sat 10:00 – 4:00.

 

 

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.
                                                                       

 

                               

Let there be no activity 
without achievement
 

 

 


 


SCHEDULE

 

  Date          Section                            Topic

 

April 4.............                              Introductions, Discussion of Syllabus

10.3                                           Quadratic Functions and Their Graphs

April 6........ 10.4                      More About Quadratic Equations

April 10...... 10.5                      Quadratic and Rational Inequalities

                                                            Turn in Homework #1 (Section 10.3)           

                                                                                                                                               

 

April 11...........                              Finish Chapter 10 (Handout)

April 13...... 11.1                      Graphs of Functions & Relations 

April 15...... 11.2                      Transformations of Graphs

                                                Quiz #1 (Sections 10.3 – 10.5)

                                                Turn in Homework #2 (Sections 10.4 & 10.5)

                                                                                                                                               

 

April 18...... 11.3                      Combining Functions

April 20...... 11.4                      Inverse Functions

April 22...... 11.4                      Inverse Functions (con’t)

                                                            Turn in Homework #3 (Sections 11.1, 11.2 & 11.3)

                                                            Paper for Math 185 is Due

                                                                                                                                               

 

April 25                                    Review for Exam #1

April 27                                    Exam #1 (Sections 10.3 -10.5 & 11.1 – 11.4)

April 29...... 12.1                      Exponential Functions & Their Applications

                                                            Turn in Homework #4 (Section 11.4)                       

                                                                                                                                               

 

May 2......... 12.2                      Logarithmic Functions & Their Applications

May 4......... 12.3                      Properties of Logarithms

May 6......... 12.4                      Solving Equations & Applications

                                                            Turn in Homework #5 (Sections 12.1 & 12.2)         

                                                                                                                                               

 

May 9.............                              Summary of Exponential & Logarithmic Equations

May 11....... 8.3                        Solving Linear Equations in Three Variables

May 13....... 13.3                      The Circle

                                                            Quiz #2 (Sections 12.1 – 12.4)

                                                            Turn in Homework #6 (Sections 12.3 & 12.4)

                                                                                                                                               

 

 

 

OVER

Schedule (continued)

 

Date            Section                            Topic

 

May 16...........      13.2                 The Parabola

May 18                                    Review for Exam #2

May 20                                    Exam #2 (Sections 12.1 – 12.4, 8.3, 13.2, 13.3)

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

                                                                                                                                               

 

May 23....... 13.4                      The Ellipse and The Hyperbola

May 25....... 13.5                      Second-Degree Inequalities

May 27....... 13.1                      Nonlinear Systems of Equations

                                                                                                                                               

May 30...........                              MEMORIAL DAY HOLIDAY

June 1......... 14.1                      Sequences

June 3......... 14.2                      Series

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

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

                                                                                                                                               

 

June 6......... 14.3                      Arithmetic Sequences and Series

June 8......... 14.4                      Geometric Sequences and Series

June 10....... 14.5                      Binomial Theorem

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

                                                                                                                                               

 

June 13                                    Review for Exam #3

June 15                                    Exam #3 (Sections 13.1, 13.4, 13.5 & 14.1 – 14.5)

                                                            Turn in Homework #10 (Sections 14.4 & 14.5)

June 17                                    Review for Final Exam

                                                                                                                                               

 

June 20                                    Cumulative Final Exam (10:00 – 11:50)



MATH 154 ASSIGNMENTS

 

TEXT: "Elementary and Intermediate Algebra” 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 549 – 552 #1-7, 11-35 every other odd, 39, 41

                                                                        .............................................................................                         #10, 16, 24, 32, 40

      10.4.......................................................... Pages 559 & 560 #1-4, 5-29 every other odd,

                                                                        .............................................................................                         31, 39 – 45 odd, 53, 55    #10, 24, 34, 56

      10.5.......................................................... Pages 569 – 571 #1, 3, 4, 5-29 every other odd,         

                                                                        .............................................................................                                     43, 45, 49, 61     #12, 22, 44

 

      11.1.......................................................... Pages 588 – 590 #1-6, 7, 11, 15-39 odd

                                                                        .............................................................................                         #20, 32, 38

      11.2.......................................................... Pages 597 – 600 #1-6, 7-51 every other odd

                                                                        .............................................................................                         #40, 44, 52

      11.3.......................................................... Pages 607 & 608 #1-4, 5-61 every other odd, 69

                                                                        .............................................................................                         #22, 44, 50

11.4.......................................................... Pages 617 - 619 #1-8, 9-23 odd, 31-67 every other odd

                                                                        .............................................................................                         #34, 50, 58

 

 

      12.1.......................................................... Pages 654- 656 #1-6, 7-27 every other odd, 29, 35, 37,

            ................................................................. 45-69 every other odd, 71, 75, 77    #30, 50, 72

      12.2.......................................................... Pages 662 & 663 #1-6, 7-17 odd, 19-43 every other odd,

                                                                        .............................................................................                         45-69 odd, 77, 79     #10, 16, 28, 48, 78

12.3.......................................................... Pages 670 & 671 #1-6, 7-79 every other odd, 81, 85, 87

                                                                        .............................................................................                         #28, 56, 66

      12.4.......................................................... Pages 677 – 679 #1, 2, 3-29 odd, 31, 33, 37, 39,45, 47,

                                                                        .............................................................................                         59, 61, 63     #12, 28, 60

 

 

 

OVER

 

SECTION                                                       PROBLEMS

 

      8.3............................................................ Pages 416 & 417 #1-7, 11, 13, 15, 17, 21, 31, 33

                                                                        .............................................................................                         #8, 18, 32

 

      13.2.......................................................... Pages 703 – 705 #1-6, 7-13 odd, 25, 27, 33, 35, 45

                                                                        .............................................................................             Also sketch #25, 27, 33, 35, 45

                                                                        .............................................................................             #12, 28, 36 (Do not find focus or directrix)

                                                                        .............................................................................                         Also sketch #28 & 36

      13.3.......................................................... Pages 710 & 711 #1, 2, 3–27 every other odd, 31, 35,

                                                                        .............................................................................                         43, 45    #10, 26, 32

      13.4.......................................................... Pages 719 – 721 #1-8, 9-19 odd. 29-39 odd

                                                                        .............................................................................                         #18, 32, 38

      13.5.......................................................... Pages 727 – 729 #1, 5, 9, 15-23 odd, 31, 33, 35

                                                                        .............................................................................                         #10, 18, 36

      13.1.......................................................... Pages 695 - 697 #1-5, 9, 13-25 odd, 41

                                                                        .............................................................................                         #14, 22, 42

 

      14.1.......................................................... Pages 745 & 746 #1-4, 5–25 every other odd,

                                                                        .............................................................................                           27-35 odd, 39      #8, 22, 34

      14.2.......................................................... Pages 750 & 751 #1-4, 5–41 every other odd, 49

                                                                        .............................................................................                         #8, 18, 36

      14.3.......................................................... Pages 755 – 756 #1-4, 5-57 every other odd

                                                                        .............................................................................                         #12, 34, 46

      14.4.......................................................... Pages 764 & 765 #1-6, 7–51 every other odd, 57

                                                                        .............................................................................                         #14, 28, 34

      14.5.......................................................... Page 771 #1-4, 5, 9, 13, 15, 19, 21, 27, 29, 31

                                                                        .............................................................................                         #14, 20, 32