102 Syllabus for Fall 1995 by RKp3Ys

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									                         SINCLAIR COMMUNITY COLLEGE
                                DAYTON, OHIO

                   DEPARTMENT TEACHING SYLLABUS FOR COURSE IN

                      MAT 102 - INTERMEDIATE ALGEBRA
                             (5 CREDIT HOURS)


1.   PREREQUISITE:                   MAT 101 - Elementary Algebra or
                                     sufficient score on Sinclair Community
                                     College Mathematics Placement Test.

2.   COURSE DESCRIPTION:             Sets, real numbers, polynomials,
                                     algebraic fractions, first-degree
                                     equations and inequalities in one
                                     variable, radical expressions, complex
                                     numbers, quadratic equations and
                                     inequalities in one variable, graphs in
                                     the plane, systems of linear equations,
                                     relations and functions.

3.   COURSE OBJECTIVES:              This course is designed to review and
                                     expand the concepts of elementary
                                     algebra and to introduce further topics
                                     that the student will need to continue
                                     the study of mathematics. At the
                                     completion of this course, the student
                                     will be eligible to enroll in MAT 116 -
                                     College Algebra.

4.   TEXT:            Beginning and Intermediate Algebra, Fourth Edition
                      by Margaret L. Lial, John Hornsby, and Terry
                      McGinnis
                      Pearson/Addison Wesley Publishing; 2008.

5.   CALCULATOR:      Calculators are permitted in 102, but graphing
                      calculators are not required. Use of calculators
                      on chapter tests is at the option of the
                      instructor. Scientific (but not graphing)
                      calculators will be permitted on the departmental
                      final exam.

6.   EXAMS:           All exams are to be closed book.
                      No formula sheets allowed on exams.


7.   PREPARED BY:     Harvey Chew and Jim Willis
     DATE:            Effective: Winter Quarter 2009
                      SINCLAIR COMMUNITY COLLEGE
                             DAYTON, OHIO

                     CLASS SCHEDULE FOR COURSE IN

                    MAT 102 - INTERMEDIATE ALGEBRA
                           (5 CREDIT HOURS)

                 SECTIONS THAT MEET FIVE TIMES A WEEK

WK   DAY       SECTIONS AND TOPICS OF TEXT

      M       ***    Introduction, Diagnostic Test
      T       5.4    Special Factoring Techniques
1     W       5.4    Summary Exercises on Factoring (p358)
      R       6.2    Multiplying and Dividing Rational Expressions
      F       6.4    Adding and Subtracting Rational Expressions

      M       6.5    Complex Fractions
      T       6.6    Solving Equations with Rational Expressions
2     W       6.7    Applications of Rational Expressions
      R       2.6    Ratios and Proportions
      F       7.1    Review of Graphs and Slopes of Lines*

      M       7.2    Review of Equations of Lines; Linear Models*
      T       7.2    Review of Equations of Lines; Linear Models*
3     W              REVIEW
      R              TEST ONE (over 5.4, 6.2, 6.4-6.7, 2.6, 7.1, 7.2)
      F       7.3    Functions

      M       7.3    Functions
      T       8.1    Solving Systems of Linear Equations by Graphing
4     W       8.2    Solving Systems of Linear Equations by
                     Substitution
      R       8.3    Solving Systems of Linear Equations by
                     Elimination
      F       8.4    Systems of Linear Equations in Three Variables

      M       8.5    Applications of Systems of Linear Equations
      T       8.5    Applications of Systems of Linear Equations
5     W       9.1    Set Operations and Compound Inequalities
      R       9.1    Set Operations and Compound Inequalities
      F       9.2    Absolute Value Equations and Inequalities

      M       9.2    Absolute Value Equations and Inequalities
      T              REVIEW
6     W              TEST TWO (over 7.3, 8.1-8.5, 9.1, 9.2)
      R      10.1    Radical Expressions and Graphs
      F      10.2    Rational Exponents


*The Instructor is advised to treat this section as a “New” rather
than a “Review” section


Note: The Instructor is advised to take full advantage of the “Summary
      Exercises” included in certain sections.
MAT 102 - INTERMEDIATE ALGEBRA
SECTIONS THAT MEET FIVE TIMES A WEEK


WK   DAY     SECTIONS AND TOPICS OF TEXT

      M      10.3    Simplifying Radical Expressions
      T      10.3    Simplifying Radical Expressions
7     W      10.3    Simplifying Radical Expressions
      R      10.4    Adding and Subtracting Radical Expressions
      F      10.5    Multiplying and Dividing Radical Expressions

      M      10.5    Multiplying and Dividing Radical Expressions
                     Summary Exercises (p676)
      T      10.6    Solving Equations with Radicals
8     W      10.7    Complex Numbers
      R              REVIEW
      F              TEST THREE (over 10.1-10.7)

      M      11.1    Solving Quadratic Equations by the Square Root
                     Property
      T      11.2    Solving Quadratic Equations by Completing the
                     Square
9     W      11.3    Solving Quadratic Equations by the Quadratic
                     Formula
      R      11.4    Equations Quadratic in Form
      F      11.5    Formulas and Further Applications

      M      11.6    Graphs of Quadratic Functions
      T      11.7    More about Parabolas and their Applications
10    W      11.7    More about Parabolas and their Applications
      R      11.8    Quadratic and Rational Inequalities
      F              REVIEW

      M              TEST FOUR (over 11.1-11.8)
      T              REVIEW
11    W              REVIEW
      R              FINAL EXAM (Comprehensive)


IMPORTANT NOTE:

The final exam will be in two parts. One part will be prepared by the
department in the Fall, Winter, and Spring quarters. It will be a 20
question, 40 minute, multiple choice test. It will be sent to the
instructor in the mail. Another part is to be prepared by the
instructor. It may be of any format, but should be 15 minutes long.
The instructor should count the departmental part for 80% of the final
exam score and the other part for 20%. The final exam score should
count for about 20% of the final course grade. The instructor will be
asked to report the scores on the departmental part and the final
course grades back to the department.
                     CLASS SCHEDULE FOR COURSE IN

                    MAT 102 - INTERMEDIATE ALGEBRA
                           (5 CREDIT HOURS)

                    SECTIONS THAT MEET TWICE A WEEK


WK    DAY      SECTIONS AND TOPICS OF TEXT

1     M/T     ***     Introduction, Diagnostic Test
              5.4     Special Factoring Rules
              5.4     Summary Exercises on Factoring (p358)
              6.2     Multiplying and Dividing Rational Expressions
      W/R     6.4     Adding and Subtracting Rational Expressions
              6.5     Complex Fractions
              6.6     Solving Equations with Rational Expressions

2     M/T     6.7     Applications of Rational Expressions
              2.6     Ratios and Proportions

      W/R     7.1     Review of Graphs and Slopes of Lines*
              7.2     Review of Equations of Lines; Linear Models*

3     M/T     7.2     Review of Equations of Lines; Linear Models*
                      REVIEW
      W/R             TEST ONE (over 5.4, 6.2, 6.4-6.7, 2.6, 7.1, 7.2)
              7.3     Functions

4     M/T     8.1     Solving Systems of Linear Equations by Graphing
              8.2     Solving Systems of Linear Equations by
                      Substitution
      W/R     8.3     Solving Systems of Linear Equations by
                      Elimination
              8.4     Systems of Linear Equations in Three Variables

5     M/T     8.5     Applications of Systems of Linear Equations
              9.1     Set Operations and Compound Inequalities
      W/R     9.2     Absolute Value Equations and Inequalities
                      REVIEW


*The Instructor is advised to treat this section as a “New” rather
than a “Review” section


Note: The Instructor is advised to take full advantage of the “Summary
      Exercises” included in certain sections.
MAT 102 - INTERMEDIATE ALGEBRA
SECTIONS THAT MEET TWICE A WEEK - CON'T

WK      DAY    SECTIONS AND TOPICS OF TEXT
6       M/T             TEST TWO (over 7.3, 8.1-8.5, 9.1,9.2)
                10.1    Radical Expressions and Graphs
        W/R     10.2    Rational Exponents
                10.3    Simplifying Radical Expressions

7       M/T     10.4    Adding and Subtracting Radical Expressions
                10.5    Multiplying and Dividing Radical Expressions
        W/R     10.5    Multiplying and Dividing Radical Expressions
                10.6    Solving Equations with Radicals

8       M/T     10.7    Complex Numbers
                        REVIEW
        W/R             TEST THREE (over 10.1-10.7)
                11.1    Solving Quadratic Equations by the Square Root
                        Property
                11.2    Solving Quadratic Equations by Completing the
                        Square

9       M/T     11.3    Solving Quadratic Equations by the Quadratic
                        Formula
                11.4    Equations Quadratic in Form
        W/R     11.5    Formulas and Further Applications
                11.6    Graphs of Quadratic Functions

10      M/T     11.7    More about Parabolas and their Applications
                11.8    Quadratic and Rational Inequalities
        W/R             REVIEW, TEST FOUR (over 11.1-11.8)

11      M/T             REVIEW, FINAL EXAM (Comprehensive)


IMPORTANT NOTES:

      The syllabus for the “twice a week section” provided above is
        based on twenty-one meetings or classes. Twenty-one is the
        minimum number of class meetings during a quarter when a holiday
        occurs on a class day. The instructor is advised to find out
        ahead whether the number of classes to be taught is twenty-two
        rather than twenty-one. If so, the instructor is advised to make
        any necessary adjustments to the syllabus above in order to take
        advantage of the additional class meeting.

      The final exam will be in two parts. One part will be prepared by
        the department in the Fall, Winter, and Spring quarters. It will
        be a 20 question, 40 minute, multiple choice test. It will be
        sent to the instructor in the mail. Another part is to be
        prepared by the instructor. It may be of any format, but should
        be 15 minutes long. The instructor should count the departmental
        part for 80% of the final exam score and the other part for 20%.
        The final exam score should count for about 20% of the final
        course grade. The instructor will be asked to report the scores
        on the departmental part and the final course grades back to the
        department.
TO THE INSTRUCTOR


To ensure consistency, at some minimum level, regarding which formulas
students are required to learn in each of its courses, the Mathematics
Department has developed the attached list for this course.


PREREQUISITE FORMULAS are formulas of special importance that
students are expected to know upon entering this course. (If PREREQUISITE
FORMULAS are not listed, separate COURSE FORMULA lists for
prerequisite courses are available in the Mathematics Department Office.)


COURSE FORMULAS are those that students are required to learn (and
required to demonstrate that they have learned) as the formulas are presented
in the course. Requiring students to learn more than those listed is the
instructor’s option.


Please note that only formulas are listed. Students are also expected to learn
definitions, theorems and procedures that will allow them to meet course
objectives. If you have questions regarding this matter, please contact your
course coordinator.
                                Math 102 Formulas
Prerequisite Formulas
  Formulas of special importance that students are expected to know upon entering this
  course:
- Geometric Formulas             Area                   Perimeter

              Square                A  s2               P  4s
            Rectangle               A  lw               P  2l  2w
                                        1
             Triangle               A  (bh)             P  a bc
                                        2
- Sum of the Angles in a Triangle       A  B  C  180
- Square of a Binomial:                (x + y)2 = x2 + 2xy + y2
                                       (x – y)2 = x2 – 2xy + y2
- Pythagorean Theorem                  a2 + b2 = c2
                                               x     if x  0
- Absolute Value of x                   | x| 
                                               x    if x  0

Course Formulas
  Formulas that students are required to memorize in this course:

Chapter 5
- Difference of Squares                          x2 – y2 = (x + y)(x – y)
- Sums and Differences of Cubes                  x3 + y3 = (x + y)(x2 – xy + y2)
                                                 x3 – y3 = (x – y)(x2 + xy + y2)
Chapter 6

- Multiplying and Dividing Rational Expressions
 P R PR                                 P R P S PS
             (Q  0, S  0)                                 (Q  0, R  0, S  0)
 Q S QS                                 Q S Q R QR

- Adding and Subtracting Rational Expressions
 P R PR                                P R PR
                 (Q  0)                              (Q  0)
 Q Q  Q                                 Q Q  Q

- Distance, Rate, Time                  d rt , r  d / t , t  d / r
- Rate of Work
                                                                           1
  If a job can be completed in t units of time, then the rate of work is     job per unit of
                                                                           t
  time.

Chapter 7
                                              rise change in y y 2  y1
- Slope of a Line                        m                              x1  x 2 
                                              run change in x x 2  x1

- Forms of Linear Equations
      Point-slope form                   y  y1  m( x  x1 )
      Slope-intercept form               y  mx  b
      General form                       Ax  By  C
      Horizontal line                    yb
      Vertical line                      xa
                                          x1  x 2 y1  y 2 
- Midpoint Formula                                ,         
                                          2           2 


Chapter 9
- Absolute Value Equations and Inequalities
      If k, p, and q are real numbers with k  0, then
      | ax + b | = k  ax + b = k or ax + b = - k
      | ax + b |  k  ax + b  k or ax + b  - k
      | ax + b |  k  - k  ax + b  k
      | ax + b | = | cx + d |  ax + b = cx + d or ax + b = -(cx + d)

Chapter 10

- Principal Square Root of a 2               a2  a
      If n is an even positive integer   n
                                             an  a

      If n is an odd positive integer    n
                                             an  a
- Fractional Exponents                  1
                                    a n a
                                        n

                                                              m
                                         1
                                                                                           a
                                        m                                    1
                                    a  a n   am
                                                                                                  m
                                        n
                                         
                                                                             n    n am      n

                                         
                                            m
                                                    1
                                    a       n
                                                        m
                                                                  (a  0)
                                                         n
                                                     a

- Laws of Radicals                          n
                                                 a n b  n ab
                                            n
                                                 a n a
                                            n
                                                   
                                                 b   b
                                            kn
                                                 a km  n a m

- Distance Formula                          d  ( x 2  x1 ) 2  ( y 2  y1 ) 2

- Imaginary Unit                            i                1       (i 2   1)

                                                 b  i b

Chapter 11
- Square Root Property                      x2 = k             x= k               or x =  k
- Quadratic Formula
                                               b  b 2  4ac
      If ax  bx  c  0, then
             2
                                            x                                      (a  0)
                                                    2a
- Forms of Quadratic Functions

      General Form                          f x   ax 2  bx  c
                                            F  x   a  x  h   k , vertex (h, k)
                                                                        2
      Standard Form
                                                         b
- Line of Symmetry for a Parabola               x                 (a  0)
                                                         2a
                                                  b   b 
- Vertex Formula                                
                                                 2a , f  2a  
                                                                           (a  0)
                                                            
                                       Important!



                 Many instructors have seen improved student performance from
incorporating Math Lab assignments into their course structure. These could be given as
required assignments, optional assignments, or extra credit assignments. You can create
your own Math Lab assignments or you can use the ones created by the Math Lab that
are attached to this syllabus. There is one assignment for each test. Each assignment
represents at least 2 to 3 hours of Lab work. Please contact the Math Lab (room: 1315;
phone: 512-2286) with any questions.
MATH LAB                               NAME___________________
ROOM 1315

                            LAB ASSIGNMENT 0


READ THESE DIRECTIONS! Show this paper to the Lab Assistant when you sign
in. Have the Lab Assistant initial and stamp this paper when you sign out.


You must watch BOTH of these videos. These tapes will help you do better on your
exams! It is highly recommended that you watch the first tape before your first exam
and the second tape as soon after your first exam as possible. Bring your graded exam
with you when you watch the second tape.


                                                        Lab Initials and Stamp


VDC Heath “Preparation and Test Taking Skills”          ___________________
    (about 40 min)


VDC Heath “Analyzing Results and Improving Performance”
    (about 20 min)                                 ___________________
MATH LAB                                                 NAME___________________
ROOM 1315

                                LAB ASSIGNMENT 1 (MATH 102)

                                    Go to: www.interactmath.com

READ THESE DIRECTIONS! Show this paper to the Lab Assistant when you sign in. Have the Lab
Assistant initial and stamp this paper when you sign out. Show your work neatly on a separate sheet of
paper. You do NOT have to complete this in one session. WHEN you have completed all materials,
staple your work to the back of this sheet and turn in to your instructor.


Lab Initials and Stamp

InterAct Chapter 5 Section 4 “Special Factoring Rules”
   Exercises 19,25,43,45,59,61,71,77                            ____________________

InterAct Chapter 6 Section 2 “Multiplying and Dividing Rational Expressions”
   Exercises 17,29,41,47,55,61
                                                             ____________________

InterAct Chapter 6 Section 4 “Adding and Subtracting Rational Expressions”
   Exercises 35,65,67,69
                                                              ____________________

InterAct Chapter 6 Section 5 “Complex Fractions”
   Exercises 11,23,33,35                                        ____________________

InterAct Chapter 6 Section 6 “Solving Equations with Rational Expressions”
   Exercises 17,31,47,49,83
                                                              ____________________

InterAct Chapter 6 Section 7 “Applications of Rational Expressions”
   Exercises 3,21,33,39                                        ____________________

InterAct Chapter 2 Section 6 “Ratios and Proportions”
   Exercises 39,63,65                                           ____________________

InterAct Chapter 7 Section 1 “Review of Graphs and Slopes of Lines”
   Exercises 7,49,57,59,69,73,83,91,97,99                    ____________________

InterAct Chapter 7 Section 2 “Review of Equations of Lines; Linear Models”
   Exercises 5,21,25,45,49,51,63,67,75
                                                              ____________________
MATH LAB                                               NAME___________________
ROOM 1315

                                LAB ASSIGNMENT 2 (MATH 102)

                                    Go to: www.interactmath.com

READ THESE DIRECTIONS! Show this paper to the Lab Assistant when you sign in. Have the Lab
Assistant initial and stamp this paper when you sign out. Show your work neatly on a separate sheet of
paper. You do NOT have to complete this in one session. WHEN you have completed all materials,
staple your work to the back of this sheet and turn in to your instructor.



Lab Initials and Stamp

InterAct Chapter 7 Section 3 “Functions”
   Exercises 5,11,13,25,33,41,53,69                             ____________________

InterAct Chapter 8 Section 1 “Solving Systems of Linear Equations by Graphing”
   Exercises 33,35,37
                                                               ____________________

InterAct Chapter 8 Section 2 “Solving Systems of Linear Equations by Substitution”
   Exercises 3,7,13,17,19
                                                              ____________________

InterAct Chapter 8 Section 3 “Solving Systems of Linear Equations by Elimination”
   Exercises 9,13,19,31,35,37
                                                              ____________________

InterAct Chapter 8 Section 4 “Systems of Linear Equations in Three Variables”
   Exercises 3,17,25,29
                                                               ____________________

InterAct Chapter 8 Section 5 “Applications of Systems of Linear Equations”
   Exercises 23,33,39
                                                              ____________________

InterAct Chapter 9 Section 1 “Set Operations and Compound Inequalities”
   Exercises 7,13,17,22,31,43,47,55,57
                                                           ____________________

InterAct Chapter 9 Section 2 “Absolute Value Equations and Inequalities”
   Exercises 27,31,41,45,65,77,81,93
                                                            ____________________
MATH LAB                                               NAME___________________
ROOM 1315

                                LAB ASSIGNMENT 3 (MATH 102)

                                    Go to: www.interactmath.com

READ THESE DIRECTIONS! Show this paper to the Lab Assistant when you sign in. Have the Lab
Assistant initial and stamp this paper when you sign out. Show your work neatly on a separate sheet of
paper. You do NOT have to complete this in one session. WHEN you have completed all materials,
staple your work to the back of this sheet and turn in to your instructor.



Lab Initials and Stamp


InterAct Chapter 10 Section 1 “Radical Expressions and Graphs”
   Exercises 13,21,25,41,47,69,73,77,105,107,111             ____________________

InterAct Chapter 10 Section 2 “Rational Exponents”
   Exercises 3,5,13,31,35,79,83                                ____________________

InterAct Chapter 10 Section 3 “Simplifying Radical Expressions”
   Exercises 15,35,39,41,49,61,71,79,91,99,107                ____________________

InterAct Chapter 10 Section 4 “Adding and Subtracting Radical Expressions”
   Exercises 7,9,21,33
                                                             ____________________

InterAct Chapter 10 Section 5 “Multiplying and Dividing Radical Expressions”
   Exercises 9,11,23,43,49,63,69,75,103
                                                              ____________________

InterAct Chapter 10 Section 6 “Solving Equations with Radicals”
   Exercises 9,17,27,47,49,55,65                              ____________________

InterAct Chapter 10 Section 7 “Complex Numbers”
   Exercises 1,3,9,17,23,31,45,47,53,61,73                      ____________________
MATH LAB                                               NAME___________________
ROOM 1315

                                LAB ASSIGNMENT 4 (MATH 102)

                                    Go to: www.interactmath.com

READ THESE DIRECTIONS! Show this paper to the Lab Assistant when you sign in. Have the Lab
Assistant initial and stamp this paper when you sign out. Show your work neatly on a separate sheet of
paper. You do NOT have to complete this in one session. WHEN you have completed all materials,
staple your work to the back of this sheet and turn in to your instructor.



Lab Initials and Stamp


InterAct Chapter 11 Section 1 “Solving Quadratic Equations (Square Root Property)”
   Exercises 9,21,25,37,57,65
                                                             ____________________

InterAct Chapter 11 Section 2 “Solving Quadratic Equations (Completing the Square)”
   Exercises 21,41,49
                                                             ____________________

InterAct Chapter 11 Section 3 “Solving Quadratic Equations (Quadratic Formula)”
   Exercises 7,11,29,39,41,45
                                                              ____________________

InterAct Chapter 11 Section 4 “Equations Quadratic in Form”
   Exercises 15,33,49,61,69,75                                  ____________________

InterAct Chapter 11 Section 5 “Formulas and Further Applications”
   Exercises 5,9,19,33,37,49                                  ____________________

InterAct Chapter 11 Section 6 “Graphs of Quadratic Equations”
   Exercises 1,5,9,13,25,29,33                                ____________________

InterAct Chapter 11 Section 7 “More About Parabolas; Applications”
   Exercises 5,7,13,23,35                                     ____________________

InterAct Chapter 11 Section 8 “Quadratic and Rational Inequalities”
   Exercises 7,13,21,29,37                                      ____________________

								
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