# 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
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

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

7     W      10.3    Simplifying 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
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)
W/R     10.2    Rational Exponents

10.5    Multiplying and Dividing Radical Expressions
W/R     10.5    Multiplying and Dividing Radical Expressions

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

Formula
W/R     11.5    Formulas and Further Applications

10      M/T     11.7    More about Parabolas and their Applications
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

 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
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
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

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
b  b 2  4ac
If ax  bx  c  0, then
2
x                                      (a  0)
2a

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
with you when you watch the second tape.

Lab Initials and Stamp

VDC Heath “Preparation and Test Taking Skills”          ___________________

VDC Heath “Analyzing Results and Improving Performance”
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                ____________________

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
____________________

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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