MATH 1710
Precalculus I
MWF . . . . . 9:05 – 10:00 am . . . . . Warf 103 . . . . . FALL / 2005
http://
vswebct.volstate.edu
Mr. Ondis Bible
Associate Professor of Mathematics
http://www2.volstate.edu/OBible
DESCRIPTION:
Designed as a course for students who plan to major in mathematics and/or
science and are not prepared to take calculus. Topics include polynomials,
factoring, fractions, radical expressions, rational exponents, complex numbers,
linear and quadratic equations and their applications, polynomial and rational
functions, exponential and logarithmic functions, systems of equations,
determinants, and the binomial theorem. PREREQUISITES: Two years of high
school algebra and an acceptable placement score or DSPM 0850 with a grade
of B or better or MATH 1130 or MATH 160*; and high school geometry or MATH
0990 (applies to students under 1989 Admissions Requirements).
TEXTBOOK:
Algebra and Trigonometry with Analytic Geometry (11th Ed.), Swokowski and
Cole. Optional Supplementary Text: Student's Solutions Manual, Cole. Copies
of this book and supplement are available for purchase in the VSCC Bookstore
or online at http://www.bkstr.com/ .
INSTRUCTOR:
Ondis Bible, Associate Professor of Mathematics, Office Warf-100H, Phone
(615) 741-3215 or (615) 452-8600 or (888) 335-8722, ext. 3386, FAX (615) 2303292, Email ondis.bible@volstate.edu Address: VSCC, 1480 Nashville Pike,
Gallatin, TN 37066-3188
OFFICE HOURS:
Posted beside office door (Warf-100H) and on the Internet. Go to
http://www2.volstate.edu/OBible and click on [Office Hours].
GENERAL
EDUCATION
GOAL
The general education goal of this course is to expose students to systems of
mathematical logic.
2
GENERAL
EDUCATION
OUTCOMES
As a result of successfully completing this course, students will have
demonstrated an acceptable level of mastery of the basic concepts and
principles of college algebra and an understanding of mathematical logic
necessary to apply these concepts and principles to problem solving.
Acceptable mastery of the course contents will indicate a college algebra
background necessary to pursue further cousework in mathematics and other
areas in which Pre-Calculus I is a prerequisite.
OTHER
GOALS
This course also serves to develop effective communication skills, particularly in
reading and understanding directions.
OUTCOME
STATEMENTS
Upon completion of this course the student will have demonstrated an
acceptable ability to:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
Understand the language and notation of algebra.
Identify and describe sets of numbers.
Add, subtract, multiply, and divide polynomials.
Factor polynomials.
Perform algebraic operations involving fractions.
Apply the properties of exponents.
Simplify radical expressions.
Simplify complex fractions.
Solve linear, fractional, and literal equations.
Work applications involving first-degree equations.
Solve quadratic equations by factoring, by completing the square, and by using the quadratic
formula.
Solve radical equations.
Solve first-degree inequalities.
Solve equations and inequalities involving absolute values.
Solve quadratic, polynomial, and rational inequalities.
Locate points on the Cartesian coordinate system and find the distance between two points in
the plane.
Write the equation of a straight line and the equation of a circle, and sketch their graphs.
Define and determine the values of functions.
Discuss geometric properties of graphs.
Determine the sum, difference, product, quotient, and composition of functions.
Sketch parabolas; that is, the graphs of quadratic functions.
Divide polynomials by the long division procedure and by synthetic division.
Evaluate polynomials and find the zeros of polynomials by using synthetic division.
Sketch the graphs of rational functions.
Sketch the graphs of greatest integer functions and piece-wise-defined functions.
Find the Domain and Range of rational functions.
Work problems involving ratio, proportion, and variation.
Evaluate and graph exponential functions and solve exponential equations.
Work with logarithms, in particular common and natural logarithms, and apply their properties.
Solve systems of linear equations by substitution and by elimination.
Expand determinants and use Cramer's rule to solve systems of linear equations.
Solve systems of non-linear equations by substitution and elimination methods.
Perform algebraic operations with complex numbers.
Use the binomial theorem to expand binomials.
3
TOPICAL OUTLINE
Fundamentals
The Real Numbers
Polynomials and Rational Expressions
Radicals and Rational Exponents
Complex Numbers
Solutions of Equations with Real Coefficients
Nonlinear Inequalities in One Real Variable
Algebraic Skills for the Calculus
Functions and Graphs
Functions and Relations
The Algebra of Functions
Linear Functions
Quadratic Functions
Symmetry and Translations
Graphs of Rational Functions
The Parabola
Theory and Polynomials
The Factor and Remainder Theorems
Exponential and Logarithmic Functions
Exponential Functions
The Natural Exponential Function
Logarithmic Functions
Logarithmic Equations, Exponential Equations, and Natural Logarithms
Quadratic Functions
Systems of Equations and Inequalities
Systems of Equations
Partial Fractions
The Definition of a Determinant
Evaluation of Determinants
Cramer's Rule
Systems of Inequalities
Further Topics in Algebra
Sequences and Series
Arithmetic Sequences
Geometric Sequences
The Binomial Theorem
4
ASSESSMENT: The degree to which the general education goal of this course is achieved will be
determined by the cumulative assessment of the course outcomes. Further assessment of the
achievement of this goal and of the instructor will be provided by means of a student questionnaire.
The degree to which skills in effective communication have been developed can only be assessed to
a limited extent. However, poor skills in reading and understanding directions will result in lower
grades on examinations.
Outcome statements will be assessed by homework assignments, short quizzes, major tests, and a
comprehensive final examination.
ADA STATEMENT: For students with disabilities:
It is the student’s responsibility to self-identify with the Office of Disability Services to receive
accommodations and services in accordance with The Americans With Disabilities Act. (ADA) Only
those students with appropriate documentation will receive services. For further information, contact
the Office of Disability Services at x3472 or visit the office which is located on the ground floor of the
Wood Campus Center.
EQUAL OPPORTUNITY STATEMENT: Volunteer State Community College is an equal opportunity
Affirmative Action Educational Institution. No person shall be excluded from participation in, be
denied the benefit of, or be subjected to discrimination under any program or activity of the College
because of race, color, national origin, age, or handicap. The college also complies with the Age
Discrimination in Employment Act of 1967, as amended and with the Vietnam Era Veterans'
Readjustment Act of 1974. The commitment to equal opportunity applies to all aspects of
recruitment, employment and education of individuals at all levels throughout the College.
5
COURSE POLICIES AND PROCEDURES
WEB-ENHANCED FORMAT: Some components of the course (e.g. Quizzes) may be administered
online. You may use any computer that has Internet access --- at your home, workplace, or one of
the VSCC computer labs. Go to http://vswebct.volstate.edu to enter the course. Your Student ID
and Password for WebCT are the same as they are for VSCC Student Email. If you need this
information, you can look it up at http://www.volstate.edu/studentemail/lookup/lookup/lookup.asp .
ATTENDANCE: Prompt and regular attendance is expected. Attendance will be recorded for each
class meeting. Absences in excess of five could result in the student being administratively
withdrawn from the course by the instructor. (See the VSCC Catalog.) Students on financial aid are
reminded that not attending class may result in the requirement that grant money be repaid.
TARDINESS is defined as entering the room after the official starting time for the class. Two
instances of tardiness will count as one absence. It is the responsibility of a student who is tardy, at
the end of the class, to ask the instructor to modify the attendance record. Tardiness is considered
an avoidable class disruption; persistent tardiness will not be tolerated. Any student who already
has two instances of tardiness must get to class on time --- or face the possibility that your
grade will be adversely affected (unless you are late due to an unexpected emergency that can
be documented).
LEAVING CLASS EARLY (before dismissal by the instructor) is permitted in emergency situations.
In non-emergency cases, such as a doctor’s appointment, the student should notify the instructor at
the beginning of class that he/she will be leaving early and should sit close to the door in order to
minimize disruption to the class.
The INCLEMENT WEATHER POLICY for this class is as follows: If VSCC is officially open, this
class will meet as scheduled, all assignments will be due, and any scheduled tests or quizzes will be
given. If VSCC is officially closed, all assignments or tests scheduled for that day are automatically
rescheduled for the next regular class meeting.
CALCULATORS: A scientific calculator is required. A graphing calculator is permitted, but not
necessary. Sharing a calculator between students is not permitted on tests or quizzes. Hand-held
computers and programmable computer-like calculators (like the TI-89 or TI-92) are not permitted on
tests or quizzes.
6
HOMEWORK: Assigned homework must be completed (in pencil, not ink, except homework to be
faxed) before coming to class. Textbook pages and sections must be properly labeled, and problems
must be correctly numbered with answers highlighted, boxed, circled, or underlined. Work must be
shown where work is necessary. In most cases, no credit will be given for answers without the
proper steps shown. At the top of the first page must also be written (as a fraction) the number of
problems completed over the number of problems assigned in that lesson. Inaccurate reporting of
this homework grade may be penalized. Randomly selected problems will be graded.
Each student is allowed a maximum of three late assignments without direct penalty. After three, late
homework (not handed in when instructed) will receive half credit, provided it is turned in within one
week after the due date. A homework assignment handed in late due to an absence is still
considered late. Homework may be handed in early when an absence is expected. Any student
who has not completed the assigned homework before a scheduled quiz or test will be at a
distinct disadvantage, and will be graded more harshly.
Warning: Doing the assigned homework is absolutely essential for students to learn the skills
necessary to successfully complete this course. Any student who does not successfully
complete at least 70% of the relevant homework is not eligible for any Extra Credit and/or
Grading Curve that might otherwise be available on quizzes or tests.
QUIZZES: Several short, announced quizzes will be given and will be included in the final average.
A score of zero will be assigned for each missed quiz. Each student's lowest quiz grade will be
dropped. Make-up quizzes will be given at the discretion of the instructor. On Take-Home quizzes,
you may use your book, notes, etc., but getting help from another person is not permitted.
TESTS: There will be four major tests (non-cumulative) and a comprehensive final exam. Students
are required to be present for all scheduled tests. A student who must miss a test due to an
emergency should make every attempt to notify the instructor prior to the time of the test. Anyone
caught CHEATING on a test will receive a grade of zero and may face other punitive measures.
MAKE-UP TESTS will be given only when the student's absence is due to an unexpected emergency
and is explained by documentation from the appropriate authority (doctor, judge, etc.). Make-up
tests, if allowed, will be significantly harder than the regular test. A score of zero will be
assigned for the missed test if the absence is not excused by the instructor. Final Exams must be
taken at the scheduled time and will not be returned to the student. There will be no exemptions for
the Final Exam. Specifics of Extra Credit on the Final Exam will be announced after Test 4.
GRADES: The major test grades, the final exam grade, the quiz grades, and the homework grade
will be averaged to obtain the final numerical grade. These grades will count in the final average as
follows:
TESTS = 60%
EXAM = 15%
QUIZZES = 15%
H'WORK = 10%
Letter grades will be assigned according to the following intervals:
90.00
80.00
70.00
60.00
00.00
-
100 +
89.99
79.99
69.99
59.99
=
=
=
=
=
A
B
C
D
F
7
Favorable or unfavorable determination of borderline grades will be significantly influenced by
ATTENDANCE and HOMEWORK!
CLASS DISRUPTIONS: An affective mathematics learning environment will enhance (rather than
detract from) a student's (and instructor's) ability to concentrate. Therefore, it is the goal of this
instructor to provide all students with a relaxed, supportive classroom atmosphere free of
unnecessary distractions. Hence, any student who unnecessarily disrupts class (by way of persistent
tardiness, unauthorized talking, and the like) is subject to disciplinary action. Cell phones must be
turned off before coming to class.
TUTORIAL ASSISTANCE: Trained tutors are available in the Math Lab (Warf 125) or by calling
extension 3387. More information, such as Lab hours are posted on the Math Lab web site at
http://www.volstate.edu/MathScience/Lab/ . A student may get additional tutorial assistance from the
instructor during regular office hours in Warf 100H or by calling (615)741-3215 or (615)452-8600 or
1-888-335-8722, extension 3386. For online interaction with the instructor, use the email component
of WebCT at http://vswebct.volstate.edu .
8
HOMEWORK ASSIGNMENTS
MATH 1710 – Precalculus I
TEXTBOOK: Algebra and Trigonometry with Analytic Geometry (11th Ed.), Swokowski and Cole.
Optional Supplementary Text: Student's Solutions Manual, Cole.
Doing only the assigned homework may not constitute adequate practice for some students to learn
the required skills. Students should attempt additional problems (not to be handed in) until complete
mastery is attained.
To receive credit, homework, quizzes, tests, and the final examination must be neat, orderly, in
proper notation, written precisely, and must be written in pencil. (Any student work that is to be faxed
or scanned should be written in black, erasable ink.) All graphs must be done on graph paper (or
copy paper, if done and printed from a graphing utility).
Read your syllabus (before the second class meeting). Study the course policies in "Policies and
Procedures" and abide by them. Any questions or misunderstandings concerning these policies
should be cleared up as soon as possible.
In general, "Optional" problems will not be discussed in class. Questions pertaining to these
problems may be discussed during office hours. "G" indicates solution is to include a graph, to scale
on graph paper.
Problems are to be worked and handed in at the beginning of each class period (unless otherwise
instructed).
DUE DATE LESSON
SECTION
PAGE
PROBLEMS
COUNT
________ 1
1.1
16
11ab,13ab,15ac,17d,25,27,29,33,35,39
13
________________________________________________________________________________
________ 2
1.2
29
1,5,7,11,15,19,25,31,39,43
13
13,17,41
17
Optional: 48
________________________________________________________________________________
________ 3
1.1
16
15bd,17c,26,30
22
1.2
29
61,69,75,77,79,81,89
1.3
43
9,11,17,19,24,27,31,35,37,39
________________________________________________________________________________
________ 4
1.1
16
17ab,31
18
1.2
29
27,49,59,65,85,95
1.3
43
47,53,61,65,67,73,77,83,85
________________________________________________________________________________
________ 5
1.3
43
69,79,86,93,99
15
Quiz 1 (1.1 – 1.2)
1.4
54
7,11,13,17,21,27,29,31,33,37
________________________________________________________________________________
DUE DATE LESSON
SECTION
PAGE
PROBLEMS
9
COUNT
________ 6
1.3
43
55,62,87,94,101
15
1.4
54
23,28,32,35,39,49,65,71,79,80
________________________________________________________________________________
________ 7
1.4
Quiz 2 (1.3 – 1.4)
Chapter 1 Review
54
51,59,63,67,73,75,81,82
50
56
4bc,5a,6abc,9,10,11,13-37 odd,
41,46,50,55,57,59-85 odd, 86
________________________________________________________________________________
________ 8
Test 1
Review Course Policies.
________________________________________________________________________________
________ 9
2.1
66
5,13,19,23,35,39,45,47,51,53a
10
________________________________________________________________________________
________ 10
2.1
66
33,41,49,59,61
13
2.2
77
1,3,11,13,16,17,21,25a
________________________________________________________________________________
________ 11
2.1
66
52,53b,57,63,67
12
2.2
77
14,18,19,25bc,32,33
________________________________________________________________________________
________ 12
2.2
2.3
77
15,20,22,31
17
91
9,13,15a,19,23,35,41,49,51,59ab,63
92
Optional: 56,58,60ab,62
________________________________________________________________________________
________ 13
2.3
2.4
________ 14
Quiz 3 (2.1 – 2.3)
2.4
2.5
________ 15
2.5
2.6
________ 16
2.6
2.7
91
11,15b,21,37,50,53,57,65
16
102 7,9,17,21,27,29,33,35
93
Optional: 64,68,70,78
________________________________________________________________________________
102
109
11,23,31,37,41,47,51,54
24
3,7,9,11,15,19,25,35,41,43,
47,51ace,53,63
________________________________________________________________________________
109 4,8,12,23,42,46,52ace
23
119 1cd,2cd,5,9,13,17,39,41,45,65,67,79
110 Optional: 56,58,62,66
________________________________________________________________________________
119 11,19,23,29,33,37,43,59,62,68
19
127 3,7,15,19,25,31,37,43,49
121 Optional: 80,82,84
________________________________________________________________________________
DUE DATE LESSON
SECTION
________ 17
2.7
Quiz 4 (2.4 – 2.7)
Chapter 2 Review
PAGE
127
10
COUNT
PROBLEMS
9,23,35,39
28
129
3,4,9,10,11,12,15,18,21,23,29,30,31,
32,33,39,40,41,44,45,58,60,62,66
________________________________________________________________________________
________ 18
Test 2
Review Course Policies.
________________________________________________________________________________
________ 19
3.1
141 7abc,9,13,21,22
14
3.2
156 3G,7G,11G,17G,19G,20G,21
________________________________________________________________________________
________ 20
3.2
3.3
156
172
5G,25,26,35,39,41,43,45,47,53,67
29
3G,7,17,19G,21ab,23,27,29,
31,33,37,41,45ac,51,58ab
________________________________________________________________________________
________ 21
3.3
3.4
172
190
22ab,35,50
3,5,9,17,19abcd,21,23,29,39,41
In Addition: For each of the following, find
20
f(x  h)  f(x)
h
1. f(x) = 3x  5
2. f(x) = 2x2  6x + 3
3. f(x) = 4x2 + 7
________________________________________________________________________________
________ 22
3.4
3.5
190
209
7,10,32,33
1,3,11,33,37,49,51,53,57
In Addition: For each of the following, find
1. f(x) = 2x2 - 7x + 5
2. f(x) = 15 - 4x2
16
f ( x  h)  f ( x )
.
h
3. f(x) = 6x2 + 5x - 5
192 Optional: 62,70,72ab
________________________________________________________________________________
________ 23
Quiz 5 (3.1 – 3.5)
3.5
3.6
209
223
50,52,54
19
5,7,9,13G,17G,23,25,29,33,35
41,43,45abc,49a
________________________________________________________________________________
________ 24
3.6
3.7
223
236
21G,24,30,31,34,36,39,51
26
2, 5abc, 10abcd, 13abcd, 25ab,
33ab, 36, 38
________________________________________________________________________________
DUE DATE LESSON
SECTION
PAGE
PROBLEMS
11
COUNT
________ 25
4.2
265 9, 11, 13, 15, 21, 25, 29
19
4.6
312 1, 2, 5, 6, 9, 13abc, 17abc, 21abc
________________________________________________________________________________
________ 26
4.2
278 12, 14, 23, 27, 32
22
4.6
312 3, 7, 11, 12, 14abc, 15abc, 19abc, 23abc, 26
________________________________________________________________________________
________ 27
Quiz 6 (3.6, 3.7, 4.2, 4.6)
Chapter 3 Review
29
239
2, 3abc, 9, 11ab, 15, 16, 22ab, 23, 29, 43, 48, 51,
52, 57, 59, 63, 64, 67ab, 69ab
Chapter 4 Review
315 9, 11, 12, 13
________________________________________________________________________________
________ 28
Test 3
Review Course Policies.
________________________________________________________________________________
________ 29
5.1
5.2
328
339
1,3abc,7,8,9,12,13,17,19,27,29,45
30
1,3,5,6,7,11aG,11dG,11eG,11gG,
15G,17G,33bc,35a,41b,42
________________________________________________________________________________
________ 30
5.1
328 5, 11, 18, 25, 26, 28, 30, 46
24
5.2
339 4,9,11fG,19G,34a,37a,41d,43c
5.3
351 1aG,3aG,5,11,13,15,19,25
________________________________________________________________________________
________ 31
5.3
5.4
351
365
3bG,7,12,14,16,21,23,27
43
1ade,3ace,5,7,11bd,13abcde,15abcdeg,17cfg,
19,21,23,29,35aG,35dG,35eG,51,55,63,64
________________________________________________________________________________
________ 32
5.4
365 35bG,56,57,67
16
Quiz 7 (5.1 – 5.3)
5.5
376 1ac,3,9ac,11,17,23,29,33,35G,39G
________________________________________________________________________________
________ 33
5.5
376 1b,7,10ac,13,15,21,25,27,31,32,37G,41G
30
5.6
388 1ab,3ab,5,7,9,11,13,15,17,19,31,33,35,37,51
________________________________________________________________________________
________ 34
5.6
Quiz 8 (5.4 – 5.6)
Chapter 5 Review
388
392
2ab,6,8,12,18,36,40,56,59
42
3, 5abcde, 9, 17,23abcdef, 26, 27, 30, 31, 34
35, 37, 39, 41, 42, 43, 55, 57b, 59ab, 69ab, 71
________________________________________________________________________________
DUE DATE LESSON
SECTION
PAGE
PROBLEMS
12
COUNT
________ 35
Test 4
________________________________________________________________________________
Review for Final Exam
________________________________________________________________________________
Final Exam (Comprehensive)
________________________________________________________________________________
MATH 1720 Online (Also MATH 1830 and MATH 1910): Students enrolled in the online section
(V01) of these courses will get their primary instruction by viewing animated, online slide
presentations. Students enrolled in a traditional lecture section are encouraged to view the online
presentations as needed for additional tutorial assistance. This may be done anywhere the student
has access to a personal computer linked to the Internet, including those in VSCC computer labs.
Links to these online slide presentations may be found at http://www2.volstate.edu/OBible .