COURSE SYLLABUS
FALL 2016
MTH 1513 - College Algebra
Instructor: Tony Nelson
Call No. 13027-101
MW 8:30-9:50, MC G37
Office No: MC G32
Office Phone: (918) 595-7250
e-mail: [email protected]
Call No. 13034-106
TR 8:30-9:50, MC G37
Call No. 15477-112
Friday 8:30-11:20, MC G37
School of Science and Math
Faculty Chairman: Josh Baker
e-mail: [email protected]
COURSE PRE-REQUISITE
Two years high school algebra OR a grade of “C” in MTH 0123 or MTH 0105 or their equivalent
OR an appropriate score on the ACT or TCC placement test. Please see page 6 of this syllabus
for more detailed information regarding pre-requisite material.
NEXT COURSE (S) IN SEQUENCE
Depends on your major and career goals.
TEXTBOOK AND OTHER MATERIALS
College Algebra, 6th edition, ISBN 0-321-782-283
Author: Blitzer
Publisher: Prentice Hall/Pearson
You may also purchase a student access code for MyLabsPlus (MLP), an online textbook,
video, and tutorial resource. All students will have a 14 day free trial period of MLP which
begins August 22, 2016 . See the last page of this syllabus for instructions on how to register
with MyLabsPlus. MLP is not mandatory for this class.
I would also check other resources for a textbook such as renting via Chegg.com or
Amazon.com. The student is responsible for course materials starting the first day of class.
TUTORAL AND COMPUTER ASSISTANCE
The math lab (MC 315) provides tutorial services and is open from 8:00 am to 8:00 p.m. Monday
through Thursday and 8 – 5 on Fridays.
CATALOG DESCRIPTION
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A continuation of MTH 0123 or MTH 0105, including relations and functions, graphing using
transformations, algebra of functions, conic sections, polynomial and rational functions, systems
of equations, matrices, exponential and logarithmic functions, binomial theorem, sequences and
series, and applications. Lecture three hours. No laboratory. Prerequisites: Two years high
school algebra and appropriate CPT or ACT score OR completion of MATH 0123 or 0105 with a
grade of “C” or better, or their equivalent.
COURSE OBJECTIVES
Upon completion of the course, students will be able to:
1. Algebraically solve equations and inequalities, including but not limited to:
polynomial, logarithmic, exponential, rational, radical, and absolute value.
2. Perform operations on functions and identify the properties and characteristics of
functions. This includes but is not limited to: domain and range, one-to-one,
inverse, increasing and decreasing, and asymptotic behavior.
3. Identify and construct graphs and apply their transformations. Graphs include but
are not limited to basics graphs, polynomial, rational and piecewise.
4. Apply algebraic concepts to real world problems.
TEACHING METHODS
While the lecture method will be used primarily, student participation is encouraged. Please feel free to ask
questions and offer comments. Lectures will usually consist of definitions and examples to assist the
student in the learning process. Note guides for all lessons will be sent out weekly on BlackBoard.
EVALUATION TECHNIQUES
Homework will be collected randomly at the beginning of class and will constitute the equivalent
of one test grade (100 points). Homework is graded based on neatness, completeness, and
compliance. Students will be allowed two late homework assignments, but late homework must
be turned in no later than one week after the original due date to receive credit. Please label
homework as follows:
name
section and problems
due date
Multiple pages must be stapled if applicable.
There will be four quizzes worth 100 points each. The basis of a student’s grade will be the total
number of points earned out of 500 possible. In no cases will make-up quizzes be administered
nor will the homework or final quiz be “dropped”.
GRADING SYSTEM
The following accumulated point totals will earn the given grades:
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450 < A < 500
400 < B < 449
350 < C < 399
300 < D < 349
F < 299
note: Grades will not be curved. Extra credit points available will allow the
grade to increase by the equivalent of up to five percentage points.
An incomplete grade (I) will only be considered in cases of extreme situation and only if the
student is passing and has attended 90% of the scheduled classes. An “I” grade will not be given
in lieu of a final grade that is not acceptable to the student.
A request to change from credit to audit (AU) will only be considered if a student has not been
excessively absent from class. Check with the registrar to find out the time limit for an audit
grade. In no case is an “I” or an “AU” grade to be used to substitute for a failing grade at the end
of the semester.
If a student chooses to withdraw from the course, the last day to withdraw with a grade of “W” is
_Friday 11/11/16_____. The instructor will not administratively withdraw (AW) students
from this class in lieu of a grade assignment or due to student desire to withdraw after the
deadline to withdraw has passed. Withdrawal can adversely affect your financial aid status.
If a student fails to attend or participate in class for two weeks, the instructor has the
discretion to assign an “AW” grade.
ATTENDANCE POLICY
The student is encouraged to avoid excessive absences and tardiness. Tardiness and absences
usually have an adverse effect on a student’s grade. The student will not be dropped from the
class if the excessive absences continue, however a failing grade may occur as a result of
excessive absences. The instructor has the prerogative to administratively withdraw
students who discontinue attending class. Such a withdrawal can adversely affect your
grade and financial aid status.
PLAGIARISM POLICY
Plagiarism is claiming, indication, or implying that the ideas, sentences, or words of another
writer are your own; it includes having another writer do work claimed to be your own, copying
the work of another and presenting it as your own. This applies to homework, quizzes, or any
other work turned in for credit. The student should review the relevant sections of the TCC
Student Code of Conduct Policy Handbook.
CLASSROOM POLICY
Students will be treated as adults in this class and it is expected that they will behave as such.
Disruptive or rude behavior towards the instructor or a classmate will result in that student’s
removal from the class. Turn off and put away cell phones while class is in session. Please do
not use Bluetooth or other types of earphones during class.
No children are permitted in the classrooms or teaching areas. This is a policy of the college.
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CALCULATOR POLICY
The heart of mathematics is deductive thought and proof and no calculator can perform these
tasks. Calculators are an important tool in mathematics but must be used appropriately. For this
class, mathematical insight will be stressed because it is the most effective (and easiest) way to
solve problems. A basic scientific calculator will be required where appropriate. All work and
algebraic processes must be shown to receive credit on homework and quizzes.
A TI-30X IIS (or similar) will be the only type of calculator allowed during quizzes or tests.
Once again, all work (as appropriate) must be shown to receive credit on homework and quizzes.
DISABILITY RESOURCES: It is the policy and practice of Tulsa Community College to
create inclusive learning environments. Accommodations for qualifying students in compliance
with the Americans with Disabilities Act (ADA) and Section 504 of the Rehabilitation Act are
available. To request accommodations, contact the Education Access Center (EAC) at
[email protected] or call (918) 595-7115 (Voice). Deaf and hard of hearing students may text
(918) 809-1864.
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TENTATIVE AGENDA- FALL 2016
Week
1: 8/22`
SECTIONS
1.5
2: 8/29
1.6, 2.1
3: 9/05 (Labor Day 9/05)
2.1, 2.2
4: 9/12
2.3, 2.4
5: 9/19
2.5, quiz one (W,R,F)
6: 9/26
2.6, 2.7
7: 10/03
2.8, 3.1
8: 10/10
3.3, 3.5
9: 10/17
4.1&2, quiz two (W,R,F)
10: 10/24
4.4
11: 10/31
4.5, 5.1
12: 11/07 (no classes on Tuesday 11/08)
5.2, 5.4 (MW and F class), 5.2 (TR class on 11/10)
13: 11/14
5.4 (TR class on 11/15), quiz three (6.3 F class)
14: 11/21 (Thanksgiving 11/23-25)
6.3 (M and T)
15: 11/28
7.3, 8.1
16: 12/05
8.2, 8.3, 8.6
17: 12/12
quiz four-see final exam schedule
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The following problems/questions are representative of what you are supposed to
know how to do after successfully completing beginning and intermediate algebra
OR other pre-requisite coursework.
Refer to your notes, your beginning/intermediate algebra book, your developmental math
instructor(s), or the math lab for assistance. The numbers in parentheses after each
problem indicate the section of the beginning/intermediate text used at Metro Campus
(Algebra, A Combined Approach, 4th ed. by Martin-Gay) from which these problems are
referenced.
Examples of what you should know from beginning algebra:
Solve the following equations for x:
1. 5 – 7(2 + x) = x + 15 (2.2)
2.
3.
4.
3(𝑥+3)
5
5(𝑥−1)
4
𝑥
2
= 2x + 6 (2.3)
=
−1 =
3(𝑥−1)
2
𝑥
5
(2.3)
+ 2 (2.3)
5. Solve the following for x: 5(2x – 4) > 4(3x – 1) . Graph the solution set on a number line. (2.7)
6. A triangle has sides that are 3x + 2, 2x – 1, and x inches long. The perimeter of the triangle is 37
inches. Find the length of each side. (2.3)
7. Graph the equations x = -3 and y = 5 on the same axes. Plot and label three points for each equation
and connect the points with a straight line. (3.2, 3.3)
8. Calculate the slope of the lines containing the following points: (3.4)
a) (-1, 16) & (3, 4)
b) (3, 5) & (1, -7)
9. Use the slope intercept form to graph the equation y = ⅔ x – 5 . Plot three points and connect them
with a straight line. (3.5)
10. Find an equation of the line with slope -2 that passes through the point (4, -1). Write your answer
in slope-intercept form (y = mx + b). (3.5)
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11. Simplify the following. Write without negative exponents. (5.1, 5.2)
15x4y5
4-2 + 4-1
2-3 x-4
7 2
-5x y
22 x
12. Determine the area and the perimeter of the rectangle with length x – 2 and width 3x + 4 (5.4,
5.5)
13 . Divide 4x3 − 8x – 10
x+3
. Use either regular or “synthetic” division. (5.7)
Examples of what you should know from beginning and intermediate algebra:
14. Factor out the GCF: 16xy – 12x2 (6.1)
15. Factor by grouping: 5x2 – 4xy – 10x + 8y (6.1)
Factor the following polynomials completely: (6.1, 6.2, 6.4, 6.5)
16. x2 - x – 30
17. x2 + 4x – 77
18. 3x3 – 12x2y – 36xy2
19. 10x – 8 + 3x2
20. x2 + 18x + 81
21. 25x2 – 4
22. x3 + 27
23. x3 – 64
Examples of what you should know from intermediate algebra:
Find any numbers for which the rational expression is undefined: (7.1)
1.
𝑥+4
2.
𝑥−1
𝑥+5
𝑥 2 −𝑥−6
3. Solve for all x using the zero factor property: x2 – 4x – 12 = 0 (6.6)
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4. Perform the operation and simplify: (7.4)
𝑥
.
5
2𝑥−4
+ 2−𝑥
Find the quotient and simplify: (7.2)
5.
𝑥+2
7−𝑥
÷
𝑥 2 −5𝑥+6
𝑥 2 −9𝑥+14
Solve the following equations for x. State any restrictions on x. (7.5)
5
2
6.
6 +
= x 𝑥
𝑥
7.
8.
1
𝑥+3
3
𝑥+3
+
=
6
𝑥 2 −9
=
12𝑥+19
𝑥 2 +7𝑥+12
1
-
5
𝑥+4
9. Simplify the complex fraction: (7.7)
2
𝑥2
3
𝑥2
1
𝑥
1
+
𝑥
+
10. Write the equation of the line {y = mx + b} through the points (-2,5) and ( -6,13).
11. Write the equation of the following lines: (8.1)
a) . . . horizontal though the point (3, -7)
b) . . . vertical through the point (4,0)
c) . . . undefined slope through the point (5, 2)
d) . . . zero slope through the point (8,0)
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(8.1)
12. Evaluate the following functions for the given values of x: (8.2)
f(x) = 3x – 4
g(x) = 4x2 + 5
h(x) = -x + 7
f(5)
g(-2)
h(-10)
13. Describe the domain and range of the given functions in interval notation. (8.4)
14. Solve the following system by either the addition or substitution method. (4.2, 4.3)
2x – 3y = -15
4y = 31 – x
15. Set up the variation and solve for the given value: (9.4)
S varies directly as T and inversely as U.
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If S = 10 when T = 2 and U = 3, find S when T = 4 and U = 5.
16. Use radical notation to rewrite and simplify: (10.2)
a) 16 3/2
b) (-8) 4/3
17. Write with positive exponents and simplify using radical notation: (10.3)
a) 4 -5/2
b) (-27) -2/3
18. Rationalize the denominator:
−8
√𝑦+4
(10.5)
19. Solve and check:
a) √2𝑥 − 3 - 2 = 1 (10.6)
b) x = √𝑥 − 2 + 2 (10.6)
20. Solve the quadratic equation using the square root property: (11.1)
a) (x – 6)2 = 18
b) (2x – 3)2 = -25
21. Solve the quadratic equation by completing the square: (11.1)
a) x2 + 8x + 2 = 0
b) x2 – 4x + 10 = 0
22. Solve by using the quadratic formula:
a) 5x2 – 3 = 14x
b)
x=
1
8
−𝒃±√𝒃𝟐 −𝟒𝒂𝒄
𝟐𝒂
(11.2)
5
x2 + x – 2 = 0
23. Solve the following absolute value equations: (appendix D)
a) │x│- 5 = 7
b) │x + 2│= 8
24. Solve and graph the following absolute value inequalities. State your solution set as
an interval: (appendix D)
a) │x + 4│< 6
_______________________________
b) │x - 3│≥ 10
_______________________________
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MyLabsPlus Registration Information/Instructions
Before you get started in your course, be sure you have:



MyLabsPlus Web address: http://tulsacc.mylabsplus.com
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The access code you purchased from the bookstore with your textbook or
purchased separately (You have 14 days of free access starting the first day of
access. Select the “pay later” button when prompted).
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2.
Select I Accept once you have read the terms of use.
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If you need technical support, please select the Support tab at your school’s MyLabsPlus
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