Syllabus for
MAT 099—Introduction to College Mathematics
3 Credit Hours
Summer 2017
I.
COURSE DESCRIPTION
A non-specialized course in mathematics that surveys the basic concepts of high school
mathematics. (Does not count toward a major or minor in mathematics. Increases the number of
hours in a degree program by three credit hours. Does not satisfy general education requirement.)
II.
COURSE GOALS
The purpose of this course is to enable the student to be able to do the following:
A.
Understand the concrete approaches to mathematical concepts.
III.
B.
Understand effective communication (oral and written) of mathematical ideas in class and
on assignments.
C.
Understand the development of mathematical vocabulary.
D.
Acquire a strengthening of basic algebraic skills.
E.
Make a smoother transition to either of the required general education math courses.
STUDENT LEARNING OUTCOMES FOR THIS COURSE
A.
Pre-Algebra Unit—The Real Number System
This unit contains lessons that are a prerequisite for the Algebra unit.
As a result of successfully completing this unit, the student will be able to do the
following:
1.
Perform operations with exponents, order of operations, and inequality.
2.
Solve and simplify expressions, and equations with variables.
3.
Use the real number line to add and subtract real numbers.
4.
Find products, and quotients for real numbers.
5.
Recognize and use the properties of real numbers to simplify expressions.
B.
Algebra Unit – Equations, Inequalities, and Applications
As a result of successfully completing this unit, the student will be able to do the
following:
1.
Simplify equations using the addition and multiplication properties.
2.
Solve equations by applying the addition and multiplication properties multiple
times.
3.
Solve applications of linear equations that use formulas and geometry.
4.
Solve linear inequalities.
D.
Graphing Linear Equations and Inequalities in Two Variables Unit
As a result of successfully completing this unit, the student will be able to do the
following:
1.
Interpret the meaning of linear graphs.
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2.
Graph lines and inequalities using slopes, intercepts, and substitution.
E.
Exponent and Polynomials Unit
As a result of successfully completing this unit, the student will be able to do the
following:
1.
Add and subtract polynomials.
2.
Apply the Product Rule and Power Rules of Exponents to simplify polynomials.
3.
Multiply and divide polynomials.
F.
Factoring and Applications Unit
As a result of successfully completing this unit, the student will be able to do the
following:
1.
Find the greatest common factor for a polynomial.
2.
Factor polynomials by using the distributive property, grouping, and FOIL.
3.
Solve quadratic equations and applications by factoring.
G.
Rational Expressions and Applications Unit
As a result of successfully completing this unit, the student will be able to do the
following:
1.
Use the fundamental property of rational expressions to simplify expressions.
2.
Multiply and divide rational expressions.
3.
Find the least common denominator of rational expressions.
4.
Add and subtract rational expressions.
5.
Solve equations and applications of rational expressions.
H.
Systems of Linear Equations and Inequalities Unit
As a result of successfully completing this unit, the student will be able to do the
following:
1.
Solve systems of linear equations by graphing.
2.
Solve systems of linear equations by substituting.
3.
Solve systems of linear equations by elimination.
4.
Solve applications and systems of linear inequalities.
I.
Roots and Radicals Unit
As a result of successfully completing this unit, the student will be able to do the
following:
1.
Evaluate roots.
2.
Multiply, divide, and simplify radicals.
3.
Add and subtract radicals.
4.
Rationalize the denominator of a fraction.
5.
Solve equations with radicals
I.
Quadratic Equations Unit
As a result of successfully completing this unit, the student will be able to do the
following:
1.
Solve quadratic equations by the square root property.
2.
Solve quadratic equations by completing the square, and using the quadratic
formula.
3.
Graph quadratic equations.
4.
Specify whether a relations is a function or not.
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IV.
TEXTBOOKS AND OTHER LEARNING RESOURCES
A.
Required Materials
1.
Textbooks
The textbook, homework problems, and tests will be made available online. The
student must purchase a MyMathLab student access code to MyMathLab.com.
Email your instructor for more information.
2.
Other
Calculator
Loose-leaf paper
B.
Optional Materials
1.
Textbooks
If your instructor uses MyMathLab software, the textbook is available in e-book
form via an access code purchased from the ORU book store. All homework test
and reports of grades are also available via the MyMathLab software. If your
instructor does not use MyMathLab, a purchase of the book is necessary.
Kirk Trigsted, Beginning Algebra 1/e. Prentice Hall. ISBN-13: 9780321726421
2.
V.
Other
None
POLICIES AND PROCEDURES
A.
University Policies and Procedures
1.
Attendance at each class or laboratory is mandatory at Oral Roberts University.
Excessive absences can reduce a student’s grade or deny credit for the course.
2.
Students taking a late exam because of an unauthorized absence are charged a
($15) late exam fee.
3.
Students and faculty at Oral Roberts University must adhere to all laws addressing
the ethical use of others’ materials, whether it is in the form of print, electronic,
video, multimedia, or computer software. Plagiarism and other forms of cheating
involve both lying and stealing and are violations of ORU’s Honor Code: “I will
not cheat or plagiarize; I will do my own academic work and will not
inappropriately collaborate with other students on assignments.” Plagiarism is
usually defined as copying someone else’s ideas, words, or sentence structure and
submitting them as one’s own. Other forms of academic dishonesty include (but
are not limited to) the following:
a.
Submitting another’s work as one’s own or colluding with someone
else and submitting that work as though it were his or hers;
b.
Failing to meet group assignment or project requirements while
claiming to have done so;
c.
Failing to cite sources used in a paper;
d.
Creating results for experiments, observations, interviews, or
projects that were not done;
e.
Receiving or giving unauthorized help on assignments.
By submitting an assignment in any form, the student gives permission for the
assignment to be checked for plagiarism, either by submitting the work for
electronic verification or by other means. Penalties for any of the above
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4.
5.
infractions may result in disciplinary action including failing the assignment or
failing the course or expulsion from the University, as determined by department
and University guidelines.
Final exams cannot be given before their scheduled times. Students need to check
the final exam schedule before planning return flights or other events at the end of
the semester.
Students are to be in compliance with University, school, and departmental
policies regarding Whole Person Assessment (WPA) requirements. Students
should consult the WPA handbooks for requirements regarding general education
and the students’ majors.
a.
The penalty for not submitting electronically or for incorrectly submitting
an artifact is a zero for that assignment.
b.
By submitting an assignment, the student gives permission for the
assignment to be assessed electronically.
B.
Department Policies and Procedures
1.
Computer Resources - Each Student who uses the computer is given access to the
appropriate computer resources. These limited resources and privileges are given
to allow students to perform course assignments. Abuse of these privileges will
result in their curtailment. Students should note that the contents of computer
directories are subject to review by instructors and the computer administrative
staff.
2.
Late Exams - Each instructor has his or her own late-exam policy, so an instructor
may decide that an exam missed because of an unexcused absence cannot be
made up.
3.
Unexcused Absences - Any student whose unexcused absences total 33% or more
of the total number of class sessions will receive an F for the course grade.
4.
Incompletes – As stated in the University catalog, incompletes are granted only
for “good cause,” such as extended hospitalization, long-term illness, or a death in
the family. Students must petition for an incomplete using the form available in
the Computing and Mathematics Department. Very few incompletes are granted.
C.
Course Policies and Procedures
1.
Evaluation Procedures
a.
Weighted categories may vary depending on the instructor, or software
used in the class. The categories of activities are weighted as follows:
Exams
40%
Homework
40%
Classwork
20%
Final Exam
Will replace the lowest test grade.
b.
Grading scale:
A=90%
B=80%
C=70%
D=60%
F=59% and below
4
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Absence, tardiness, late work, or bad behavior can negatively affect your
grades.
Whole Person Assessment Requirements
None
2.
VI.
COURSE CALENDAR
The course calendar for those using a hardcopy of the book is listed below. Those using
MyMathLab will find the calendar at MyMathLab.com. Check with the book store or instructor
for the book or software needed for this course.
Lesson
Topic
1-5
Real Numbers
2
Exponents, Order of Operations,
and Inequality
9.1 p. 621: 1 through 8, 19, 21, 25, 28, 33, 42, 47,
51 through 58, 62, 66, 70, 77, , 81
3
Variables, Expressions, and
Equations
9.2 p. 627: 1-5, 11, 13, 14, 19, 21, 23, 27,
evens 34 – 44, 47 – 50.
4
9.3 p. 637: 1 - 6, 14, 19 – 25, 27 – 33, 45 - 48
5
Real Numbers and the Number
Line
Adding Real Numbers
6
Subtracting Real Numbers
9.5 p. 651: 1 - 8, 11, 12, 15, 16, 19, 20, 22, 23 27,
29, 30, 44 – 46, 49, 51, 61, 62
7
Multiplying and Dividing Real
Numbers
9.6 p. 665: 1 – 6, 9 – 14, odds 19 – 27, 32 – 34,
56, 46, 51, 56 – 58, 73, 74
8
Properties of Real Numbers
9.7 p. 675: 1 – 22, 48 – 51, 61, 62
9
Simplifying Expressions
9.8 p. 683: 1 – 14, 18, 19, 37, 38, 48, 52
10
Test 1
Chapter 9
11
Addition Property of Equality
9.4 p. 643: 5 – 13, 23 – 25, 29 – 31, 37 - 42
10.1 p. 703: 1 - 3, 5 – 16, 21 – 23, 25 – 28, 33 – 35
50, 51
10.2 1 – 16, 21 – 32, 43, 45, 53, 56, 62
12
Multiplication Property of Equality
13
More on Solving Linear Equations
10.3 p. 719: 7 - 21, 23, 58, 61, 68
14
Applications of Linear Equations
10.4 p. 731: 3 – 14, 15, 17
5
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15
Simplifying Expressions
9.8 p. 683: 5,8, 9,10 11,12, 13, 14, 17, 18, 21, 22, 28, 30,
33, 34, 37, 38, 43, 44
16
Addition Property of Equality
10.1 p. 703: 2, 5, 6, 7, 8, 9, 10, 14, 16, 20, 22, 26, 28,
33, 34, 36, 42, 44, 49, 50
17
Multiplication Property of Equality
10.2 p. 709: 1, 2, 3, 6, 11, 12, 14, 16, 22, 24, 26, 28, 30,
39, 40, 46, 49, 52, 56, 66
18
Solving Linear Equations
10.3 p. 719: 7, 8, 11, 12, 14, 16, 18, 19, 20, 21, 22, 30, 62
19
Linear Graphs
11.1 p. 781: 1, 2, 5, 15, 16, 20, 27, 30, 32, 34, 35, 36, 38,
40, 42, 45, 46, 48, 51, 52, 53
20
Graphing Linear Equations
11.2 p. 795: 1, 2, 4, 6, 9, 10, 13, 14, 16, 22, 24, 25, 26, 28
21
Slope of a Line
11.3 p. 809: 1, 2, 4, 6, 13, 17, 18, 20, 22, 24, 29, 30, 32, 35,
38, 41, 42, 43, 46, 54
22
Equations of Lines
11.4 p. 821: 1, 3, 4, 6, 9, 10, 15, 16, 17, 18, 22, 26, 28
23
Review
p. 689: 5, 13, 25, 26, 43, 45, 53, 55, 73, 75, 97, 98
p. 765: 1, 2, 3, p. 839: 5, 9, 12, 21, 25, 27, 43
24
Test 2
Chapters 9, 10, 11
25
Adding and Subtracting Polynomials 12.1 p. 855: 1, 2, 3, 6, 7, 8, 12, 13, 14, 17, 18, 20, 26, 35, 36,
41, 53, 54, 55, 56, 63, 64
26
Product and Exponent Rules
12.2 p. 865: 1, 3, 4, 5, 6, 7, 8, 10, 12, 19, 20, 22, 25, 26, 30,
33, 34, 41, 42, 44, 48, 61, 66
27
Multiplying Polynomials
12.3 p. 871: 1, 2, 7, 8, 10, 11, 21, 22, 24, 31, 32
28
Special Products
12.4 p. 877: 1, 3, 4, 6, 8, 10, 15, 16, 18, 21, 22, 24, 25, 28
29
Integer Exponents,
Quotient Rule
12.5 p. 887: 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 19, 20, 24,
26, 37, 38, 40, 42, 44, 49, 50, 59, 60
30
Polynomial ÷ Monomial,
12.6 p. 891: 7, 8, 9, 10, 12, 13
12.7 p. 897: 5, 6, 7, 8, 10
Polynomial ÷ Polynomial
31
Factors
13.1 p. 923: 1, 2, 4, 8, 11, 12, 14, 17, 18, 20, 22, 23, 24,
26, 31, 32, 33, 34, 43, 44
32
Factoring Trinomials
13.2 p. 929: 11, 12, 14, 16, 18, 20, 27, 28, 35, 36, 41, 42,
43, 44, 47, 48,
13.4 p. 939: 3, 4, 6, 8, 15, 16, 18
33
Multiplying Signed Numbers
13.6 p. 953: 11, 14, 16
6
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13.7 p. 961: 1, 2, 4, 6, 15, 16, 18, 20, 23, 24,33, 34, 39, 40,
42
34
Review
35
Test 3
Chapters 12, 13
36
Evaluating Roots
16.1 p.1129: 7, 8, 10, 12, 17, 18, 20, 24, 27, 31, 32, 36, 43,
44, 48, 51
37
Introduction to Basic Statistics
16.2 p.1139: 3, 4, , 5, 6, 8, 13, 14, 15, 16, 17, 20, 22, 25, 31,
41, 42, 43, 44, ,45, 46, 53, 54, 63, 64, 70
38
Rationalizing the Denominator
16.3 p. 1145: 5, 6, 8, 10, 11, 14
16.4 p. 1151: 1, 2, 3, 4, 17, 18, 23, 24, 26, 28
39
Solving Equations with Radicals
16.6 p. 1167: 1, 2, 3, 4, 6, 8, 10, 11, 12, 13, 14, 15, 16, 19,
20, 24, 37, 38
40
Solving Quadratic Equations
17.1 p. 1185: 7, 8, 10, 13, 14, 21, 22, 24, 27, 28, 29, 30,
31, 32, 37, 38
41
Solving Equations by
Completing the Square
17.2 p. 1195: 1, 2, 3, 4, 6, 9, 10, 12, 13, 17, 18
42
Quadratic Formula
17.3 p. 1201: 1, 2, 3, 4, 7, 8, 9, 10, 15, 16, 21, 22
43
Triangles
7.7 p. 525: 19, 20, 21, 27, 28,
7.4 p. 1, 2, 5, 9, 13, 14, 16
44
Lines and Angles,
Review
7.1 p. 472: 1, 2, 3, 7, 8, 9, 10, 12, 13, 14, 19, 20, 22, 23, 24,
28, 29, 30, 32, 34, 36, 50, 52,
45
Test 4
Chapters 16, 17, 7
Final Exam
7
MAT 099—Latest Revision: 7/25/16
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Course Inventory for ORU’s Student Learning Outcomes
MAT 099—Introduction to College Mathematics
Fall 2016
This course contributes to the ORU student learning outcomes as indicated below:
Significant Contribution – Addresses the outcome directly and includes targeted assessment.
Moderate Contribution – Addresses the outcome directly or indirectly and includes some assessment.
Minimal Contribution – Addresses the outcome indirectly and includes little or no assessment.
No Contribution – Does not address the outcome.
The Student Learning Glossary at http://ir.oru.edu/doc/glossary.pdf defines each outcome and each of the
proficiencies/capacities.
OUTCOMES & Proficiencies/Capacities
1
1A
1B
1C
1D
2
2A
2B
2C
2D
2E
3
3A
3B
4
4A
4B
4C
4D
4E
Significant
Moderate
Minimal
No
Contribution Contribution Contribution Contribution
Outcome #1 – Spiritually Alive
Proficiencies/Capacities
Biblical knowledge
Sensitivity to the Holy Spirit
Evangelistic capability
Ethical behavior
Outcome #2 – Intellectually Alert
Proficiencies/Capacities
Critical thinking
Information literacy
Global & historical perspectives
Aesthetic appreciation
Intellectual creativity
X
X
X
X
X
X
X
X
X
Outcome #3 – Physically Disciplined
Proficiencies/Capacities
Healthy lifestyle
Physically disciplined lifestyle
Outcome #4 – Socially Adept
Proficiencies/Capacities
Communication skills
Interpersonal skills
Appreciation of cultural & linguistic
differences
Responsible citizenship
Leadership capacity
X
X
X
X
X
X
X
8
MAT 099—Latest Revision: 7/25/16
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