Professional Education Unit
Department of Mathematics, Computer Science, and Physics
Introduction to Mathematical Proof (ITV)
MATH 300 – 200, 202, 204, 207, 209
Fall 2013
Instructor: Dr. Kathryn M. Lewis
Office: Lappin Hall 204 B
Phone: 606-783-2941
e-mail: k.lewis@moreheadstate.edu
Office Hours:
M W F1 10:20 – 11:20
T Th F2 11:30 – 12:30
Course Description: Prerequisites: MATH 141 and 152, or MATH 174, or MATH 175, or
MATH 275. Propositional calculus; sets; relations; functions; Boolean algebras; cardinality;
mathematical proofs.
Required Field Experience Hours: Not Applicable.
“Community Engagement: A Light to and from the Mountains”
The Professional Education Unit in the Department of Mathematics, Computer Science, and
Physics at Morehead State University delivers rigorous, high quality programs and courses that
prepare professionals informed by NCTM and MAA standards - preparing professionals to
improve the schools, quality of life, and the communities in which they live and serve. This
statement is not only the strategic mission for the department, but it also incorporates the
conceptual framework that guides its activities.
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Conceptual Framework Outcomes (CFOs):
The Unit and the faculty within individual programs assess the degree to which its graduates:
1) Master the content knowledge, professional and the twenty – first century skills need to make
an optimal contribution to “whole” student learning in education settings.
2) Are competent in the collection and use of data to inform decision – making and to
demonstrate accountability for student learning.
3) Demonstrate professional dispositions.
4) Are culturally competent and understand the regions from which they have come utilizing
knowledge and experiences to effectively “bridge the gaps” (economic, achievement, and
geographic) ensuring optimal learning for all students.
5) Engage in authentic field experiences in collaboration with committed school – based partners
and are empowered to improve the quality of education throughout this region and beyond.
Student Learning Outcomes (SLOs): By the end of this course, the candidate will be able to:
1. Build new mathematical knowledge through problem solving.
2. Select and use various types of reasoning and methods of proof and to develop an
inquisitive and exploratory approach to mathematics.
3. Communicate mathematical thinking coherently and clearly to peers, professors, and
others.
4. Understand how mathematical ideas interconnect and build on one another to produce a
coherent whole.
5. Use multiple representations to model and interpret physical, social, and mathematical
phenomena.
6. Demonstrate skills, explain concepts, and justify generalizations in the content area of
writing and evaluating mathematical proofs.
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NCATE/ EPSB Accreditation Alignment of CFOs and SLOs:
Program: Introduction to Mathematical Proof (ITV) (MATH 300 – 200, 202, 204, 207, 209)
Aligned with
Kentucky
Teacher
Standards
(KYS)
Assessment
(point values)
[ Tests, 3@100
pts each, 60% of
grade ]
CFO: 1
SLO: 1,2,3,4,5,6
[ Homework , 100
points, 20% of
grade]
CFO: 1
SLO: 1,2,3,4,5,6
1
[ Final Exam, 100
pts, 20% of grade]
1
CFO: 1
SLO: 1,2,3,4,5,6
1, 8
Kentucky
Core
Academic
Standards
(KCAS)
Education
Professional
Standards
Board
(EPSB)
National
Council of
NCATE
Teachers of
Mathematics
(NCTM)
Number and
Quantity
Algebra
Functions
Geometry
1, 2
1, 2, 3
1, 2, 3, 4, 5, 9
1
1, 2, 3
1, 2, 3, 4, 5, 9
1
Number and
Quantity
Algebra
Functions
Geometry
1, 2, 3
1, 2, 3, 4, 5, 9
1
3
Assignment Descriptions:
Program: Introduction to Mathematical Proof (ITV) (MATH 300 – 200, 202, 204, 207,
209)
Assessment (point value)
Description
Homework (100)
The homework assignments will relate to material from sections of the
textbook. *Note: the lowest homework score will be dropped, and the
overall grade for homework will be converted to a 100-point scale at the end
of the semester.
Exam 1 (100)
This exam will relate to material from the sections of the textbook covered
before Exam 1. The exam will be given in class.
Exam 2 (100)
This exam will relate to material from the sections of the textbook covered
after Exam 1 but before Exam 2. The exam will be given in class.
Exam 3 (100)
This exam will relate to material from the sections of the textbook covered
after Exam 2 but before Exam 3. The exam will be given in class.
Final Exam (100)
This exam will relate to material from the entire semester. The exam will be
given in class during final exam week. *Note: if a student’s grade on the
final exam is higher than the lowest of their grades for the first 3 exams, then
their lowest exam grade will be dropped, and the final exam grade will be
counted twice.
Grading Scale:
90% - 100%
80% - 89%
70% - 79%
60% - 69%
0% - 59%
A
B
C
D
E
Required Textbook:
Discrete Mathematics: An Introduction to Proofs and Combinatorics by Kevin Ferland
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Course Evaluation
The student’s course evaluation will be determined by homework assignments and exams. The
course evaluation is based upon 500 points. The instructor expects the assignments to be turned
in on time: unless otherwise specified, assignments are due during the class meeting on the due
date; after that, they are considered to be late (even if it is sometime later that same day). Late
assignments will be accepted until the next class meeting after the due date (and the student’s
grade on a late assignment will be reduced by 10% of the total points possible for that
assignment); after that time, the assignment will not be accepted (so the student’s grade for that
assignment will be counted as zero points). Exceptions to the above policy for late assignments
can be made for specific excused cases (such as illness or university-sponsored functions) if they
are cleared with the instructor. If a student misses an exam, then the student’s grade for that
exam will be counted as zero points; however, if the reason for missing an exam is cleared with
the instructor as an excused case, then the student will be allowed to make up the exam within
one week of the date that the exam was given in class, but if that exam is not made up by that
deadline, then the student’s final exam grade will be counted in place of that missed exam grade.
If spiral notebook paper is used for an assignment, the student should cut the ragged edges off of
the pages before the assignment is turned in. If assignments are to be faxed to the instructor, the
student should write on only the front of each piece of paper and should write darkly enough so
that the faxed image will be readable. The use of calculators will not be allowed on exams. See
table for additional explanation.
Attendance Policy
If a student comes to class late or leaves early, 1) this can cause the student to miss important
information from class, and 2) this can be disruptive to the other students in the class. Therefore,
the student is expected to attend every class, to come to class on time, and to stay for the entire
class period. Although there are no points in the course grade that are directly based on
attendance, absences from class can result in loss of points from the course grade due to a late
assignment or a missed exam.
Academic Honesty
Cheating, fabrication, plagiarism or helping others to commit these acts will not be tolerated.
Academic dishonesty will result in severe disciplinary action including, but not limited to, failure
of the student assessment item or course, and/ or dismissal from MSU. If a student is not sure
what constitutes academic dishonesty, the student should read the Eagle: Student Handbook or
ask the instructor. An example of plagiarism is copying information from the internet when
appropriate credit is not given. The policy is located at
http://www2.moreheadstate.edu/advising/index.aspx?id=8311
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Americans with Disabilities Act (ADA)
In compliance with the ADA, all students with a documented disability are entitled to reasonable
accommodations and services to support their academic success and safety. Though a request for
services may be made at any time, they are best applied when requested at or before the start of
the semester. To receive accommodations and services the student should immediately contact
the Disability Services Coordinator at: 204-E ADUC, 606-783-5188, or
e.day@moreheadstate.edu
Campus Safety Statement
Emergency response information will be discussed in class. Students should familiarize
themselves with the nearest exit routes in the event evacuation becomes necessary. Students
should notify their instructor at the beginning of the semester if they have special needs or will
require assistance during an emergency evacuation. Students should familiarize themselves with
emergency response protocols at http://www2.moreheadstate.edu/emergency
Course Calendar:
Week
1 (Aug. 19-23)
2 (Aug. 26-30)
3 (Sept. 2-6)
4 (Sept. 9-13)
5 (Sept. 16-20)
6 (Sept. 23-27)
7 (Sept. 30Oct. 4)
8 (Oct. 7-11)
9 (Oct. 14-18)
10 (Oct. 21-25)
11 (Oct. 28Nov. 1)
12 (Nov. 4-8)
13 (Nov. 11-15)
14 (Nov. 18-22)
15 (Nov. 25-29)
16 (Dec. 2-6)
MATH 300 – 200, 202, 204, 207, 209 (ITV)
Fall 2013 Tentative Weekly Schedule
Topic
Readings
Assignments
Due
Syllabus, Problem Solving and Decision
Making sheet, Student Profile Sheet,
statement forms and logical equivalences,
set notation
Quantifiers
Set operations and identities
Valid arguments
Review for Exam 1, Exam 1, direct
demonstration
Direct demonstration, general
demonstration
General demonstration
Sec. 1.1, 1.2
Sec. 1.1 HW
Sec. 1.3
Sec. 1.4
Sec. 1.5
Sec. 2.1
Sec. 1.2 HW
Sec. 1.3 HW
Sec. 1.4 HW
Sec. 1.5 HW
Sec. 2.1, 2.2
Sec. 2.1 HW
Sec. 2.2, 2.3
Sec. 2.2 HW
Indirect arguments, splitting into cases
Sec. 2.4, 2.5
Review for Exam 2, Exam 2, divisors
Divisors, sequences, indexing, recursion
Sequences, indexing, recursion, sigma
notation , mathematical induction
Mathematical induction, induction and
summations
Review for Exam 3, Exam 3
General relations, basics of functions
Special functions
Special functions, review for Final Exam
Sec. 3.1
Sec. 3.1, 4.1
Sec. 4.1, 4.2, 4.3
Sec. 4.3, 4.4
Sec. 2.3 HW,
Sec. 2.4 HW
Sec. 2.5 HW
Sec. 3.1 HW
Sec. 4.1 HW,
Sec. 4.2 HW
Sec. 4.3 HW
Sec. 5.1, 5.3
Sec. 5.4
Sec. 5.4
Sec. 4.4 HW
Sec. 5.1 HW
Sec. 5.3 HW
Sec. 5.4 HW
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Help
 Feel free to come see the instructor during office hours or schedule an appointment.
 Working together in groups with other students in the class can also be very helpful.
Last day to add a class or to change sections: Monday, August 26, 2013
Last day to drop a class:
1) 1st half-semester class: Tuesday, September 17, 2013
2) full-term class: Friday, November 1, 2013
3) 2nd half-semester class: Monday, November 18, 2013
Final Exam: Friday, December 13, 2013, 8:00 a.m. to 10:00 a.m.
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