Course Description: This course serves as a bridge
to higher lever mathematics courses. Topics include
propositional and predicate logic , mathematical induction, logic and structure
of sets as related to
mathematical proof , relations, and cardinality. Three hours per week.
Prerequisites : At least a grade of C or better in MATH
2252.
Course goals and expected outcomes: At minimum, the
student will be expected to:
• Communicate mathematics by using mathematical symbols and expressions
• Describe sets, find subsets, partitions of sets, and Cartesian Products of
sets
• Use and understand prepositional logic
• Understand and demonstrate mathematical proving techniques
• Identify reflexive, symmetric, transitive, and equivalence relations
• Identify injective (1-1) and surjective (onto) functions
• Find the composition of functions, the inverse of a function, and permutations
• Use the Principle of Mathematical Induction and Divisibility
• Recognize numerically equivalent sets
• Identify countable and uncountable sets
• Use the Schroder-Berstein Theorem.
Homework Assignments: There will be homework
assignments to be turned in roughly one every two
weeks. You are encouraged to work in groups on the homework assignments but
every student must turn
in his/her own paper.
Exams: There will be two in-class tests; the
make-up policy below will apply. The Test Average will be
calculated as the average of the highest two scores of the two exams and the
final exam. See the “weekly
plan” for the dates of the test and final.
Final Exam: There will be a cumulative final exam to be
held during Finals Week.
Key Assessment: In all programs ending in teacher
certification, program candidates are expected to
complete a series of assessments which demonstrate their knowledge and skills.
Each key assessment has
criteria which must be obtained in order for a candidate to move forward and
complete the program.
Therefore, passing this class does not guarantee your continuance in the
program. In addition to obtaining a
grade of C or higher, you must also meet the required criteria for the key
assessment in order to continue to
progress toward graduation in this certification program. This course contains a
Key Assessment 3040.
NOTES: The criterion for your successful completion of this key assessment is:
80% or higher; No matter
what the score obtained, the KEY ASSESSMENT WILL COUNT AS A HOMEWORK GRADE.
Grading Scale: A = 90-100% B = 80-89% C = 70-79% D =
60-69% F = 0-59%
This scale will be strictly enforced.
Final Grade: The final grade is based on the following
components:
| 25% |
Homework |
ONE homework score will be dropped |
| 40% |
Test Average |
Average of the highest two scores of the 2 tests
and the final exam |
| 35% |
Final Exam |
Cumulative exam |
Make-up Policy: Make-ups for the midterm and final exams
may be granted for university allowable
reasons such as: (1) death in the family, (2) serious injury or illness (with
doctor’s note), (3) travel required
to represent the college. Requests for make-ups must be received and approved
prior to the exam time.
Required Student Materials: (1) Text Book Mathematical
Proofs: A Transition to Advanced Mathematics
2^nd edition by G. Chartrand , A.D. Polimeni, and P. Zhang. (2) Other reading
materials will be photo-copied
and distributed to the class as needed.
Academic Misconduct: As a Macon State College student and
as a student in this class, you are responsible
for reading, understanding, and abiding by the MSC Student Code of Conduct..
Tentative Schedule: The “Weekly Plan” gives the schedule
of sections covered each week for the entire
semester. The test date WILL NOT CHANGE but the sections covered by the test and
homework
assignments are subject to change.
Responsibility for Missed Work: Missing or late work WILL
NOT be accepted unless prior arrangements
are made. If you miss a class, it is YOUR RESPONSIBILITY to obtain the
assignment and complete it. It
is, thus, highly recommended that you share contact information with some of
your fellow classmates.
Office Hours: Students are welcome to come to office hours
but are expected have attempted the
homework and to have their notes and questions organized.
Telecommunications:
• Cell phone ringers should be turned off prior to entering the classroom.
• If there is an emergency call, please leave the classroom.
• Emails to me should concern official school business only.
Disability Accommodations: If you have a disability that
may require assistance or accommodations, or if
you have questions related to any accommodation for testing, note taking,
reading, etc., please speak with
me as soon as possible. You may also contact the Counseling Center at LS-100 or
(478) 471-2985 with
any questions.
Disclaimer: This syllabus is subject to change at the
discretion of the instructor.
