# Bridge to Higher Mathematics

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 as signments 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 be low 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.

 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 mid term 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.

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