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MA 3030-001 Discrete Mathematics Fall 2020 Syllabus

Instructor: Dr. Nick Werner email: wernern@oldwestbury.edu Office Phone: (516) 628-5641 Office Hours: Mon, Wed 10:00AM – 11:00AM through Blackboard Collaborate

Prerequisites: A grade of C or higher in MA 2090 Precalculus

Course Description: A course in discrete mathematics. Topics include (but are not limited to) propositional and predicate logic; set theory; methods of proof; relations and functions; induction and recursion; methods of proof; and basic number theory.

Course Objectives: Students will understand the meaning of logical statements, proposi- tions, quantified statements, mathematical proofs, relations, functions, and sets. Students will be able to write and interpret rigorous proofs of mathematical statements; attain fluency with various methods of proof including direct proofs, proofs by contradiction, and proofs by mathematical induction; and prove mathematical statements about elementary number theory, sets, relations, and functions.

Learning Outcomes: Students will demonstrate the ability to construct arguments using appropriate logical notation; demonstrate the ability to evaluate logical arguments; be able to write and evaluate proofs of mathematical statements; demonstrate proficiency with different methods of proof; and display understanding of sets, relations, functions, and the operations associated with these objects.

Textbook: Discrete Mathematics: An Introduction to Mathematical Reasoning, Brief Edi- tion by Susanna Epp. Brooks/Cole Cengage Learning. ISBN-13: 978-0-495-82617-0

Online Components: Announcements, lecture videos, lecture notes, course schedules, hand-outs, and grades can be found on Blackboard. You can log into the Blackboard page for the course through https://connect.oldwestbury.edu

Homework and exams will also be completed through Blackboard.

Academic Integrity: Students must adhere to the SUNY Old Westbury Policy on Aca- demic Integrity, which can be found online at:

https://www.oldwestbury.edu/schools/arts-sciences/academic-integrity

It is your responsibility to know and follow these policies. Ignorance of the Academic Integrity Policy is never an acceptable excuse.

In particular, note that plagiarizing (which includes copying material from the internet or other sources and presenting it as one’s own) and cheating (which includes unauthorized collaboration or copying of students’ or tutors’ work) are violations of the policy, and will have serious consequences.

Grading: Your grade will be based on exams, homework, and the final exam. In total, your grade will be out of 450 points. Provisional cutoffs (in terms of percentages) for grades are as follows:

A: 94 A-: 90 B+: 87 B: 84 B-: 80 C+: 77 C: 74 C-: 70 D+: 67 D: 64 D- : 60

The 450 points will be distributed as outlined below.

Exams: Exams are worth a total of 200 points. There will be 2 exams. These will be given in class on the following dates: Exam 1: Wednesday 9/23 9:40AM–11:10AM Exam 2: Wednesday 11/4 9:40AM–11:10AM Each exam will be worth 100 points.

Homework: Homework problems from the textbook will be assigned and collected through- out the semester. Occasionally, other problems will be assigned as well. The problems to be handed in for each assignment will be announced on Blackboard. Tentative due dates for these assignments are listed on the course calendar. Keep in mind that the due dates and the assignments may change as the semester progresses. Any changes regarding dates or assignments will be announced on Blackboard.