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Math 314-02 Discrete Mathematics
Fall 2014
Math 221 (grade C or above).
The purpose of this course is twofold. On one hand, we explore counting properties and methods related to the natural numbers ℕ, as well as properties and algorithms on graphs and trees. On the other hand, it presents all those properties in a logical fashion, so that we can understand and justify why they are correct. Among the proof techniques that we will use for the purpose, the most important one is “Mathematical Induction”
By the end of the semester students are expected to be familiar with the counting properties and methods related to the natural numbers, as well as properties and algorithms on graphs and trees. Students are also expected to understand and be able to justify why these properties, methods and algorithms are correct.
This course is a 4-credit course, which means that in addition to the scheduled lectures/discussions, students are expected to do at least 9.5 hours of course-related work each week during the semester. This includes things like: completing assigned readings and homework, studying for tests and examinations, preparing written assignments, and other tasks that must be completed to earn credit in the course.
Discrete Mathematics by L. Lovász, J. Pelikán and K. Vesztergombi, Springer, 2003
Attendance is partially mandatory, enforced by the daily quizzes. Following the academic policy listed in the University Bulletin, the instructor will NOT grade exams of any student missing more than 25% of the quizzes. The final grade will be an F if a student misses more than 25% of the quizzes. See more details in the Grading section below.
For the semester of Fall 2014, missing more than 3 quizzes without an advance notice will lead to an F.
Components | Dates | Percentage | Time allowed | ||
Quiz | Weekly | 20% | 10 minutes * (12-2) | ||
Test 1 | Monday, Sept. 29 | 15% | 90 minutes | ||
Midterm | Wednesday, Oct. 22 | 20% | 90 minutes | ||
Test 3 | Monday, Nov. 17 | 15% | 90 minutes | ||
Final | Monday, Dec. 15 | 30% | 120 minutes | ||
TOTAL | 100% |
Note that a “Pass” grade in the “Pass/Fail” grade option does not count toward math degrees. If you are a math major, it is not advised to change the grade option to “Pass/Fail” unless you are ready to retake the course at a later time.
If you need to take a make-up, if possible, an advance request should be given. Checkable written proof to justify the request should be given.
In order to minimize the need for make-up exams and the stress of dealing with multiple exams, within the first two weeks of the semester, all students must check the exam schedules of other courses they are taking and make sure that there is no major conflict. The exam dates may be changed accordingly only if the instructor determines necessary.
Students found cheating will be reported to the Provost Office following the academic procedure listed in the University Bulletin. Laptop and electrical communication devices cannot be used in a quiz, test or exam. Calculator in a cellphone cannot be used. Calculators are in general not allowed.
If you are used to using calculators, you should practice on homework problems without using a calculator.
No laptop usage in classroom. Text messaging should be minimal. Late arrivals, early departures, cell phone conversations, eating and drinking, etc., are inappropriate behaviors. According to the Faculty-Staff Handbook, the instructor may ask those who, in the instructor’s judgment, have seriously impaired the class’s ability to achieve the objectiveness of the course, to leave the classroom.