Course Instructor : Dr. Peh Ng --
Course Time : 10:30-11:35am MWF
Course Venue : Sci 4655
Instructor's OFFICE: Sci 2550 (Science and Math Division Office)
Instructor's OFFICE HOURS: 1:30-2:30 MWF, or by appointment. (Unless I am on the Twin Cities campus for committee meetings on alternate Wednesdays after 10:30am, I am either in my office, in class or somewhere on campus from 7:30am till about 7:30pm so if you need help, stop by my office or catch me anywhere on campus.)
Instructor's PHONE: 589-6301
Instructor's E-MAIL: pehng@morris.umn.edu
Course Web Page:
personal.morris.umn.edu/~pehng/Ma3411
COURSE MATERIALS:
Class notes, handouts
& textbook: Discrete Source: Prentice Hall Custom Program for Discrete Mathematics from
R. Johnsonbaugh's Discrete Math 7th Edition.
To facilitate in-class discussions, it is recommended that you do some reading of the text.
PRE-REQUISITES FOR THIS COURSE:
Willingness to work hard, to spend at least 8 hours weekly on this
course OUTSIDE of class time, & to think analytically.
COURSE OBJECTIVES/PURPOSES: to help students to:
MATERIAL COVERED:
1. Logic & Proofs.
Propositions; conditional propositions and logical equivalence;
quantifiers; proofs; mathematical induction.
2. Language of Mathematics.
Sets; sequences and strings; functions (plain, one-to-one,
onto, generating, special);
relations; equivalence relations;
matrices of relations.
3. Recurrence Relations.
(The discrete analog of differential equations).
Definitions of different types of recurrence relations;
solving recurrence relations; numerical approaches to special cases of
discrete dynamical systems;
applications.
4. Classical Combinatorics
Introduction to combinatorics;
basic principles of counting methods; permutations & combinations;
inclusion-exclusion principle;
generalized permutations and combinations;
algorithms for generating permutations & combinations;
the Pigeonhole Principle.
5. Applied and Modern Combinatorics
6. Students' Suggestions
(If time permits..., we will cover topics suggested by the class, if
the topics were not among those listed above.)
HOMEWORK:
There will be computer and written homework assigned and due on a
daily basis during the first portion of the semester and then
on a weekly basis after that. Occasionally students will be asked to present
their work on the board to the class.
Project:
There will be course project that includes a written report and
an oral presentation. For more information on topics and expectations,
see
www.morris.umn.edu/~pehng/Ma3411/proj.pdf , handout with a
detailed description of the project.
EXAMINATIONS:
There will be three in-class exams throughout the semester and a comprehensive
in-class final exam during finals week.
All exams
will be closed book/notes; any helpful information, if applicable,
will be
provided by the instructor.
ACADEMIC INTEGRITY and HONESTY:
Discussion of homework or assignments among students aids learning and is encouraged. However, each student is expected to submit his/her own work. No two homeworks should ever be identical on any
major part. No cooperation of any kind, or use of unauthorized notes, is allowed during examinations and quizzes.
Cheating, particularly on examinations, hurts students who are honestly earning
their grades by devaluing their achievements. It is every student's responsibility to help control academic honesty by
reporting it to the professor whenever they see it going on.
Students who violate UMM's academic integrity and honesty code will
face consequences according to University Policies which include
being expelled.
GRADING:
1. Three exams - 100 points each. 300 points
2. Final exam (Day, Dec xx at xpm till xpm as in the UMM Schedule bulletin) 200 points
3. Course Project (on real-world applications) 100 points
(See
Project Handout )
4. Homework - (written and computer). 100 points
Policies on homework, exams, and project.
EARNED GRADE | IF TOTAL PERCENTAGE EARNED x is |
A | 90 ≤ x ≤ 100 |
A- | 88 ≤ x ≤ 89 |
B+ | 86 ≤ x ≤ 87 |
B | 80 ≤ x ≤ 85 |
B- | 78 ≤ x ≤ 79 |
C+ | 76 ≤ x ≤ 77 |
C | 70 ≤ x ≤ 75 |
C- | 68 ≤ x ≤ 69 |
D+ | 66 ≤ x ≤ 67 |
D | 60 ≤ x ≤ 65 |
F | x ≤ 59 |
All-University Interpretation of Grades
A & A-: achievement that is outstanding relative to the level necessary to meet course requirements.
B, B+ & B-: achievement that is significantly above the level necessary to meet course requirements.
C, C+,C-: achievement that meets the course requirements in every respect.
D, D+: achievement that is worthy of credit even though it fails to meet fully the course requirements.
S : achievement that is satisfactory, which is equivalent to a C- or better (achievement required for an S is at the discretion of the
instructor but may be no lower than a C-).
F (or N) : Represents failure (or no credit) and signifies that the work was either (1) completed but at a level of achievement that is not
worthy of credit or (2) was not completed and there was no agreement between the instructor and the student that the student would be
awarded an I (see also I)
Academic dishonesty: academic dishonesty in any portion of the academic work for a course shall be grounds for awarding a grade of F or
N for the entire course.
I (Incomplete) Assigned at the discretion of the instructor when, due to extraordinary circumstances, e.g., hospitalization, a student is
prevented from completing the work of the course on time. Requires a written agreement between instructor and student.
For undergraduate courses, one credit is defined as equivalent to an average of three hours of learning effort per week (over a full
semester) necessary for an average student to achieve an average grade in the course. For example, a student taking a three credit course
that meets for three hours a week should expect to spend an additional six hours a week on coursework outside the classroom.
PLEASE FEEL WELCOME TO SEE ME OUTSIDE OF THE
CLASS, ANY TIME, IF YOU HAVE QUESTIONS, PROBLEMS, OR COMMENTS
PERTAINING THE COURSE WORK.
© 2001-2011 by Peh Ng
Last Modified Tuesday, July 01, 2014
Page URL: http://facultypages.morris.umn.edu/~pehng/Ma3411/syllabus.html
Back to Math 3411(Discrete & Combinatorial Mathematics) Homepage
.
The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.