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**Course description:** Basic proof techniques, propositional and
predicate logic, induction
and invariants, program correctness proofs, simple Big-Oh analysis of
algorithms, set theory, introductory graph theory, matrices, and
recurrence relations. Prerequisites: none.

4 credits.

**Course learning objectives:**

- To be able to construct formal systems that model real-life problems and to translate between the models and the problems that they describe.
- To know and be able to apply various proof methods, including induction proofs; to understand applicability of a proof technique to a problem.
- To get basic understanding of notions and concepts used in later CSci courses, including logical circuits, program invariants, Big-Oh notation, set theory, relations, graph theory, matrices.

On this page you will find information about:

When: | M,W,F 2:15-3:20pm |

Where: | Sci 1030. |

Elena Machkasova

Office: Sci 2325, Phone: 6308

Office hours: M,F 9-10am, Tu,Th 11am-noon, Tu,Th 2-3pm, or arrange by
e-mail.

elenam at morris.umn.edu

Discrete Mathematics with Applications
by Susanna S. Epp (3rd edition) (available at the
University bookstore).

In addition to the book I may occasionally assign extra reading material. These materials will be available at the resources page of the course web site, I will also distribute copies in class.

In addition, you **must** check your UMM e-mail
frequently (at least
once a day). I often send clarifications for problem sets and other
important information by e-mail.

The grade for this course will be based on the following:

Problem sets | 35% |

In-class quizzes | 10% |

Midterm exam | 25% |

Final exam | 30% |

Minor (up to 5%) adjustments may be made to this grade distribution based on how the course progresses. Such adjustments (if any) will be announced in class.

Basic Grading Scheme: (100-90)% A; (90-80)% B; (80-70)% C; (70-60)% D; below 60% F. Small adjustments may be made for particularly good final exams, class average and other signs of individual effort.

A | achievement that is outstanding relative to the level necessary to meet course requirements. |

B | achievement that is significantly above the level necessary to meet course requirements. |

C | achievement that meets the course requirements in every respect. |

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) |

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 policy on late and missed work please see the syllabus.

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 four credit course that meets for three hours a week should expect to spend an additional nine hours a week on coursework outside the classroom.

Scholastic dishonesty is defined in the University
Student Conduct Code. If in doubt as to how the code is
applicable to a specific assignment or other course-related work,
please **ask**.

Academic dishonesty in any portion of the academic work for a course shall be grounds for a penalty, up to and including awarding a grade of F or N for the entire course.

Problem sets are individual work, unless specifically designated as
work in groups. For guidelines on work in groups
please see the syllabus. Discussion with students other than
those in your group (or anyone not in this class) should be limited to general
approaches to the
problem. All such discussions
as well as use of sources other than the textbook and the handouts
given in class **must be acknowledged** in the beginning of the problem
solution.

Students are expected to interact with the instructor and other students with respect and courtesy. Students should attend every class session prepared to learn and work. Participation in class is expected, which includes both listening and speaking up. Students are expected to ask questions about the course material as needed, either in class or during the instructor's office hours, or by e-mail.

Do not use cell phones or other loud or otherwise disruptive equipment in class without the instructor's consent. Students whose behavior is disruptive either to the instructor or to other students may be asked to leave. Students whose behavior suggests the need for counseling or other assistance may be referred to counseling services. Students whose behavior violates the University Student Conduct Code will be subject to disciplinary action.

It is University policy to provide reasonable accommodations to
students with disabilities. This publication/material is available in
alternative formats to persons with disabilities upon request.

Students who may benefit from these services are **strongly
encouraged**
to contact the Disability Services office, 589-6178,
Room 362 Briggs Library to discuss accommodation needs.

University policy prohibits sexual harassment as defined by the University of Minnesota Regents' policy.

The views and opinions expressed on this page and on the linked course pages
are strictly those of
the page author. The contents of this page have not been reviewed or
approved by the University of Minnesota.