Rose-Hulman - Department of Mathematics - Course Syllabus
MA275 - Discrete and Combinatorial Algebra I -
Parts of the web page to be completed or determined
by the instructor are in green.
Catalogue Description and Prerequisites
MA 275 Discrete and Combinatorial Algebra I 4R-0L-4C F
An introduction to enumeration and discrete structures. Permutations, combinations
and the pigeonhole principle. Elementary mathematical logic and proof techniques,
including mathematical induction. Properties of the integers. Set theory. Introduction
Prerequisite: None, though it is normal that a student has completed
part of the calculus sequence first.
- Introduce students to discrete mathematics, covering especially the topics
noted below .
- Improve mathematical modeling and analytical problem solving skills, especially with discrete mathematics topics.
- Develop ability to communicate mathematically.
- Introduce applications of discrete mathematics, especially to science and engineering.
Textbook and other required materials
Textbook: Discrete and Combinatorial Mathematics, an Applied Introduction
5'th edition. Ralph Grimaldi, Addison-Wesley
- Set Theory
- Proof Techniques
- Proof by contradiction
- Proof by contrapositive
- Counting Techniques
- Pigeonhole principle
- Properties of integers
Course Requirements and Policies
The following policies and requirements will apply to all sections and classes:
Final Exam Policy
The final exam will contain a large common part (approx 80%) with individual instructors adding additional questions. Students shall be restricted to the use of calculators and note cards, in the same way in all sections.
Individual Instructor Policies
Your instructor will determine the following for your class:
*Note that most instructors will enforce some type of grade
penalty for students with more than four unexcused absences.
- the grading scheme, based on the various course components.
- the number and format of hour exams, quizzes, homework
assignments, in class assignments, and projects,
- the policies governing the work items above, e.g.,
whether the computer will be used, what collaboration is allowed, and the
format of assignments.
- all policies for classroom procedure, including group
work, class participation, laptop use and attendance*.