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Size: 786 KB

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Categories:

1. Home Study
2. Visualization
3. Games
4. Class or Laboratory
5. Math and Computers
6. Course

Subjects:

1. Logic
2. Permutations
3. Counting
4. Probability

Title: Discrete Mathematics 1: Sets, Functions, and Relations: Basic Tools

Book Description:
The first half of the course (6-7 weeks) covers the topics in the sequence of lectures:

1. Sets as Conceptual Tools
2. Functions Sets and Logic
3. Composition of Functions
4. Operations on Sets
5. Permutations of Sets
6. Boolean Algebra of Sets
7. Graphs and Directed Sets
8. Relations
9. Order and Cardinality
10. Algebra of Relations

The following lab activities accompany this text:

1. Set Constructor
2. Workshop
3. Set Viewer
4. Office
5. Operations Lab Set
6. Safari Game
7. Relations Viewer

Author: James White

Contained in Discrete Mathematics Course.

Suggested Use: First half of a 14-week course in Discrete Mathematics. The above list reproduces the lectures and laboratories (Readings) and the Laboratory Instructions for the first half of a two part 14-week course in Discrete Mathematics. The Readings are reproduced first. These guide the student through the sequence of topics in the course.
The lectures and laboratories reproduced here also appear in the WorkBook (online) and in the accompanying documentation, and may be printed individually. After the readings, we have reproduced the Laboratory Instructions. These are meant to be read separately from the Readings.
These instructions also appear in the WorkBook in the various laboratory environments under the buttons labeled: Instructions.
The documentation for the second part of this course: Finite Sets: Counting, Recursion, and Logic: Next Steps appears in Discrete Mathematics 2.

The course is an experiment in interactive mathematics, and it follows the Text: Discrete Mathematics, by Norman Biggs, Oxford University Press. It contains a Set/Graph Theory Language that supports many of the explorations, and it makes MathScript available to readers so that they may design their own programs to explore various aspects of the subject. Teachers may create their own online lectures, and follow different texts. The documentation is intended to be a guide for the teacher into the interactive explorations. It is hoped that in any case the laboratory environments will be useful for them in the design of their interactive courses. To help fix ideas, the above was the syllabus for the course offered by James White at California State University, at Monterey Bay, Fall, 1997.

Topics: set theory, logic, propositional calculus, boolean algebra, relations, function composition, permutations, demorgan's laws, order, cardinality, digraphs

Number of Pages: 22

Animation: Yes

Grade Level: