CSCV 345 Discrete Structures
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The CSCV 345 Discrete Structures course is basically the introduction and analysis of algorithms and characteristics of discrete structures. The course topics include algorithmic analysis techniques, recursive relationships, structural induction, hierarchical structure, graphs, hashing, and sorting.
The course, as well provides a clear and easy-to-understand introduction to discrete mathematics, combining theory with practice. Unlike the mathematical form, which describes a continuously changing process, discrete mathematics describes a process consisting of a series of discrete steps. The main topics we cover in this course are one-component sets, mathematical logic, induction, and proofs. We will also discuss counting theory, probability, recursion, graphs, trees, and finite state machines.
As you begin this course, it is important to understand the terms "sole membership" and "discrete member". "Single membership" refers to things that are grouped into only one set, and the system can only be in one state at a time and at the same hierarchical level. Likewise, "discrete" refers to those that are separately separate and distinct. Everything can only be in one group or in one state at a time. This is the result of the Aristotelian philosophy that membership has only two values: 0 or 1. The answer is "no" or "yes", "yes" or "no", "0% membership" or "100% membership", completely in the set or condition, or not at all. No shades of gray. This is in contrast to fuzzy logic (due to Lofty Zade), which can be a member of any set to some extent, and can also be in a certain state. Membership is measured as a percentage, which adds up to 100%. However, even in fuzzy logic (multidimensional, multilevel, non-discrete logic), a clear decision will ultimately be made as to whether or not any specific action should be taken. For this course, it is enough to understand the difference between monomorphic logic and polymorphic logic.
By studying each part of this course, you will lay the necessary mathematical foundation for more professional computer science knowledge (including data structure, algorithm, cryptography, and compiler design). Upon completion of this course, you will have the mathematics required to advance your study of the science and technology that are the foundation of the computer age.
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