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CSC 133 - Discrete Mathematical Structures

CSC 133 - Discrete Mathematical Structures. Dr. Karl Ricanek Jr. Quick Info. Dr. Karl Ricanek Jr Web www.uncw.edu/people/ricanekk Contact CIS 2042 ricanekk@uncw.edu 962-4261 fb: ricanekk and skype: karl.ricanek Office Hours: TR 9:45am-11:00am and by appointment

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CSC 133 - Discrete Mathematical Structures

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  1. CSC 133 - Discrete Mathematical Structures Dr. Karl Ricanek Jr

  2. Quick Info • Dr. Karl Ricanek Jr • Web • www.uncw.edu/people/ricanekk • Contact • CIS 2042 • ricanekk@uncw.edu • 962-4261 • fb: ricanekk and skype: karl.ricanek • Office Hours: • TR 9:45am-11:00am and • by appointment • Teaching Assistant: Paul Martin • Email: pgm0543 • Location: CI 2055

  3. What is CSC 133? • Discrete Mathematical Structures • Focus on • Propositional and predicate logic • Proofs (deduction, induction, contradiction) • Set theory. • Boolean algebra. • Recursion. • Graphs and Trees. • Counting and probability.

  4. How Do I Get an ‘A’? • Come to every class. • Attendance is required. • Read the textbook. • Reading the textbook is required. • Do homeworks on time. • Make use of office hours, TA, and fellow students. • Send me email early and often.

  5. Course and Grading Criteria • Attendance • Your attendance grade will be computed by taking the number of classes attended and dividing by the total number of classes (minus 2).  This grade counts 1/6 of your total grade.  • Quizzes 1/6 … drop 2 lowest • 2 Midterms …1/6 each • Final 1/6 • or (2/6 as it will replace your lowest midterm score) • Homework projects … 1/6

  6. The Required Text • Discrete Mathematics with Applications, 3rd Edition,  Susanna S. Epp.

  7. An Overview of Each Topic • Logic • Proofs • Functions • Recursion • Graphs • Probability

  8. Logic • If you know a set of statements are true, what other statements can you also deduce are true? • If I tell you that all men are mortal, and Socrates is a man, what can you deduce?

  9. Digital Logic

  10. Proofs • What is a proof? • How is programming like writing a proof?

  11. Functions • What is a function? • What if a function calls itself? • That’s recursion!

  12. How good is a function at doing its job? • What do we mean by “good”?

  13. Graphs (and Trees)

  14. Probability • What is the likelihood of an event occurring? • What is randomness? • Statistics can be described as the study of how to make inference and decisions in the face of uncertainty and variability

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