MATH 150 Discrete Mathematics
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The main objective of the MATH 150 Discrete Mathematics course is to understand and make use of discrete structures that are backbones of the computer science. In specific, this unit is meant to introduce students about logic, proofs, sets, functions, relations, counting, and probability, with the main focus on the applications in computer science.
The course is quite wide and encompasses numerous topics, such as, mathematical reasoning, logic, introduction to proofs, mathematical induction, algorithms, set operations, introduction to number theory, techniques of counting, recurrence relations, graphs, as well as particular questions provided by the 'Towers of Hanoi', and Euler's '7 bridges of Konigsberg problem.'
Course learning goals: Students will:
- Explain an understanding and implement the concepts and methods for expressing the mathematical ideas noticeably, precisely and unmistakably.
- Explain a proficiency in examining the argument's form to find out whether the truth of the conclusion follows necessarily from the truth of the premises.
- Implement the logic of quantified statements and the precision of thought along with the language to attain a mathematical certainty.
- Explain expertise in discovering and characterizing regular patterns related with repeated processes.
- Implement the concept of equivalence relations as utilized in the modular arithmetic and cryptography.
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