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## [CMSC 250] - Midterm Exam Guide - Comprehensive Notes for the exam (22 pages long!)

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Frequently-seen exam questions from 2014 - 2018.

## CMSC 250 Lecture Notes - Lecture 8: Surjective Function, Injective Function

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There can be more than 1, but at least 1 has to map to it. A surjective function, or onto function is a function where for every (cid:1877) value, ther

View Document## CMSC 250 Lecture 2: More Logic (Revised)

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Surely there must be other types of logic out there! Or perhaps you"ve had the joy of having a day where everything just goes perfectly! Well in logic,

View Document## CMSC 250 Lecture Notes - Lecture 10: Modular Arithmetic, Mathematical Induction

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M divides (a-b) means that m is a factor of (a-b) If you still have no idea what i"m talking about, just think of it as: we are taking a large. A seque

View Document## CMSC 250 Lecture Notes - Lecture 7: Subset, Empty Set

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To prove an existential statement true: find one number that works. Prove false: prove (cid:4666) (cid:1876) (cid:4667)[ (cid:1828)(cid:1864)(cid:1853)

View Document## CMSC 250 Lecture Notes - Lecture 5: Vacuous Truth, Prime Number, Empty Set

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There are two quantifiers we are going to talk about: there exists, for all. These are used in mathematical statements and we can use them in logic as

View Document## CMSC 250 Lecture Notes - Lecture 3: Logic Gate, And Gate, Or Gate

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We"ve seen the process of going from formulas to truth tables. The answer is easier than you may think! Take a look at the following truth table: We ca

View Document## CMSC 250 Lecture 9: Number Theory/Basic Proofs

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Cmsc250 lecture 9: floor and ceiling, number theory. The floor of a number is the largest integer such that (cid:3409) where is the number you are give

View Document## CMSC 250 Lecture Notes - Lecture 1: False Premise

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Cmsc250 lecture 1: prepositional logic: we use lower case letters, letters hold values of 1 (true) or 0 (false, basic operations, conjunction (and, dis

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## [CMSC 250] - Midterm Exam Guide - Comprehensive Notes for the exam (22 pages long!)

OC111400722 Page

3

## CMSC 250 Lecture Notes - Lecture 8: Surjective Function, Injective Function

OC11140072 Page

0

There can be more than 1, but at least 1 has to map to it. A surjective function, or onto function is a function where for every (cid:1877) value, ther

View Document## CMSC 250 Study Guide - Midterm Guide: Prime Number, Prime Factor

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This is a classic proof by weak induction. Step 3: now we have to prove that p(k+1) is true ie. for any (cid:883): pro(cid:448)e that (cid:1005)+(cid:1

View Document## CMSC 250 Lecture 2: More Logic (Revised)

OC11140072 Page

0

Surely there must be other types of logic out there! Or perhaps you"ve had the joy of having a day where everything just goes perfectly! Well in logic,

View Document## CMSC 250 Lecture Notes - Lecture 10: Modular Arithmetic, Mathematical Induction

OC11140073 Page

0

M divides (a-b) means that m is a factor of (a-b) If you still have no idea what i"m talking about, just think of it as: we are taking a large. A seque

View Document## CMSC 250 Lecture Notes - Lecture 7: Subset, Empty Set

OC11140073 Page

0

To prove an existential statement true: find one number that works. Prove false: prove (cid:4666) (cid:1876) (cid:4667)[ (cid:1828)(cid:1864)(cid:1853)

View Document## CMSC 250 Lecture Notes - Lecture 5: Vacuous Truth, Prime Number, Empty Set

OC11140073 Page

0

There are two quantifiers we are going to talk about: there exists, for all. These are used in mathematical statements and we can use them in logic as

View Document## CMSC 250 Lecture Notes - Lecture 3: Logic Gate, And Gate, Or Gate

OC11140073 Page

0

We"ve seen the process of going from formulas to truth tables. The answer is easier than you may think! Take a look at the following truth table: We ca

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