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All Educational Materials for EECS 1019 at York University (YORKU)

YORKEECS 1019John Michael MachacekFall

EECS 1019 Study Guide - Fall 2018, Comprehensive Term Test Notes - Integer, Contraposition, Empty Set

29 Page
5 Nov 2018
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Study Guide - Fall 2018, Comprehensive Term Test Notes - Integer, Contraposition, Empty Set

26 Page
5 Nov 2018
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Study Guide - Comprehensive Final Exam Guide - Integer, Tautology (Logic), Empty Set

29 Page
20 Nov 2018
A proposition is a declarative sentence which is either true or false but not both. Yes p, q, r will be used to denote propositions. What operations ca
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YORKEECS 1019Eli BrettlerFall

EECS 1019 Study Guide - Comprehensive Final Exam Guide - Exchange Rate, International, Dollar

82 Page
20 Nov 2018
It might seem obvious to you that the ease of use of a graphical interface makes this the ideal interface for most users: for the typical end user, the
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: Holda, Burh, Irrational Number

3 Page
26 Jan 2015
Instructor: s. datta: (6 points) sets (a) (1+2 points) construct venn diagrams for each of these combinations of the sets a, b, c. (i) a (b c) (ii) a b
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Final Guide: Loop Invariant, Bijection, Rational Number

3 Page
26 Jan 2015
Instructor: s. datta: (2 points) evaluate the in nite geometric series. Note that the left hand side is 0. 99 . Use the answer above to ll in the blank
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YORKEECS 1019Igor PoliakovFall

Test_2_1019_Solutions_.pdf

9 Page
12 Oct 2014
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YORKEECS 1019AllFall

EECS 1019 Study Guide - Midterm Guide: Prime Number, Bijection, Composite Number

4 Page
16 Oct 2018
Math/eecs 1019 third test (version 1) fall 2014. Solutions: (3 points) find the sum 1*2+2*3+3*4+. 99(cid:88) i=1 i(i + 1) (i2 + i) = 33 50 199 + 99 50.
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YORKEECS 1019AllFall

EECS 1019 Study Guide - Final Guide: Bijection, Binomial Theorem, Loop Invariant

3 Page
16 Oct 2018
Instructor: s. datta: (2 points) evaluate the in nite geometric series. Note that the left hand side is 0. 99 . Use the answer above to ll in the blank
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: Arithmetic Progression, Opata Language

5 Page
26 Jan 2015
[2+2 points] functions: find g 1(3) given g(x) = 3x+1. Solution: we have to nd the value of x such that g(x) = 3. So we can substitute g(x) = 3 and sol
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YORKEECS 1019Jarek GryzFall

EECS 1019 Study Guide - Midterm Guide: Mathematical Induction

4 Page
22 Oct 2019
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: Thai Baht, Iden, Liquid Oxygen

3 Page
7 Jul 2019
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: Irrational Number, Contraposition, Rational Number

4 Page
7 Jul 2019
Instructor: s. datta: (6 points) let g : z z z z be de ned by g(x, y) = (x + y, 3y). Recall that to prove that a function is injective, we must show th
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: First-Order Logic, Irrational Number, Contraposition

4 Page
7 Jul 2019
Winter 2017 - solutions instructor: s. datta: (6 points) let g : z z z z be de ned by g(x, y) = (2x, x + y). Recall that to prove that a function is in
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: Natural Number, Modus Tollens

4 Page
7 Jul 2019
Math/eecs 1028 winter 2017: first test (version 2) solutions. Instructor: s. datta: (3 points) construct a truth table for the implication (p q) ( p q)
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YORKEECS 1019AllFall

EECS1019 1019test2v1-sol

3 Page
31 Jan 2019
Instructor: s. datta: (6 points) sets (a) (1+2 points) construct venn diagrams for each of these combinations of the sets a, b, c. (i) a (b c) (ii) a b
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YORKEECS 1019AllFall

EECS1019 sample1019final-sol

3 Page
31 Jan 2019
Instructor: s. datta: (2 points) evaluate the in nite geometric series. Note that the left hand side is 0. 99 . Use the answer above to ll in the blank
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YORKEECS 1019AllFall

EECS1019 1019test2v2-sol

4 Page
31 Jan 2019
Instructor: s. datta: (6 points) sets (a) (1+2 points) construct venn diagrams for each of these combinations of the sets a, b, c. (i) a (b c) (ii) a b
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YORKEECS 1019AllFall

EECS1019 1019test1v1-sol

3 Page
31 Jan 2019
Instructor: s. datta: (6 points) propositional logic. (a) (2 points) construct a truth table for the implication p q. T (b) (2 points) let p be the pro
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YORKEECS 1019AllFall

EECS 1019 Study Guide - Midterm Guide: Prime Number, Bijection, Composite Number

4 Page
16 Oct 2018
Math/eecs 1019 third test (version 1) fall 2014. Solutions: (3 points) find the sum 1*2+2*3+3*4+. 99(cid:88) i=1 i(i + 1) (i2 + i) = 33 50 199 + 99 50.
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Study Guide - Fall 2018, Comprehensive Term Test Notes - Integer, Contraposition, Empty Set

29 Page
5 Nov 2018
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Study Guide - Fall 2018, Comprehensive Term Test Notes - Integer, Contraposition, Empty Set

26 Page
5 Nov 2018
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture Notes - Lecture 9: Bijection, Surjective Function

3 Page
6 Oct 2018
Chapter 2: basic structures sets, functions, sequences, sum and matrices. Given two non-empty sets a and b a function f. From a to b is an assignment o
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture Notes - Lecture 7: Empty Set, Contraposition

3 Page
27 Sep 2018
1. 1 #38 f) construct truth table for (p q) r p q. 1. 3 #18 determine whether ( p (p q)) q is a tautology p q p p q p (p q) q. Not a tautology ( p (p q
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture 6: Set Operations + Intervals

4 Page
26 Sep 2018
Chapter 2: basic structures sets, functions, sequences, sum and matrices. Let a and b be two sets inside a universal set u. Union: a b = { x: x a x b}
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture 4: Proof by contrapositive + contradiction

3 Page
24 Sep 2018
Proof by cases: case (i): x = 0. Chapter 1: the foundation logic + proof. Disproving existence + proof by cases e. g: let x be from d = z. If x = 0, th
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture Notes - Lecture 9: Bijection, Surjective Function

3 Page
6 Oct 2018
Chapter 2: basic structures sets, functions, sequences, sum and matrices. Given two non-empty sets a and b a function f. From a to b is an assignment o
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture Notes - Fall 2018 Lecture 2 - Truth table, Propositional function, Distributive property

4 Page
21 Sep 2018
Chapter 1: the foundation logic + proof. A tautology is a compound proposition which is always true. A contradiction is a compound proposition which is
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture Notes - Fall 2018 Lecture 1 - Contraposition, Logical biconditional, Sentence (linguistics)

3 Page
21 Sep 2018
Chapter 1: the foundation logic + proof. A proposition is a declarative sentence which is either true or false but not both. Yes p, q, r will be used t
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture Notes - Lecture 7: Empty Set, Contraposition

3 Page
27 Sep 2018
1. 1 #38 f) construct truth table for (p q) r p q. 1. 3 #18 determine whether ( p (p q)) q is a tautology p q p p q p (p q) q. Not a tautology ( p (p q
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture Notes - Lecture 5: Empty Set, Natural Number

3 Page
24 Sep 2018
Chapter 2: basic structures sets, functions, sequences, sum and matrices. A set is a collection of objects called members or elements. Neither the orde
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture 6: Set Operations + Intervals

4 Page
26 Sep 2018
Chapter 2: basic structures sets, functions, sequences, sum and matrices. Let a and b be two sets inside a universal set u. Union: a b = { x: x a x b}
View Document
YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture 4: Proof by contrapositive + contradiction

3 Page
24 Sep 2018
Proof by cases: case (i): x = 0. Chapter 1: the foundation logic + proof. Disproving existence + proof by cases e. g: let x be from d = z. If x = 0, th
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YORKEECS 1019Valeri MichkineSpring

EECS 1019 Lecture 1: 1.1 Propositional Logic EECS 1019 Part1

2 Page
28 Apr 2018
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture Notes - Lecture 3: Modus Tollens, Modus Ponens, Hypothetical Syllogism

4 Page
22 Sep 2018
Chapter 1: the foundation logic + proof. We now start to study mathematical proofs. We want to start from a premise (some given information) and make a
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YORKEECS 1019Eli BrettlerFall

EECS 1019 Lecture Notes - Lecture 26: Cash Flow

2 Page
15 Jun 2018
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YORKEECS 1019Valeri MichkineSpring

EECS 1019 Chapter 1: 1.1 EECS 1019

2 Page
24 Jan 2018
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YORKEECS 1019Valeri MichkineSpring

EECS 1019 Chapter 1: 1.1 Eecs 1019

2 Page
22 Jan 2018
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YORKEECS 1019Igor PoliakovFall

Test_1_1019_Solutions_.pdf

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YORKEECS 1019John Michael MachacekFall

EECS 1019 Study Guide - Comprehensive Final Exam Guide - Integer, Tautology (Logic), Empty Set

29 Page
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A proposition is a declarative sentence which is either true or false but not both. Yes p, q, r will be used to denote propositions. What operations ca
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YORKEECS 1019AllFall

EECS 1019 Study Guide - Midterm Guide: Mathematical Induction, Cardinality

5 Page
16 Oct 2018
Instructions: if you have not done so, put away all books, papers, cell phones and pagers. Write your name and student number now: check that this exam
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Study Guide - Fall 2018, Comprehensive Term Test Notes - Integer, Contraposition, Empty Set

26 Page
5 Nov 2018
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Final Guide: Loop Invariant, Bijection, Rational Number

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Instructor: s. datta: (2 points) evaluate the in nite geometric series. Note that the left hand side is 0. 99 . Use the answer above to ll in the blank
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Study Guide - Fall 2018, Comprehensive Term Test Notes - Integer, Contraposition, Empty Set

29 Page
5 Nov 2018
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: Negative Number, Mathematical Induction, Cardinality

2 Page
26 Jan 2015
Nov 21, 2011: (15 points) cardinality: determine which of these sets is countably in nite, or uncountable. For those that are countably in nite, exhibi
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YORKEECS 1019AllFall

EECS 1019 Study Guide - Midterm Guide: Mathematical Induction, Prime Number, Bijection

3 Page
16 Oct 2018
Math/eecs 1019 third test (version 2) fall 2014. Solutions: (3 points) if x is an integer and 7 divides 3x + 2, prove that 7 also divides 15x2 11x 14.
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YORKEECS 1019John Michael MachacekFall

EECS 1019 Lecture Notes - Lecture 9: Bijection, Surjective Function

3 Page
6 Oct 2018
Chapter 2: basic structures sets, functions, sequences, sum and matrices. Given two non-empty sets a and b a function f. From a to b is an assignment o
View Document
YORKEECS 1019AllFall

EECS 1019 Midterm: EECS1019 Term Test 2 2011 Fall Question

5 Page
16 Oct 2018
Instructions: if you have not done so, put away all books, papers, cell phones and pagers. Write your name and student number now: check that this exam
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YORKEECS 1019Jarek GryzFall

EECS 1019 Study Guide - Midterm Guide: Mathematical Induction

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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: Irrational Number, Contraposition, Rational Number

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Instructor: s. datta: (6 points) let g : z z z z be de ned by g(x, y) = (x + y, 3y). Recall that to prove that a function is injective, we must show th
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: First-Order Logic, Irrational Number, Contraposition

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Winter 2017 - solutions instructor: s. datta: (6 points) let g : z z z z be de ned by g(x, y) = (2x, x + y). Recall that to prove that a function is in
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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: Thai Baht, Iden, Liquid Oxygen

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YORKEECS 1019Suprakash DattaFall

EECS 1019 Study Guide - Midterm Guide: Natural Number, Modus Tollens

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Math/eecs 1028 winter 2017: first test (version 2) solutions. Instructor: s. datta: (3 points) construct a truth table for the implication (p q) ( p q)
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YORKEECS 1019AllFall

EECS1019 sample1019final-sol

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31 Jan 2019
Instructor: s. datta: (2 points) evaluate the in nite geometric series. Note that the left hand side is 0. 99 . Use the answer above to ll in the blank
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YORKEECS 1019AllFall

EECS1019 1019test2v2-sol

4 Page
31 Jan 2019
Instructor: s. datta: (6 points) sets (a) (1+2 points) construct venn diagrams for each of these combinations of the sets a, b, c. (i) a (b c) (ii) a b
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YORKEECS 1019AllFall

EECS1019 1019test2v1-sol

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Instructor: s. datta: (6 points) sets (a) (1+2 points) construct venn diagrams for each of these combinations of the sets a, b, c. (i) a (b c) (ii) a b
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YORKEECS 1019AllFall

EECS1019 1019test1v1-sol

3 Page
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Instructor: s. datta: (6 points) propositional logic. (a) (2 points) construct a truth table for the implication p q. T (b) (2 points) let p be the pro
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YORKEECS 1019Jarek GryzFall

EECS 1019 Lecture 15: recurrence relations 8.2

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