YORK
UNIVERSITY
SC/MATH
1019
TEST
Name
3.0
A
#2
Student number
T h e t o t a l n u m b e r o f p o i n t s for t h e T e s t is 8 0 .
1.
( 5 + 1 0 p o i n t s ) (a) L e t / be the n t h F i b o n a c c i number.
Induction that
./l +
/S +
+
w h e n n is a
DEPARTMENT OF MATHEMATICS AND STATISTICS
YORK UNIVERSITY
MATH 1190 3.0, SUMMER S1 2013
INTRODUCTION TO SETS AND LOGIC
Test #2 (Monday, June 10, 2013)
Instructor: Dr. Igor Poliak:ov
Name (print)_ _ _ _ _ _ _ _ _ _ _ _ _ _ Student I. D. _ _ _ _ _ _ _
Instru
DEPARTMENT OF MATHEMATICS AND STATISTICS
YORK UNIVERSITY
MATH 1190 3.0, SUMMER S1 2013
INTRODUCTION TO SETS AND LOGIC
Test #1 (Tuesday, May~ 2013)
Instructor: Dr. Igor Poliak:ov
Name (print)_ _ _ _ _ _ _ _ _ _ _ _ _ _ Student I. D. _ _ _ _ _ _ _
Instructi
13 November 2013
NAME : HEMA BAHL
STUDENT # 212593869
ASSIGNMENT 4
Section 4.2
2. Convert the decimal expansion of each of these integers to a binary expansion.
a) 321
321
160
80
40
20
10
5
2
1
1
0
0
0
0
0
1 0
1
321 = (1 0100 0001)2
b) 1023
1023 = 1024 -
York University
Faculty of Science and Engineering
Math 1190 M
Class Tes
NAME (print): \
SIGNATURE:
./
STUDENT NU E v' 2' 1
Instructions:
1. Time allowed: 50 minutes.
2. NO CALCULATORS OR OTHER AIDS |
PERMITTED
3. Show your work. Your work must justify an
York University
Faculty of Science and Engineering],
Math 1190 M
Class Tes 1 $
NAME (print): AXE)
amily) (Giv '
SIGNATURE: K)
STUDENT NUMBER» 0
Instructions:
1. Time allowed: 50 minutes.
2. NO CALCULATORS OR OTHER AIDS Question Points |
PERMIT
York University
Faculty of Arts, Faculty of Science
Math 1190
Winter 2005
Class Test 1
NAME (print):
(Family)
(Given)
SIGNATURE:
STUDENT NUMBER:
Instructions:
1. Time allowed: 50 minutes
2. There are 6 questions on 6 pages.
3. Answer all questions.
4. You
York University
Faculty of Science and Engineering
Math 1190 M
Class Test 3
NAME (print):
STUDENT NUMBER:
Instructions:
1. Time allowed: 50 minutes.
Question Points Marks l
2. NO CALCULATORS OR OTHER AIDS
PERMITTED
3. Show your work. Your work mus
Mathematics 1190B Introduction to Sets and Logic
Midterm Examination A
October 19, 2012
Instructions: Do all problems. Present your solutions in the accompanying booklet in
the order that they appear on this paper. No notes, crib sheets or books are allow
Mathematics 1190A Introduction to Sets and Logic
Midterm Examination A
October 19, 2012
Instructions: Do all problems. Present your solutions in the accompanying booklet in
the order that they appear on this paper. No notes, crib sheets or books are allow
Mathematics 1190B Introduction to Sets and Logic
Second Midterm Examination B
November 23, 2012
Instructions: Do all problems. Present your solutions in the accompanying booklet in
the order that they appear on this paper. No notes, crib sheets or books a
Mathematics 1190B Introduction to Sets and Logic
Second Midterm Examination A
November 23, 2012
Instructions: Do all problems. Present your solutions in the accompanying booklet in
the order that they appear on this paper. No notes, crib sheets or books a
4 November 2013
Name : HEMA BAHL
Student #212593869
MATH 1190
ASSIGNMENT- 3
Section 2.3
Q 22. Determine whether each of these functions is a bijection from R to R.
a) f (x) = 3x + 4
This function is both one-to-one and onto, therefore it is a bijection.
b
22. Prove the second associative law from Table 1 by showing
that if A, B, and Care sets, then A(BC)=
(AB)C.
First we show that every element of the left-hand side must be in the right-hand side as well. If x
A(B C ) , then x must be in A and also in B C
How to Pass Discrete Mathematics I
Discrete Mathematics is usually the first math class students take that requires students to understand how to read and write mathematics. In particular, it is often the first class students are required to write proofs.