Math 1AA3/1ZB3
1st Sample Test #2
Name:_
(Last Name)
(First Name)
Student Number:_ Tutorial Number:_
This test consists of 20 multiple choice questions worth 1 mark each (no part marks), and 1
question worth 1 mark (no part marks) on proper computer card
Math 1AA3/1ZB3
2nd Sample Test for Suggested Problems #3
Name:
(Last Name) (FirstName) { : Q/Stvtg
Student Number: Tutorial Number:
This test consists of 20 multiple choice questions worth 1 mark each (no part marks), and 1
question worth 1 mark (no
PRACTICETEST#2ANSWERGUIDEPARTA
Question 9:00V1
1
C
3
C
4
C
6
A
9
D
11
D
12
D
15
A
18
C
23
C
24
E
29
C
30
B
ShortAnswer
1. a.
2001
2002
2003
NominalGDP
$7000
$6800
$7000
RealGDP
$4000
$6800
$9000
b. 2001deflator=175;2002deflator=100;inflationrate=43%
2.
a
ECON 1BB3 Introduction to Macroeconomics
10 Principles of Economics
HOW PEOPLE MAKE DECISIONS-Scarcity: Resource
Allocation leading to efficiency.
1. People face tradeoffs
2. The cost of something is what you give up to get itOpportunity Cost NO FREE LUNC
Series Convergence & Divergence Summary:
Special Series with Known Convergence:
p-series:
1 np
converges if p > 1
and
diverges if p 1
The Only Two Types of (non-power) series, in this course, for which we that we can compute
exact values: Geometric Series
Core Derivative Rules Summary
If c is a real constant, and u = f(x), v = g(x) are real functions, then:
d
u'=
u,
dx
u ' =
(u v)' = u ' v '
(cu )' = (c) u '
dx 2
u,
u
( )
u ' = u 'v v 'u
v
v2
f '( g ( x) g '( x)
d
df (u ) du
OR
f (u ) =
dx
du dx
d
f '( x)
Math 1ZB3
1st Sample Test #1
Name:_
(Last Name)
(First Name)
Student Number:_ Tutorial Number:_
This test consists of 27 multiple choice questions worth 1 mark each (no part marks), and 1
question worth 1 mark (no part marks) on proper computer card filli
Math 1AA3/1ZB3
1st Sample Test for Suggested Problems #3
Name:_
(Last Name)
(First Name)
Student Number:_ Tutorial Number:_
This test consists of 19 multiple choice questions worth 1 mark each (no part marks), and 1
question worth 1 mark (no part marks) o
Name: _
Student Number:_
MATHEMATICS 1AA3/1ZB3
Winter Session, 2015
Test #1, Early Version 1
TERM TEST
DAY CLASS
DURATION OF TEST: 90 min (1.5 hrs.)
MCMASTER UNIVERSITY TERM TEST
A. French, A. Hildum, L. Long,
A. Nicas, C. McLean, R. Shen.
Monday, Februar
Tests for Convergence of Series
1) Use the comparison test to conrm the statements in the following exercises.
1
n=4 n
1.
1
n=4 n3
diverges, so
diverges.
Answer: Let an = 1/(n 3), for n 4. Since n 3 < n, we have 1/(n 3) > 1/n, so
an >
1
n=4 n
The harmonic
Math 1AA3/1ZB3
1st Sample Test #1
Name:_
(Last Name)
(First Name)
Student Number:_ Tutorial Number:_
This test consists of 20 multiple choice questions worth 1 mark each (no part marks), and 1
question worth 1 mark (no part marks) on proper computer card
McMaster University Math 1AA3/1ZB3 Summer 2013
PRACTICE Midterm
July 15, 2013
Duration: 120 minutes
Instructor: Owen Baker
Name:
Student ID Number:
This test paper is printed on both sides of the page. There are 20 questions and 7 pages. You
are responsib
Question:
A triangular plate with base 4 meters across and 5
meters tall (see diagram), is submerged just under
water, tip pointing downwards. What is the total
water pressure on one face of the plate?
Solution:
We know at any given depth the water pressu