Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Math 1M03
1st Sample Test #4
Name:_
(Last Name)
(First Name)
Student Number:_
This test consists of 11 multiple choice questions worth 1 mark each (no part marks), and 1
question worth 1 mark (no part marks) on proper computer card filling. All questions
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
MATH 1M03: Test 3  Version 1
Instructors: Bays, Lozinski, Moore
Date: March 22, 2012  Group B
Duration: 85 min.
Name:
ID #:
Instructions:
This test paper contains 15 multiple choice questions printed on both sides of the page.
The questions are on pages
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Infinite Limits
These kinds of limit will show up fairly regularly in later sections and in other courses
and so youll need to be able to deal with them when you run across them.
The first thing we should probably do here is to define just what we mean wh
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Higher Order Derivatives
Lets start this section with the following function.
By this point we should be able to differentiate this function without any problems.
Doing this we get,
Now, this is a function and so it can be differentiated. Here is the nota
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Product and Quotient Rule
In the previous section we noted that we had to be careful when differentiating products
or quotients. Its now time to look at products and quotients and see why.
First lets take a look at why we have to be careful with products
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Optimization
In this section we are going to look at optimization problems. In optimization problems
we are looking for the largest value or the smallest value that a function can take. We
saw how to solve one kind of optimization problem in the Absolute
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Math 1M03
1st Sample Test #2
Name:_
(Last Name)
(First Name)
Student 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 filling. All questions
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Math 1M03
1st Sample Test #1
Name:_
(Last Name)
(First Name)
Student 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 filling. All questions
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Math 1M03
1st Sample Test #3
Name:_
(Last Name)
(First Name)
Student 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 filling. All questions
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Derivatives of Exponential and Logarithm Functions
The next set of functions that we want to take a look at are exponential and logarithm
functions. The most common exponential and logarithm functions in a calculus course
are the natural exponential funct
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Related Rates
In this section we are going to look at an application of implicit differentiation. Most of
the applications of derivatives are in the next chapter however there are a couple of
reasons for placing it in this chapter as opposed to putting it
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
MATH 1M03: Test 1 
Instructors: Bays, Lozinski, Moore
Date: January 31, 2012  Group B
Duration: 80 min.
Name: ' (i 2 IE ID #:
Instructions:
This test paper contains 15 multiple choice questions printed on both sides of the page.
The questions are on pag
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
MATH 1M03: Test 3  Version 2
Instructors: Bays, Lozinski, Moore
Date: March 22, 2012  Group B
Duration: 85 min.
Name:
ID #:
Instructions:
This test paper contains 15 multiple choice questions printed on both sides of the page.
The questions are on pages
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
MATH 1M03: Test 3  Version 3
Instructors: Bays, Lozinski, Moore
Date: March 22, 2012  Group B
Duration: 85 min.
Name:
ID #:
Instructions:
This test paper contains 15 multiple choice questions printed on both sides of the page.
The questions are on pages
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
MATH 1M03: Test 3  Version 4
Instructors: Bays, Lozinski, Moore
Date: March 22, 2012  Group B
Duration: 85 min.
Name:
ID #:
Instructions:
This test paper contains 15 multiple choice questions printed on both sides of the page.
The questions are on pages
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
MATH 1M03: Test 2  Version 1
Instructors: Bays, Lozinski, Moore
Date: March 1, 2012  Group B
Duration: 80 min.
Name: ID #:
Instructions:
This test paper contains 15 multiple choice questions printed on both sides of the page.
The questions are on pages
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
MATH 1M03: Test 3  Version 1
Instructors: Bays, Lozinski, Moore
Date: March 22, 2012  Group A
Duration: 85 min.
Name: K COM ID #:
Instructions:
This test paper contains 15 multiple choice questions printed on both sides of the page.
The questions are on
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
The following is the answer key, rather than detailed solutions, so that you can check your completed answer.
If you are not sure how to solve a problem, it implies that you are missing some key concept or two, and need
to learn that. Determine "What is
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Spring 2012
MATH 1M03: MidTerm Test  Version 1
Instructors: Lozinski, Moore
Date: January 28, 2009
Duration: 1.5 hrs.
Name: ID #:
Instructions:
This test paper contains 15 multiple choice questions printed on both sides of the page.
Each question is worth 1 mark,
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Spring 2012
MATH 1M03: Second MidTerm Test  Version 1
Instructors: Lozinski, Moore
Date: February 11, 2009
D ' \: .5h .
Uéll rs
ID as:
This test paper contains 15 multiple choice questions plus one bonus question printed on
both sides of the page. Each question i
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Spring 2012
MATH 1M03: Fourth MidTerm Test  Version 1
Instructors: Lozinski, Moore
Date: M ch 31, 2009
Duratc 1.5 hrs.
725
Name: % f 5 i/ ID #:
Instructions:
This test paper contains 15 multiple choice questions plus one bonus question printed on
both sidm of the p
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
ART 1UI3  Making Art and Understanding Images  Spring 2017  Laura Marotta
Project Two: Everyday Object Project
DUE: Thursday May 11
GRADING: 15%
A total of four drawings are necessary to complete this project. One of which, can be made on your 11
x 14
Calculus for Business, Humanities, and the Social Sciences
MATH 1m03

Fall 2012
1M03 Integration Practice Problems
February 16, 2017
1.
11.
Z
350x(7x
2.
Z
3.
4.
Z
Z
7.
Z
1
1
101
12.
Z
2x + 5
p
dx
x 3
2
1
Z
1
1
Z
9.
Z
Z
p
1
16.
19.
ln x
p dx
x
xe
3
Z
Z
18.
dx
1
y2e
1.2x
(2
3x)
dy
e2x )dx
1
x
18
x2
dx
x3
dx
(x2 + 2)2
ln 2
0
1
ex
dx
(3