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
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 A
Duration: 80 min.
Name:
ID #:
Instructions:
This test paper contains 15 multiple choice questions printed
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
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
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 sh
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 fun
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
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
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
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
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
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
Business Applications
In the final section of this chapter lets take a look at some applications of derivatives in
the business world. For the most part these are really applications that weve already
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Winter 2015
The Mean Value Theorem
In this section we want to take a look at the Mean Value Theorem. In most traditional textbooks
this section comes before the sections containing the First and Second Derivative
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Spring 2012
MATH 1M03: 3rd MidTerm Test  Version 1
Instructors: Lozinski, Moore
Date: March 12, 2009
Duration: 1.5 hrs.
0 WW
Name: ID #:
Instructions:
This test paper contains 1 multiple choice questions p
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:
ID #:
Instructions:
This test paper contains 15 multiple choice questions printe
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 A
Duration: 85 min.
Name:
ID #:
Instructions:
This test paper contains 15 multiple choice questions printe
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 printe
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 prin
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 printe
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 printe
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 printe
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
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
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 conc