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 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

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
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
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
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

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

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

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 plus one bonus question printed on
both sides of the pag
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 Tests
because many of the proofs in those sections nee
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
looked at, but they are now going to be approached wit
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

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

Fall 2013
Name: _
Student Number:_
Math 1M03
Winter Session, 2014
Test #2  Version 2
C. McLean
G. Moore
CK. Lai
TERM TEST
DAY CLASS
DURATION OF TEST: 90 min (1.5 hrs.)
MCMASTER UNIVERSITY TERM TEST
Monday, March 6, 2014
THIS TEST INCLUDES 7 PAGES AND 15 QUESTIONS
Calculus for Business, Humanities, and the Social Sciences
MATH 1M03

Fall 2013
Name: _
Student Number:_
MATHEMATICS 1M03
Winter Session, 2011
Test #2  Practice 2
TERM TEST
DAY CLASS
DURATION OF TEST: 90 min (1.5 hrs.)
MCMASTER UNIVERSITY TERM TEST
Thursday, February 17, 2011
THIS TEST INCLUDES 7 PAGES AND 15 QUESTIONS. YOU ARE RESP