MATH 1300 A, B, D & E: Mathematical Methods I, FALL 2011
This website is for the course MAT 1300, Fall 2011.
But it is also a
general reference site for anyone taking MAT 1300. On this site, you
will find many old exams with solutions.
Throughout the semester, there
will be frequent updates. You should check this site regularly.
Here is the course outline for
MAT 1300A, Fall 2011, Richard Blute's section.
Here
is the course outline for MAT 1300B, Fall 2011, Termeh Kousha's section.
Here
is the course outline for MAT 1300D, Fall 2011, Eric Hua's section.
Here
is the course outline for MAT 1300E, Fall 2011, Charles Starling's section.
Here is a link to WebAssign.
On this website, you will find weekly homework assignments, as well
as a diagnostic test (discussed below).
To log in to WebAssign, you will need a class key. The class key is
uottawa 7957 4231
Note that this class key is valid for all 4 sections. Ignore that it
says the Instructor is Richard Blute. This will work whichever section you
are in.
Here is an introduction to WebAssign,
with details on how to login, etc.
On WebAssign, you will find a diagnostic test.
This test is for your own information
and should be used
to determine if you have sufficient algebraic background to take this course.
It measures your proficiency in the algebra necessary to
take the course.
If you get 8 or more right, you probably have sufficient algebra to
follow the course. If you get 5-7 right, you probably still have enough
but may have some difficulties. If you get 4 or less right, you may have
substantial difficulties in this course.
If you are unsure on where you stand, please feel free to talk to your
professor. Students who fall behind early in the semester have a very
difficult time the rest of the term.

Here
is a website that allows you to graph in 3-d. It is useful for Chapter 7.
Here
is an example of level sets being used to determine the graph of a function of two variables.
Here are solutions for Midterm 1,
Sections A & B. Note that there were several different versions, and in some
the questions were in a different order. Also, the Exams for Section A and
Section B had a different Question 6.
Here are solutions for Midterm 2,
Sections A & B. Note that there were several different versions, and in some
the questions were in a different order. Also, the Exams for Section A and
Section B had a different Question 5.
Here is a list of topics for the second
midterm 2011 for Sections A and B.
Here are some additional integration
problem. You can do numbers 1-19 for practice. The third page gives
answers to the odd numbered ones.
Here is a list of topics for the
last third of the course. When combined with the two previous lists,
you should have a complete topics list for the final.
Some students asked for some present value homework questions. You can do p. 428, #69,71 and p. 469 #45.
OLD TESTS:
Below you will find MANY old midterms, finals, etc. Most with solutions.
They provide an excellent study guide for this year's midterms and finals.
Here are solutions to the first
midterm, 2010. Here is a blank copy of
the first midterm, 2010. For some reason, the second multiple choice question
is different on the blank copy. The answer to the question on the blank test
is minus one half.
Here are solutions to the second
midterm, 2010. Here is a blank copy.
Here are solutions to the 2010 final exam.
Here is a blank copy.
Here is a blank copy of Midterm 1, 2009.
Here are the solutions.
Here
are the solutions for the
second midterm, 2009. Here is a blank copy of Midterm 2, 2009.
Here is a blank copy of the Final Exam, 2009.
Here are solutions.
Here
are the solutions for the 2007 final exam. (Ignore that it says 1300D
at the top.)
Here is a BLANK copy of the 2007 final exam.
This will be excellent practice for teh final this year.
Here are the solutions to midterm 2, 2007.
Here are the solutions to midterm 1, 2007.
Here is a blank copy.
Here is a blank copy of the final exam from 2006,
and here are solutions.
Here and here
are the solutions to midterm 2, 2006.
Here are the solutions to midterm 1, 2006.
Here is a blank copy of midterm 1, 2006.
Here is a blank copy of one of the versions of
2005's second midterm.
Here are
solutions to 2005's second midterm.
Here is a blank copy of one of the versions of
2005's first midterm.
Here are
solutions to 2005's first midterm.
Here is a blank copy of the final from 2004.
Here are solutions to the final exam
from 2004.
Here is a blank copy of the second midterm
from 2004.
Here are solutions to midterm 2 from 2004.
Here
is a blank copy of midterm 1 from 2004, and
Here are the solutions. (Sorry
about the poor quality of the printout.)
Here is the final exam from 2002.
Here are the solutions for the above final
exam.
Please note there is an error in the solution to
Question 6 of the 2003 final. x=2 is
a min not a max.
Here are the solutions to the first
midterm from 2003.
Here is a blank copy of the second midterm
from 2003.
Here are the solutions to the second
midterm from 2003.
Here is Midterm 1 from 2003, with solutions.
Here is Midterm 2 from 2003, with solutions.
Here is a complete breakdown of the topics for each lecture this semester,
along with a list of suggested problems related to those topics. (Note
that there may be some variations, depending on the section you are in.)
Below that,
you will find the problems arranged by topic for the 5th, 6th and 7th
editions.
|
| Date
| Sections
| Exercises
|
| Fri 9 Sep 2011
| Ch.0:
A Precalculus Review
| Odd numbered problems:
Sec.0.1: 15-27; Sec.0.2: 9-21;
Sec.0.3: 21-37; Sec.0.4: 1-19, 31-45
|
| Tue 13 Sep 2011
| Ch.1 Sec.1-4:
Cartesian Plane, Graphs, Straight Lines, Functions,
| Odd numbered problems:
Sec.0.5: 1-9, 39-43;
Sec.1.1: 5-9, 17, 21; Sec.1.2: 1-33, 51-55, 59;
Sec.1.3: 5-11, 21-33, 69;
Sec.1.4: 1-7, 17, 19, 25, 27, 31, 47-55, 71, 73
|
| Fri 16 Sep 2011
| Ch.1 Sec.5,6: Limits, Continuity
| Odd numbered problems:
Sec.1.5: 1-49; Sec.1.6: 1-27, 53, 55
|
| Tuesday 20 Sep 2011
| More on limits and continuity
Ch.4 Sec.1,2,4: Exponentials, Logarithms
| Odd numbered problems:
Sec.4.1: 1-33; Sec.4.2: 1-11, 31-37
Sec.4.4: 1-17, 23-55, 69, 85-87
|
| Friday 23 Sep 2011
| More on exponentials, interest rates
Ch.2 Sec.1: Slope of a function, Derivative
| Odd numbered problems:
Sec.2.1: 1-9, 15, 17, 19, 27-37, 45, 49, 68-71
|
| Tue 27 Sep 2011
| Ch.2 Sec.2,4,5: Rules of differentiation
| Odd numbered problems:
Sec.2.2: 3-19, 27-53, 57
Sec.2.4: 1-9, 23-35, 45
Sec.2.5: 1-33, 45-57, 65
|
| Fri 30 Sep 2011
| Sec.2.3:Velocity and Marginals
Sec.2.6: Higher Order Derivatives
Sec.2.7: Implicit Differentiation
| Odd numbered problems:
Sec.2.3: 41a
Sec.2.6: 5, 7, 23, 35
Sec.2.7: 3, 5, 7, 13-29
|
| Tue 4 Oct 2011
| Sec.4.3: Derivatives of Exponential Functions;
Sec.4.5: Derivatives of Logarithmic Functions;
Sec.4.6: Exponential Growth and Decay.
| Odd numbered problems:
Sec.4.3: 3-25;
Sec.4.5: 1-23, 47, 51, 53:
Sec.4.6: 11, 13, 15, 23, 24.
|
| Tue 11 Oct 2011
| Sec 3.1: Increasing and Decreasing Functions
| Odd numbered problems:
Sec 3.1:1-17,29
|
| Fri 14 Oct 2011
| Sec.3.2: Extrema and First-Derivative Test
| Odd numbered problems:
Sec.3.2: 1-11, 19-27.
|
| Tue 18 Oct 2011
| Sec.3.3: Concavity and Second Derivative
Sec.3.4: Optimization Problems
| Odd numbered problems:
Sec.3.3: 1-15, 27-31, 47
Sec.3.4: 1-7, 13-23, 35
|
| Fri 21 Oct 2011
| Sec.3.5: Optimization problems / Business and Economics
| Odd numbered problems:
Sec.3.5: 1-3, 9-11, 15, 19, 20, 21, 27-33
|
| Tue 1 Nov 2011
| Sec.3.6: Asymptotes
| Odd numbered problems:
Sec.3.6: 1-27, 39, 41, 47, 51, 53
|
| Fri 4 Nov 2011
| Sec.3.7: Curve Sketching
| Odd numbered problems:
Sec.3.7: 1-11, 33, 35, 39
|
| Tue 8 Nov 2011
| Sec.5.1: Antiderivatives and Indefinite Integral
Sec.5.2: Integration by Substitution and
The General Power Rule
| Odd numbered problems:
Sec.5.1: 1-19, 33-39, 49, 51, 53
Sec.5.2: 1-27, 35-39, 43, 45
|
| Fri 11 Nov 2011
| Sec.5.3: Integral of Exponential and Logarithm
| Odd numbered problems:
Sec.5.3: 1-27, 39-47
|
| Tue 15 Nov 2011
| Sec.5.4: Area and Fundamental Theorem of Calculus
| Odd numbered problems:
Sec.5.4: 1-35, 43, 57
|
| Tue 22 Nov 2011
| Sec.5.5: Area Between two Graphs
Sec.6.1: Integration by Parts and Present Value
| Odd numbered problems:
Sec.5.5: 1-29, 41-44
Sec.6.1: 1-25, 33, 39, 41
|
| Fri 25 Nov 2011
| Sec.6.5: Improper Integrals
| Odd numbered problems:
Sec.6.5: 1-19
|
| Tue 29 Nov 2011
|
Sec.7.1: The 3D Coordinate System
| Odd numbered problems:
Sec.7.1: 1-11
|
| Fri 2 Dec 2011
| Sec.7.2: Surfaces in Space (only first 2 pages)
Sec.7.3: Functions of Several Variables
Sec.7.4: Partial Derivatives
Sec.7.5: Extrema of Functions of Two Variables
| Odd numbered problems:
Sec.7.3: 1-9, 15-37
Sec.7.4: 1-11, 15-27, 39, 43-51, 55-63
Sec.7.5: 1-23, 37-41
|
|
Here, problems are given for the fifth,
sixth and seventh editions, so that people who have old editions
can still use them.
Topic 1-Limits, Continuity, Exponentials
Problems-5th Edition
- p. 45, # 1-15,27-45,63-67
- p. 58, # 1-41,53
- p. 69, # 1-27,33-39
- p. 266, # 1-39,45-51
Problems-6th Edition
- p. 45, # 1-7,15-21,31,45-55,71,73
- p. 59, # 1-45
- p. 69, # 1-25,35-39
- p. 262, # 1-33
- p. 270, # 31-37
Problems-7th Edition
- p. 45, # 1-7,17,19,25,27,31,47-55,71,73
- p. 59, # 1-49
- p. 69, # 1-27,53,55
- p. 262, # 1-33
- p. 270, # 31-37
Assignment 2
Topic 2-Exps, Logs, Derivatives
Problems-5th Edition
- p. 266, # 53
- p. 283, # 1-15,23-29,41,43,49,51,55,59,65
- p. 90, # 1-5,11,15,17,19,21,25,31,39,49-53
Problems-6th Edition
- p. 270, # 1-11
- p. 287, # 1-17,23-55,69,85-87
- p. 90, # 1-9,15,17,19,27-37,45,49,51,66-69
Problems-7th Edition
- p. 270, # 1-11
- p. 287, # 1-17,23-55,69,85-87
- p. 90, # 1-9,15,17,,19,27-37,45,49,68-71
Assignment 3
Topic 3-Basic Differentiation, Product Rule, Quotient Rule, Chain Rule
Problems-5th Edition
- p. 102, # 3-19,27-31,37-51
- p. 128, # 1-9,19-31,41
- p. 138, # 1-7,13-29,41-53,67
Problems-6th Edition
- p. 102, # 3-19,27-53
- p. 128, # 1-9,23-35,45
- p. 138, # 1-7,13-29,41-53,67
Problems-7th Edition
- p. 102, # 3-19,27-53,57
- p. 128, # 1-9,23-35,45
- p. 138, # 1-33,45-57,65
Assignment 4
Topic 4-Marginal functions,higher-order derivatives,
implicit differentiation, exponential and logarithmic derivatives
Problems-5th Edition
- p. 117, # 17-31
- p. 145, # 5,19,23,27,35,47-53
- p. 152, # 3,9,13,15,19
- p. 275, # 3-25
- p. 292, # 1-25,47-55
Problems-6th Edition
- p. 117, # 19-31
- p. 145, # 5,19,23,29,35,51-55
- p. 152, # 3,9,13,15,19,21
- p. 279, # 3-25
- p. 296, # 1-25,47-55
Problems-7th Edition
- p. 117, # 17-31
- p. 145, # 5,7,19,23,31,35,51-55
- p. 152, # 3,5,7,13-29
- p. 279, # 3-25
- p. 296, # 1-23,47,51,53
Assignment 5
Topic 5-Exponential growth and decay, related
rates, concavity, extrema and optimization
Problems-5th Edition
- p. 302, # 11,13,15,21,22
- p. 160, # 1-13,17,19,21
- p. 179, # 1-17,29
- p. 189, # 1-11,19-27
- p. 198, # 1-13,23-29
- p. 207, # 1-7,13-21,18
- p. 217, # 1-4,15,19,20
Problems-6th Edition
- p. 306, # 11,13,15,23,24
- p. 160, # 1-13,17,19,21
- p. 179, # 1-17,29
- p. 189, # 1-11,19-27
- p. 198, # 1-13,27-31
- p. 207, # 1-7,13-21,18
- p. 217, # 1-4,15,19,20
Problems-7th Edition
- p. 306, # 11,13,15,23,24
- p. 160, # 1-13,17,19,21,23,25
- p. 179, # 1-17,29
- p. 189, # 1-11,19-27
- p. 198, # 1-15,27-31,47
- p. 207, # 1-7,13-23,35
- p. 217, # 1-3,15,19,20,21
Assignment 6
Topic 6-More optimization, elasticity,
asymptotes, curve sketching
Problems-5th Edition
- p. 217, # 9-11,15,19,21,27-33
- p. 228, # 1-31,37,39,45,49,51
- p. 238, # 1-9,31-37
Problems-6th Edition
- p. 217, # 9-11,15,19,21,27-33
- p. 228, # 1-31,39,41,47,51,53
- p. 238, # 1-11,31-37
Problems-7th Edition
- p. 217, # 9-11,15,19,21,27-33
- p. 228, # 1-27,39,41,47,51,53
- p. 238, # 1-11,33,35,39
Assignment 7
Topic 7-Antidifferentiation, exponential and
logarithmic integrals
Problems-5th Edition
- p. 322, # 1-17,25-35,43-47,57-63
- p. 331, # 1-23,33-39
- p. 338, # 1-23,33-41
Problems-6th Edition
- p. 326, # 1-17,25-35,45-49,59-69
- p. 335, # 1-27,35-47
- p. 342, # 1-23,35-41
Problems-7th Edition
- p. 326, # 1-19,33-39,49,51,53
- p. 335, # 1-27,35-39,43,45
- p. 342, # 1-27,39-47
Assignment 8
Topic 8-Integration and Area
Problems-5th Edition
- p. 348, # 1-29,39,41,45,47,49
- p. 357, # 1-27,37-39
- p. 390, # 1-31
Problems-6th Edition
- p. 353, # 1-33,47,49,53,55
- p. 362, # 1-25,41,43
- p. 394, # 1-25,41
Problems-7th Edition
- p. 353, # 1-35,43,57
- p. 362, # 1-29,41-44
- p. 394, # 1-25,33,39,41
Assignment 9
Topic 9-Integration by Parts
Problems-5th Edition
- p. 399, # 1-15,31,33,57-61
Problems-6th Edition
- p. 403, # 1-17,29,31,59-63
Problems-7th Edition
- p. 403, # 1-17,29,31,63,65
Assignment 10
Topic 10-Improper integrals, functions of several
variables
Problems-5th Edition
- p. 440 # 1,3,5,9,37
- p. 458 # 1-11
- p. 476 # 1-11,15-29,33-37
Problems-6th Edition
- p. 444 # 1-11,39
- p. 462 # 1-13
- p. 480 # 1-9,15-29,33-37
Problems-7th Edition
- p. 444 # 1-11,39
- p. 462 # 1-11
- p. 480 # 1-9,15--37
Assignment 11
Topic 11-Partial derivatives and local extrema
Problems-5th Edition
- p. 487 # 1-11,15-27,35,39-47,51,53
- p. 497 # 1-23,41-45
Problems-6th Edition
- p. 491 # 1-11,15-27,39,43-51
- p. 501 # 1-23,37-41
Problems-7th Edition
- p. 491 # 1-11,15-27,39,43-51,55-63
- p. 501 # 1-23,37-41