MAT1300E 
Mathematical Methods I Instructor: Charles Starling
Office: 585 King Edward, Room 306
Phone: 5625800 extension 3507.
email: cstar050@uottawa.ca. Office
Hours: Monday and Wednesday 4pm5:15pm or by appointment.
Course Outline
This is 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. Give yourself 30 minutes with no books or calculators
allowed. If you get 8 or more right, you probably have sufficient
algebra to follow the course. If you get 57 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 come talk
to me. Also, if you are having difficulties with the algebra, there is a
book available for sale at Agora and the bookstore, called "Succeeding
in Applied Calculus" which may help.
The solutions to the above diagnostic are C E A B C A A B E A. There is another one on Webassign (see below).
As mentioned in the course outline, there will be homework available on Webassign. Homework is not marked, but doing well in this course is all about practicing the techniques I teach to you until you understand them. So do questions until you understand!
To use Webassign, you will need a class key. The class key is uottawa 7957 4231
Here is a powerpoint presentation about using Webassign.
Here there are links to several past midterms and final
exams given by my colleague Richard Blute. Work with them for
practicing.
Year  Midterm 1  Midterm 2 
Final 
2010  solutions, blank
 versions: solutions, blank 
solution version,
blank version 
2009  #1, blank
 #1, blank 
solution version,
blank version 
2007  versions: #1, #2
 versions: #1, #2 
solution version,
blank version 
2006  versions: #1,
blank  versions: #1
,
#2
 solution version,
blank version  2005 
versions:
#1,
#2,
blank  versions: #1
, #2

solution version, blank version
 2004  versions: #
1, blank 
versions: #
1, blank  solution version, blank version  2003
 versions: #
1, #2  versions: #
1, #2  
Here is a complete breakdown of the topics for each lecture this
semester, along with a list of suggested problems related to those
topics and typed notes based on those given by me and Dr. Blute. (Note
that there may be some variations, depending on the section you are in.)
If you have a previous edition of the textbook (5th, 6th or
7th), a list of problems for your edition is given below the
table. Notes Condensed by Chapter
Date  Appoximate Sections  Exercises

Wed 7 Sep  Ch.0:
A Precalculus Review   Odd
numbered problems: Sec.0.1: 1527; Sec.0.2: 921; Sec.0.3:
2137; Sec.0.4: 119, 3145 
Mon 12 Sep  Ch.1 Sec.14:
Cartesian Plane, Graphs, Straight Lines, Functions   Odd numbered problems:
Sec.0.5: 19, 3943; Sec.1.1: 59, 17, 21; Sec.1.2: 133, 5155,
59; Sec.1.3: 511, 2133, 69; Sec.1.4: 17, 17, 19, 25, 27,
31, 4755, 71, 73

Wed 14 Sep  Ch.1 Sec.5,6: Limits, Continuity
 Odd numbered
problems: Sec.1.5: 149; Sec.1.6: 127, 53, 55 Sec.4.1: 133;
Sec.4.2: 3137 
Mon 19 Sep  More on limits and continuity
Ch.4 Sec.1,2,4: Exponentials, Logarithms  Odd numbered problems: Sec.4.1: 133; Sec.4.2:
111, 3137 Sec.4.4: 117, 2355, 69, 8587

Wed 21 Sep  More on exponentials, interest
rates Ch.2 Sec.1: Slope of a function, Derivative  Odd numbered problems:
Sec.2.1: 19, 15, 17, 19, 2737, 45, 49, 6871

Mon 26 Sep  Ch.2 Sec.2,4: Rules of
differentiation  Odd
numbered problems: Sec.2.2: 319, 2753, 57 Sec.2.4: 19, 2335,
45

Wed 28 Sep  Sec.2.3:Velocity and Marginals
 Odd numbered
problems: Sec.2.3: 1731,39,41

Mon 3 Oct  Sec.2.5: The Chain Rule Sec.2.6:
Higher Order Derivatives Sec.2.7: Implicit Differentiation
Sec.4.3: Derivatives of Exponential Functions  Odd numbered problems: Sec.2.5: 133, 4557,
65 Sec.2.6: 5, 7, 19, 23, 31, 35, 5155
Sec.2.7: 3, 5, 7, 1329 Sec.4.3: 325

Wed 5 Oct  Midterm #1 Version 1 Solutions Version 2 Solutions  
Mon 10 Oct
 Thanksgiving  no class
  Wed 12 Oct  Sec.4.5: Derivatives of
Logarithmic Functions Sec.4.6: Exponential Growth and Decay.
Sec.3.1: Increasing and Decreasing Functions  Sec.4.5: 123, 47, 51, 53
Sec.4.6: 11, 13, 15, 23, 24. Odd numbered problems: Sec
3.1:117,29 
Mon 17 Oct  Sec.3.2: Extrema and
FirstDerivative Test  Odd
numbered problems: Sec.3.2: 111, 1927. 
Wed 19 Oct
 Sec.3.3: Concavity and
Second Derivative Sec.3.4: Optimization Problems  Odd numbered problems:
Sec.3.3: 115, 2731, 47 Sec.3.4: 17, 1323, 35 
Mon 24 Oct
 Study Week  no class
 
Wed 26 Oct  Study Week  no class   Mon 31 Oct
 Sec.3.5: Optimization
problems / Business and Economics  Odd numbered problems: Sec.3.5: 13, 911, 15, 19, 20,
21, 2733 
Wed 2 Nov  Sec.3.6: Asymptotes  Odd numbered problems:
Sec.3.6: 127, 39, 41, 47, 51, 53

Mon 7 Nov  Sec.3.7: Curve Sketching  Odd numbered problems:
Sec.3.7: 111, 33, 35, 39 
Wed 9 Nov  Sec.5.1: Antiderivatives and
Indefinite Integral  Odd
numbered problems: Sec.5.1: 119, 3339, 49, 51, 53

Mon 14 Nov  Sec.5.2: The General Power
Rule Sec.5.3: Integral of Exponential and Logarithm
 Odd numbered
problems: Sec.5.2: 127, 3539, 43, 45 Sec.5.3: 127, 3947

Wed 16 Nov  Sec.5.4: Area and Fundamental
Theorem of Calculus  Odd
numbered problems:
Sec.5.4: 135, 43, 57 
Mon 21 Nov 
Midterm #2 Version 1 Solutions Version 2 Solutions   
Wed 23 Nov  Sec.5.5: Area Between two
Functions
 Odd numbered
problems: Sec.5.5: 129, 4144

Mon 28 Nov  Sec.6.1: Integration by Parts
Sec.6.5 : Improper Integrals 
Odd numbered problems: Sec.6.1: 125, 33, 39, 41 Sec.6.5:
122 
Wed 30 Nov
 Sec.7.1: The 3D Coordinate
System Sec.7.2: Surfaces in Space (only first 2 pages) Sec.7.3:
Functions of Several Variables  Odd numbered problems: Sec.7.1: 111 Sec.7.3: 19,
1537

Mon 5 Dec
 Sec.7.4: Partial
Derivatives Sec.7.5: Extrema of Functions of Two Variables  Odd numbered problems:
Sec.7.4: 111, 1527, 39, 4351, 5563 Sec.7.5: 123, 3741

Wed 7 Dec 
 
Below is a list of practice problems from the 5th, 6th and 7th
editions of the book that correspond to the material we will be
covering. Topic 1Limits, Continuity,
Exponentials
Problems5th Edition
 p. 45, # 115,2745,6367
 p. 58, # 141,53
 p. 69, # 127,3339
 p. 266, # 139,4551
Problems6th
Edition
 p. 45, # 17,1521,31,4555,71,73
 p. 59, # 145
 p. 69, # 125,3539
 p. 262, # 133
 p. 270, # 3137
Problems7th Edition
 p. 45, # 17,17,19,25,27,31,4755,71,73
 p. 59, # 149
 p. 69, # 127,53,55
 p. 262, # 133
 p. 270, # 3137
Topic 2Exps, Logs, Derivatives
Problems5th Edition
 p. 266, # 53
 p. 283, # 115,2329,41,43,49,51,55,59,65
 p. 90, # 15,11,15,17,19,21,25,31,39,4953
Problems6th Edition
 p. 270, # 111
 p. 287, # 117,2355,69,8587
 p. 90, # 19,15,17,19,2737,45,49,51,6669
Problems7th Edition
 p. 270, # 111
 p. 287, # 117,2355,69,8587
 p. 90, # 19,15,17,,19,2737,45,49,6871
Topic 3Basic Differentiation, Product Rule, Quotient
Rule, Chain Rule
Problems5th Edition
 p. 102, # 319,2731,3751
 p. 128, # 19,1931,41
 p. 138, # 17,1329,4153,67
Problems6th Edition
 p. 102, # 319,2753
 p. 128, # 19,2335,45
 p. 138, # 17,1329,4153,67
Problems7th Edition
 p. 102, # 319,2753,57
 p. 128, # 19,2335,45
 p. 138, # 133,4557,65
Topic 4Marginal functions,higherorder derivatives,
implicit differentiation, exponential and logarithmic derivatives
Problems5th Edition
 p. 117, # 1731
 p. 145, # 5,19,23,27,35,4753
 p. 152, # 3,9,13,15,19
 p. 275, # 325
 p. 292, # 125,4755
Problems6th
Edition
 p. 117, # 1931
 p. 145, # 5,19,23,29,35,5155
 p. 152, # 3,9,13,15,19,21
 p. 279, # 325
 p. 296, # 125,4755
Problems7th Edition
 p. 117, # 1731
 p. 145, # 5,7,19,23,31,35,5155
 p. 152, # 3,5,7,1329
 p. 279, # 325
 p. 296, # 123,47,51,53
Topic 5Exponential growth and decay, related rates,
concavity, extrema and optimization
Problems5th Edition
 p. 302, # 11,13,15,21,22
 p. 160, # 113,17,19,21
 p. 179, # 117,29
 p. 189, # 111,1927
 p. 198, # 113,2329
 p. 207, # 17,1321,18
 p. 217, # 14,15,19,20
Problems6th
Edition
 p. 306, # 11,13,15,23,24
 p. 160, # 113,17,19,21
 p. 179, # 117,29
 p. 189, # 111,1927
 p. 198, # 113,2731
 p. 207, # 17,1321,18
 p. 217, # 14,15,19,20
Problems7th
Edition
 p. 306, # 11,13,15,23,24
 p. 160, # 113,17,19,21,23,25
 p. 179, # 117,29
 p. 189, # 111,1927
 p. 198, # 115,2731,47
 p. 207, # 17,1323,35
 p. 217, # 13,15,19,20,21
Topic 6More optimization, elasticity, asymptotes,
curve sketching
Problems5th Edition
 p. 217, # 911,15,19,21,2733
 p. 228, # 131,37,39,45,49,51
 p. 238, # 19,3137
Problems6th
Edition
 p. 217, # 911,15,19,21,2733
 p. 228, # 131,39,41,47,51,53
 p. 238, # 111,3137
Problems7th
Edition
 p. 217, # 911,15,19,21,2733
 p. 228, # 127,39,41,47,51,53
 p. 238, # 111,33,35,39
Topic 7Antidifferentiation, exponential and
logarithmic integrals
Problems5th Edition
 p. 322, # 117,2535,4347,5763
 p. 331, # 123,3339
 p. 338, # 123,3341
Problems6th
Edition
 p. 326, # 117,2535,4549,5969
 p. 335, # 127,3547
 p. 342, # 123,3541
Problems7th Edition
 p. 326, # 119,3339,49,51,53
 p. 335, # 127,3539,43,45
 p. 342, # 127,3947
Topic 8Integration and Area
Problems5th Edition
 p. 348, # 129,39,41,45,47,49
 p. 357, # 127,3739
 p. 390, # 131
Problems6th Edition
 p. 353, # 133,47,49,53,55
 p. 362, # 125,41,43
 p. 394, # 125,41
Problems7th Edition
 p. 353, # 135,43,57
 p. 362, # 129,4144
 p. 394, # 125,33,39,41
Topic 9Integration by Parts
Problems5th Edition
 p. 399, # 115,31,33,5761
Problems6th Edition
 p. 403, # 117,29,31,5963
Problems7th Edition
 p. 403, # 117,29,31,63,65
Topic 10Improper integrals,
functions of several variables
Problems5th Edition
 p. 440 # 1,3,5,9,37
 p. 458 # 111
 p. 476
# 111,1529,3337
Problems6th Edition
 p. 444 # 111,39
 p. 462 # 113
 p. 480 #
19,1529,3337
Problems7th Edition
 p. 444 # 111,39
 p. 462 # 111
 p. 480 #
19,1537
Topic 11Partial derivatives and local extrema
Problems5th Edition
 p. 487 # 111,1527,35,3947,51,53
 p. 497 # 123,4145
Problems6th Edition
 p. 491 # 111,1527,39,4351
 p. 501 # 123,3741
Problems7th Edition
 p. 491 # 111,1527,39,4351,5563
 p. 501 # 123,3741
