MAT1300B 
Mathematical Methods I Professor: Charles Starling
Office: 585 King Edward, Room 304A
Phone: 5625800 extension 3592.
email: cstar050@uottawa.ca. Office
Hours: Tuesday 10:30pm  12pm, Thursday 1pm  2:30pm
Course Outline
Announcements
Final Exam Review Topics
The final exam is cumulative, so you have to review all the topics from the previous midterms. Here are the review topic pdfs, with a new one for Chapter 57 material.
Previous Announcements
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 log in to WebAssign, you will need a class key. The class key is uottawa 0102 3400
Note that this class key is valid for all 4 sections of MAT1300. Ignore that it says the Instructor is Richard Blute. This will work whichever section you are in.
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,
7th or 8th), a list of problems for your edition is given below the
table. Notes Condensed by Chapter
Date  Appoximate Sections  Exercises

Fri 7 Sep  Appendix A:
A Precalculus Review  A.1: 1128, 3133 A.2: 712, 1934, 42 A.3: 119odd, 2129odd, 3135odd, 3734, 53* A.4: 916, 1925, 3541, 6164 A.5: 1, 3, 516, 1721, 2941odd 
Tues 11 Sep  Ch.1 Sec.14:
Cartesian Plane, Graphs, Straight Lines, Functions  
1.1: 3, 5, 13, 15, 23, 25
1.2: 16, 712, 17, 18, 23, 25, 27, 4145 odd, 4955 odd, 60
1.3: 139odd, 5361odd, 77, 91, 95
1.4: 15odd, 916, 1727odd, 3547odd, 5356, 6366, 7072

Fri 14 Sep  Ch.1 Sec.5,6: Limits, Continuity

1.5: 17, 21, 3740, 4350, 55, 59, 60, 75, 76
1.6: 19odd, 1117, 3134, 41, 57, 58

Tues 18 Sep  More on limits and continuity
Ch.4 Sec.1,2,4: Exponentials, Logarithms 
4.1: 1, 3, 713odd, 20, 21
4.2: 1, 3, 11, 13, 15, 27, 29
4.4: 17odd, 912, 1933odd, 4149odd, 5171odd, 7375.

Fri 21 Sep  More on exponentials, interest
rates Ch.2 Sec.1: Slope of a function, Derivative 
2.1: 715odd, 1947odd, 5358

Tues 25 Sep  Ch.2 Sec.2,4: Rules of
differentiation 
2.2: 123 odd, 3135odd, 4559odd
2.4: 119odd, 3143odd, 45, 49, 51

Fri 28 Sep  Sec.2.3:Velocity and Marginals

2.3: 1, 2, 7, 9
3.5: 20, 21 (just find the demand functions)

Tues 2 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 
2.5: 1319odd, 2136, 4769odd, 71.
2.6: 111odd, 13, 17, 25, 31
2.7: 125odd
4.3: 119odd, 2125, 2730, 31, 48.

Fri 5 Oct  Midterm #1 Solutions There were two other versions with slightly different questions.  
Tues 9 Oct  Sec.4.5: Derivatives of
Logarithmic Functions Sec.4.6: Exponential Growth and Decay.
Sec.3.1: Increasing and Decreasing Functions 
4.5: 121odd, 4549odd, 53, 57
4.6: 11, 13, 15, 19, 23
3.1: 1, 3, 5, 7, 1133odd, 35, 37

Fri 12 Oct  Sec.3.2: Extrema and
FirstDerivative Test 
3.2: 111, 1926

Tues 16 Oct
 Sec.3.3: Concavity and
Second Derivative Sec.3.4: Optimization Problems 
3.3: 511, 13, 33
3.4: 59,11, 13, 15

Fri 19 Oct
 Sec.3.5: Optimization
problems / Business and Economics  3.5: 15, 19, 20, 21, 2731 
Tues 23 Oct
 Study Week  no class
 
Fri 26 Oct  Study Week  no class  
Tues 30 Oct  Sec.3.6: Asymptotes 
3.6: 913, 1520, 2532, 61,

Fri 2 Nov  Sec.3.7: Curve Sketching 
3.7: 121odd, 27, 35, 36. 
Tues 6 Nov  Sec.5.1: Antiderivatives and
Indefinite Integral 
5.1: 136odd, 41, 45, 47, 49.

Fri 9 Nov  Sec.5.2: The General Power
Rule Sec.5.3: Integral of Exponential and Logarithm

5.2: 17odd, 933odd, 37, 41, 43, 44, 45.
5.3: 129, 3137

Tues 13 Nov 
Midterm #2
 
Fri 16 Nov  Sec.5.4: Area and Fundamental
Theorem of Calculus 
5.4: 937 odd, 4346

Tues 20 Nov  Sec.5.5: Area Between two
Functions

5.5: 112, 1530odd, 4146.

Fri 23 Nov  Sec.6.1: Integration by Parts
Sec.6.4 : Improper Integrals 
6.1: 138, 3945odd, 47
6.4: 126.

Tues 27 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 
7.1: none
7.2: none
7.3: 3, 5, 17, 20, 21 (just domains), 35, 36

Fri 30 Nov
 Sec.7.4: Partial
Derivatives Sec.7.5: Extrema of Functions of Two Variables 
7.4: 121odd, 3949odd, 51
7.5: 1, 2, 5, 7, 8, 9, 13, 14, 15, 25, 27, 41

Tues 4 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
Problems8th Edition
 Odd
numbered problems:Sec.0.1: 1527;
Sec.0.2: 921; Sec.0.3:
2137; Sec.0.4: 119, 3145
 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
 Odd numbered
problems:
Sec.1.5: 149; Sec.1.6: 127, 53, 55 Sec.4.1: 133;
Sec.4.2: 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
Problems8th Edition
 Odd numbered problems:
Sec.4.1: 133; Sec.4.2:
111, 3137 Sec.4.4: 117, 2355, 69, 8587
 Odd numbered problems:
Sec.2.1: 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
Problems8th Edition
 Odd
numbered problems:
Sec.2.2: 319, 2753, 57 Sec.2.4: 19, 2335,
45
 Odd numbered
problems:
Sec.2.3: 1731,39,41
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
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
Problems8th Edition
 Sec.4.5: 123, 47, 51, 53
 Odd numbered problems:
Sec
3.1:117,29
 Odd
numbered problems:
Sec.3.2: 111, 1927
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
Problems8th
Edition
 Sec.4.6: 11, 13, 15, 23, 24.
 Odd numbered problems:
Sec.3.3: 115, 2731, 47 Sec.3.4: 17, 1323, 35
 Odd numbered problems:
Sec.3.5: 13, 911, 15, 19, 20,
21, 2733
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
Problems8th
Edition
 Odd numbered problems:
Sec.3.6: 127, 39, 41, 47, 51, 53
 Odd numbered problems:
Sec.3.7: 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
Problems8th Edition
 Odd
numbered problems:
Sec.5.1: 119, 3339, 49, 51, 53
 Odd numbered
problems:
Sec.5.2: 127, 3539, 43, 45 Sec.5.3: 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
Problems8th Edition
 Odd
numbered problems:
Sec.5.4: 135, 43, 57
 Odd numbered
problems:
Sec.5.5: 129, 4144
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
Problems8th Edition
 Odd numbered problems:
Sec.6.1: 125, 33, 39, 41
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
Problems8th Edition
 Odd numbered problems:
Sec.6.5:
122
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
Problems8th Edition
 Odd numbered problems:
Sec.7.1: 111 Sec.7.3: 19,
1537
 Odd numbered problems:
Sec.7.4: 111, 1527, 39, 4351, 5563 Sec.7.5: 123, 3741
