MAT1300F 
Mathematical Methods I Professor: Charles Starling
Office: 585 King Edward, Room 311
Phone: 5625800 extension 3538.
email: cstar050@uottawa.ca. Office
Hours: Tuesdays 1:30pm  3:30pm in KED B015 (Note that this is a different room from my office)
Course Outline
Resources
 MAT1300 Main page. This page is an excellent resource for anyone taking MAT1300, and also contains information about WebAssign.
 WebAssign. This is an online homework resource. Those who buy a textbook new from the bookstore receive access with their purchase. Using WebAssign is not required.
Diagnostic test:
Here 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.
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 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

Tues 13 Jan  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 
Thu 15 Jan  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

Tues 20 Jan  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

Thu 22 Jan  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.

Tues 27 Jan  More on exponentials, interest
rates Ch.2 Sec.1: Slope of a function, Derivative 
2.1: 715odd, 1947odd, 5358

Thu 29 Jan  Ch.2 Sec.2,4: Rules of
differentiation 
2.2: 123 odd, 3135odd, 4559odd
2.4: 119odd, 3143odd, 45, 49, 51

Tues 3 Feb  Sec.2.3:Velocity and Marginals

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

Thu 5 Feb  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.

Tues 10 Feb  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

Thu 12 Feb  Midterm #1  
Tues 17 Feb
 Study Week  no class
 
Thu 19 Feb  Study Week  no class  
Tues 24 Feb  Sec.3.2: Extrema and
FirstDerivative Test 
3.2: 111, 1926

Thu 26 Feb
 Sec.3.3: Concavity and
Second Derivative Sec.3.4: Optimization Problems 
3.3: 511, 13, 33
3.4: 59,11, 13, 15

Tues 3 Mar
 Sec.3.5: Optimization
problems / Business and Economics  3.5: 15, 19, 20, 21, 2731 
Thu 5 Mar  Sec.3.6: Asymptotes Bonus Quiz 
3.6: 913, 1520, 2532, 61,

Tues 10 Mar  Sec.3.7: Curve Sketching 
3.7: 121odd, 27, 35, 36. 
Thu 12 Mar  Sec.5.1: Antiderivatives and
Indefinite Integral 
5.1: 136odd, 41, 45, 47, 49.

Tues 17 Mar  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

Thu 19 Mar  Sec.5.4: Area and Fundamental
Theorem of Calculus 
5.4: 937 odd, 4346

Tues 24 Mar 
Midterm #2
 
Thu 27 Mar  Sec.5.5: Area Between two
Functions

5.5: 112, 1530odd, 4146.

Tues 31 Mar  Sec.6.1: Integration by Parts
Sec.6.4 : Improper Integrals
Bonus Quiz #2 
6.1: 138, 3945odd, 47
6.4: 126.

Thu 2 Apr
 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

Tues 7 Apr
 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

Thu 9 Apr 
Review
 
Tues 14 Apr 
University follows Friday schedule (so we have no class)
 
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
