MAT1300D  Mathematical Methods I
Instructor: Charles Starling
Office: 585 King Edward, Room 306
Phone: 5625800 extension 3507.
email: cstar050@uottawa.ca.
Office Hours: Monday 2pm4pm, Wednesday 4pm5:15pm or by appointment.
Course Outline
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

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.
Date
 Appoximate Sections
 Exercises

Mon 8 Sep NOTES
 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

Wed 10 Sep NOTES
 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

Mon 15 Sep NOTES
 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

Wed 17 Sep NOTES
 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

Mon 22 Sep NOTES
 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

Wed 24 Sep NOTES
 Ch.2 Sec.2,4: Rules of differentiation
 Odd numbered problems:
Sec.2.2: 319, 2753, 57
Sec.2.4: 19, 2335, 45

Mon 29 Sep NOTES
 Sec.2.3:Velocity and Marginals
 Odd numbered problems:
Sec.2.3: 1731,39,41

Wed 1 Oct NOTES

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

Mon 6 Oct
 Midterm #1 Version (a) Solutions
Version (b) Solutions
 Sections 0.10.5, 1.11.6, 2.12.4, 4.1, 4.2, 4.4

Wed 8 Oct NOTES
 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

Wed 15 Oct NOTES
 Sec.3.2: Extrema and FirstDerivative Test
 Odd numbered problems:
Sec.3.2: 111, 1927.

Mon 20 Oct NOTES
 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

Wed 22 Oct NOTES
 Sec.3.5: Optimization problems / Business and Economics
 Odd numbered problems:
Sec.3.5: 13, 911, 15, 19, 20, 21, 2733

Mon 27 Oct NOTES
 Sec.3.6: Asymptotes
 Odd numbered problems:
Sec.3.6: 127, 39, 41, 47, 51, 53

Wed 29 Oct
 Midterm #2 Version (a) Solutions
Version (b) Solutions
 Sections 2.5, 2.6, 2.7, 4.5, 4.6, 3.13.4,
Finding a demand function and maximizing
revenue from 3.5 (nothing else from 3.5)

Mon 3 Nov NOTES
 Sec.3.7: Curve Sketching
 Odd numbered problems:
Sec.3.7: 111, 33, 35, 39

Wed 5 Nov NOTES
 Sec.5.1: Antiderivatives and Indefinite Integral
 Odd numbered problems:
Sec.5.1: 119, 3339, 49, 51, 53

Mon 10 Nov NOTES
 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 12 Nov NOTES
 Sec.5.4: Area and Fundamental Theorem of Calculus
 Odd numbered problems:
Sec.5.4: 135, 43, 57

Mon 17 Nov NOTES
 Sec.5.5: Area Between two Functions
 Odd numbered problems:
Sec.5.5: 129, 4144

Wed 19 Nov NOTES
 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

Mon 24 Nov NOTES

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

Wed 26 Nov NOTES

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

Mon 1 Dec
 REVIEW QUIZ
SOLUTIONS
 
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
