MAT1300E -
Mathematical Methods I
Instructor: Charles Starling
Office: 585 King Edward, Room 306
Phone: 562-5800 extension 3507.
email: cstar050@uottawa.ca. Office
Hours: Monday and Wednesday 4pm-5:15pm 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 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 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: 15-27; Sec.0.2: 9-21;
Sec.0.3:
21-37; Sec.0.4: 1-19, 31-45
|
Mon 12 Sep
| 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
|
Wed 14 Sep
| Ch.1 Sec.5,6: Limits, Continuity
| Odd numbered
problems:
Sec.1.5: 1-49; Sec.1.6: 1-27, 53, 55
Sec.4.1: 1-33;
Sec.4.2: 31-37 |
Mon 19 Sep
| 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
|
Wed 21 Sep
| 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
|
Mon 26 Sep
| Ch.2 Sec.2,4: Rules of
differentiation | Odd
numbered problems:
Sec.2.2: 3-19, 27-53, 57
Sec.2.4: 1-9, 23-35,
45
|
Wed 28 Sep
| Sec.2.3:Velocity and Marginals
| Odd numbered
problems:
Sec.2.3: 17-31,39,41
|
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: 1-33, 45-57,
65
Sec.2.6: 5, 7, 19, 23, 31, 35, 51-55
Sec.2.7: 3, 5, 7, 13-29
Sec.4.3: 3-25
|
| 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: 1-23, 47, 51, 53
Sec.4.6: 11, 13, 15, 23, 24.
Odd numbered problems:
Sec
3.1:1-17,29 |
| Mon 17 Oct | Sec.3.2: Extrema and
First-Derivative Test | Odd
numbered problems:
Sec.3.2: 1-11, 19-27. |
| Wed 19 Oct
| 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 |
| 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: 1-3, 9-11, 15, 19, 20,
21, 27-33 |
| Wed 2 Nov | Sec.3.6: Asymptotes | Odd numbered problems:
Sec.3.6: 1-27, 39, 41, 47, 51, 53
|
| Mon 7 Nov | Sec.3.7: Curve Sketching | Odd numbered problems:
Sec.3.7: 1-11, 33, 35, 39 |
| Wed 9 Nov | Sec.5.1: Antiderivatives and
Indefinite Integral | Odd
numbered problems:
Sec.5.1: 1-19, 33-39, 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: 1-27, 35-39, 43, 45
Sec.5.3: 1-27, 39-47
|
| Wed 16 Nov | Sec.5.4: Area and Fundamental
Theorem of Calculus | Odd
numbered problems:
Sec.5.4: 1-35, 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: 1-29, 41-44
|
| Mon 28 Nov | Sec.6.1: Integration by Parts
Sec.6.5 : Improper Integrals |
Odd numbered problems:
Sec.6.1: 1-25, 33, 39, 41
Sec.6.5:
1-22
|
| 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: 1-11
Sec.7.3: 1-9,
15-37
|
| Mon 5 Dec
| Sec.7.4: Partial
Derivatives
Sec.7.5: Extrema of Functions of Two Variables | Odd numbered problems:
Sec.7.4: 1-11, 15-27, 39, 43-51, 55-63
Sec.7.5: 1-23, 37-41
|
| 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 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
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
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
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
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
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
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
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
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
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
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
|