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
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2009
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2007
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2006
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2005
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2004
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2003
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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