MAT1300B - Mathematical Methods I


Professor: Charles Starling

Office: 585 King Edward, Room 304A

Phone: 562-5800 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 5-7 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
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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, 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 ReviewA.1: 11-28, 31-33
A.2: 7-12, 19-34, 42
A.3: 1-19odd, 21-29odd, 31-35odd, 37-34, 53*
A.4: 9-16, 19-25, 35-41, 61-64
A.5: 1, 3, 5-16, 17-21, 29-41odd
Tues 11 Sep
Ch.1 Sec.1-4: Cartesian Plane, Graphs, Straight Lines, Functions - 1.1: 3, 5, 13, 15, 23, 25
1.2: 1-6, 7-12, 17, 18, 23, 25, 27, 41-45 odd, 49-55 odd, 60
1.3: 1-39odd, 53-61odd, 77, 91, 95
1.4: 1-5odd, 9-16, 17-27odd, 35-47odd, 53-56, 63-66, 70-72
Fri 14 Sep
Ch.1 Sec.5,6: Limits, Continuity 1.5: 1-7, 21, 37-40, 43-50, 55, 59, 60, 75, 76
1.6: 1-9odd, 11-17, 31-34, 41, 57, 58
Tues 18 Sep
More on limits and continuity
Ch.4 Sec.1,2,4: Exponentials, Logarithms
4.1: 1, 3, 7-13odd, 20, 21
4.2: 1, 3, 11, 13, 15, 27, 29
4.4: 1-7odd, 9-12, 19-33odd, 41-49odd, 51-71odd, 73-75.
Fri 21 Sep
More on exponentials, interest rates
Ch.2 Sec.1: Slope of a function, Derivative
2.1: 7-15odd, 19-47odd, 53-58
Tues 25 Sep
Ch.2 Sec.2,4: Rules of differentiation 2.2: 1-23 odd, 31-35odd, 45-59odd
2.4: 1-19odd, 31-43odd, 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: 13-19odd, 21-36, 47-69odd, 71.
2.6: 1-11odd, 13, 17, 25, 31
2.7: 1-25odd
4.3: 1-19odd, 21-25, 27-30, 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: 1-21odd, 45-49odd, 53, 57
4.6: 11, 13, 15, 19, 23
3.1: 1, 3, 5, 7, 11-33odd, 35, 37
Fri 12 Oct Sec.3.2: Extrema and First-Derivative Test 3.2: 1-11, 19-26
Tues 16 Oct Sec.3.3: Concavity and Second Derivative
Sec.3.4: Optimization Problems
3.3: 5-11, 13, 33 3.4: 5-9,11, 13, 15
Fri 19 Oct Sec.3.5: Optimization problems / Business and Economics 3.5: 15, 19, 20, 21, 27-31
Tues 23 Oct Study Week -- no class
Fri 26 Oct Study Week -- no class
Tues 30 Oct Sec.3.6: Asymptotes 3.6: 9-13, 15-20, 25-32, 61,
Fri 2 Nov Sec.3.7: Curve Sketching 3.7: 1-21odd, 27, 35, 36.
Tues 6 Nov Sec.5.1: Antiderivatives and Indefinite Integral 5.1: 1-36odd, 41, 45, 47, 49.
Fri 9 Nov Sec.5.2: The General Power Rule
Sec.5.3: Integral of Exponential and Logarithm
5.2: 1-7odd, 9-33odd, 37, 41, 43, 44, 45.
5.3: 1-29, 31-37
Tues 13 Nov Midterm #2
Fri 16 Nov Sec.5.4: Area and Fundamental Theorem of Calculus 5.4: 9-37 odd, 43-46
Tues 20 Nov Sec.5.5: Area Between two Functions
5.5: 1-12, 15-30odd, 41-46.
Fri 23 Nov Sec.6.1: Integration by Parts
Sec.6.4 : Improper Integrals
6.1: 1-38, 39-45odd, 47
6.4: 1-26.
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: 1-21odd, 39-49odd, 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 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

Problems-8th Edition

  • 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
  • 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
  • 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


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

Problems-8th Edition

  • 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
  • Odd numbered problems:
    Sec.2.1: 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

Problems-8th Edition

  • Odd numbered problems:
    Sec.2.2: 3-19, 27-53, 57
    Sec.2.4: 1-9, 23-35, 45
  • Odd numbered problems:
    Sec.2.3: 17-31,39,41
  • 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

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

Problems-8th Edition

  • Sec.4.5: 1-23, 47, 51, 53
  • Odd numbered problems:
    Sec 3.1:1-17,29
  • Odd numbered problems:
    Sec.3.2: 1-11, 19-27

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

Problems-8th Edition

  • Sec.4.6: 11, 13, 15, 23, 24.
  • Odd numbered problems:
    Sec.3.3: 1-15, 27-31, 47
    Sec.3.4: 1-7, 13-23, 35
  • Odd numbered problems:
    Sec.3.5: 1-3, 9-11, 15, 19, 20, 21, 27-33

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

Problems-8th Edition

  • Odd numbered problems:
    Sec.3.6: 1-27, 39, 41, 47, 51, 53
  • Odd numbered problems:
    Sec.3.7: 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

Problems-8th Edition

  • Odd numbered problems:
    Sec.5.1: 1-19, 33-39, 49, 51, 53
  • Odd numbered problems:
    Sec.5.2: 1-27, 35-39, 43, 45
    Sec.5.3: 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

Problems-8th Edition

  • Odd numbered problems:
    Sec.5.4: 1-35, 43, 57
  • Odd numbered problems:
    Sec.5.5: 1-29, 41-44


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

Problems-8th Edition

  • Odd numbered problems:
    Sec.6.1: 1-25, 33, 39, 41

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

Problems-8th Edition

  • Odd numbered problems:
    Sec.6.5: 1-22

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

Problems-8th Edition

  • Odd numbered problems:
    Sec.7.1: 1-11
    Sec.7.3: 1-9, 15-37
  • Odd numbered problems:
    Sec.7.4: 1-11, 15-27, 39, 43-51, 55-63
    Sec.7.5: 1-23, 37-41