MAT1300F - Mathematical Methods I


Professor: Charles Starling

Office: 585 King Edward, Room 311

Phone: 562-5800 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 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.

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 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 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
Thu 15 Jan
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
Tues 20 Jan
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
Thu 22 Jan
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.
Tues 27 Jan
More on exponentials, interest rates
Ch.2 Sec.1: Slope of a function, Derivative
2.1: 7-15odd, 19-47odd, 53-58
Thu 29 Jan
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
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: 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.
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: 1-21odd, 45-49odd, 53, 57
4.6: 11, 13, 15, 19, 23
3.1: 1, 3, 5, 7, 11-33odd, 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 First-Derivative Test 3.2: 1-11, 19-26
Thu 26 Feb 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
Tues 3 Mar Sec.3.5: Optimization problems / Business and Economics 3.5: 15, 19, 20, 21, 27-31
Thu 5 Mar Sec.3.6: Asymptotes
Bonus Quiz
3.6: 9-13, 15-20, 25-32, 61,
Tues 10 Mar Sec.3.7: Curve Sketching 3.7: 1-21odd, 27, 35, 36.
Thu 12 Mar Sec.5.1: Antiderivatives and Indefinite Integral 5.1: 1-36odd, 41, 45, 47, 49.
Tues 17 Mar 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
Thu 19 Mar Sec.5.4: Area and Fundamental Theorem of Calculus 5.4: 9-37 odd, 43-46
Tues 24 Mar Midterm #2
Thu 27 Mar Sec.5.5: Area Between two Functions
5.5: 1-12, 15-30odd, 41-46.
Tues 31 Mar Sec.6.1: Integration by Parts
Sec.6.4 : Improper Integrals
Bonus Quiz #2
6.1: 1-38, 39-45odd, 47
6.4: 1-26.
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: 1-21odd, 39-49odd, 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 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