The Resource Calculus for dummies, by Mark Ryan, founder of the Math Center

Calculus for dummies, by Mark Ryan, founder of the Math Center

Label
Calculus for dummies
Title
Calculus for dummies
Statement of responsibility
by Mark Ryan, founder of the Math Center
Creator
Subject
Language
eng
Summary
This hands-on guide makes calculus manageable-- even if it makes you sweat! Ryan leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1955-
http://library.link/vocab/creatorName
Ryan, Mark
Dewey number
515
Illustrations
illustrations
Index
index present
LC call number
QA303.2
LC item number
.R86 2014
Literary form
non fiction
Series statement
For dummies
http://library.link/vocab/subjectName
  • Calculus
  • Calculus
Label
Calculus for dummies, by Mark Ryan, founder of the Math Center
Instantiates
Publication
Note
Includes index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • pt. I. An overview of calculus -- 1. What is calculus? -- 2. The two big ideas of calculus : differentiation and integration-- Slope -- Rate -- Plus infinite series -- Divergent series -- Convergent series -- 3. Why calculus works -- The limit concept : a mathematical microscope -- Precision -- Infinity --
  • pt. II. Warming up with calculus prerequisites -- 4. Pre-algebra and algebra review -- Fractions -- Multiplying fractions -- Dividing fractions -- Adding fractions -- Subtracting fractions -- Canceling in fractions -- Absolute value -- Powers -- Roots -- Simplifying roots -- Logarithms -- Factoring -- GCF -- Trinomial factoring -- Solving quadratic equations -- Factoring -- The quadratic formula -- Completing the square -- 5. Funky functions and their groovy graphs -- Independent and dependent variables -- Function notation -- Composite functions -- Common functions and their graphs -- Lines in the plane -- Parabolic and absolute value functions -- Couple oddball functions -- Exponential functions -- Logarithmic functions -- Inverse functions -- Horizontal transformations -- Vertical transformations -- 6. The trig tango -- Right triangles -- Unit circle -- Measuring angles with radians -- Hypotenuse -- Graphing sine, cosine, and tangent -- Inverse trig functions -- Trig identities --
  • pt. III. Limits -- 7. Limits and continuity -- One-sided limits -- Limits and vertical asymptotes -- Limits and horizontal asymptotes -- Calculating instantaneous speed with limits -- Linking limits and continuity -- 8. Evaluating limits -- Figuring a limit with your calculator -- Solving limit problems with algebra -- Evaluating limits at infinity -- Limits at infinity and horizontal asymptotes -- Solving limits at infinity with a calculator -- Solving limits at infinity with algebra --
  • pt. IV. Differentiation -- 9. Differentiation orientation -- The slope off a line -- The derivative of a line -- The derivative : it's just a rate -- Calculus on the playground -- Speed -- The rate-slope connection -- The derivative of a curve -- The difference quotient -- Average rate and instantaneous rate -- 10. Differentiation rules : yeah, man, it rules -- Basic differentiation rules -- The constant rule -- The power rule -- The constant multiple rule -- The sum rule -- The difference rule -- Differentiating trig functions -- Differentiating exponential and logarithmic functions -- The product rule -- The quotient rule -- The chain rule -- Differentiating implicitly -- Logarithmic differentiation -- Differentiating inverse functions -- Higher order derivatives -- 11. Differentiation and the shape of curves -- Positive and negative slopes -- Concavity and inflection points -- A local minimum -- The absolute maximum -- Finding local extrema -- Critical numbers -- Finding absolute extrema on a closed interval -- Finding absolute extrema over a function's entire domain -- Locating concavity and inflection points -- Graphs of derivatives -- The mean value theorem -- 12. Your problems are solved : differentiation to the rescue! -- Optimization problems -- Maximum volume of a box -- Maximum area of a corral -- Position, velocity, and acceleration -- Velocity, speed and acceleration -- Maximum and minimum height -- Velocity and displacement -- Speed and distance traveled -- Related rates -- 13. More differentiation problems : going off on a tangent -- Tangents and normals -- The tangent line problem -- The normal line problem -- Linear approximations -- Business and economics problems -- Managing marginals in economics --
  • pt. V. Integration and infinite series -- 14. Intro to integration and approximating area -- Integration : just fancy addition -- Finding the area under a curve -- Approximating area -- Left sums -- Right sums -- Midpoint sums -- Summation notation -- Riemann sums with sigma notation -- Finding exact area with the definite integral -- Trapezoid rule and Simpson's rule (Thomas Simpson 1710-1761) -- 15. Integration : it's backwards differentiation -- Antidifferentiation -- Area function -- Fundamental theorem of calculus -- Antiderivatives -- Finding area with substitution problems -- 16. Integration techniques for experts -- Integration by parts -- Trig integrals -- Integrals containing sines and cosines -- Integrals containing secants and tangents or cosecants -- Trigonometric substitution -- Partial fractions -- 17. Forget Dr. Phil : use the integral to solve problems -- The mean value theorem for integrals and average value -- The area between two curves -- Finding the volumes of weird solids -- Analyzing arc length -- Surfaces of revolution -- 18. Taming the infinite with improper integrals -- L/Hôpital's rule -- Improper integrals -- Improper integrals with vertical asymptotes -- Improper integrals with one or two infinite limits of integration -- 19. Infinite series -- Sequences and series -- Stringing sequences -- Summing series -- Convergence or divergence -- Alternating series --
  • pt. VI. The part of tens -- 20. Ten things to remember -- The product rule -- The quotient rule -- 21. Ten things to forget -- 22. Ten things you can't get away with
Control code
ocn873731891
Dimensions
24 cm
Edition
2nd edition.
Extent
xii, 370 pages
Isbn
9781119293491
Lccn
2013958398
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)873731891
  • (Sirsi) a1755225
Label
Calculus for dummies, by Mark Ryan, founder of the Math Center
Publication
Note
Includes index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • pt. I. An overview of calculus -- 1. What is calculus? -- 2. The two big ideas of calculus : differentiation and integration-- Slope -- Rate -- Plus infinite series -- Divergent series -- Convergent series -- 3. Why calculus works -- The limit concept : a mathematical microscope -- Precision -- Infinity --
  • pt. II. Warming up with calculus prerequisites -- 4. Pre-algebra and algebra review -- Fractions -- Multiplying fractions -- Dividing fractions -- Adding fractions -- Subtracting fractions -- Canceling in fractions -- Absolute value -- Powers -- Roots -- Simplifying roots -- Logarithms -- Factoring -- GCF -- Trinomial factoring -- Solving quadratic equations -- Factoring -- The quadratic formula -- Completing the square -- 5. Funky functions and their groovy graphs -- Independent and dependent variables -- Function notation -- Composite functions -- Common functions and their graphs -- Lines in the plane -- Parabolic and absolute value functions -- Couple oddball functions -- Exponential functions -- Logarithmic functions -- Inverse functions -- Horizontal transformations -- Vertical transformations -- 6. The trig tango -- Right triangles -- Unit circle -- Measuring angles with radians -- Hypotenuse -- Graphing sine, cosine, and tangent -- Inverse trig functions -- Trig identities --
  • pt. III. Limits -- 7. Limits and continuity -- One-sided limits -- Limits and vertical asymptotes -- Limits and horizontal asymptotes -- Calculating instantaneous speed with limits -- Linking limits and continuity -- 8. Evaluating limits -- Figuring a limit with your calculator -- Solving limit problems with algebra -- Evaluating limits at infinity -- Limits at infinity and horizontal asymptotes -- Solving limits at infinity with a calculator -- Solving limits at infinity with algebra --
  • pt. IV. Differentiation -- 9. Differentiation orientation -- The slope off a line -- The derivative of a line -- The derivative : it's just a rate -- Calculus on the playground -- Speed -- The rate-slope connection -- The derivative of a curve -- The difference quotient -- Average rate and instantaneous rate -- 10. Differentiation rules : yeah, man, it rules -- Basic differentiation rules -- The constant rule -- The power rule -- The constant multiple rule -- The sum rule -- The difference rule -- Differentiating trig functions -- Differentiating exponential and logarithmic functions -- The product rule -- The quotient rule -- The chain rule -- Differentiating implicitly -- Logarithmic differentiation -- Differentiating inverse functions -- Higher order derivatives -- 11. Differentiation and the shape of curves -- Positive and negative slopes -- Concavity and inflection points -- A local minimum -- The absolute maximum -- Finding local extrema -- Critical numbers -- Finding absolute extrema on a closed interval -- Finding absolute extrema over a function's entire domain -- Locating concavity and inflection points -- Graphs of derivatives -- The mean value theorem -- 12. Your problems are solved : differentiation to the rescue! -- Optimization problems -- Maximum volume of a box -- Maximum area of a corral -- Position, velocity, and acceleration -- Velocity, speed and acceleration -- Maximum and minimum height -- Velocity and displacement -- Speed and distance traveled -- Related rates -- 13. More differentiation problems : going off on a tangent -- Tangents and normals -- The tangent line problem -- The normal line problem -- Linear approximations -- Business and economics problems -- Managing marginals in economics --
  • pt. V. Integration and infinite series -- 14. Intro to integration and approximating area -- Integration : just fancy addition -- Finding the area under a curve -- Approximating area -- Left sums -- Right sums -- Midpoint sums -- Summation notation -- Riemann sums with sigma notation -- Finding exact area with the definite integral -- Trapezoid rule and Simpson's rule (Thomas Simpson 1710-1761) -- 15. Integration : it's backwards differentiation -- Antidifferentiation -- Area function -- Fundamental theorem of calculus -- Antiderivatives -- Finding area with substitution problems -- 16. Integration techniques for experts -- Integration by parts -- Trig integrals -- Integrals containing sines and cosines -- Integrals containing secants and tangents or cosecants -- Trigonometric substitution -- Partial fractions -- 17. Forget Dr. Phil : use the integral to solve problems -- The mean value theorem for integrals and average value -- The area between two curves -- Finding the volumes of weird solids -- Analyzing arc length -- Surfaces of revolution -- 18. Taming the infinite with improper integrals -- L/Hôpital's rule -- Improper integrals -- Improper integrals with vertical asymptotes -- Improper integrals with one or two infinite limits of integration -- 19. Infinite series -- Sequences and series -- Stringing sequences -- Summing series -- Convergence or divergence -- Alternating series --
  • pt. VI. The part of tens -- 20. Ten things to remember -- The product rule -- The quotient rule -- 21. Ten things to forget -- 22. Ten things you can't get away with
Control code
ocn873731891
Dimensions
24 cm
Edition
2nd edition.
Extent
xii, 370 pages
Isbn
9781119293491
Lccn
2013958398
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)873731891
  • (Sirsi) a1755225

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