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The Resource 1,001 calculus practice problems for dummies, by PatrickJMT

1,001 calculus practice problems for dummies, by PatrickJMT

Label
1,001 calculus practice problems for dummies
Title
1,001 calculus practice problems for dummies
Statement of responsibility
by PatrickJMT
Title variation
  • 1001 calculus practice problems for dummies
  • One thousand and one calculus practice problems for dummies
  • Thousand and one calculus practice problems for dummies
  • 1,001 practice problems calculus for dummies
  • Calculus for dummies
Creator
Author
Subject
Genre
Language
eng
Summary
A required course for many college majors, calculus often inspires dread. Calculus is tough, and to get it right you need to practice, practice, practice. This guide gives you the practice you need, complete with step-by-step answer explanations for every problem
Member of
Cataloging source
UKMGB
http://library.link/vocab/creatorName
PatrickJMT
Dewey number
515.076
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Series statement
For dummies
http://library.link/vocab/subjectName
Calculus
Label
1,001 calculus practice problems for dummies, by PatrickJMT
Instantiates
Publication
Copyright
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
  • text
  • still image
Content type code
  • txt
  • sti
Content type MARC source
  • rdacontent
  • rdacontent
Contents
  • part I. The questions -- 1. Algebra review -- Simplifying fractions -- Simplifying radicals -- Writing exponents using radical notation -- The horizontal line test -- Find inverses algebraically -- The domain and range of a function and its inverse -- Linear equations -- Quadratic equations -- Solving polynomial equations by factoring -- Absolute value equations -- Solving rational equations -- Polynomial and rational inequalities -- Absolute value inequalities -- Graphing common functions -- Domain and range from a graph -- End behavior of polynomials -- Adding polynomials -- Subtracting polynomials -- Multiplying polynomials -- Long division of polynomials -- 2. Trigonometry review -- Basic trigonometry -- Converting degree measure to radian measure -- Converting radian measure to degree measure -- Finding angles in the coordinate plane -- Finding common trigonometric values -- Simplifying trigonometric expressions -- Solving trigonometric equations -- Amplitude, period, phase shift, and midline -- Equations of periodic functions -- Inverse trigonometric function basics -- Solving trigonometric equations using inverses -- 3. Limits and rates of change -- Finding limits from graphs -- Evaluating limits -- Applying the squeeze theorem -- Evaluating trigonometric limits -- Infinite limits -- Limits from graphs -- Limits at infinity -- Horizontal asymptotes -- Classifying discontinuities -- Continuity and discontinuities -- Making a function continuous -- The intermediate value theorem -- 4. Derivative basics -- Determining differentiability from a graph -- Finding the derivative by using the definition -- Finding the value of the derivative using a graph -- Using the power rule to find derivatives -- Finding all points on a graph where tangent lines have a given value -- 5. The product, quotient, and chain rules -- Using the product rule to find derivatives -- Using the quotient rule to find derivatives -- Using the chain rule to find derivatives -- Chain rule problems -- 6. Exponential and logarithmic functions and tangent lines -- Derivatives involving logarithmic functions -- Logarithmic differentiation to find the derivative -- Finding derivatives of functions involving exponential functions -- Finding equations of tangent lines -- Finding equations of normal lines -- 7. Implicit differentiation -- Using implicit differentiation to find a derivative -- Using implicit differentiation to find a second derivative -- Finding equations of tangent lines using implicit differentiation -- 8. Applications of derivatives -- Finding and evaluating differentials -- Finding linearizations -- Using linearizations to estimate values -- Understanding related rates -- Finding maxima and minima from graphs -- Using the closed interval method -- Finding intervals of increase and decrease -- Using the first derivative test to find local maxima and minima -- Determining concavity -- Identifying inflection points -- Using the second derivative test to find local maxima and minima -- Applying Rolle's theorem -- Using the mean value theorem -- applying the mean value theorem to solve problems -- Relating velocity and position -- finding velocity and speed -- Solving optimization problems -- Doing approximations using Newton's method -- Approximating roots using Newton's method
  • 9. Areas and Riemann sums -- Calculating Riemann sums using left endpoints -- Calculating Riemann sums using right endpoints -- Calculating Riemann sums using midpoints -- Using limits and Riemann sums to find expressions for definite integrals -- Finding a definite integral from the limit and Riemann sum form -- Using limits and Riemann sums to evaluate definite integrals -- 10. The fundamental theorem of calculus and the net change theorem -- Using the fundamental theorem of calculus to find derivatives -- Working with basic examples of definite integrals -- Basic indefinite integrals -- Finding the displacement of a particle given the velocity -- Finding the distance traveled by a particle given the velocity -- Finding the displacement of a particle given acceleration -- Finding the distance traveled by a particle given acceleration -- 11. Applications of integration -- Areas between curves -- Finding volumes using disks and washers -- Finding volume using cross-sectional slices -- Finding volumes using cylindrical shells -- Work problems -- Average value of a function -- 12. Inverse trigonometric functions, hyperbolic functions, and L'Hô̂pital's rule -- Finding derivatives involving inverse trigonometric functions -- Finding antiderivatives by using inverse trigonometric functions -- Evaluating hyperbolic functions using their definitions -- Finding derivatives of hyperbolic functions -- Finding antiderivatives of hyperbolic functions -- Evaluating indeterminate forms using L'Hôpital's Rule -- 13. U-substitution and integration by parts -- 14. Trigonometric integrals, trigonometric substitution, and partial functions -- Integrals involving partial fractions -- Rationalizing substitutions -- 15. Improper integrals and more approximating techniques -- Convergent and divergent improper integrals -- The comparison test for integrals -- The Trapezoid Rule -- Simpson's Rule -- part II. The answers --16. Answers and explanation
Control code
ocn872707671
Dimensions
26 cm.
Extent
xii, 601 pages
Isbn
9781118496718
Lccn
2013954232
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)872707671
  • i9781118496718
Label
1,001 calculus practice problems for dummies, by PatrickJMT
Publication
Copyright
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
  • text
  • still image
Content type code
  • txt
  • sti
Content type MARC source
  • rdacontent
  • rdacontent
Contents
  • part I. The questions -- 1. Algebra review -- Simplifying fractions -- Simplifying radicals -- Writing exponents using radical notation -- The horizontal line test -- Find inverses algebraically -- The domain and range of a function and its inverse -- Linear equations -- Quadratic equations -- Solving polynomial equations by factoring -- Absolute value equations -- Solving rational equations -- Polynomial and rational inequalities -- Absolute value inequalities -- Graphing common functions -- Domain and range from a graph -- End behavior of polynomials -- Adding polynomials -- Subtracting polynomials -- Multiplying polynomials -- Long division of polynomials -- 2. Trigonometry review -- Basic trigonometry -- Converting degree measure to radian measure -- Converting radian measure to degree measure -- Finding angles in the coordinate plane -- Finding common trigonometric values -- Simplifying trigonometric expressions -- Solving trigonometric equations -- Amplitude, period, phase shift, and midline -- Equations of periodic functions -- Inverse trigonometric function basics -- Solving trigonometric equations using inverses -- 3. Limits and rates of change -- Finding limits from graphs -- Evaluating limits -- Applying the squeeze theorem -- Evaluating trigonometric limits -- Infinite limits -- Limits from graphs -- Limits at infinity -- Horizontal asymptotes -- Classifying discontinuities -- Continuity and discontinuities -- Making a function continuous -- The intermediate value theorem -- 4. Derivative basics -- Determining differentiability from a graph -- Finding the derivative by using the definition -- Finding the value of the derivative using a graph -- Using the power rule to find derivatives -- Finding all points on a graph where tangent lines have a given value -- 5. The product, quotient, and chain rules -- Using the product rule to find derivatives -- Using the quotient rule to find derivatives -- Using the chain rule to find derivatives -- Chain rule problems -- 6. Exponential and logarithmic functions and tangent lines -- Derivatives involving logarithmic functions -- Logarithmic differentiation to find the derivative -- Finding derivatives of functions involving exponential functions -- Finding equations of tangent lines -- Finding equations of normal lines -- 7. Implicit differentiation -- Using implicit differentiation to find a derivative -- Using implicit differentiation to find a second derivative -- Finding equations of tangent lines using implicit differentiation -- 8. Applications of derivatives -- Finding and evaluating differentials -- Finding linearizations -- Using linearizations to estimate values -- Understanding related rates -- Finding maxima and minima from graphs -- Using the closed interval method -- Finding intervals of increase and decrease -- Using the first derivative test to find local maxima and minima -- Determining concavity -- Identifying inflection points -- Using the second derivative test to find local maxima and minima -- Applying Rolle's theorem -- Using the mean value theorem -- applying the mean value theorem to solve problems -- Relating velocity and position -- finding velocity and speed -- Solving optimization problems -- Doing approximations using Newton's method -- Approximating roots using Newton's method
  • 9. Areas and Riemann sums -- Calculating Riemann sums using left endpoints -- Calculating Riemann sums using right endpoints -- Calculating Riemann sums using midpoints -- Using limits and Riemann sums to find expressions for definite integrals -- Finding a definite integral from the limit and Riemann sum form -- Using limits and Riemann sums to evaluate definite integrals -- 10. The fundamental theorem of calculus and the net change theorem -- Using the fundamental theorem of calculus to find derivatives -- Working with basic examples of definite integrals -- Basic indefinite integrals -- Finding the displacement of a particle given the velocity -- Finding the distance traveled by a particle given the velocity -- Finding the displacement of a particle given acceleration -- Finding the distance traveled by a particle given acceleration -- 11. Applications of integration -- Areas between curves -- Finding volumes using disks and washers -- Finding volume using cross-sectional slices -- Finding volumes using cylindrical shells -- Work problems -- Average value of a function -- 12. Inverse trigonometric functions, hyperbolic functions, and L'Hô̂pital's rule -- Finding derivatives involving inverse trigonometric functions -- Finding antiderivatives by using inverse trigonometric functions -- Evaluating hyperbolic functions using their definitions -- Finding derivatives of hyperbolic functions -- Finding antiderivatives of hyperbolic functions -- Evaluating indeterminate forms using L'Hôpital's Rule -- 13. U-substitution and integration by parts -- 14. Trigonometric integrals, trigonometric substitution, and partial functions -- Integrals involving partial fractions -- Rationalizing substitutions -- 15. Improper integrals and more approximating techniques -- Convergent and divergent improper integrals -- The comparison test for integrals -- The Trapezoid Rule -- Simpson's Rule -- part II. The answers --16. Answers and explanation
Control code
ocn872707671
Dimensions
26 cm.
Extent
xii, 601 pages
Isbn
9781118496718
Lccn
2013954232
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)872707671
  • i9781118496718

Library Locations

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      10660 SE 21st Avenue, Milwaukie, OR, 97222, US
      45.4460742 -122.6403107
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