The Resource 1,001 calculus practice problems for dummies, by PatrickJMT
1,001 calculus practice problems for dummies, by PatrickJMT
Resource Information
The item 1,001 calculus practice problems for dummies, by PatrickJMT represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in LINCC (Libraries in Clackamas County).This item is available to borrow from 1 library branch.
Resource Information
The item 1,001 calculus practice problems for dummies, by PatrickJMT represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in LINCC (Libraries in Clackamas County).
This item is available to borrow from 1 library branch.
 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 stepbystep answer explanations for every problem
 Language
 eng
 Extent
 xii, 601 pages
 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 crosssectional 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. Usubstitution 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
 Isbn
 9781118496718
 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
 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 stepbystep answer explanations for every problem
 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
 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 crosssectional 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. Usubstitution 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
 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 crosssectional 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. Usubstitution 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
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