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E-raamat: Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice)

(University of Louisville, KY)
  • Formaat: PDF+DRM
  • Ilmumisaeg: 21-Apr-2022
  • Kirjastus: For Dummies
  • Keel: eng
  • ISBN-13: 9781119883661
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Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice)Suurem pilt
  • Formaat: PDF+DRM
  • Ilmumisaeg: 21-Apr-2022
  • Kirjastus: For Dummies
  • Keel: eng
  • ISBN-13: 9781119883661
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"The perfect companion to Calculus For Dummies...this book offers readers challenging practice problems with step-by-step and detailed answer explanations and narrative walkthroughs. You'll get free access to all 1,001 practice problems online so you cancreate your own study sets for extra-focused learning"--

Practice your way to a higher grade in Calculus!

Calculus is a hands-on skill. You’ve gotta use it or lose it. And the best way to get the practice you need to develop your mathematical talents is Calculus: 1001 Practice Problems For Dummies.

The perfect companion to Calculus For Dummies—and your class— this book offers readers challenging practice problems with step-by-step and detailed answer explanations and narrative walkthroughs. You’ll get free access to all 1,001 practice problems online so you can create your own study sets for extra-focused learning.

Readers will also find:

  • A useful course supplement and resource for students in high school and college taking Calculus I
  • Free, one-year access to all practice problems online, for on-the-go study and practice
  • An excellent preparatory resource for faster-paced college classes

Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice) is an essential resource for high school and college students looking for more practice and extra help with this challenging math subject.

Calculus: 1001 Practice Problems For Dummies (9781119883654) was previously published as 1,001 Calculus Practice Problems For Dummies (9781118496718). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

Introduction 1(4)
What You'll Find
1(1)
Beyond the Book
2(1)
Where to Go for Additional Help
2(3)
PART 1 THE QUESTIONS
5(122)
Chapter 1 Algebra Review
7(10)
The Problems You'll Work On
7(1)
What to Watch Out For
7(1)
Simplifying Fractions
8(1)
Simplifying Radicals
8(1)
Writing Exponents Using Radical Notation
9(1)
The Horizontal Line Test
9(1)
Find Inverses Algebraically
10(1)
The Domain and Range of a Function and Its Inverse
10(1)
Linear Equations
10(1)
Quadratic Equations
11(1)
Solving Polynomial Equations by Factoring
11(1)
Absolute Value Equations
12(1)
Solving Rational Equations
12(1)
Polynomial and Rational Inequalities
12(1)
Absolute Value Inequalities
13(1)
Graphing Common Functions
13(1)
Domain and Range from a Graph
14(1)
End Behavior of Polynomials
15(1)
Adding Polynomials
15(1)
Subtracting Polynomials
15(1)
Multiplying Polynomials
16(1)
Long Division of Polynomials
16(1)
Chapter 2 Trigonometry Review
17(12)
The Problems You'll Work On
17(1)
What to Watch Out For
17(1)
Basic Trigonometry
18(1)
Converting Degree Measure to Radian Measure
18(1)
Converting Radian Measure to Degree Measure
19(1)
Finding Angles in the Coordinate Plane
19(2)
Finding Common Trigonometric Values
21(1)
Simplifying Trigonometric Expressions
21(1)
Solving Trigonometric Equations
22(1)
Amplitude, Period, Phase Shift, and Midline
23(1)
Equations of Periodic Functions
24(2)
Inverse Trigonometric Function Basics
26(1)
Solving Trigonometric Equations Using Inverses
27(2)
Chapter 3 Limits and Rates of Change
29(14)
The Problems You'll Work On
29(1)
What to Watch Out For
29(1)
Finding Limits from Graphs
30(1)
Evaluating Limits
31(1)
Applying the Squeeze Theorem
32(1)
Evaluating Trigonometric Limits
33(1)
Infinite Limits
33(3)
Limits from Graphs
36(1)
Limits at Infinity
37(1)
Horizontal Asymptotes
38(1)
Classifying Discontinuities
38(1)
Continuity and Discontinuities
39(1)
Making a Function Continuous
40(1)
The Intermediate Value Theorem
41(2)
Chapter 4 Derivative Basics
43(6)
The Problems You'll Work On
43(1)
What to Watch Out For
43(1)
Determining Differentiability from a Graph
44(1)
Finding the Derivative by Using the Definition
45(1)
Finding the Value of the Derivative Using a Graph
46(1)
Using the Power Rule to Find Derivatives
47(1)
Finding All Points on a Graph Where Tangent Lines Have a Given Value
48(1)
Chapter 5 The Product, Quotient, and Chain Rules
49(6)
The Problems You'll Work On
49(1)
What to Watch Out For
49(1)
Using the Product Rule to Find Derivatives
50(1)
Using the Quotient Rule to Find Derivatives
51(2)
Using the Chain Rule to Find Derivatives
53(1)
More Challenging Chain Rule Problems
54(1)
Chapter 6 Exponential and Logarithmic Functions and Tangent Lines
55(4)
The Problems You'll Work On
55(1)
What to Watch Out For
55(1)
Derivatives Involving Logarithmic Functions
56(1)
Logarithmic Differentiation to Find the Derivative
56(1)
Finding Derivatives of Functions Involving Exponential Functions
57(1)
Finding Equations of Tangent Lines
58(1)
Finding Equations of Normal Lines
58(1)
Chapter 7 Implicit Differentiation
59(4)
The Problems You'll Work On
59(1)
What to Watch Out For
59(1)
Using Implicit Differentiation to Find a Derivative
60(1)
Using Implicit Differentiation to Find a Second Derivative
60(1)
Finding Equations of Tangent Lines Using Implicit Differentiation
61(2)
Chapter 8 Applications of Derivatives
63(12)
The Problems You'll Work On
63(1)
What to Watch Out For
63(1)
Finding and Evaluating Differentials
64(1)
Finding Linearizations
64(1)
Using Linearizations to Estimate Values
64(1)
Understanding Related Rates
65(1)
Finding Maxima and Minima from Graphs
66(1)
Using the Closed Interval Method
67(1)
Finding Intervals of Increase and Decrease
68(1)
Using the First Derivative Test to Find Local Maxima and Minima
68(1)
Determining Concavity
69(1)
Identifying Inflection Points
69(1)
Using the Second Derivative Test to Find Local Maxima and Minima
69(1)
Applying Rolle's Theorem
70(1)
Using the Mean Value Theorem
70(1)
Applying the Mean Value Theorem to Solve Problems
70(1)
Relating Velocity and Position
71(1)
Finding Velocity and Speed
71(1)
Solving Optimization Problems
72(1)
Doing Approximations Using Newton's Method
73(1)
Approximating Roots Using Newton's Method
74(1)
Chapter 9 Areas and Riemann Sums
75(4)
The Problems You'll Work On
75(1)
What to Watch Out For
75(1)
Calculating Riemann Sums Using Left Endpoints
76(1)
Calculating Riemann Sums Using Right Endpoints
76(1)
Calculating Riemann Sums Using Midpoints
77(1)
Using Limits and Riemann Sums to Find Expressions for Definite Integrals
77(1)
Finding a Definite Integral from the Limit and Riemann Sum Form
78(1)
Using Limits and Riemann Sums to Evaluate Definite Integrals
78(1)
Chapter 10 The Fundamental Theorem of Calculus and the Net Change Theorem
79(8)
The Problems You'll Work On
79(1)
What to Watch Out For
80(1)
Using the Fundamental Theorem of Calculus to Find Derivatives
80(1)
Working with Basic Examples of Definite Integrals
81(1)
Understanding Basic Indefinite Integrals
82(2)
Understanding the Net Change Theorem
84(1)
Finding the Displacement of a Particle Given the Velocity
85(1)
Finding the Distance Traveled by a Particle Given the Velocity
85(1)
Finding the Displacement of a Particle Given Acceleration
86(1)
Finding the Distance Traveled by a Particle Given Acceleration
86(1)
Chapter 11 Applications of Integration
87(14)
The Problems You'll Work On
87(1)
What to Watch Out For
87(1)
Areas between Curves
88(1)
Finding Volumes Using Disks and Washers
89(2)
Finding Volume Using Cross-Sectional Slices
91(1)
Finding Volumes Using Cylindrical Shells
92(2)
Work Problems
94(4)
Average Value of a Function
98(3)
Chapter 12 Inverse Trigonometric Functions, Hyperbolic Functions, and L'Hopital's Rule
101(8)
The Problems You'll Work On
101(1)
What to Watch Out For
102(1)
Finding Derivatives Involving Inverse Trigonometric Functions
102(1)
Finding Antiderivatives by Using Inverse Trigonometric Functions
103(1)
Evaluating Hyperbolic Functions Using Their Definitions
104(1)
Finding Derivatives of Hyperbolic Functions
104(1)
Finding Antiderivatives of Hyperbolic Functions
105(1)
Evaluating Indeterminate Forms Using L'Hopital's Rule
105(4)
Chapter 13 U-Substitution and Integration by Parts
109(6)
The Problems You'll Work On
109(1)
What to Watch Out For
109(1)
Using u-Substitutions
110(1)
Using Integration by Parts
111(4)
Chapter 14 Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions
115(8)
The Problems You'll Work On
115(1)
What to Watch Out For
116(1)
Trigonometric Integrals
116(2)
Trigonometric Substitutions
118(1)
Finding Partial Fraction Decompositions (without Coefficients)
119(1)
Finding Partial Fraction Decompositions (Including Coefficients)
120(1)
Integrals Involving Partial Fractions
120(1)
Rationalizing Substitutions
121(2)
Chapter 15 Improper Integrals and More Approximating Techniques
123(4)
The Problems You'll Work On
123(1)
What to Watch Out For
123(1)
Convergent and Divergent Improper Integrals
124(1)
The Comparison Test for Integrals
125(1)
The Trapezoid Rule
126(1)
Simpson's Rule
126(1)
PART 2 THE ANSWERS
127(454)
Chapter 16 Answers and Explanations
129(452)
Index 581
Patrick Jones has a masters degree in Mathematics from the University of Louisville. He has taught at University of Louisville, Vanderbilt University, and Austin Community College. Jones now primarily spends his time expanding his Youtube video library as PatrickJMT.
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