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Crowell and Slesnick's Calculus with Analytic Geometry
Crowell and Slesnick's Calculus with Analytic Geometry
Created 3 November 2024
Managed by
Bot
Mathematics
Introduction to Calculus
83
Pages
0
Questions
734
Exercises
Content
Questions
Exams
Performance
Functions, Limits, and Derivatives
Real Numbers, Inequalities, Absolute Values
0
13
Ordered Pairs of Real Numbers, the $xy$-Plane, Functions
0
11
Operations with Functions
0
13
Limits and Continuity
0
14
Straight Lines and Their Equations
0
9
The Derivative
0
12
Derivatives of Polynomials and Rational Functions
0
15
The Chain Rule
0
14
Implicit Differentiation
0
6
Applications of the Derivative
Curve Sketching
0
10
Maximum and Minimum Problems
0
22
Rates of Change with respect to Time
0
15
Approximate Values
0
10
Rolle's Theorem and Its Consequences
0
6
The Differential
0
8
L'Hôpital's Rule
0
6
Conic Sections
Overview
0
0
The Circle
0
10
The Parabola
0
13
The Ellipse
0
13
The Hyperbola
0
16
Integration
Overview
0
0
The Definite Integral
0
9
Sequences and Summations
0
11
Integrability of Monotonic Functions
0
5
Properties of the Definite Integral
0
11
The Fundamental Theorem of Calculus
0
14
Indefinite Integrals
0
10
Area between Curves
0
14
Integrals of Velocity and Acceleration
0
11
Logarithms and Exponential Functions
The Natural Logarithm
0
10
The Exponential Function
0
15
Inverse Function Theorems
0
6
Other Exponential and Logarithm Functions
0
13
Introduction to Differential Equations
0
15
Trigonometric Functions
Overview
0
0
Sine and Cosine
0
10
Calculus of Sine and Cosine
0
9
Other Trigonometric Functions
0
13
Inverse Trigonometric Functions
0
12
Algebraic and Transcendental Functions
0
3
Complex Numbers
0
11
The Complex Exponential Function $e^{z}$
0
10
Differential Equations
0
10
Techniques of Integration
Overview
0
0
Integration by Parts
0
7
Integrals of Trigonometric Functions
0
8
Trigonometric Substitutions
0
9
Partial Fractions
0
8
Other Substitutions
0
4
The Definite Integral (Continued)
Average Value of a Function
0
9
Riemann Sums and the Trapezoid Rule
0
6
Numerical Approximations (Continued)
0
10
Volume
0
13
Work
0
8
Integration of Discontinuous Functions
0
6
Improper Integrals
0
10
Infinite Series
Overview
0
0
Sequences and Their Limits
0
8
Infinite Series: Definition and Properties
0
8
Nonnegative Series
0
5
Alternating Series
0
5
Absolute and Conditional Convergence
0
6
Power Series
0
6
Functions Defined by Power Series
0
11
Taylor Series
0
13
Geometry in the Plane
Overview
0
0
Parametrically Defined Curves
0
9
Arc Length of a Parametrized Curve
0
9
Vectors in the Plane
0
9
The Derived Vector of a Parametrized Curve
0
9
Vector Velocity and Acceleration
0
8
Polar Coordinates
0
13
Area and Arc Length in Polar Coordinates
0
13
Differential Equations
Review
0
7
First-Order Linear Differential Equations
0
3
Linear Differential Operators
0
12
Homogeneous Differential Equations
0
7
Nonhomogeneous Equations
0
5
Hyperbolic Functions
0
12
Appendix A. Properties of Limits
0
0
Appendix B. Properties of the Definite Integral
0
0
Appendix C. Equivalent Definitions of the Integral
0
0
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