| Choosing a Product |
| Scientific WorkPlace |
| Scientific Word |
| Scientific Notebook |
| Calculus:
Concepts and Methods CD |
| MuPAD Pro Computer Algebra |
| Software Licenses |
Related
Products  |
| Scientific Viewer |
| Localized Products |
| Spell Checkers |
| Voice Input |
| Braille Output |
| Books |
| Free Trial Versions |
|
Darel Hardy, Fred Richman, Carol Walker, and Robert Wisner ©2005 Publisher: MacKichan Software, Inc. ISBN: 0-9766806-9-6 Read more about Calculus: Understanding Its Concepts and Methods or about other books from MacKichan Software. |
0.0 Introduction
0.1 Ways to define a function
0.2 Polynomials and rational functions
0.3 Transcendental functions
0.4 Plotting equations
0.5 Parametric curves
0.6 Shifting, scaling, and combining functions
1.0 Introduction
1.2 Local linearity
1.3 Limits
1.4 Continuity
1.5 The derivative at a point
1.6 Derivatives as functions
1.7 Asymptotic behavior
2.0 Introduction
2.1 Product and quotient rules
2.2 Chain rule
2.3 Derivatives of trigonometric functions
2.4 Differentiating implicit functions
2.5 Higher derivatives
2.6 Differentials
2.7 Parametric curves
3.0 Introduction
3.1 Extreme values
3.2 Mean value theorem
3.3 Shape of a graph
3.4 Optimization
3.5 Newton's method
3.6 Indeterminate forms
3.7 Related rates
4.0 Introduction
4.1 Area function
4.2 Antiderivatives
4.3 Definite integrals
4.4 Fundamental theorem of calculus
4.5 Change of variable
5.0 Introduction
5.1 Velocity and acceleration
5.2 Area between curves
5.3 Volume by cross sections
5.4 Volume by cylindrical shells
5.5 Average value of a function
6.0 Introduction
6.1 Inverse functions
6.2 Natural logarithm
6.3 Exponential functions
6.4 Inverse trigonometric functions
6.5 Hyperbolic functions
7.0 Introduction
7.1 Integration by parts
7.2 Trigonometric functions
7.3 Trigonometric substitution
7.4 Partial fractions
7.5 Tables of integrals and further substitutions
7.6 Improper integrals
8.0 Introduction
8.1 Polar coordinates
8.2 Arc length
8.3 Surface of revolution
8.4 Exponential growth and decay
8.5 Moments and center of mass
9.0 Introduction
9.1 Taylor polynomials
9.2 Polynomial interpolation
9.3 Splines
9.4 Bézier curves
9.5 Rational functions
9.6 Trigonometric functions
10.0 Introduction
10.1 Sequences
10.2 Series
10.3 Convergence tests
10.4 Power series
10.5 Maclaurin and Taylor series
10.6 Complex functions
11.0 Introduction
11.1 Riemann sums
11.2 Simpson's rule
11.3 Taylor polynomials
11.4 Other numerical integration methods
11.5 Euler's method
12.0 Introduction
12.1 Vectors in the plane
12.2 Vectors in space
12.3 Inner products and projections
12.4 Cross product
12.5 Lines and planes
12.6 Cylindrical and spherical coordinate systems
12.7 Surfaces
13.0 Introduction
13.1 Functions of several variables
13.2 Partial derivatives
13.3 Rules for partial derivatives
13.4 Local linearity
13.5 Directional derivatives and the gradient
13.6 Normals and the tangent plane
13.7 Extrema
13.8 Lagrange multipliers
14.0 Introduction
14.1 Double integrals
14.2 Iterated integrals
14.3 Double integrals in polar coordinates
14.4 Surface area
14.5 Triple integrals
14.6 Cylindrical and spherical coordinates
15.0 Introduction
15.1 Space curves
15.2 Derivatives and integrals
15.3 Arc length and curvature
15.4 Velocity and acceleration
16.0 Introduction
16.1 Vector fields
16.2 Line integrals
16.3 Green's theorem
16.4 Surface integrals
16.6 Divergence theorem
17.0 Introduction
17.1 Solutions to differential equations
17.2 Differential equations with separable variables
17.3 Homogeneous differential equations
17.4 Exact differential equations
17.5 Exactness from integrating factors
A0: Introduction
A1: 2D Animations
A2: 3D Plots
A3: 3D Animations
B.1 Marginal analysis
B.2 Interest
B.3 Consumer and producer surplus
B.4 Probability
B.5 Expected value
C.1 Complex numbers
D0: Introduction
D1: Matrices and vectors
D2: Determinants
D3: Geometric transformations in two dimensions
D4: Geometric transformations in three dimensions
E.1 Work
E.2 Pressure
E.3 Moments of inertia