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| Chapter | Section | Applet | Date | PostScript | |
|---|---|---|---|---|---|
| Sequences, limits, and difference equations | Calculus: areas and tangents | Area of a circle Tangent line for a parabola |
04-07-02 | ||
| Sequences | 11-07-04 | ||||
| The sum of a sequence | 08-21-04 | ||||
| Difference equations | 04-07-02 | ||||
| Nonlinear difference equations | Inhibited population growth | 04-07-02 | |||
| Functions and and their properties | Functions and their graphs | 04-07-02 | |||
| Trigonometric functions | Square wave approximation Sound wave approximation |
04-07-02 | |||
| Limits and the notion of continuity | 08-25-02 | ||||
| Continuous functions | 10-01-04 | ||||
| Some consequences of continuity | 04-02-02 | ||||
| Best affine approximations | Best affine approximations | Affine approximations | 04-07-02 | ||
| Best affine approximations, derivatives and rates of change | 04-07-02 | ||||
| Differentiation of polynomials and rational functions | 04-07-02 | ||||
| Differentiation of compositions of functions | 04-07-02 | ||||
| Differentiation of trigonometric functions | 04-07-02 | ||||
| Newton's method | Newton's method | 04-07-02 | |||
| Rolle's Theorem and the Mean Value Theorem | 04-07-02 | ||||
| Finding maximum and minimum values | 04-07-02 | ||||
| The geometry of graphs | 04-07-02 | ||||
| Integration | The definite integral | 06-21-02 | |||
| Numerical approximations of definite integrals | Numerical integration rules | 04-07-02 | |||
| The fundamental theorem of calculus | Cumulative area | 04-07-02 | |||
| Using the fundamental theorem | Change of variable | 04-07-02 | |||
| More techniques of integration | 04-07-02 | ||||
| Improper integrals | 04-07-02 | ||||
| More on area | 04-07-02 | ||||
| Distance, position, and the length of curves | 04-07-02 | ||||
| Polynomial approximations and Taylor series | Polynomial approximations | Taylor polynomials | 04-07-02 | ||
| Taylor's Theorem | |
04-07-02 | |||
| Infinite series revisited | 04-07-02 | ||||
| Infinite series: the comparison test | 04-07-02 | ||||
| Infinite series: the ratio test | 04-07-02 | ||||
| Infinite series: absolute convergence | 04-07-02 | ||||
| Power series | 04-07-02 | ||||
| Taylor series | 04-07-02 | ||||
| Some limit calculations | 04-07-02 | ||||
| More transcendental functions | The exponential function | 09-16-04 | |||
| The natural logarithm function | 04-07-02 | ||||
| Models of growth and decay | 04-07-02 | ||||
| Integration of rational functions | 04-07-02 | ||||
| Inverse trigonometric functions | 04-07-02 | ||||
| Trigonometric substitutions | 04-07-02 | ||||
| Hyperbolic functions | 04-07-02 | ||||
| The complex plane | The algebra of complex numbers | 04-07-02 | |||
| The calculus of complex functions | 06-15-04 | ||||
| Complex-valued functions: motion in the plane | Projectile motion | 04-07-02 | |||
| The two-body problem | 04-07-02 | ||||
| Differential equations | Numerical solutions of differential equations | Euler's method | 04-07-02 | ||
| Separation of variables | 04-07-02 | ||||
| First order linear differential equations | 10-16-02 | ||||
| Second order linear differential equations | 04-07-02 | ||||
| Applications: pendulums and mass-spring systems | 04-07-02 | ||||
| The geometry of solutions: the phase plane | Phase plane for a pendulum | 04-07-02 | |||
| Power series solutions | 04-07-02 | ||||