Maple worksheets on series |
More calculus topics:
- Infinite Series
- Hyperbolic Functions
- Multi-variable calculus
- The Lambert W function
The following Maple worksheets can be downloaded.
They are all compatible with Classic Worksheet Maple 10.
An introduction to series - series.mws
- Examples of convergent sequences
- Divergent sequences
- Series and convergence of series
- Geometric series
- Convergence of bounded monotonic sequences
Convergence of series - converge.mws
- Examples infinite series
- The comparison test for convergence
The harmonic series - harmonic.mws
- Calculations of partial sums of the harmonic series
- Euler's constant
Slow-growing divergent series - worms.mws
- An example of a slow growing divergent series
- Clifford Pickover's "infinity worms"
Alternating series and absolute convergence - altabs.mws
- Alternating series
- Absolutely convergent series
The integral test for convergence of series - inttest.mws
- The integral test
- p- series
Ratio tests for convergence of series - ratio.mws
- The ratio test
- Raabe's test
Bracketing terms of series and connection with convergence - bracket.mws
- Bracketing terms of a series
- Bracketing and convergence
Euler's transformation of an alternating series - eulersum.mws
- Example's of applying Euler's transformation to an alternating series
- Derivation of Euler's transformation formula
- Symbolic construction of Euler's transformation formula
- Wijngaarden's modification of Euler's transformation
- A procedure which uses Euler's transformation to sum a series numerically: eulersum
Levin's u transform - levinsum
- Levin's u transform
- A procedure for constructing Levin's u transform: levinU
- Levin's u transform of some standard series
- A procedure which uses Levin's u transform to sum a series numerically: levinsum
The Euler-Maclaurin summation formula - eulermac.mws
- Euler's integral summation formula
- Certain Fourier series involving Bernoulli polynomials and Bernoulli numbers
- Sums of p-series where p is even
- Derivation of the Euler-Maclaurin summation formula
- The Euler-Maclaurin summation formula for infinite series
Summing series using the Euler-Maclaurin summation formula - EMsum.mws
- Examples involving an application of the Euler-Maclaurin summation formula
- A procedure which uses the Euler-Maclaurin summation formula to sum a series numerically: EMsum
Rearrangement of series - rearrange.mws
- Rearrangement of terms in a conditionally convergent series
- A procedure for rearranging the terms of an alternating series: arrange
Procedures for series - series.zip