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Maple worksheets on sequences, series and binomial expansions |
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Precalculus topics:
- Functions and graphs
- Trigonometric functions
- Exponential and logarithm functions
- Sequences, series and binomial expansions
- Conic sections
The following Maple worksheets can be downloaded.
They are all compatible with Classic Worksheet Maple 10.
An introduction to sequences including arithmetic sequences - arithseq.mws
- Introductory examples of sequences.
- Graphs of sequences.
- Factorial notation.
- Arithmetic sequences.
An introduction to series - series.mws
- A sum of odd numbers.
- The sum of an arithmetic series.
- Geometric sequences.
- The sum of a finite geometric series.
- A geometric series connected with compound interest on regular periodic deposits.
- The sum of an infinite geometric series.
- The distance travelled by a bouncing ball.
An introduction to counting methods - count.mws
- The multiplication principle.
- Arrangement of n things in a line.
- A procedure for constructing arrangements of distinct items: arrange.
- General permutations of r objects taken from n.
- Using the Maple procedure combinat[permute] to list permutations.
- Selections or combinations.
- Maple procedures connected with combinations: combineperms, permstocombs, combinat[choose].
Pascal's Triangle and binomial expansions - binomial.mws
- Expanding powers of binomials - Pascal's triangle.
- Binomial coefficients and the general binomial expansion.
- A relation between binomial coefficients.
- Constructing Pascal's triangle.
