Chapter 8: Infinite Sequences and Series

Class Notes

• 8.1 Sequences (pdf)
• 8.2 Series (pdf)
• 8.3 The Integral and Comparison Tests; Estimating Sums (pdf)
• 8.4 Other Convergence Tests (pdf)
• 8.5 Power Series (pdf)
• 8.6 Representation of Functions as Power Series (pdf)
• 8.7 Taylor Series and Maclaurin Series (pdf)
• 8.8 Binomial Series (pdf)
• 8.9 Applications of Taylor Polynomials (pdf)
• 8.10 Using Series to Solve Differential Equations (pdf)
• 8 -- Fourier Series (pdf)

Homework

• 8.1 -- 1, 2, 5, 13, 21, 25, 26, 31, 33, 35, 37, 42, 44, 45
• 8.2 -- 1, 2, 4, 6, 9, 17, 21, 25, 28, 31, 34, 40, 42, 47, 53
• 8.3 -- 1, 3, 4, 5, 9, 13, 16, 17, 18, 20, 21, 23, 25, 26, 30, 32
• 8.4 -- 1, 2, 3, 6, 8, 10, 11, 16, 18, 22, 24, 25, 29, 31
• 8.5 -- 1, 2, 7, 8, 9, 10, 18, 20, 22, 23, 25, 27
• 8.6 -- 1, 4, 8, 9, 12, 18, 22, 24, 28, 30, 33, 36
• 8.7 -- 2, 4, 5, 6, 8, 10, 12, 20, 24, 25, 31, 35, 40, 42, 52
• 8.8 -- 2, 4, 6, 8, 10, 13
• 8.9 -- 1, 5, 8, 13, 16, 17, 19, 23, 25
• 8.10 -- 1, 2, 5, 9

Mathematica Notebooks

The following Mathematica notebooks are available in two formats. Download the Mathematica notebooks (nb) to your machine and use Mathematica to interpret their contents, or click on the web page link (html) to see a static image of the evaluated notebook.

• 8.1 Sequences nb html
• 8.2 Series nb html
• 8.3 The Integral and Comparison Tests; Estimating Sums nb html
• 8.4 Other Convergence Tests nb html
• 8.5 Power Series nb html
• 8.6 Representation of Functions as Power Series nb html
• 8.7.1 Taylor Polynomials and Series nb html
• 8.7.2 Convergence of Taylor Series nb html
• 8.7.3 Calculating and Using Taylor Series nb html
• 8.8 Binomial Series nb html
• 8.9 Applications of Taylor Polynomials nb html
• 8.10 Using Series to Solve Differential Equations nb html
• 8 -- Fourier Series nb html