# Nonlinear algebraic equations

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## Taylor series review

*We will start this section of the course with a review of Taylor series (1 class). *

The Taylor series notes will also be useful for later sections in the course.* *

Please download the lecture slides here.

## Nonlinear algebraic equations

- 13 October (slides 1 to 9)
- 14 October (slides 10 to 18)
- 20 and 21 October (slides 19 to 32)
- Please download the lecture slides here

*Reference in course textbook for multivariable nonlinear systems, using Newton's method*

Unfortunately, the course textbook has poor treatment of this topic due to the fact they treat nonlinear equations before linear equations! So it is spread over two parts:

- section 6.6 (page 167 in the 6th edition)
- section 9.6 (page 267 in the 6th edition)