# Ch 26: Additional Topics: Theorems, Analysis & Optimizing

Expand your knowledge of math concepts by watching the video lessons in this chapter. They were created to teach you about analytic functions and math theorems. You could also learn the rules for solving optimization problems.

## Additional Topics - Theorems, Analysis and Optimizing - Chapter Summary

The material in this chapter's online video lessons focuses on the necessary steps for optimizing simple and complex systems. The lessons also emphasize the benefits of visualizing optimization problems in order to solve them. You could learn how to use Newton's Method to solve equations and discover how to estimate speed using linearization. The information in this chapter can also teach you how to:

• Provide an example of a Cauchy-Riemann equation
• Discuss the applications of basic theorems and analytic functions
• Describe the Taylor series and discuss its use
• Use singularities, poles and the Laurent series
• Define the Residue Theorem and discuss its equation
• Describe Newton's Method along with the bisection and iterative methods
• Provide examples of linearization
• Find the roots of an equation with Newton's Method
• Discuss optimization techniques
• Explore the five steps for solving optimization problems

The video lessons in this chapter are brief and engaging. They are designed to present topics on analysis, theorems and optimizing in ways that are fun and easy to understand. You can use the timeline to skip between topics in the videos. Your lesson instructors are experienced in the subject matter, so feel free to submit your questions. Consult the corresponding text transcripts if you'd like to clarify any of the information in the video lessons.

8 Lessons in Chapter 26: Additional Topics: Theorems, Analysis & Optimizing
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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