By the end of the lesson, learners can
1. Understand the concept of infinite series in the complex plane
2. Differentiate between types of series in complex analysis, including power series and Laurent series

By the end of the lesson, learners can
1. Define the Taylor series of a complex function
2. Determine the Taylor series expansion of a given analytic function about a point z_0
3. Determine the radius of convergence of a Taylor series

By the end of the lesson, learners can
1. Define the Maclaurin series of a complex function
2. Determine the Maclaurin series expansion of a given analytic function about a point z_0 = 0
3. Determine the radius of convergence of a Maclaurin series

By the end of the lesson, learners can
1. Define the Laurent series of a complex function
2. Determine the Laurent series expansion of the function in the indicated region of the complex plane