Roots of Unity, Branch Cuts, Analytic Functions, and the Cauchy-Riemann Conditions

This course covers topics such as roots of unity, branch cuts, analytic functions, and the Cauchy-Riemann conditions. The learning outcomes include understanding the concepts of roots of unity, branch cuts, and analytic functions, as well as being able to apply the Cauchy-Riemann conditions. The course teaches skills in analyzing complex functions and determining their properties. The teaching method involves lectures and possibly homework assignments. The intended audience for this course is students studying Engineering Mathematics or related fields who want to deepen their understanding of complex analysis.