{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

finalmaterial - ACM 95a/ACM 100a Final Information 2008...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
ACM 95a/ACM 100a Final Information 2008 Topics Introduction to complex numbers, polar form, Euler's formula, the complex exponential, trigonometric functions, deMoivre's formula, integer powers and roots, the complex logarithm, multiple-valuedness, periodicity, complex exponents, inverse trigonometric functions, Riemann surfaces, the point at infinity, the stereographic projection, branch points and branch cuts, branch point at infinity, regions of the complex plane, limits and continuity, the complex derivative, analyticity, the Cauchy-Riemann equations, complex integration, parameterization, contours, fundamental theorem for contour integration, equivalence between existence of antiderivatives, vanishing of closed contour integrals and independence of path, the Cauchy-Goursat theorem, extensions to self-intersecting contours and multiply-connected domains, deformation of contours, Cauchy integral formula, derivatives of analytic functions, generalized Cauchy integral formula,
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern