Mathematical Analysis 2 Summary 10 March 22, 2011

Then I will start the preparations for the proof of the implicit function theorem, sections 17.1 and 17.2 in [PF].. See the list of

I will also give some examples of applications, and in particular explain the method of implicit differentiation.. See the list of

Note that there is extra time for solving problems today.. Exercises Solve the exercises in the

I will go through the definitions and the properties of contour integrals in the complex plane, section 4 in [AJ].. See the list of

Exercises from session 14 not yet solved.. Exercises from other sessions not

Find the domain of definition of the function g(z) = tan(z), explain why it is holo- morphic on this domain, and then find the radius of convergence of the power series expansion

I will also answer questions concerning the exercises from sessions 15 and 16.. See the list of

After that I will evaluate some integrals using the residue theorem.. See the list of