Overall learning goals for Math 305 (compiled by Joseph Lo)
Notes on Fundamentals (Sections 1.1-1.6,2.1) Click here Extra Notes: Click here
Notes on Analyticity (Sections 2.2--2.5) Click here Proof of Theorem 2 on CR Equations (expanded version: page 75 of book) Click here
Notes on Some Simple Functions (Sections 3.1-3.2) Click here
Notes on Multivalued Functions (Sections 3.3 and 3.5) Click here (Also take a look at these notes on branch cuts by Prof. Rosales of MIT) Click here (Here are also a few additional carefully worked out problems with branch cuts) Click here
Notes on Contour Integration, Cauchy's Integral Theorem (Sections 4.1--4.3): First batch of notes Click here Second batch of notes Click here
Notes on Nyquist Criterion Click here
Notes on Residue Calculus Click here
Notes on Integration by Residue Calculus Click here
Notes on Laurent Series, Singularities and Residue Calculus Click here
Homework 1 (Due Sept. 14th ): Assignment Click here: Solutions Click here
Homework 2 (Due Sept. 24st): Assignment Click here: Solutions Click here:
Homework 3: (Due Oct. 1st ): Assignment Click here: Solutions Click here:
Homework 4: (Due Oct. 12th): Assignment Click here: Solutions Click here:
Midterm 1 from 2010: Midterm from Oct. 2010 Click here:
Midterm 1 from 2011: Midterm from Oct. 2011 Click here:
Midterm 1 from 2012: Midterm from Oct. 2012 Click here:
Homework 5: (Due Oct. 22nd): Assignment Click here: Solutions Click here:
Homework 6: (Due Oct. 31st): Assignment Click here: Solutions Click here:
Homework 7: (Due Nov. 14th): Assignment Click here: Solutions Click here:
Homework 8: (Due Nov. 26th): Assignment Click here: Solutions Click here:
Topics for Midterm 2: Assignment Click here: Sample Questions with some solutions Click here:
Midterm 2 (2010): Solutions Click here:
Midterm 2 (2011): Solutions Click here:
Midterm 2 (2012): Solutions Click here:
Homework Extra: (Not due; but you must know this material for the final exam ): Questions and Solutions Click here:
Past Exams: Questions and Solutions Click here:
Some Sample Problems for Final: Sample Questions Click here: Some Detailed Solutions Click here: