# Tag Archives: W2013

## AMAT 415 — Week 2 Problems

(You will be asked to submit a subset of these questions as part of Assignment 1.) P7) Find and .  (Try to be clever and avoid duplication of effort.) P8) For a complex number , define the matrix .  Show … Continue reading

## AMAT 415 — Matlab activity 1: My first fractal

If you haven’t used Matlab before, I recommend you spend half-an-hour going through the first few sections of the Matlab Primer to familiarize yourself with the basis syntax.  In particular, you should learn how to enter and manipulate matrices (with … Continue reading

## AMAT 415 — Week 1 Summary

Topics discussed this week: Complex numbers — real and imaginary parts, modulus, conjugate, basic arithmetic, the complex plane and graphical representation of complex numbers, polar representation, computing -th roots of complex numbers using the polar representation Complex functions — polynomials … Continue reading

## AMAT 415 — Matlab for U of C students

U of C students can get a student licence for Matlab that you can use to download a copy for your own computer.  For details, see: http://engg.ucalgary.ca/Support/Downloads/Matlab/ Since I’m not a student, I couldn’t verify that the instructions at this … Continue reading

## AMAT 415 — Week 1 Problems

(You will be asked to submit a subset of these questions as part of Assignment 1.) P1) Write the following complex numbers in the form . P2) Solve the quadratic equation . The give the solutions in the form with … Continue reading

## AMAT 415 — Syllabus

(I reserve the right to permute the order of the topics.) Complex numbers. Limits. Continuity. Differentiability. Analytic functions. Elementary functions. Real integrals of complex functions. (4 hours) Complex integrals. Cauchy’s integral theorem. Cauchy’s integral formula.  (4 hours) Trigonometric polynomials. Approximation by … Continue reading