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$
Lecture 8, 9/9/2022. This page is for Section 1 only.
ACMS 20550: Applied Mathematics Method I
Instructor: Bei Hu, b1hu@nd.edu, Hurley 174A
Complex Numbers. $ \fcolorbox{white}{yellow}{$i = \sqrt{-1}, \m i^2 = -1$}$.
Sections 1 - 4:
- Complex Algebra:
- Elementary operations, solving complex algebraic equations,
- $ \fcolorbox{white}{yellow}{$|z| = \sqrt{z \bar z}$}$,
- Motion of a particle in a complex plane,
$ \fcolorbox{white}{yellow}{computing magnitude: $ v = \bigg| \frac{dz}{dt}\bigg|, \m a = \bigg|\frac{d^2z}{dt^2}\bigg|$}$.