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Akbar Rahman
2021-10-21 10:20:31 +01:00
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mechanical/mmme1026_maths_for_engineering.md
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@@ -5,9 +5,9 @@ title: MMME1026 // Mathematics for Engineering
tags: [ uni, nottingham, mmme1026, maths, complex_numbers ]
---
# Lecture 1 // Complex Numbers (2021-10-04)
# Complex Numbers
## Complex Numbers
## What is a Complex Number?
- $i$ is the unit imaginary number, which is defined by:
@@ -26,7 +26,7 @@ tags: [ uni, nottingham, mmme1026, maths, complex_numbers ]
e.g. $$(3 + 4i) + (1 -2i) = (3+1) + i(4-2) = 2 + 2i$$
### Complex Conjugate
### The Complex Conjugate
Given complex number $z$:
@@ -118,8 +118,6 @@ always hold true as there are many solutions.
2. Find a value of $\theta$ such that $\tan \theta = \frac y x$ and check that it is consistent.
If it puts you in the wrong quadrant, add or subtract $\pi$.
# Lecture 2 // Complex Numbers (2021-10-12)
## Exponential Functions
- The exponential function $f(x) = \exp x$ may be wirtten as an infinite series: