Homework Practice

HW1 | HW1 Practice Solutions

HW2 | HW2 Practice Solutions

HW3 | HW3 Practice Solutions

HW4 | HW4 Submission | HW4 Practice Solutions

HW5 | HW5 Submission | HW5 Practice Solutions

HW6 | HW6 Solutions | HW6 Script

HW7 | HW7 Submission | HW7 Practice Solutions

HW8 | HW8 Submission |

General Recurrence

Complex Numbers and Roots

Formula 1: Making the general form to be where .

Formula 2: Another useful formula of +- property aka reflection is:

Tip: If a question asks to compute without a j value, assume the question wants to know j=1 since j=0 results in a zero angle anyway and is useless.

Formula 3: Using Euler's formula from above,

Tip: If lets say is to be computed, just compute the reflection of . To do this, compute omega angle by forgetting about the negative sign. And when computed the omega angle, visualize its reflection in the circle. This trick is useful for Q3 in the practice questions below. Also, on a separate note, another useful conversion is

Practice Quiz: Complex roots practice