What would you suggest for complex numbers and proof? I'm getting assessed on all 4 topics for my next task
Proof:
- Know logical implications if possible
- Understand and know the structure of a proof. Being formal and clear in your proof will allow for markers (as well as yourself in rechecking) to read better.
- You need to be able to do contraposition, contradiction, if and only ifs, direct implications and all other taught proof methods under the sun.
- Combine proof methods + niche solutions to tackle harder questions as they normally require both.
Complex:
- Have a good geometric conceptualisation e.g you're able to map |z+3| <= 2, |z+2| >= |z-1| in your head
- Get a good grasp with De-Moivre's theorem questions such as find sin^5(theta) in terms of sin(theta) etc.
- Be strong at manipulation of z in its exponential form, will allow you to sidecut some problems that would require vector geometry else
- Practice roots of unity questions regularly and its variants, they can try to bog you down with algebra here if careless.
Overall:
- Grind. Just grind as much questions possible and you'll be fine.