Discrete Structures

Overview-moderate kind of start for this weird subject.Talks about the foundation of logic and set theory.

Logic-handle truth table,understand terms like tautology,fallacy etc,method of proofs(contradiction most imp),quantifiers,predicates.Every word here is important make sure to be familiar with laws of inference(most imp)

Set-though lots of things are mentioned in this,no questions are generally asked from here.

End advice-just focus on pyqs,rules of inference,methods of proof(contradiction specially)

Overview-questions are mostly from inclusion-exclusion(can try Gajendra purohit),pigeon hole(almost certain),generating function and induction.Note these terms may sound very fancy but once you go through neso or any other video,you will solve them trust yourself

Counting-inclusion-exclusion(see gp),pigeon-hole(neso/gp),note they may ask questions from multinomial theorem like jee so be sure to be exposedd to that early on.

Induction-just watch gp's lecture and do pyq,dont ignore reccurrence relation or asymptotic behavior they can be asked

End advice-this one needs work.You'll easily find Vishu didi's notes they are really good just go through them properly.

Posets-hasse diagram,lattices(if low on time knowledge gate's oneshot),groups and rings are rarely asked

Number Theory-CRT,Eucledean(check pradeep giri's video),modular arthematic and phii function(neso).

End advice-if low on time atleast prepare eucledean thoerem

Overview-this one is mostly predictable tbh,they just ask bipartite,eucledean ciruit,hamiltonian and path.Isomorphish and dijkstra are also almost gurranted to be there.

Graph-do dijkstra from gajendra,other topics can be done by neso.

End advice-practice decent amount of questions for this as path/circuit question can be tough.Infact practice for every topic in this unit.

Overview-not too deep just have basics like conditional probablity and discrete distrubution.

Probablity-focus on conditional probablity(look for the formula and practice 1 question dont act oversmart)

Distributio-discrete ones ex geometric and poisson

End advice-solve some question and ask for clarity(from proff) regarding what distribution you have to do(prolly geometric and posision).Must know their mean,variance and how to solve basic question on them