MATHEMATICAL LOGIC IN 1 SHOT | Maths | Class12th | Maharashtra Board

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Timestamps:
00:00 Introduction
00:06:50 Statement
00:22:45 Logical Connectives
01:01:40 Statement pattern and construction of truth tables
01:17:11 Logical Equivalence
01:22:47 Tautology contradiction and contingency.
01:32:29 Quantifiers
01:48:18 Negation of compound statement.
02:23:35 Converse Inverse and Contrapositive
02:35:00 Application of Logic to switching circuit
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[Bappasbestie]

Timestamps:
00:01:55​ Introduction.
00:06:50​ Statement
00:22:45​ Logical Connectives
01:01:40​ Statement pattern and construction of truth tables
01:17:11​ Logical Equivalence
01:22:47​ Tautology contradiction and contingency.
001:32:29​ Quantifiers
01:48:18​ Negation of compound statement.
02:23:35​ Converse Inverse and Contrapositive
02:35:00​ Application of Logic to switching circuit

[Format-ntcp]

Sir first time ya chapter la tumchya pasun ch shikle Ani sarv Crystal clear jhle... please baki chapters pn lavkr yeu dya❤

[Shashwat-Real]

Backup
For my revision
37:02 different ways of expressing Conditional Statement
38:47 Short Summary of 5 Logical Connectives

1.Conjunction—>AND represented by (^)
2. Disjunction—> OR rep. by (Ulta ^)
3. Condition or Implication —> if P …then Q (P->Q) (Only False when P is true and Q is false)
4. Bi-conditional or Double Implication —>P if and only if Q (P<—>Q) (When both are True or Both are false then output is True simply if both are same then answer is True otherwise False)
5. Negation given by (~) (same as nor gate) (if P is true then ~P is False and vice versa)
45:19 Good Question
Imp 46:46 Neither nor —> Conjunction (AND) & Either or —> Disjunction (OR)
48:28 good Ques
57:28 Lengthy Ques
1:00:20 2 possibilities of ans
1:16:22 Very very lengthy ques
1:17:58 Logical equivalence (Statement Pattern are equivalent therefore Truth Table must be Identical)
1:24:18 Tautology (t) Truth value is true for all
Contradiction (c) Truth table is False for all
Contingency Truth table is mixed with True and False

1:40:58 Imp see the given example
Universal Quantifier (ulta A) (for all, for every)
Existential Quantifier (Mirror image of E) (Meaning —> there exists some of set which satisfies)

1:47:16 Duals (convert AND to OR and vice versa, no Negation sign (~) will be changed in duals)
1:47:48 Note : In duals tautology (t) converts to (c) contradiction, check this example for clarity

1:50:00 Negation of Compound Statement
1. Negation of Conjunction [If negation is on conjunction then we can distribute it to individual but the conjunction will be replaced by Disjunction (OR)(ulta ^) (v) ]
2. ~of Disjunction (if ~ is on OR then we can distribute it to individual but we have to convert OR into AND )
First 2 are also known as De Morgan’s Law
1:53:06 3.Negation of conditional [~(p->q) = (p)^(~q)] or remember as [~(1–>2) = (1)^(~2)]
Imp note [NOTE :-> Bi Condition (P<—>q) can also be manipulated as [(p->q)^(q->p)] means Bicondition can also be written as P implies q AND q implies p ]
1:56:50 4. Negation of Bi-conditional ~(P<—>q) =~[(p->q)^(q->p)] = ……=(p^~q)v(q^~p) See the proof of this
2:05:36 RULES Check on this time (Read it once)
Imp #Learn (P—>q) = (~P v q) [P->q also means Negation of P OR Q]
2:06:10 (see absorption law in chart as sir has not done it)
2:09:54 V.V.IMP slide.. Summary of Laws (Distributive, Associative, De Morgan, Complement, Identity, Conditional, Bi-Conditional, Idempotent, Commutative ) (Learn the name of the laws as it will be required as explanation in Answers)

2:12:22 Very Good Question (confuse Karega if impatient)
2:14:32 Imp Note AND ke similar words :-> But, yet, though
2:17:28 3 statement question (Good one)

2:21:53 Things to consider when doing Negation of Quantifiers [Replace All with Some ; Universal(ulta A) With existential (mirror E) ; remove Not if present and Include NOT if not present and do vice versa means if Some is present replace with All, Existential with Universal Symbol ]

2:26:59 Converse (Arrow ki direction ko ulta Kro)
Inverse (~on both sides without doing anything to direction of arrow)
Contrapositive (Do Both means Change direction as well as ~on both sides)
Imp note [Original and Contrapositive statements are Equivalent(same truth value)]
[Converse and Inverse are Equivalent]
2:32:18 slightly twisted ques
2:32:50 Absorption Law

2:50:58 V. Imp Ques .Concept :-> (Using reverse of Distributive law)(Combining statements)

Switching (T ->ON->1) (F->OFF->0)
Switches in Series [Use AND(^)](Lamp will glow)
Switches in Parallel [Use OR(v)] (Lamp will glow)

3:09:48 revise this ques

[varad]

Can i watch this without attending any regular class of this chapter or if i don't have any idea of this chapter, is all concepts are covered ?

[MD-kvzo]

1:10:00 what if I solve the truth table like q->r then p^q(p and q) instead of q-> then [p->(q->r)]. I'm just switching the order of truth tables, Answer is same. Will I get marks. also do I write tables in pencil and truth values in pen?

[abhijeetasabe]

Sir purna lecture marathi madhye ghya bakichya rajyanch channel madhye tyanchya bhaset lecture astat mg maharshtra board che lecture hindee ka

[Abhiraluthra]

I have understood the entire lesson and exercise very well📖👍🏻 Thank you very much sir🙏🏻 you are a genius teacher of math👍🏻❤😊

[SudhirKharat-ef]

Next chapter please sir
Nice explanation 👌
Please 🙏🙏🙏

[silentartist]

3:04:28 sir yaha pe question me q Diya hai but aapne p ko maan kar solve Kiya

[AsthaKumari-zy]

Sir.. please speak in hindi so that each one of us can understand....otherwise it was a good lecture 😊👍🏻

[SarveshHiwale]

Bhai end cha question la negation he na not p or not q tr circuit madhe ek ajun wire join nhi honar ka ?

[AdnanAhmed-lzdd]

Kaun-kaun abhi 12th ki padhaai start ki hai❤

[MitaliBhendarkar]

Where I'll get notes of this class??

[TanmaySonawane-mzqh]

Kal paper he aaj chapter shuru pata nhi tha ye bhi chapter he😅

[shravanbangale]

Attendence of People here after hearing Teachers transfer on different centres

[jt-vzem]

Mai to marathi medium ki thi ladki tab bhi samj
Mai aaya. ♥️
Gret sr and thank you so much sir 🙏🙏🙏

[somunawade]

boards che paper strict honar ahe he samajlyaver kon kon ala 🤣🤣

[DipaliShelar-up]

Sir teach very nice 👌👌




kharach khup chan shikavatat





Thanks for teach us in simple way 🙏😊😊👍👍

[vinodthore]

Sir tumachamul ha chapter samjayala lagala mala thank you sir

[ArnavvvvV-bz]

+ percentageboards in few weeks, very stressed, and question they are asking are very difficult and advanced, so really hard study is needed, i wish everyone gets 95+ percentage