19/06/2026
1st Year Math
*Exercise #1.1*
Q.1 (ii), Q.2(i, iii), Q.3, Q.4(iii)
Q.7,8,9 (imp)
*Exercise #1.2*
Q.1(i, ii), Q.2, Q.4, Q.5,6, Q.7(i,ii)
Q.8,10,12
*Exercise #1.3*
Q.1(i,ii,iii,vii), Q.2(i,ii,iii,v,vi) Q.3,
Q.4(iv), Q.5(i,ii,iii), Q.6,7,8 (long)
*Exercise #1.4*
Q.3, Q.4, Q.5, Q.6,8,9
*Examples*
Examples # 2,3,5,8,11
*Exercise #2.1*
Q.1(b)(iii), Q.2(ii,iv), Q.3(imp)
Q.4(i,ii,iv,v)(imp), Q.5, Q.7(i,ii)
Q.9,10(long)
*Exercise #2.2*
Q.1(i), Q.2(i,ii), Q.3(i,ii)
Examples # 3,4,5,6,7,8
*Exercise #3.1*
Q.1(i,ii,iii), Q.2(i,ii,vi), Q.3(ii,vi)
Q.4(i,ii,vi,viii)
*Exercise #3.2*
Q.1(i,ii,iv,vii,ix)
*Examples*
Examples # 2,3,5,7,8...
*Exercise #4.1*
Q.1(i,ii), Q.4, Q.7
*Exercise #4.2*
Q.1,2(v.imp), Q.3(i,ii,iii,vi,vii,viii,ix)(long)
Q.4,5(imp), Q.7(imp), Q.8(imp)
*Exercise #4.3*
Q.3,4(v.imp.long)
*Examples*
Examples # 4,6,13
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*Page 3 - Exercise 5-6*
*Exercise #5.1*
Q.1,2,5,10,13,14
*Exercise #5.2*
Q.1,2,4
*Examples*
Examples #1,2,4,5
*Defines*
Conditional equations, identity,
proper and improper rational fraction
*Ex #6.1*
Q.1, Q.2(i,ii,iii,vii,viii), Q.4(i,iii,iv,vi)
*Ex #6.2*
Q.3(v.imp),Q.6,7,8,9,11,12,13,16,17,18,(19 Long)
*Ex #6.3*
Q.1,2,4,5,7(imp long)
*Ex #6.4*
Q.1,2,3,4(long),5(long),7,10,11(long)
Q.15,16(imp)
*Ex #6.5*
Q.1,2,5,11(v.imp),15
*Exercise #6.6*
Q.1,2,3(long), Q.4(v.imp long), Q.6
*Exercise #6.7*
Q.1,3(ii),5(long)
*Ex #6.9*
Q.1,3,4,5(imp), Q.6(imp long), Q.7,
Q.9(long),10,11, Q.12(long)
*Ex #6.10*
Q.3(i), Q.4(i)
*Formulas* (i) Σ K (ii) Σ K² (iii) Σ K³
k=1 k=1 k=1
*Examples*
Examples #4,5,7,9,11,12,13,14,15,18,22
24
*Exercise #7.1*
Q.1,2,3(imp),4(imp),5,6
*Exercise #7.2*
Q.1, Q.2(v.imp), Q.3(long), Q.4
Q.5(v.imp) Q.7(v.imp), Q.8(long)
Q.12,15
*Ex #7.3*
Q.1,2,3(v.imp), Q.5(i), Q.6,7(v.imp)
*Ex #7.4*
Q.1,2(v.imp), Q.3(long), Q.7(v.imp)
Q.9(long), Q.12(long),13,14(long),15,16(imp)
*Examples*
Examples #3,4(v.imp),7,9,11(v.imp)
*Exercise #9.1*
Q.1(i,ii), Q.2(i,ii,v), Q.3(i,ii,iii,v)
Q.4(i,iii), Q.5,6(long) Q.7,8,Q.10(long)
*Ex #9.2*
Q.3,4,5(long),6(long)
*Examples*
Examples #1,2,3,4,5,7(long),9(imp),10
*Ex #10.1*
Q.1(i,iii,v), Q.3(iii,iv), Q.4(v.imp long)
Q.6(v.imp s.a)
*Ex #10.2*
Q.2(v.imp), Q.3(i,ii,iii), Q.4(long)
Q.8(long), Q.9(i,ii,iii), Q.10(long)
Q.11(v.imp), Q.13,14(v.imp long)
*Ex #10.3*
Q.1(i,ii), Q.2(i,ii,iii)
Q.2(vi,xi,xiii,xiv)(long)
Q.3,4(v.imp long)
*Ex #10.4*
Q.1,2, Q.3(i,ii,iv), Q.4,5(v.imp long)
*Examples*
Examples #2,4,7,9(long),11,13(v.imp long)
15,18(v.imp long)
*Ex #11.1*
Q.1(i,ii,iii,iv,viii), Q.2(i,ii,iii,iv,v,vi,vii)
*Ex #11.3*
Q.1(full), Examples #1,2
*Defines*
Even & odd functions
period and periodicity
*Ex #12.1*
Q.1(i,iii), Q.2(iii,iv,v) Q.3(i,iii,iv,viii,ix)
Q.4(ii,iii,iv),vi(long),(viii,x,xi)(long)
Q.5(i,ii,v,vi,vii,ix,xii)
*Ex #12.2(must long)*
Q.1(iii), Q.2,3(long), Q.4(v.imp)
Q.5,6,7(v.imp long)
*Examples*
Examples #1(i,ii),2,6,8,13
*Proves(long)*
lim (1+1/n)ⁿ = e , lim sinθ/θ = 1
x→+∞ n→∞ θ→0
sandwich Theorem
*Ex #13.1*
Q.1(ii,iii), Q.2(ii)(long), Q.3(ii)
Q.4(ii) Q.6,8,9(long)
*Ex #13.2*
Q.1(i,ii,iii,v,vi,viii)(imp S.Q), Q.1(iv,x)(imp long)
Q.3(imp long), Q.4,5(v.imp long)
*Examples*
Examples #2,3,6,7,8(All imp)
*Ex #14.1*
Q.2, Q.3(v.imp), Q.4(imp), Q.6,7(imp)
Q.11, Q.12
*Ex #14.2*
Q.1(ii), Q.2,3(long), Q.5(imp)
Q.6(imp), Q.10,11(imp long), Q.13,15
*Ex #14.3*
Q.1(i,ii), Q.2(i,ii), Q.5(imp), Q.6(imp)
Q.7(imp) Q.8,9,10,11,12(v.v.imp)
Q.15,16
*Examples*
Examples #2,3,6,8,10,11,15,17,18,19,20
