1 
Integers 
Prof. Shripad Garge , IIT Bombay 


Monday 


2 
Integers 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


3 
Integers 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


4 
Divisibility and primes 
Prof. Shripad Garge , IIT Bombay 


Thursday 


5 
Infinitude of primes 
Prof. Shripad Garge , IIT Bombay 


Thursday 


6 
Divisibility and primes 
Prof. Shripad Garge , IIT Bombay 


Friday 


7 
Infinitude of primes 
Prof. Shripad Garge , IIT Bombay 


Friday 


8 
Divisibility and primes 
Prof. Shripad Garge , IIT Bombay 


Saturday 


9 
Infinitude of primes 
Prof. Shripad Garge , IIT Bombay 


Saturday 


10 
Division Algorithm 
Prof. Shripad Garge , IIT Bombay 


Monday 


11 
Division Algorithm 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


12 
Division Algorithm 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


13 
Computing the GCD and Euclidâ€™s lemma 
Prof. Shripad Garge , IIT Bombay 


Thursday 


14 
Fundamental theorem of arithmetic 
Prof. Shripad Garge , IIT Bombay 


Thursday 


15 
Computing the GCD and Euclidâ€™s lemma 
Prof. Shripad Garge , IIT Bombay 


Friday 


16 
Fundamental theorem of arithmetic 
Prof. Shripad Garge , IIT Bombay 


Friday 


17 
Computing the GCD and Euclidâ€™s lemma 
Prof. Shripad Garge , IIT Bombay 


Saturday 


18 
Fundamental theorem of arithmetic 
Prof. Shripad Garge , IIT Bombay 


Saturday 


19 
Stories Around Primes 
Prof. Shripad Garge , IIT Bombay 


Monday 


20 
Stories Around Primes 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


21 
Stories Around Primes 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


22 
Arithmetic modulo n, theory and examples 
Prof. Shripad Garge , IIT Bombay 


Monday 


23 
Arithmetic modulo n, more examples 
Prof. Shripad Garge , IIT Bombay 


Monday 


24 
Solving linear polynomials modulo n  I 
Prof. Shripad Garge , IIT Bombay 


Monday 


25 
Arithmetic modulo n, theory and examples 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


26 
Arithmetic modulo n, more examples 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


27 
Solving linear polynomials modulo n  I 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


28 
Arithmetic modulo n, theory and examples 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


29 
Arithmetic modulo n, more examples 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


30 
Solving linear polynomials modulo n  I 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


31 
Solving linear polynomials modulo n  IV 
Prof. Shripad Garge , IIT Bombay 


Monday 


32 
Chinese remainder theorem, the initial cases 
Prof. Shripad Garge , IIT Bombay 


Monday 


33 
Solving linear polynomials modulo n  IV 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


34 
Chinese remainder theorem, the initial cases 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


35 
Solving linear polynomials modulo n  IV 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


36 
Chinese remainder theorem, the initial cases 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


37 
Using the CRT, square roots of 1 in
Ã¢â€žÂ¤n 
Prof. Shripad Garge , IIT Bombay 


Monday 


38 
Wilson's theorem 
Prof. Shripad Garge , IIT Bombay 


Monday 


39 
Using the CRT, square roots of 1 in
Ã¢â€žÂ¤n 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


40 
Wilson's theorem 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


41 
Using the CRT, square roots of 1 in
Ã¢â€žÂ¤n 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


42 
Wilson's theorem 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


43 
Roots of polynomials over Ã¢â€žÂ¤p 
Prof. Shripad Garge , IIT Bombay 


Thursday 


44 
Euler Ã°ÂÅ“â€˜function  I 
Prof. Shripad Garge , IIT Bombay 


Thursday 


45 
Roots of polynomials over Ã¢â€žÂ¤p 
Prof. Shripad Garge , IIT Bombay 


Friday 


46 
Euler Ã°ÂÅ“â€˜function  I 
Prof. Shripad Garge , IIT Bombay 


Friday 


47 
Roots of polynomials over Ã¢â€žÂ¤p 
Prof. Shripad Garge , IIT Bombay 


Saturday 


48 
Euler Ã°ÂÅ“â€˜function  I 
Prof. Shripad Garge , IIT Bombay 


Saturday 


49 
Euler Ã°ÂÅ“â€˜function  II 
Prof. Shripad Garge , IIT Bombay 


Monday 


50 
Primitive roots  I 
Prof. Shripad Garge , IIT Bombay 


Monday 


51 
Euler Ã°ÂÅ“â€˜function  II 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


52 
Primitive roots  I 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


53 
Euler Ã°ÂÅ“â€˜function  II 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


54 
Primitive roots  I 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


55 
Primitive roots  II 
Prof. Shripad Garge , IIT Bombay 


Thursday 


56 
Primitive roots  III 
Prof. Shripad Garge , IIT Bombay 


Thursday 


57 
Primitive roots  II 
Prof. Shripad Garge , IIT Bombay 


Friday 


58 
Primitive roots  III 
Prof. Shripad Garge , IIT Bombay 


Friday 


59 
Primitive roots  II 
Prof. Shripad Garge , IIT Bombay 


Saturday 


60 
Primitive roots  III 
Prof. Shripad Garge , IIT Bombay 


Saturday 


61 
Primitive roots  IV 
Prof. Shripad Garge , IIT Bombay 


Monday 


62 
Structure of Un  I 
Prof. Shripad Garge , IIT Bombay 


Monday 


63 
Primitive roots  IV 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


64 
Structure of Un  I 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


65 
Primitive roots  IV 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


66 
Structure of Un  I 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


67 
Structure of Un  II 
Prof. Shripad Garge , IIT Bombay 


Thursday 


68 
Quadratic residues 
Prof. Shripad Garge , IIT Bombay 


Thursday 


69 
Structure of Un  II 
Prof. Shripad Garge , IIT Bombay 


Friday 


70 
Quadratic residues 
Prof. Shripad Garge , IIT Bombay 


Friday 


71 
Structure of Un  II 
Prof. Shripad Garge , IIT Bombay 


Saturday 


72 
Quadratic residues 
Prof. Shripad Garge , IIT Bombay 


Saturday 


73 
The Legendre symbol 
Prof. Shripad Garge , IIT Bombay 


Monday 


74 
Quadratic reciprocity law  I 
Prof. Shripad Garge , IIT Bombay 


Monday 


75 
The Legendre symbol 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


76 
Quadratic reciprocity law  I 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


77 
The Legendre symbol 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


78 
Quadratic reciprocity law  I 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


79 
Quadratic reciprocity law  II 
Prof. Shripad Garge , IIT Bombay 


Thursday 


80 
Quadratic reciprocity law  II 
Prof. Shripad Garge , IIT Bombay 


Friday 


81 
Quadratic reciprocity law  II 
Prof. Shripad Garge , IIT Bombay 


Saturday 


82 
Quadratic reciprocity law III 
Prof. Shripad Garge , IIT Bombay 


Monday 


83 
Quadratic reciprocity law III 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


84 
Quadratic reciprocity law III 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


85 
Quadratic reciprocity law IV 
Prof. Shripad Garge , IIT Bombay 


Thursday 


86 
Quadratic reciprocity law IV 
Prof. Shripad Garge , IIT Bombay 


Friday 


87 
Quadratic reciprocity law IV 
Prof. Shripad Garge , IIT Bombay 


Saturday 


88 
The Jacobi symbol 
Prof. Shripad Garge , IIT Bombay 


Monday 


89 
The Jacobi symbol 
Prof. Shripad Garge , IIT Bombay 


Monday 


90 
The Jacobi symbol 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


91 
The Jacobi symbol 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


92 
The Jacobi symbol 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


93 
The Jacobi symbol 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


94 
Equivalence of binary quadratic forms 
Prof. Shripad Garge , IIT Bombay 


Thursday 


95 
Discriminant of a binary quadratic form 
Prof. Shripad Garge , IIT Bombay 


Thursday 


96 
Equivalence of binary quadratic forms 
Prof. Shripad Garge , IIT Bombay 


Friday 


97 
Discriminant of a binary quadratic form 
Prof. Shripad Garge , IIT Bombay 


Friday 


98 
Equivalence of binary quadratic forms 
Prof. Shripad Garge , IIT Bombay 


Saturday 


99 
Discriminant of a binary quadratic form 
Prof. Shripad Garge , IIT Bombay 


Saturday 


100 
Reduction theory of integral binary quadratic
forms 
Prof. Shripad Garge , IIT Bombay 


Monday 


101 
Reduced forms up to equivalence  I 
Prof. Shripad Garge , IIT Bombay 


Monday 


102 
Reduction theory of integral binary quadratic
forms 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


103 
Reduced forms up to equivalence  I 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


104 
Reduction theory of integral binary quadratic
forms 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


105 
Reduced forms up to equivalence  I 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


106 
Reduced forms up to equivalence  II 
Prof. Shripad Garge , IIT Bombay 


Thursday 


107 
Reduced forms up to equivalence  III 
Prof. Shripad Garge , IIT Bombay 


Thursday 


108 
Reduced forms up to equivalence  II 
Prof. Shripad Garge , IIT Bombay 


Friday 


109 
Reduced forms up to equivalence  III 
Prof. Shripad Garge , IIT Bombay 


Friday 


110 
Reduced forms up to equivalence  II 
Prof. Shripad Garge , IIT Bombay 


Saturday 


111 
Reduced forms up to equivalence  III 
Prof. Shripad Garge , IIT Bombay 


Saturday 


112 
Sums of squares  II 
Prof. Shripad Garge , IIT Bombay 


Monday 


113 
Sums of squares  II 
Prof. Shripad Garge , IIT Bombay 


Tuesday 


114 
Sums of squares  II 
Prof. Shripad Garge , IIT Bombay 


Wednesday 


115 
Sums of squares  III 
Prof. Shripad Garge , IIT Bombay 


Thursday 


116 
Sums of squares  III 
Prof. Shripad Garge , IIT Bombay 


Friday 


117 
Sums of squares  III 
Prof. Shripad Garge , IIT Bombay 


Saturday 


118 
Beyond sums of squares  I 
Prof. Shripad Garge , IIT Bombay 


Monday 


119 
Beyond sums of squares  I 
Prof. Shripad Garge , IIT Bombay 
13042021
Time

Tuesday 


120 
Beyond sums of squares  I 
Prof. Shripad Garge , IIT Bombay 
15042021
Time

Wednesday 


121 
Beyond sums of squares  II 
Prof. Shripad Garge , IIT Bombay 
15042021
Time

Thursday 


122 
Continued fractions  basic results 
Prof. Shripad Garge , IIT Bombay 
15042021
Time

Thursday 


123 
Beyond sums of squares  II 
Prof. Shripad Garge , IIT Bombay 
16042021
Time

Friday 


124 
Continued fractions  basic results 
Prof. Shripad Garge , IIT Bombay 
16042021
Time

Friday 


125 
Beyond sums of squares  II 
Prof. Shripad Garge , IIT Bombay 
18042021
Time

Saturday 


126 
Continued fractions  basic results 
Prof. Shripad Garge , IIT Bombay 
18042021
Time

Saturday 


127 
Dirichlet's approximation theorem 
Prof. Shripad Garge , IIT Bombay 
19042021
Time

Monday 


128 
Dirichlet's approximation theorem 
Prof. Shripad Garge , IIT Bombay 
20042021
Time

Tuesday 


129 
Dirichlet's approximation theorem 
Prof. Shripad Garge , IIT Bombay 
22042021
Time

Wednesday 


130 
Good rational approximations 
Prof. Shripad Garge , IIT Bombay 
22042021
Time

Thursday 


131 
Continued fraction expansion for real numbers  I 
Prof. Shripad Garge , IIT Bombay 
22042021
Time

Thursday 


132 
Good rational approximations 
Prof. Shripad Garge , IIT Bombay 
23042021
Time

Friday 


133 
Continued fraction expansion for real numbers  I 
Prof. Shripad Garge , IIT Bombay 
23042021
Time

Friday 


134 
Good rational approximations 
Prof. Shripad Garge , IIT Bombay 
25042021
Time

Saturday 


135 
Continued fraction expansion for real numbers  I 
Prof. Shripad Garge , IIT Bombay 
25042021
Time

Saturday 

