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Channel: 15

Engineering Sciences & related subjects
Subject / Branch : Mathematics || Course : Basic Number Theory
No. Topic Faculty Name Time/Date/Video Day QR Code
1 Integers Prof. Shripad M. Garge , IIT Bombay
Monday
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2 Divisibility and Primes Prof. Shripad M. Garge , IIT Bombay
Monday
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3 Integers Prof. Shripad M. Garge , IIT Bombay
Monday
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4 Divisibility and Primes Prof. Shripad M. Garge , IIT Bombay
Monday
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5 Integers Prof. Shripad M. Garge , IIT Bombay
Monday
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6 Divisibility and Primes Prof. Shripad M. Garge , IIT Bombay
Monday
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7 Integers Prof. Shripad M. Garge , IIT Bombay
Tuesday
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8 Divisibility and Primes Prof. Shripad M. Garge , IIT Bombay
Tuesday
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9 Integers Prof. Shripad M. Garge , IIT Bombay
Wednesday
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10 Divisibility and Primes Prof. Shripad M. Garge , IIT Bombay
Wednesday
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11 Infinitude of primes Prof. Shripad M. Garge , IIT Bombay -
Thursday
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12 Division algorithm and the GCD Prof. Shripad M. Garge , IIT Bombay -
Thursday
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13 Infinitude of primes Prof. Shripad M. Garge , IIT Bombay -
Friday
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14 Division algorithm and the GCD Prof. Shripad M. Garge , IIT Bombay -
Friday
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15 Infinitude of primes Prof. Shripad M. Garge , IIT Bombay -
Saturday
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16 Division algorithm and the GCD Prof. Shripad M. Garge , IIT Bombay -
Saturday
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17 Computing the GCD and Euclid's lemma Prof. Shripad M. Garge , IIT Bombay
Monday
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18 Fundamental Theorem of Arithmetic Prof. Shripad M. Garge , IIT Bombay
Monday
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19 Computing the GCD and Euclid's lemma Prof. Shripad M. Garge , IIT Bombay
Tuesday
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20 Fundamental Theorem of Arithmetic Prof. Shripad M. Garge , IIT Bombay
Tuesday
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21 Computing the GCD and Euclid's lemma Prof. Shripad M. Garge , IIT Bombay
Wednesday
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22 Fundamental Theorem of Arithmetic Prof. Shripad M. Garge , IIT Bombay
Wednesday
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23 Stories around primes Prof. Shripad M. Garge , IIT Bombay
Thursday
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24 Winding Upon'primes'and introducing 'congruences' Prof. Shripad M. Garge , IIT Bombay
Thursday
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25 Stories around primes Prof. Shripad M. Garge , IIT Bombay
Friday
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26 Winding Upon'primes'and introducing 'congruences' Prof. Shripad M. Garge , IIT Bombay
Friday
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27 Stories around primes Prof. Shripad M. Garge , IIT Bombay
Saturday
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28 Winding Upon'primes'and introducing 'congruences' Prof. Shripad M. Garge , IIT Bombay
Saturday
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29 Dasic result in congruences Prof. Shripad M. Garge , IIT Bombay -
Monday
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30 Residue classes modulo n Prof. Shripad M. Garge , IIT Bombay -
Monday
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31 Dasic result in congruences Prof. Shripad M. Garge , IIT Bombay -
Tuesday
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32 Residue classes modulo n Prof. Shripad M. Garge , IIT Bombay -
Tuesday
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33 Dasic result in congruences Prof. Shripad M. Garge , IIT Bombay -
Wednesday
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34 Residue classes modulo n Prof. Shripad M. Garge , IIT Bombay -
Wednesday
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35 Arithmetic modulo n,theory and examples Prof. Shripad M. Garge , IIT Bombay
Thursday
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36 Arithmetic modulo n more Examples Prof. Shripad M. Garge , IIT Bombay
Thursday
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37 Arithmetic modulo n,theory and examples Prof. Shripad M. Garge , IIT Bombay
Friday
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38 Arithmetic modulo n more Examples Prof. Shripad M. Garge , IIT Bombay
Friday
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39 Arithmetic modulo n,theory and examples Prof. Shripad M. Garge , IIT Bombay
Saturday
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40 Arithmetic modulo n more Examples Prof. Shripad M. Garge , IIT Bombay
Saturday
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41 Solving Linear Polynomials modulo n – I Prof. Shripad Garge , IIT Bombay -
Monday
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42 Solving Linear Polynomials modulo n – II Prof. Shripad Garge , IIT Bombay -
Monday
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43 Solving Linear Polynomials modulo n – I Prof. Shripad Garge , IIT Bombay -
Tuesday
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44 Solving Linear Polynomials modulo n – II Prof. Shripad Garge , IIT Bombay -
Tuesday
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45 Solving Linear Polynomials modulo n – I Prof. Shripad Garge , IIT Bombay -
Wednesday
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46 Solving Linear Polynomials modulo n – II Prof. Shripad Garge , IIT Bombay -
Wednesday
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47 Solving Linear Polynomials modulo n – IV Prof. Shripad Garge , IIT Bombay
Thursday
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48 Function spaces-II Prof. Ramadevi , IIT Bombay
Thursday
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49 Solving Linear Polynomials modulo n – IV Prof. Shripad Garge , IIT Bombay
Friday
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50 Function spaces-II Prof. Ramadevi , IIT Bombay
Friday
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51 Solving Linear Polynomials modulo n – IV Prof. Shripad Garge , IIT Bombay
Saturday
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52 Function spaces-II Prof. Ramadevi , IIT Bombay
Saturday
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53 Chinese remainder theorem, the initial cases Prof. Shripad Garge , IIT Bombay
Monday
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54 Chinese remainder theorem, the general case and
examples
Prof. Shripad Garge , IIT Bombay
Monday
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55 Chinese remainder theorem, the initial cases Prof. Shripad Garge , IIT Bombay
Tuesday
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56 Chinese remainder theorem, the general case and
examples
Prof. Shripad Garge , IIT Bombay
Tuesday
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57 Chinese remainder theorem, the initial cases Prof. Shripad Garge , IIT Bombay
Wednesday
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58 Chinese remainder theorem, the general case and
examples
Prof. Shripad Garge , IIT Bombay
Wednesday
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59 Chinese remainder theorem, more examples Prof. Shripad Garge , IIT Bombay
Thursday
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60 Using the CRT, square roots of 1 in Zn Prof. Shripad Garge , IIT Bombay
Thursday
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61 Chinese remainder theorem, more examples Prof. Shripad Garge , IIT Bombay
Friday
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62 Using the CRT, square roots of 1 in Zn Prof. Shripad Garge , IIT Bombay
Friday
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63 Chinese remainder theorem, more examples Prof. Shripad Garge , IIT Bombay
Saturday
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64 Using the CRT, square roots of 1 in Zn Prof. Shripad Garge , IIT Bombay
Saturday
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65 Wilson's Theorem Prof. Shripad Garge , IIT Bombay
Monday
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66 Roots of polynomials over Zp Prof. Shripad Garge , IIT Bombay
Monday
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67 Wilson's Theorem Prof. Shripad Garge , IIT Bombay
Tuesday
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68 Roots of polynomials over Zp Prof. Shripad Garge , IIT Bombay
Tuesday
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69 Wilson's Theorem Prof. Shripad Garge , IIT Bombay
Wednesday
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70 Roots of polynomials over Zp Prof. Shripad Garge , IIT Bombay
Wednesday
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71 Euler φ-function - I Prof. Shripad Garge , IIT Bombay
Thursday
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72 Euler φ-function - II Prof. Shripad Garge , IIT Bombay
Thursday
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73 Euler φ-function - I Prof. Shripad Garge , IIT Bombay
Friday
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74 Euler φ-function - II Prof. Shripad Garge , IIT Bombay
Friday
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75 Euler φ-function - I Prof. Shripad Garge , IIT Bombay
Saturday
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76 Euler φ-function - II Prof. Shripad Garge , IIT Bombay
Saturday
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77 Primitive Roots - II Prof. Shripad Garge , IIT Bombay
Monday
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78 Primitive Roots - III Prof. Shripad Garge , IIT Bombay
Monday
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79 Primitive Roots - II Prof. Shripad Garge , IIT Bombay
Tuesday
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80 Primitive Roots - III Prof. Shripad Garge , IIT Bombay
Tuesday
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81 Primitive Roots - II Prof. Shripad Garge , IIT Bombay
Wednesday
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82 Primitive Roots - III Prof. Shripad Garge , IIT Bombay
Wednesday
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83 Primitive Roots - III Prof. Shripad Garge , IIT Bombay
Thursday
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84 Primitive Roots - IV Prof. Shripad Garge , IIT Bombay
Thursday
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85 Primitive Roots - III Prof. Shripad Garge , IIT Bombay
Friday
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86 Primitive Roots - IV Prof. Shripad Garge , IIT Bombay
Friday
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87 Primitive Roots - III Prof. Shripad Garge , IIT Bombay
Saturday
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88 Primitive Roots - IV Prof. Shripad Garge , IIT Bombay
Saturday
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89 Structure of Un - I Prof. Shripad Garge , IIT Bombay
Monday
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90 Structure of Un - II Prof. Shripad Garge , IIT Bombay
Monday
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91 Structure of Un - I Prof. Shripad Garge , IIT Bombay
Tuesday
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92 Structure of Un - II Prof. Shripad Garge , IIT Bombay
Tuesday
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93 Structure of Un - I Prof. Shripad Garge , IIT Bombay
Wednesday
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94 Structure of Un - II Prof. Shripad Garge , IIT Bombay
Wednesday
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95 Quadratic residues Prof. Shripad Garge , IIT Bombay
Thursday
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96 The Legender symbol Prof. Shripad Garge , IIT Bombay
Thursday
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97 Quadratic residues Prof. Shripad Garge , IIT Bombay
Friday
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98 The Legender symbol Prof. Shripad Garge , IIT Bombay
Friday
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99 Quadratic residues Prof. Shripad Garge , IIT Bombay
Saturday
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100 The Legender symbol Prof. Shripad Garge , IIT Bombay
Saturday
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101 Quadratic reciprocity law - I Prof. Shripad Garge , IIT Bombay -
Monday
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102 Quadratic reciprocity law - II Prof. Shripad Garge , IIT Bombay -
Monday
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103 Quadratic reciprocity law - I Prof. Shripad Garge , IIT Bombay -
Tuesday
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104 Quadratic reciprocity law - II Prof. Shripad Garge , IIT Bombay -
Tuesday
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105 Quadratic reciprocity law - I Prof. Shripad Garge , IIT Bombay -
Wednesday
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106 Quadratic reciprocity law - II Prof. Shripad Garge , IIT Bombay -
Wednesday
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107 Quadratic reciprocity law - III Prof. Shripad Garge , IIT Bombay -
Thursday
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108 Quadratic reciprocity law - III Prof. Shripad Garge , IIT Bombay -
Friday
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109 Quadratic reciprocity law - III Prof. Shripad Garge , IIT Bombay -
Saturday
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110 Quadratic reciprocity law - IV Prof. Shripad Garge , IIT Bombay -
Monday
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111 The Jacobi symbol Prof. Shripad Garge , IIT Bombay -
Monday
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112 Quadratic reciprocity law - IV Prof. Shripad Garge , IIT Bombay -
Tuesday
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113 The Jacobi symbol Prof. Shripad Garge , IIT Bombay -
Tuesday
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114 Quadratic reciprocity law - IV Prof. Shripad Garge , IIT Bombay -
Wednesday
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115 The Jacobi symbol Prof. Shripad Garge , IIT Bombay -
Wednesday
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116 Binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Thursday
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117 Equivalence of binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Thursday
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118 Binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Friday
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119 Equivalence of binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Friday
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120 Binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Saturday
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121 Equivalence of binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Saturday
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122 Quadratic reciprocity law - IV Prof. Shripad Garge , IIT Bombay -
Monday
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123 The Jacobi symbol Prof. Shripad Garge , IIT Bombay -
Monday
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124 Quadratic reciprocity law - IV Prof. Shripad Garge , IIT Bombay -
Tuesday
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125 The Jacobi symbol Prof. Shripad Garge , IIT Bombay -
Tuesday
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126 Quadratic reciprocity law - IV Prof. Shripad Garge , IIT Bombay -
Wednesday
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127 The Jacobi symbol Prof. Shripad Garge , IIT Bombay -
Wednesday
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128 Binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Thursday
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129 Equivalence of binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Thursday
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130 Binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Friday
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131 Equivalence of binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Friday
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132 Binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Saturday
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133 Equivalence of binary quadratic forms Prof. Shripad Garge , IIT Bombay -
Saturday
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134 Discriminant of a Binary Quadratic Form Prof. Shripad Garge , IIT Bombay -
Monday
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135 Reduction Theory of Integral Binary Quadratic
Forms
Prof. Shripad Garge , IIT Bombay -
Monday
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136 Discriminant of a Binary Quadratic Form Prof. Shripad Garge , IIT Bombay -
Tuesday
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137 Reduction Theory of Integral Binary Quadratic
Forms
Prof. Shripad Garge , IIT Bombay -
Tuesday
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138 Discriminant of a Binary Quadratic Form Prof. Shripad Garge , IIT Bombay -
Wednesday
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139 Reduction Theory of Integral Binary Quadratic
Forms
Prof. Shripad Garge , IIT Bombay -
Wednesday
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140 Reduced Forms up to Equivalence - II Prof. Shripad Garge , IIT Bombay -
Thursday
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141 Reduced Forms up to Equivalence - III Prof. Shripad Garge , IIT Bombay -
Thursday
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142 Reduced Forms up to Equivalence - II Prof. Shripad Garge , IIT Bombay -
Friday
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143 Reduced Forms up to Equivalence - III Prof. Shripad Garge , IIT Bombay -
Friday
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144 Reduced Forms up to Equivalence - II Prof. Shripad Garge , IIT Bombay -
Saturday
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145 Reduced Forms up to Equivalence - III Prof. Shripad Garge , IIT Bombay -
Saturday
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146 Sums of Squares - II Prof. Shripad Garge , IIT Bombay
Monday
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147 Sums of Squares - III Prof. Shripad Garge , IIT Bombay
Monday
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148 Beyond Sums of Squares - I Prof. Shripad Garge , IIT Bombay
Monday
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149 Sums of Squares - II Prof. Shripad Garge , IIT Bombay
Tuesday
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150 Sums of Squares - III Prof. Shripad Garge , IIT Bombay
Tuesday
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151 Beyond Sums of Squares - I Prof. Shripad Garge , IIT Bombay
Tuesday
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152 Sums of Squares - II Prof. Shripad Garge , IIT Bombay
Wednesday
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153 Sums of Squares - III Prof. Shripad Garge , IIT Bombay
Wednesday
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154 Beyond Sums of Squares - I Prof. Shripad Garge , IIT Bombay
Wednesday
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155 Beyond Sums of Squares - II Prof. Shripad Garge , IIT Bombay
Thursday
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156 Continued Fractions Basic Results Prof. Shripad Garge , IIT Bombay
Thursday
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157 Beyond Sums of Squares - II Prof. Shripad Garge , IIT Bombay
Friday
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158 Continued Fractions Basic Results Prof. Shripad Garge , IIT Bombay
Friday
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159 Beyond Sums of Squares - II Prof. Shripad Garge , IIT Bombay
Saturday
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160 Continued Fractions Basic Results Prof. Shripad Garge , IIT Bombay
Saturday
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161 Dirichlet's approximation theorem Prof. Shripad Garge , IIT Bombay
Monday
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162 Good rational approximations Prof. Shripad Garge , IIT Bombay
Monday
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163 Continued fraction expansion for real numbers - I Prof. Shripad Garge , IIT Bombay
Monday
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164 Dirichlet's approximation theorem Prof. Shripad Garge , IIT Bombay
Tuesday
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165 Good rational approximations Prof. Shripad Garge , IIT Bombay
Tuesday
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166 Continued fraction expansion for real numbers - I Prof. Shripad Garge , IIT Bombay
Tuesday
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167 Dirichlet's approximation theorem Prof. Shripad Garge , IIT Bombay
Wednesday
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168 Good rational approximations Prof. Shripad Garge , IIT Bombay
Wednesday
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169 Continued fraction expansion for real numbers - I Prof. Shripad Garge , IIT Bombay
Wednesday
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170 Convergents give better approximations Prof. Shripad Garge , IIT Bombay
Thursday
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171 Convergents are the best approximations - I Prof. Shripad Garge , IIT Bombay
Thursday
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172 Convergents give better approximations Prof. Shripad Garge , IIT Bombay
Friday
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173 Convergents are the best approximations - I Prof. Shripad Garge , IIT Bombay
Friday
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174 Convergents give better approximations Prof. Shripad Garge , IIT Bombay
Saturday
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175 Convergents are the best approximations - I Prof. Shripad Garge , IIT Bombay
Saturday
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176 Convergents are the best approximations - II Prof. Shripad Garge , IIT Bombay -
Monday
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177 Quadratic irrationals as continued fractions Prof. Shripad Garge , IIT Bombay -
Monday
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178 Convergents are the best approximations - II Prof. Shripad Garge , IIT Bombay -
Tuesday
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179 Quadratic irrationals as continued fractions Prof. Shripad Garge , IIT Bombay -
Tuesday
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180 Convergents are the best approximations - II Prof. Shripad Garge , IIT Bombay -
Wednesday
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181 Quadratic irrationals as continued fractions Prof. Shripad Garge , IIT Bombay -
Wednesday
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182 Some basics of algebraic number theory Prof. Shripad Garge , IIT Bombay -
Thursday
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183 Units in quadratic fields: the imaginary case Prof. Shripad Garge , IIT Bombay -
Thursday
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184 Some basics of algebraic number theory Prof. Shripad Garge , IIT Bombay -
Friday
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185 Units in quadratic fields: the imaginary case Prof. Shripad Garge , IIT Bombay -
Friday
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186 Some basics of algebraic number theory Prof. Shripad Garge , IIT Bombay -
Saturday
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187 Units in quadratic fields: the imaginary case Prof. Shripad Garge , IIT Bombay -
Saturday
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188 Units in quadratic fields: the real case Prof. Shripad Garge , IIT Bombay
Monday
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189 Units in quadratic fields: the real case Prof. Shripad Garge , IIT Bombay
Tuesday
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190 Units in quadratic fields: the real case Prof. Shripad Garge , IIT Bombay
Wednesday
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191 Brahmagupta-Pell equations Prof. Shripad Garge , IIT Bombay
Thursday
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192 Tying some loose ends Prof. Shripad Garge , IIT Bombay
Thursday
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193 Brahmagupta-Pell equations Prof. Shripad Garge , IIT Bombay
Friday
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194 Tying some loose ends Prof. Shripad Garge , IIT Bombay
Friday
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195 Brahmagupta-Pell equations Prof. Shripad Garge , IIT Bombay
Saturday
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196 Tying some loose ends Prof. Shripad Garge , IIT Bombay
Saturday
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