{"id":565,"date":"2014-06-27T11:12:29","date_gmt":"2014-06-27T15:12:29","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/fgarvan\/?page_id=565"},"modified":"2026-03-19T08:11:15","modified_gmt":"2026-03-19T12:11:15","slug":"homework","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/mas4203\/homework\/","title":{"rendered":"MAS 4203 HOMEWORK"},"content":{"rendered":"\r\n
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  • 1.1 – Divisibility:

    \n pp.9-10: 1(a)(c)(d), 2, 3(a)(c), 5, 6, 7, 9, 10(a)(b)(c), 14(a)(b)(c)
    \n<\/li>
  • 1.2 – Prime Numbers:

    \n pp. 17-18: 16(a)(b), 17, 18(a), 20, 21(a), 23, 24, 26, 27, 28, 29
    \n<\/li>
  • 1.3 – Greatest Common Divisors:

    \n pp. 21-22: 32(a)(c), 33(a)(b)(c), (35), (41), (42), (43), (44)
    \n<\/li>
  • 1.4 – The Euclidean Algorithm:

    \n p.25: 54 (a)(b)(e)(f), 55, 56
    \n<\/li>
  • 1.5 – The Fundamental Theorem of Arithmetic:

    \n pp.33-36: 59(a)(c), 60(a)(c), 61(a), 64, 69, 70, 78, 84, 85, 86, 87, 88
    \n<\/li><\/ul>\n\n\n\n

      \n
    • 2.1 – Congruences:

      \n pp.45-48: 1(a)(b), 2(a)(c), 3(a), 4(a)(c)(e), 11, 13, 14, 15, 18, 19, 26
      \n<\/li>
    • 2.2 – Linear Congruences in One Variable:

      \n p.54: 28(c)(e), 29(d)(f)
      \n<\/li>
    • 2.3 – The Chinese Remainder Theorem:

      \n pp.57-58: 33(d)(f), 36
      \n<\/li>
    • 2.4 – Wilson’s Theorem:

      \n pp.62-63: 42(f), 43, 44, 45, 47, 48, 49
      \n<\/li>
    • 2.5 – Fermat’s Little Theorem and Pseudoprimes:

      \n pp.66-68: 51b)(c), 52, 54(a)(b), 55, 57(b), 58(a)(b), 59, 62, 64
      \n<\/li>
    • 2.6 – Euler’s Theorem:

      \n p.72: 68(a)(b), 73, 74, 75
      \n<\/li><\/ul>\n\n\n\n

        \n
      • 3.1 – Arithmetic Functions and Multiplicativity:

        \n pp.80-81: 3, 4, 5(e)(f)(g), 6, 7
        \n<\/li>
      • 3.2 – The Euler Phi-Function:

        \n pp.84-86: 10(c)(d)(e), 13(a)(d), 14, 15, 20, 23, 26, 27
        \n<\/li>
      • 3.3 – The Number of Positive Divisors Function:

        \n pp.88-89: 30(h), 31(e), 32, 40
        \n<\/li>
      • 3.4 – The Sum of Positive Divisors Function:

        \n pp.91-92: 42(h), 46, 47, 51
        \n<\/li>
      • 3.5 – Perfect Numbers:

        \n p.95: 55, 59
        \n<\/li>
      • 3.6 – The Mobius Inversion Formula:

        \n p.100: 64, 65, 66, 67, 68
        \n<\/li><\/ul>\n\n\n\n

          \n
        • 4.1 – Quadratic Residues:

          \n pp.106-107: 1(c)(d), 5(a), 6, 7, 8, 10(b)
          \n<\/li>
        • 4.2 – The Legendre Symbol:

          \n pp.115-117: 12(b), 13(b), 14(e), 16(a), 17(a), 20, 21, 24, 26, 27
          \n<\/li>
        • 4.3 – The Law of Quadratic Reciprocity:

          \n pp.124-125: 28(b)(d)(f), 30, 32, 34, 35, 36
          \n<\/li><\/ul>\n\n\n\n\n\n

          Last update made Wed Jul 16 12:00:39 EDT 2014<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":140,"featured_media":0,"parent":555,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-565","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/565","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/users\/140"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/comments?post=565"}],"version-history":[{"count":9,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/565\/revisions"}],"predecessor-version":[{"id":3502,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/565\/revisions\/3502"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/555"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/media?parent=565"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}