{"id":12520,"date":"2016-03-09T11:27:34","date_gmt":"2016-03-09T16:27:34","guid":{"rendered":"http:\/\/carleton.ca\/math\/?page_id=12520"},"modified":"2026-03-21T22:01:23","modified_gmt":"2026-03-22T02:01:23","slug":"number-theory","status":"publish","type":"page","link":"https:\/\/carleton.ca\/math\/number-theory\/","title":{"rendered":"Number Theory"},"content":{"rendered":"<h4><span class=\"Apple-style-span\">Number Theory &#8211; Grades 6 &amp; 7*<\/span><\/h4>\n<p>*For younger students, this refers to the level of mathematics and not to the actual age.<\/p>\n<p>This is a challenging pre-algebra course. Some of the topics that we will discuss include the following:<\/p>\n<ul>\n<li>Arithmetic with negative numbers and with fractions<\/li>\n<li>Simplifying difficult arithmetic expressions<\/li>\n<li>Divisibility, prime numbers<\/li>\n<li>Greatest common divisors<\/li>\n<li>Euclidean algorithm for finding greatest common divisors<\/li>\n<li>Arithmetic with remainders, applications to cryptography<\/li>\n<li>Arithmetic with the binary numbers, complex numbers and other number systems<\/li>\n<\/ul>\n<p><\/p>\n<p><strong>2025\/26 Course Information<\/strong><\/p>\n<p>This course will be offered in-person on <strong>Tuesdays 6:00-7:30pm<\/strong> from <strong>September 23rd<\/strong>, 2025 to April 2026 (Break in December).<\/p>\n<p><strong>Instructors: <\/strong><strong>Spencer Secord <\/strong>&amp; <strong>Christopher Middlebrook<\/strong><\/p>\n<p><strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <\/strong>[<a href=\"&#x6d;&#97;i&#x6c;&#x74;&#111;:&#x6e;&#117;m&#x62;&#x65;&#114;&#46;&#x74;&#104;e&#x6f;&#x72;&#121;&#46;&#x65;&#x6e;&#114;&#x69;&#x63;&#104;m&#x65;&#x6e;&#116;&#64;&#x67;&#109;a&#x69;&#x6c;&#46;c&#x6f;&#109;\">&#x6e;&#x75;&#109;&#98;er&#x2e;&#x74;&#x68;&#101;or&#x79;&#x2e;&#x65;&#110;&#114;i&#x63;&#x68;&#x6d;&#101;&#110;t&#x40;&#x67;&#x6d;&#97;&#105;l&#46;&#x63;&#x6f;&#x6d;<\/a>]<\/p>\n<p><\/p>\n<p><strong>Classroom for Winter Term:\u00a0 \u00a0 RB 1200 &amp; RB 1201<\/strong><\/p>\n<p><\/p>\n<p><\/p>\n<p><\/p>\n<p><strong>2026\/27 Course Information<\/strong><\/p>\n<p>This course will be offered in-person on <strong>Tuesdays 6:00-7:30pm<\/strong> from <strong>September 22nd<\/strong>, 2026 to April 2027 (Break in December).<\/p>\n<p><strong>Instructors: <\/strong><strong>Spencer Secord <\/strong>&amp; <strong>Christopher Middlebrook<\/strong><\/p>\n<p><strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <\/strong>[<a href=\"&#109;&#x61;i&#108;&#x74;o&#58;&#x6e;u&#109;&#x62;e&#114;&#x2e;&#116;&#x68;&#x65;&#111;&#x72;&#x79;&#46;&#x65;n&#114;&#x69;c&#104;&#x6d;e&#110;&#x74;&#64;&#103;&#x6d;&#97;&#x69;&#x6c;&#46;&#x63;&#x6f;&#109;\">&#110;&#x75;&#109;&#x62;e&#114;&#x2e;&#116;&#x68;e&#x6f;r&#121;&#x2e;&#101;&#x6e;r&#x69;&#x63;&#104;&#x6d;e&#x6e;t&#64;&#x67;&#109;&#x61;i&#x6c;&#46;&#99;&#x6f;&#109;<\/a>]<\/p>\n<p>Maximum enrollment is 40 students per class.<\/p>\n<p>We reserve the right to cancel the course with a full refund if minimum enrollment is not reached.<\/p>\n<p><\/p>\n<p><strong>Registration Information\u00a0<\/strong><\/p>\n<p>Registration fee: $495.<\/p>\n<p style=\"text-align: center;\"><a class=\"button__red button__red--solid\" href=\"https:\/\/payments.carleton.ca\/math\/junior-math-and-science-courses-2026-27\/\"><strong>REGISTRATION FORM<\/strong><\/a><\/p>\n<h4>If you register after Sept 20th, 2026, please email the course Instructor to let them know, so that you get relevant information promptly.<\/h4>\n<p><!---\nThis class is now full. Please place your name on the waiting list, and we will invite you to register as spots become available.\n\n<center>\n<a class=\"button__red button__red--solid\" href=\"https:\/\/enrichment.math.carleton.ca\/enrichment\/registration\/\"><strong> WAITING LIST<\/strong><\/a><\/center>\n---><br \/>\nFor students with limited financial resources fee waivers may be available. If you intend to apply for a fee waiver, please do NOT complete the regular registration. If you register for a course and then get approval for a fee waiver, there will be a non-refundable administration fee of $25 per registration.<\/p>\n<p><a href=\"https:\/\/carleton.ca\/math\/math-enrichment-centre\/fee-waiver\/\">Fee Waiver Information and Application<\/a><\/p>\n<h4><strong>Refund Policy<\/strong><\/h4>\n<p>100% refund prior to August 31st<br \/>\n95% refund prior to September 30th<br \/>\n75% refund prior to October 31st<br \/>\n50% refund prior to November 30th<\/p>\n<p>To request refund, please <a href=\"https:\/\/payments.carleton.ca\/math\/math-enrichment-centre-refund-application\/\">complete this form<\/a>\u00a0before the deadline.<\/p>\n<h4><strong>Inquiries<\/strong><\/h4>\n<p>For more information, please write to <a href=\"&#x6d;&#x61;&#105;l&#x74;&#x6f;&#x3a;&#77;U&#x52;&#x41;&#x54;&#85;Y&#x41;&#x52;&#x40;&#99;m&#x61;&#x69;&#x6c;&#46;c&#x61;&#x72;&#x6c;&#101;t&#x6f;&#x6e;&#x2e;&#99;a\">&#110;&#x75;&#109;&#x62;&#101;&#x72;&#46;&#x74;h&#101;&#x6f;&#114;&#x79;&#46;&#x65;n&#x72;i&#99;&#x68;&#109;&#x65;&#110;&#x74;&#64;&#x67;m&#x61;i&#108;&#x2e;&#99;&#x6f;&#109;<br \/>\n<\/a><strong><span style=\"color: #1a1a1a; font-family: 'Helvetica',sans-serif;\">Please note we are unable to answer any inquiries by phone.<\/span><\/strong><\/p>\n<h4><strong>Need Directions?<\/strong><\/h4>\n<p><a href=\"http:\/\/carleton.ca\/campus\/map\">Carleton University Campus Map<\/a><\/p>\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Number Theory &#8211; Grades 6 &amp; 7* *For younger students, this refers to the level of mathematics and not to the actual age. This is a challenging pre-algebra course. Some of the topics that we will discuss include the following: Arithmetic with negative numbers and with fractions Simplifying difficult arithmetic expressions Divisibility, prime numbers Greatest [&hellip;]<\/p>\n","protected":false},"author":18,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":"","_links_to":"","_links_to_target":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Number Theory - School of Mathematics and Statistics<\/title>\n<meta name=\"description\" content=\"Number Theory - Grades 6 &amp; 7* *For younger students, this refers to the level of mathematics and not to the actual age. 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