{"id":21689,"date":"2022-06-21T15:16:45","date_gmt":"2022-06-21T19:16:45","guid":{"rendered":"https:\/\/carleton.ca\/math\/?page_id=21689"},"modified":"2026-10-19T21:32:54","modified_gmt":"2026-10-20T01:32:54","slug":"computer-geometry-i","status":"publish","type":"page","link":"https:\/\/carleton.ca\/math\/computer-geometry-i\/","title":{"rendered":"Computer Geometry I"},"content":{"rendered":"<h4><span class=\"Apple-style-span\">Computer Geometry I (Online Course) &#8211; Grade 7 &amp; 8*<\/span><\/h4>\n<p>*Refers to the level of mathematics and not to the actual age.<\/p>\n<p>The course will cover the following topics:<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Axioms of Euclidean Geometry<\/li>\n<li>Symmetry transformations of a plane<\/li>\n<li>Triangles<\/li>\n<li>Parallel lines<\/li>\n<li>Circle<\/li>\n<li>Isosceles and equilateral triangles<\/li>\n<li>Area<\/li>\n<li>Thales&#8217; theorem<\/li>\n<li>Congruency of triangles<\/li>\n<li>Pythagoras&#8217; Theorem<\/li>\n<li>Vector Geometry<\/li>\n<li>Introduction to Trigonometry<\/li>\n<li>Law of Sines, Cosine Law<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>The concept of this course is to combine modern computer technology with the classical Euclidean Geometry. We will see how to use the axioms of Euclid in order to create rigorous proofs in Geometry. This rigorous and logical approach is the best preparation for the future study of Computer Science.<\/p>\n<p>This course will be assignment-based. Each Thursday we will post a pre-recorded lecture and an assignment with 4 challenging problems. A key element of this course is one-on-one meetings with the Teaching Assistants, who are Carleton University Math Honours students. Each student in this course will book each week (Friday to Monday) an individual time slot, at a time convenient for you, for a 20-minute one-on-one discussion with a Teaching Assistant. The purpose of this meeting is to review the progress on the home assignment and get help with any difficulties. There is also an alternative option to book a 40-minute time slot with 2 students. After the meeting with a Teaching Assistant, students will complete home assignments, which will be submitted the following Thursday for marking.<\/p>\n<p>In this course we will use <a href=\"https:\/\/www.geogebra.org\/\">Geogebra<\/a> platform for computer geometry.<\/p>\n<p>For Ottawa students we recommend taking &#8220;Fundamentals of Geometry I&#8221;.<\/p>\n<p><\/p>\n<h4><strong>2026\/27 Course Information<\/strong><\/h4>\n<p>The course will run <strong>online<\/strong> from <strong>September 24th,<\/strong> 2026 to April 2027 asynchronously (with a break in December).<\/p>\n<p>Instructor: <strong>Yuly Billig<\/strong> <a href=\"&#x6d;a&#x69;&#108;&#x74;&#111;:&#x62;i&#x6c;&#108;&#x69;&#103;&#64;&#x6d;&#97;&#x74;&#104;&#46;&#x63;a&#x72;&#108;&#x65;&#116;o&#x6e;&#46;&#x63;&#97;\">&#x62;&#105;&#x6c;&#x6c;&#105;&#x67;&#64;m&#x61;&#116;h&#x2e;&#99;a&#x72;&#108;e&#x74;&#111;&#x6e;&#x2e;&#99;&#x61;<\/a><\/p>\n<p><\/p>\n<p><strong>Registration Information<\/strong><\/p>\n<p>Registration for the 2026\u20132027 academic year is now closed. Registration for 2027\u20132028 will open in May 2027.<\/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=\"m&#97;&#105;&#x6c;&#x74;&#x6f;:b&#105;&#108;&#x6c;&#x69;&#x67;&#64;&#109;&#97;&#116;&#x68;&#x2e;&#x63;a&#114;&#108;&#x65;&#x74;&#x6f;n&#46;&#99;&#97;\">b&#105;&#108;&#108;&#x69;&#x67;&#x40;ma&#116;&#104;&#x2e;&#x63;&#x61;&#x72;le&#116;&#111;&#x6e;&#x2e;&#x63;&#x61;<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=\"https:\/\/carleton.ca\/campus-map\/\">Carleton University Campus Map<\/a><\/p>\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Computer Geometry I (Online Course) &#8211; Grade 7 &amp; 8* *Refers to the level of mathematics and not to the actual age. The course will cover the following topics: Axioms of Euclidean Geometry Symmetry transformations of a plane Triangles Parallel lines Circle Isosceles and equilateral triangles Area Thales&#8217; theorem Congruency of triangles Pythagoras&#8217; Theorem Vector [&hellip;]<\/p>\n","protected":false},"author":34,"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>Computer Geometry I - School of Mathematics and Statistics<\/title>\n<meta name=\"description\" content=\"Computer Geometry I (Online Course) - Grade 7 &amp; 8* *Refers to the level of mathematics and not to the actual age. 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