{"id":31,"date":"2019-06-03T21:23:00","date_gmt":"2019-06-03T21:23:00","guid":{"rendered":"http:\/\/francis-su.104.42.120.246.xip.io\/?page_id=31"},"modified":"2026-07-27T03:23:06","modified_gmt":"2026-07-27T03:23:06","slug":"courses","status":"publish","type":"page","link":"https:\/\/math.hmc.edu\/su\/courses\/","title":{"rendered":"Teaching &amp; Courses"},"content":{"rendered":"\n<div id=\"teaching-top\" class=\"wp-block-group fs-page fs-teaching\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"fs-lede wp-block-paragraph\">I teach courses across the mathematics curriculum, from calculus, linear algebra, probability, and discrete mathematics to real analysis, topology, algebraic topology, geometric combinatorics, game theory, and social choice. I am especially interested in inquiry, mathematical writing, collaborative problem-solving, and helping students experience mathematics as a creative and human activity.<\/p>\n\n\n\n<p class=\"fs-jump wp-block-paragraph\"><strong>Jump to:<\/strong> <a href=\"#recent-course-websites\">recent course websites<\/a> \u00b7 <a href=\"#open-courses-resources\">open courses &amp; resources<\/a> \u00b7 <a href=\"#course-archive\">course archive<\/a> \u00b7 <a href=\"#courses-taught\">courses taught<\/a> \u00b7 <a href=\"#mentoring-development\">mentoring &amp; development<\/a><\/p>\n\n\n\n<h2 id=\"recent-course-websites\" class=\"wp-block-heading\">Recent course websites<\/h2>\n\n\n\n<p class=\"fs-note wp-block-paragraph\">These pages document courses as they were taught in particular semesters. Schedules, policies, assignments, personnel, and external systems may no longer be current.<\/p>\n\n\n\n<ul class=\"wp-block-list fs-link-list\">\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math55\/\"><strong>Discrete Mathematics (Math 55)<\/strong><\/a> \u2014 Spring 2026<\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math147-spring2025\/\"><strong>Topology (Math 147)<\/strong><\/a> \u2014 Spring 2025<\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math132\/\"><strong>Real Analysis II (Math 132)<\/strong><\/a> \u2014 Fall 2022<\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math188\/\"><strong>Social Choice and Decision Making (Math 188)<\/strong><\/a> \u2014 Summer 2021<\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math131\/\"><strong>Real Analysis I (Math 131)<\/strong><\/a> \u2014 Spring 2020<\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math172\/\"><strong>Galois Theory (Math 172)<\/strong><\/a> \u2014 Spring 2020<\/li>\n<\/ul>\n\n\n\n<h2 id=\"open-courses-resources\" class=\"wp-block-heading\">Open courses &amp; teaching resources<\/h2>\n\n\n\n<div class=\"wp-block-group fs-directory\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group fs-directory-item\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\"><a href=\"https:\/\/math.hmc.edu\/su\/real-analysis-youtube\/\">Real Analysis Video Course<\/a><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Twenty-six undergraduate lectures, with a complete playlist, individual lecture links, notes, an archived course page, and an updated FAQ.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group fs-directory-item\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\"><a href=\"https:\/\/math.hmc.edu\/su\/writing-math-well\/\">Writing Mathematics Well<\/a><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Short handouts I made for lower-division students and mathematics majors about good mathematical writing.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group fs-directory-item\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\"><a href=\"https:\/\/math.hmc.edu\/su\/collaborating-on-mathematics\/\">Collaborating on Mathematics<\/a><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A department handout about productive, responsible, and equitable mathematical collaboration.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group fs-directory-item\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\"><a href=\"https:\/\/math.hmc.edu\/su\/topology-through-inquiry\/\">Topology Through Inquiry resources<\/a><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Instructor guidance, LaTeX files, sample syllabi, and other materials for an inquiry-based topology course.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<h2 id=\"course-archive\" class=\"wp-block-heading\">Course archive<\/h2>\n\n\n\n<div class=\"wp-block-columns fs-two-column is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<h3 class=\"wp-block-heading\">Foundational courses<\/h3>\n\n\n\n<ul class=\"wp-block-list fs-link-list\">\n<li><a href=\"https:\/\/math.hmc.edu\/math11\/\">Calculus of one real or complex variable (Math 11)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math14\/\">Multivariable Calculus I (Math 14)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math61b\/\">Multivariable Calculus II (Math 61b)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math62\/\">Probability and Statistics (Math 62)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math12b\/06\/\">Linear Algebra \u2014 archived course site<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math5\/\">Multivariable Calculus (Math 5) \u2014 archived course site<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Proof-based core<\/h3>\n\n\n\n<ul class=\"wp-block-list fs-link-list\">\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math55\/\">Discrete Mathematics (Math 55)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math172\/\">Galois Theory (Math 172)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math131\/\">Real Analysis I (Math 131)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math132\/\">Real Analysis II (Math 132)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math147-spring2025\/\">Topology (Math 147), Spring 2025<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/muddmath147.wordpress.com\/\">Topology (Math 147) \u2014 earlier archive<\/a><\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<h3 class=\"wp-block-heading\">Advanced &amp; interdisciplinary<\/h3>\n\n\n\n<ul class=\"wp-block-list fs-link-list\">\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math189\">Algebraic Topology<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math189\/04s\/\">Geometric Combinatorics and Polytopes<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math188\/\">Social Choice and Decision Making<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math191\/\">Putnam Seminar<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math151\/\">Probability (Math 151) \u2014 archive<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/math.hmc.edu\/su\/math157\">Probability (Math 157) \u2014 archive<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Course-page convention<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">For each course, the newest semester should appear first. When a course ends, retain the page as an archive but add a visible notice stating the semester and noting that dates, policies, and external links may be outdated.<\/p>\n<\/div>\n<\/div>\n\n\n\n<h2 id=\"courses-taught\" class=\"wp-block-heading\">Courses taught<\/h2>\n\n\n\n<p class=\"fs-course-catalog wp-block-paragraph\">Abstract Algebra II: Galois Theory \u00b7 Algebraic Topology \u00b7 Calculus \u00b7 Differential Equations \u00b7 Discrete Mathematics \u00b7 Dynamical Systems \u00b7 Game Theory \u00b7 Geometric Combinatorics and Polytopes \u00b7 Intermediate Probability \u00b7 Introduction to Academic Writing \u00b7 Introduction to Probability and Statistics \u00b7 Linear Algebra \u00b7 Mathematics Clinic \u00b7 Mathematics for Human Flourishing \u00b7 Multivariable Calculus \u00b7 Putnam Seminar \u00b7 Real Analysis I \u00b7 Real Analysis II \u00b7 Science and Religion \u00b7 Social Choice and Decision Making \u00b7 Topology.<\/p>\n\n\n\n<h2 id=\"mentoring-development\" class=\"wp-block-heading\">Mentoring &amp; professional development<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">I have mentored more than 80 research, thesis, and other students. My teaching work has also included short courses and professional development for Math for America, MathPath, Scots College in Sydney, and school mathematics teachers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/math.hmc.edu\/su\/bio\/#curriculum-vitae\">See the full curriculum vitae for the complete mentoring and teaching record \u2192<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>I teach courses across the mathematics curriculum, from calculus, linear algebra, probability, and discrete mathematics to real analysis, topology, algebraic topology, geometric combinatorics, game theory, and social choice. I am especially interested in inquiry, mathematical writing, collaborative problem-solving, and helping students experience mathematics as a creative and human activity. Jump to: recent course websites \u00b7 [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"footnotes":""},"tags":[],"class_list":["post-31","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/math.hmc.edu\/su\/wp-json\/wp\/v2\/pages\/31","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.hmc.edu\/su\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.hmc.edu\/su\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.hmc.edu\/su\/wp-json\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/math.hmc.edu\/su\/wp-json\/wp\/v2\/comments?post=31"}],"version-history":[{"count":7,"href":"https:\/\/math.hmc.edu\/su\/wp-json\/wp\/v2\/pages\/31\/revisions"}],"predecessor-version":[{"id":1642,"href":"https:\/\/math.hmc.edu\/su\/wp-json\/wp\/v2\/pages\/31\/revisions\/1642"}],"wp:attachment":[{"href":"https:\/\/math.hmc.edu\/su\/wp-json\/wp\/v2\/media?parent=31"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.hmc.edu\/su\/wp-json\/wp\/v2\/tags?post=31"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}