{"id":2656,"date":"2021-06-11T23:11:45","date_gmt":"2021-06-12T03:11:45","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/avince\/?page_id=2656"},"modified":"2026-03-19T08:15:14","modified_gmt":"2026-03-19T12:15:14","slug":"advanced-calculus","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/avince\/advanced-calculus\/","title":{"rendered":"Real Analysis and Advanced Calculus"},"content":{"rendered":"\r\n
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Real Analysis and Advanced Calculus<\/h1>\n\n\n\n
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MAA 4211<\/span><\/strong><\/p>\n\n\n\n\n\n

Fall 2024<\/span><\/strong><\/p>\n\n\n\n

______________________________________________________<\/p>\n\n\n\n\n\n

Time:<\/span><\/b>\u00a0 \u00a0 MWF period 5<\/span><\/p>\n\n\n\n\n\n

Place:<\/span><\/b>\u00a0 \u00a0MAT 105<\/span><\/p>\n\n\n\n\n\n

Email<\/b>:\u00a0 \u00a0avince@ufl.edu\u00a0<\/span><\/p>\n\n\n\n\n\n

Office <\/strong>: 438 Little Hall<\/span><\/p>\n\n\n\n\n\n

Office hours<\/strong>:\u00a0 MWF – period 6 or by appointment\u00a0<\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n

Textbook:<\/b>\u00a0 Understanding Analysis, 2nd edition by S. Abbott<\/span><\/p>\n\n\n\n\n\n

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<\/a>Advanced Calculus<\/span><\/h3>\n\n\n\n


\nThe topics of this course include: the real numbers, functions defined on the real line, the derivative, and the Riemann integral.\u00a0 The topics are familiar from calculus. This semester, however, they are covered in a rigorous and proof oriented way.<\/span><\/p>\n\n\n\n\n\n\n\n\n\n

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<\/a>Homework<\/span><\/h3>\n\n\n\n
See canvas.<\/span><\/pre>\n\n\n\n
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Topics\u00a0<\/span><\/h3>\n\n\n\n
The real numbers <\/span><\/p>\n\n\n\n\n\n
Sequences and series of real numbers <\/span><\/p>\n\n\n\n\n\n
Basic point set topology of the real line <\/span><\/p>\n\n\n\n\n\n
Limits and continuity <\/span><\/p>\n\n\n\n\n\n
The derivative <\/span><\/p>\n\n\n\n\n\n
Sequences and series of functions <\/span><\/p>\n\n\n\n\n\n
The Riemann Integral \u00a0\u00a0 <\/span><\/p>\n\n\n\n
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<\/a>
\nGrades<\/span><\/h3>\n\n\n\n
See canvas.<\/span><\/pre>\n\n\n\n
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<\/a>Campus Resources<\/span><\/h3>\n\n\n\n
The course will be conducted in accordance with the\u00a0<\/span>Academic Honesty Policy <\/a><\/span>\u00a0and policy regarding the use of copyrighted material.<\/span><\/span><\/p>\n\n\n\n\n\n
Students with disabilities requesting accommodations should first register with the  Disability Resource Center<\/a><\/span>\u00a0by providing appropriate documentation. Once registered, students will receive an accommodation letter which must be presented to the instructor when requesting accommodation. Students with disabilities should follow this procedure as early as possible in the semester. <\/span><\/p>\n\n\n\n\n\n
Academic advise <\/span><\/a>and tutoring<\/a><\/span>, as well as <\/span>health advise<\/span><\/a><\/span>\u00a0(physical and mental) is available to students.<\/span><\/span><\/p>\n\n\n\n\n\n
Requirements for class attendance and make-up exams, assignments, and other work in this course are consistent with university policies that can be found at:<\/span> Attendance Policies <\/a><\/span><\/p>\n\n\n\n\n\n
Information on current UF grading policies for assigning grade points may be found at: Grades<\/span><\/a><\/span><\/p>\n\n\n\n\n\n
Students are expected to provide feedback on the quality of instruction in this course by completing a course evaluation online via GatorEvals<\/span><\/span><\/a>. Students will be notified when the evaluation period opens and can complete evaluations through the email they receive from GatorEvals or in their Canvas <\/span><\/span>course menu under GatorEvals.<\/span><\/p>\n\n\n\n
\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":289,"featured_media":0,"parent":0,"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-2656","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/pages\/2656","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/users\/289"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/comments?post=2656"}],"version-history":[{"count":11,"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/pages\/2656\/revisions"}],"predecessor-version":[{"id":2976,"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/pages\/2656\/revisions\/2976"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/avince\/wp-json\/wp\/v2\/media?parent=2656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}