MATH 5851 02: Topics in Analysis

MATH 5851 - Topics in Analysis

Summer 2026 Syllabus, Section 02, CRN 30990,

Credit hours: 4

Course Meeting Times

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Instructor

Thomas Wakefield

Professional Qualifications:
PhD, Mathematics

Professor

Email: tpwakefield@ysu.edu

Office: Cafaro Hall 501

Office Phone: 330-941-3302

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Course Description

5851. Topics in Analysis. A course in analysis aimed at developing a broad understanding of the subject. Credit will not be given for both MATH 3751 and MATH 5851. Prereq.: Permission of graduate coordinator or department chair. 4 s.h.

Course Readings

Group Title Author ISBN
Required Introduction to Real Analysis, 4th ed Bartle and Sherbert

The course readings are subject to change in the event of extenuating circumstances, research developments, current events, and/or to ensure better learning.  

Course Learning Outcomes/Objectives/Goals

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How to Succeed in This Course

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Attendance Expectations

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Late Work Submission Policy

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Additional Course Expectations

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Artificial Intelligence Policy Statement

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Assignments/Assessments

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Grading and Grading Scale

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University Policies

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Schedule of Topics and Assignments

Week of Reading(s) Proposed Topic Due/To Prepare for Class
5/11 Sections 2.1-2.5 Real Numbers Real Number Exercises
5/18 Sections 3.1-3.7 Sequences Sequence Exercises
5/25 Sections 4.1-4.3 Limits Limit Exercises
Midterm Exam
6/1 Sections 5.1-5.4 Continuity Continuity Exercises
6/8 Sections 6.1-6.4 Differentiation Differentiation Exercises
6/15 Sections 7.1-7.3 Integration Integration Exercises
6/22 Final Exam

The course schedule, policies, procedures, and assignments in this course are subject to change in the event of extenuating circumstances, by mutual agreement, and/or to ensure better learning.