Youngstown State University
Department of Mathematics and Statistics
Course Outline for Mathematics 5852

Course Title: Real Analysis 2

Course Credit: 3 s. h.

Text: Thomson, B., Elementary Real Analysis,

Course Prereq: MATH 3720 and 3751 or equivalent

Course Description: Uniform convergence of sequences of functions and some consequences; functions on n-space: derivatives in vector spaces, mean value theorem, Taylor's formula, inverse mapping theorem, implicit mapping theorem.

Course Objectives:

Course Assignments:

  9.1 – 6       Sequences and series of functions, Pointwise and uniform convergence

10.1 – 6       Power series

11.1 – 9       The algebraic and metric structure of Rn, Mappings from Rn into Rm, limits

12.1 – 6       Differentiation on Rn, inverse function theorem, Implicit function theorem

Learning Outcomes:


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Students with Disabilities:

Youngstown State University is committed to providing reasonable accommodations for all persons with disabilities. This syllabus is available in alternative format upon request. In accordance with University procedures, if you have a documented disability and require accommodations to obtain equal access in this course, please contact me privately to discuss your specific needs. You must be registered with the Center for Student Progress Disability Services, located in Kilcawley Center 2082, and provide a letter of accommodation to coordinate reasonable accommodations. You can reach CSP Disability Services at 330-941-1372.

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As outlined in The Student Code of Conduct, all forms of academic dishonesty are prohibited at Youngstown State. This includes plagiarism, the unauthorized use of tools or notes in taking tests or completing assignments, fabrication of data or information used for an assignment, working with others without permission from the instructor, and more. A student who is believed to have violated the academic integrity policy will meet with the instructor to discuss the allegations. The student may accept responsibility for the violation and any sanctions selected by the instructor, or they have the right to ask for a hearing before a hearing panel. The full Academic Integrity policy can be found in Article III.1. of The Student Code of Conduct, while further information on University procedures for alleged academic integrity violations can be found in Article V.

Cancelled Class Policy:

Notice that this class is being cancelled for any one day because of instructor illness or other reasons will be sent to student address ⟨ . . . ⟩ as soon as possible.

Semester:   Fall 2018

Important Dates Fall Term:

Last Day to drop the course with a grade of "W":     Friday, October 26, 2018