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01:640:311 - Introduction to Real Analysis I

Course Description (Catalog Copy)

01:640:311 Introduction to Real Analysis I (4) 
Introduction to language and fundamental concepts of analysis. The real numbers, sequences, limits, continuity, differentiation in one variable.

Prerequisites

  • CALC 4  01:640:300 or permission of department.

Textbook (regular sections)

Introduction to Analysis, 5th edn. by E. D. Gaughan, Cengage, ISBN: 0-534-35177-8;ISBN-13: 9780534351779.

We recommended the paperback edition through Fall 2008. Now we are using the hardcover.

311H (Honors Section)

Understanding Analysis, 2nd edn. by Stephen Abbott, Springer ISBN: 978-1493927111 2015
Electronic Version available Rutgers University Library  

Course goals

  • Strengthening student's understanding of
    • the results of calculus and the basis for their validity
    • the uses of deductive reasoning
  • Increasing the student's ability to
    • understand definitions
    • understand proofs  
    • analyze conjectures 
    • find counter-examples to false statements,  
    • construct proofs of true statements
  • Enhancing the student's mathematical communication skills

2017 - Spring webpage


Current Semester Sections

For more information on instructors and sections for this course, please see our Teaching Schedule Page

Disclaimer: Posted for informational purposes only

This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.

Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook list.

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Department of Mathematics

Department of Mathematics
Rutgers University
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