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Course Info

  • Course Number / Code:
  • 18.100A (Fall 2007) 
  • Course Title:
  • Analysis I 
  • Course Level:
  • Undergraduate 
  • Offered by :
  • Massachusetts Institute of Technology (MIT)
    Massachusetts, United States  
  • Department:
  • Mathematics 
  • Course Instructor(s):
  • Prof. Arthur Mattuck 
  • Course Introduction:
  •  


  • 18.100A Analysis I



    Fall 2007




    Course Highlights


    This course features a somewhat gentler introduction to the standard Analysis I material than the traditional course. It emphasizes one-variable analysis and de-emphasizes point-set topology. It assumes students did well in a standard single-variable calculus course.

    The textbook is written in a user-friendly style, discursive rather than brief, making the book usable for self-study.



    Course Description


    Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space.

    MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication.

     

ACKNOWLEDGEMENT:
This course content is a redistribution of MIT Open Courses. Access to the course materials is free to all users.






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