Courses:

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.