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Course Info

  • Course Number / Code:
  • 18.014 (Fall 2002) 
  • Course Title:
  • Calculus with Theory I 
  • Course Level:
  • Undergraduate 
  • Offered by :
  • Massachusetts Institute of Technology (MIT)
    Massachusetts, United States  
  • Department:
  • Mathematics 
  • Course Instructor(s):
  • Dr. Anna Lachowska
    Prof. James Munkres 
  • Course Introduction:
  •  


  • 18.014 Calculus with Theory I



    Fall 2002




    Course Highlights


    This is the first course in a two-part sequence on Calculus with Theory, 18.014 and 18.024. The course is taught using the textbook by T. Apostol, "Calculus" Vol. I Second Edition (1967) and the additional course notes by James Raymond Munkres, Professor of Mathematics, Emeritus. The website features problem setsrecitation assignments, and course notes.

    » Download the complete contents of this course.



    Course Description


    18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus.

    Topics: Axioms for the real numbers; the Riemann integral; limits, theorems on continuous functions; derivatives of functions of one variable; the fundamental theorems of calculus; Taylor's theorem; infinite series, power series, rigorous treatment of the elementary functions.

    Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor, Natasha Bershadsky, and Alex Retakh for their help with this course web site.

     

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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