Preliminaries:
         The completeness axiom, the real number line, inequalities, and identities.

      Sequences:
    	 Convergence, monotone convergence theorem, compactness and the sequential
	 compactness theorem.

      Continuity:
         Definitions, the extreme value theorem (EVT), the intermediate value theorem
	 (IVT), uniform continuity, epsilon-delta criterion, images and inverses, 
	 monotone functions, limits.

      Differentiation:
         Definitions, differentiating inverses and compositions, the mean value theorem
	 (MVT), the Cauchy (generalized) mean value theorem (GMVT).

Other References:
     1.  Counterexamples in Analysis, B. R. Gelbaum and J. M. H. Olmsted, 1964.
     2.  A Primer of Real Functions, R. P. Boas, Jr., MAA Carus Monograph #13, 4th. ed., 1996.
     3.  Advanced Calculus, R. C. Buck, 3rd. ed., 1978.
     4.  Introduction to Analysis, M. Rosenlicht, 1968.
     5.  Principles of Mathematical Analysis, W. Rudin, 3rd. ed., 1976.  ("Baby Rudin") 


Homework Sets:

	
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