College of the Holy Cross, Spring 2012

Math 242 (Principles of Analysis)

Professor Hwang (rhymes with song).

Teaching schedule and office hours.

Last modified: April 28, 2012

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Course Information

The course text is Understanding Analysis, by Stephen Abbott.

• Lecture Schedule
• Problem Sets
• Course Outline

Extra Resources

• Godfrey Harold Hardy's free 1921 text A Course of Pure Mathematics (third edition) is a more calculus-flavored account of introductory analysis.

Miscellaneous Images and Animations

• Pointwise versus uniform convergence.
• Zooming in on a nowhere differentiable function.
• Tangent lines to the graph y = x²sin(1/x).
• Zooming in at the origin on the graph y = x²sin(1/x).

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Handouts

• Properties of the Integral.
• The Cantor Function.
• Sequences Defined by Iteration.
• Limits.
• Compactness.
• Open and Closed Sets.
• Subsequences and Sets of Terms.
• Limit Games.
• The Bolzano-Weierstrass Theorem.
• Mappings.
• The Triangle Inequality.
• The Real Number System.
• Adversarial Games, Logic, and Intuition.