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What follows are my lecture notes for a first course in differential equations taught at the Hong Kong University of Science and Technology. Included in these 



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Natural numbers — These are the “whole numbers” 123 that we learn first at about the same time as we learn the alphabet We will denote this collection 



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of subjects in a more natural order In the Differential Calculus illustrations of the " derivative" aave been introduced in Chapter II and applications 



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Introduction to Differential Calculus (PDF 44P) This lecture note explains the following topics: What is the derivative How do we find derivatives 

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