Some of the topics that will be discussed in this course are functions, the real numbers, least upper bounds, sequences, and limits of sequences and functions. The course will emphasize the theoretical aspects of the subject. A principal objective of the course is that students learn to understand the various definitions and to use them to prove basic properties of the objects being defined. The structure of proofs and the basic logic underlying these proofs will be carefully considered. Relatively little effort will be devoted to problems involving calculations, except when they are useful for explaining the concepts.
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The grading will be based on homework, one or two tests and a final examination.