To decrease the failure rate in analysis and make it a less traumatic experience for both the students and the instructor, authors have offered a pre-analysis course for the last several years at the University of Colorado at Colorado Springs.

Students are strongly advised to take one semester of pre-analysis, and they then take the required one semester of analysis. The experiment has been remarkably successful. The failure rate in analysis has dropped significantly, and authors get many more positive comments about the whole learning experience. The only problem is that there are rather few textbooks available for a pre-analysis course. The main goal of this work is to provide such a textbook.

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