This is a beginner's course in mathematical analysis. The topics covered will be approximately those of a standard Calculus I course, plus a few typically from Calculus II. The style and format, though, will be rather different from the standard Calculus sequence. A higher level of mathematical rigor, and a deeper understanding of the few fundamental concepts involved, will be preferred to a more extensive syllabus.  The course is intended for math majors and students with a serious mathematical interest.