<p>Number theory is so much more fun than analysis! That said, have you tried taking a more theoretical approach to calculus? Take a look at the following two (freshman level) courses at MIT:
- 18.014 Calculus with Theory - <a href=“Calculus with Theory | Mathematics | MIT OpenCourseWare”>http://ocw.mit.edu/courses/mathematics/18-014-calculus-with-theory-fall-2010/</a>
- 18.024 Multivariable Calculus with Theory - <a href=“Multivariable Calculus with Theory | Mathematics | MIT OpenCourseWare”>http://ocw.mit.edu/courses/mathematics/18-024-multivariable-calculus-with-theory-spring-2011/</a></p>
<p>While this doesn’t directly answer your question, it might help analysis seem a little more bearable.</p>