Calculus is complicated. Most undergraduate students in the United States who major in mathematics take six courses in functions and limits (e.g. elementary ca

Calculus is complicated. Most undergraduate students in the United States who major in mathematics take six courses in functions and limits (e.g. elementary calculus—(two courses), multivariable calculus, elementary analysis, complex analysis, and real analysis). Moreover, while the proofs in analysis are far more satisfying than the proofs encountered in elementary calculus, many students remain unsatisfied until their analysis courses in graduate school!