A theoretical course in calculus; emphasizing proofs and techniques. Elementary logic, limits and continuity, least upper bounds, intermediate and extreme value theorems. Derivatives, mean value and inverse function theorems. Integrals, fundamental theorem, elementary transcendental functions. Techniques of integration. Taylor's theorem; sequences and series; uniform convergence and power series. This course is required for the Mathematics Specialist, the Applied Mathematics Specialist, the Mathematics and Physics Specialist, and the Mathematics and Philosophy Specialist program and provides a strong theoretical mathematics background.