MATH 071H — Honors Calculus I With Analytic Geometry 5 Units
Students study functions and inverse functions, limits, the formal definition of the limit, the derivative as a limit, continuity, rules of differentiation, chain rule, implicit differentiation, applications of differentiation, linear approximations, related rates, optimization problems, antiderivatives, Riemann sums, the Fundamental Theorem of Calculus, and the substitution rule for integration. This is the first course in the calculus sequence for students majoring in mathematics, physical science, computer science, or engineering. As an honors course the focus will extend the understanding the theory and application of differential calculus through projects, extended readings, or programming and computational problems. (C-ID MATH 210)