MATH 115 - Accelerated Calculus Part I: Differentiation and Integration

Prerequisite, MATH 101 or equivalent. This course is an intensive introduction to the calculus of elementary functions and its applications to science. Students study fundamental concepts of limits, continuity, and derivatives, and explore the derivatives and integrals of polynomials, rational functions, exponentials, logarithms, and trigonometric functions, followed by the chain rule, implicit differentiation, logarithmic differentiation, applications of differentiation, optimization, definite integrals, Riemann sums and the fundamental theorem of Calculus, applications of integration, integration techniques and methods, sequences and series, introduction to differential equations, power series. Students who take MATH 109 or MATH 110 may not also receive credit for MATH 115. Letter grade. (Offered fall semester.) 4 credits