Functions and graphs. Functions as mathematical models. The derivative as a rate of variation. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. The definite integral as total accumulation. Integration. The Fundamental Theorem of Calculus. Optimization. Applications in the context of business and economics. Prerequisite: Math 30-1 or Math 30-2. Credit may be obtained in only one of AUMAT 116 and AUMAT 154.